1. To determine how many ones blocks you need to add to change the model from 128 to 146, you can subtract 128 from 146.146 - 128 = 18Since the options provided are 10, 12, 14, and 16, it looks like there might be an error in the options, as none of them corresponds to 18. If you're able to check withRead more

    To determine how many ones blocks you need to add to change the model from 128 to 146, you can subtract 128 from 146.

    146 – 128 = 18

    Since the options provided are 10, 12, 14, and 16, it looks like there might be an error in the options, as none of them corresponds to 18.

    If you’re able to check with your instructor or look into the question further, that would be great!

    If you’re looking for more in-depth help, feel free to check the extended services page!

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  2. To identify a possible graph of two points with opposite X-coordinates and opposite Y-coordinates, you need to understand what these conditions imply.Let’s say you have two points: Point A (x1, y1) and Point B (x2, y2). If Point A has coordinates (a, b), then for Point B to have opposite coordinatesRead more

    To identify a possible graph of two points with opposite X-coordinates and opposite Y-coordinates, you need to understand what these conditions imply.

    Let’s say you have two points: Point A (x1, y1) and Point B (x2, y2). If Point A has coordinates (a, b), then for Point B to have opposite coordinates, it must be (-a, -b).

    This means that if Point A is in the first quadrant, Point B would be in the third quadrant, and vice versa. They would be reflected through the origin (0,0).

    When assessing the options (A, B, C, D), look for points that are positioned this way on the graph. One point would be in a quadrant, and the other would be directly opposite it in the opposite quadrant.

    Without the specific options, I can’t point to the exact answer, but ensure to look for this quadrant reflection when making your selection. If you need help analyzing the specific graphs, feel free to ask! For a deeper exploration, consider checking out our extended services page.

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  3. 1. Usually, when you add 99 to a number, you need to add 100 and then subtract 1.- Explanation: Adding 99 can be thought of as adding 100 and then just taking away 1, which simplifies the calculation. 2. Usually, when you add 100 to a number, you increase the number by one hundred.- Explanation: AddRead more

    1. Usually, when you add 99 to a number, you need to add 100 and then subtract 1.

    – Explanation: Adding 99 can be thought of as adding 100 and then just taking away 1, which simplifies the calculation.

    2. Usually, when you add 100 to a number, you increase the number by one hundred.

    – Explanation: Adding 100 directly increases the total value of the number by 100, which is straightforward.

    3. When you subtract 1 from a number, you decrease the number by one.

    – Explanation: Subtracting 1 means taking one unit away from the original number, which lowers its value.

    These steps help in understanding simple arithmetic operations better! If you have more questions or need further explanations, feel free to ask!

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  4. The correct answer is: The point will cross over the y-axis.When you change the sign of a point's X-coordinate from positive to negative, it means you are reflecting the point across the y-axis. For example, if a point has coordinates (3, 2) and you change the X-coordinate to negative, it becomes (-Read more

    The correct answer is: The point will cross over the y-axis.

    When you change the sign of a point’s X-coordinate from positive to negative, it means you are reflecting the point across the y-axis. For example, if a point has coordinates (3, 2) and you change the X-coordinate to negative, it becomes (-3, 2), which is now on the opposite side of the y-axis.

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  5. If you change the sign of a point's y-coordinate, the correct answer is: The point will cross over the X-axis.Explanation: When you change the sign of the y-coordinate, you effectively reflect the point across the X-axis. For example, if you have a point (x, y) and you change it to (x, -y), its y-coRead more

    If you change the sign of a point’s y-coordinate, the correct answer is: The point will cross over the X-axis.

    Explanation: When you change the sign of the y-coordinate, you effectively reflect the point across the X-axis. For example, if you have a point (x, y) and you change it to (x, -y), its y-coordinate has switched from positive to negative or vice versa, which means it moves from above the X-axis to below it or the other way around. This results in the point crossing the X-axis.

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  6. If you change the sign of a point's y-coordinate, the point will cross over the x-axis.Explanation: Changing the sign of the y-coordinate means that if the original point is above the x-axis (positive y), it will move to the same distance below the x-axis (negative y), and vice versa. This movementRead more

    If you change the sign of a point’s y-coordinate, the point will cross over the x-axis.

    Explanation: Changing the sign of the y-coordinate means that if the original point is above the x-axis (positive y), it will move to the same distance below the x-axis (negative y), and vice versa. This movement occurs along the y-direction, hence crossing the x-axis.

    Feel free to ask more questions, or check the extended services page for further assistance!

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  7. To solve for ( f ) in the equation ( f = -2 + frac{4}{5}f - 3 ), follow these steps: 1. Combine like terms on the right side:[f = -2 - 3 + frac{4}{5}f][f = -5 + frac{4}{5}f] 2. Move ( frac{4}{5}f ) to the left side by subtracting it from both sides:[f - frac{4}{5}f = -5] 3. This simplifies to:[frac{Read more

    To solve for ( f ) in the equation ( f = -2 + frac{4}{5}f – 3 ), follow these steps:

    1. Combine like terms on the right side:

    [

    f = -2 – 3 + frac{4}{5}f

    ]

    [

    f = -5 + frac{4}{5}f

    ]

    2. Move ( frac{4}{5}f ) to the left side by subtracting it from both sides:

    [

    f – frac{4}{5}f = -5

    ]

    3. This simplifies to:

    [

    frac{1}{5}f = -5

    ]

    4. To isolate ( f ), multiply both sides by 5:

    [

    f = -25

    ]

    So the solution is:

    [

    f = -25

    ]

    If you have more questions or need additional explanations, feel free to ask!

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  8. It seems that I need more information to solve for ( s ). Please provide the equation or context in which to find ( s ). Checking the extended services page might provide more in-depth help!

    It seems that I need more information to solve for ( s ). Please provide the equation or context in which to find ( s ). Checking the extended services page might provide more in-depth help!

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  9. To solve for ( k ) in the equation:[frac{5k}{3} - 3 = -frac{1}{3} + 2k]First, let's eliminate the fractions by multiplying the entire equation by 3:[3 left( frac{5k}{3} right) - 3 cdot 3 = 3 left( -frac{1}{3} right) + 3 cdot 2k]This simplifies to:[5k - 9 = -1 + 6k]Next, let's isolate ( k ). We can rRead more

    To solve for ( k ) in the equation:

    [

    frac{5k}{3} – 3 = -frac{1}{3} + 2k

    ]

    First, let’s eliminate the fractions by multiplying the entire equation by 3:

    [

    3 left( frac{5k}{3} right) – 3 cdot 3 = 3 left( -frac{1}{3} right) + 3 cdot 2k

    ]

    This simplifies to:

    [

    5k – 9 = -1 + 6k

    ]

    Next, let’s isolate ( k ). We can rearrange the terms by subtracting ( 5k ) from both sides:

    [

    -9 = -1 + 6k – 5k

    ]

    This simplifies to:

    [

    -9 = -1 + k

    ]

    Now, add 1 to both sides:

    [

    -9 + 1 = k

    ]

    This results in:

    [

    k = -8

    ]

    So, the solution is:

    [

    k = -8

    ]

    Feel free to reach out if you have more questions or need further help!

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  10. To solve for ( b ) in the equation:[frac{1}{4} + 1 = -frac{1}{2}b + 3]First, simplify the left side:[frac{1}{4} + 1 = frac{1}{4} + frac{4}{4} = frac{5}{4}]Now, the equation becomes:[frac{5}{4} = -frac{1}{2}b + 3]Next, subtract 3 from both sides. To do this, express 3 with a denominator of 4:[3 = fraRead more

    To solve for ( b ) in the equation:

    [

    frac{1}{4} + 1 = -frac{1}{2}b + 3

    ]

    First, simplify the left side:

    [

    frac{1}{4} + 1 = frac{1}{4} + frac{4}{4} = frac{5}{4}

    ]

    Now, the equation becomes:

    [

    frac{5}{4} = -frac{1}{2}b + 3

    ]

    Next, subtract 3 from both sides. To do this, express 3 with a denominator of 4:

    [

    3 = frac{12}{4}

    ]

    So:

    [

    frac{5}{4} – frac{12}{4} = -frac{1}{2}b

    ]

    This simplifies to:

    [

    -frac{7}{4} = -frac{1}{2}b

    ]

    Now, multiply both sides by -1 to eliminate the negative sign:

    [

    frac{7}{4} = frac{1}{2}b

    ]

    Next, to isolate ( b ), multiply both sides by 2:

    [

    b = 2 cdot frac{7}{4} = frac{14}{4} = frac{7}{2}

    ]

    Thus, the solution is:

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  11. To solve for ( q ) in the equation ( 3 - q = frac{3}{4} + frac{3}{2} q ), let's follow these steps: 1. First, rearrange the equation to isolate ( q ). Start by getting all the terms with ( q ) on one side:[3 - frac{3}{4} = q + frac{3}{2}q] 2. Calculate ( 3 - frac{3}{4} ):Convert 3 to have a denominaRead more

    To solve for ( q ) in the equation ( 3 – q = frac{3}{4} + frac{3}{2} q ), let’s follow these steps:

    1. First, rearrange the equation to isolate ( q ). Start by getting all the terms with ( q ) on one side:

    [

    3 – frac{3}{4} = q + frac{3}{2}q

    ]

    2. Calculate ( 3 – frac{3}{4} ):

    Convert 3 to have a denominator of 4:

    [

    3 = frac{12}{4}

    ]

    Thus,

    [

    frac{12}{4} – frac{3}{4} = frac{9}{4}

    ]

    3. Now, combine the ( q ) terms on the right:

    [

    q + frac{3}{2}q = frac{2}{2}q + frac{3}{2}q = frac{5}{2}q

    ]

    4. Now, we have the equation:

    [

    frac{9}{4} = frac{5}{2}q

    ]

    5. To solve for ( q ), multiply both sides by the reciprocal of ( frac{5}{2} ), which is ( frac{

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  12. To solve for ( m ) in the equation[frac{4}{3} m = -m + frac{5}{3} m + 3,]let’s first combine the terms on the right side of the equation. You can rewrite (-m) as (-frac{3}{3} m) so they have a common denominator:[frac{4}{3} m = -frac{3}{3} m + frac{5}{3} m + 3.]Now simplify the right side:[frac{4}{3Read more

    To solve for ( m ) in the equation

    [

    frac{4}{3} m = -m + frac{5}{3} m + 3,

    ]

    let’s first combine the terms on the right side of the equation. You can rewrite (-m) as (-frac{3}{3} m) so they have a common denominator:

    [

    frac{4}{3} m = -frac{3}{3} m + frac{5}{3} m + 3.
    ]

    Now simplify the right side:

    [

    frac{4}{3} m = left(-frac{3}{3} m + frac{5}{3} mright) + 3 = frac{2}{3} m + 3.
    ]

    Next, subtract (frac{2}{3} m) from both sides:

    [

    frac{4}{3} m – frac{2}{3} m = 3.
    ]

    This simplifies to:

    [

    frac{2}{3} m = 3.
    ]

    To isolate ( m ), multiply both sides by (frac{3}{2}):

    [

    m = 3 times frac{3}{2} = frac{9}{2}.

    ]

    Thus, the solution is

    [

    m = frac{9}{2}.

    ]

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  13. To solve the equation ( frac{1}{2} + 8 = 3 - frac{1}{3} v ), follow these steps: 1. Combine like terms on the left side:[frac{1}{2} + 8 = frac{1}{2} + frac{16}{2} = frac{17}{2}]So, the equation becomes:[frac{17}{2} = 3 - frac{1}{3} v] 2. Isolate the term with ( v ) on one side. First, subtract 3 froRead more

    To solve the equation ( frac{1}{2} + 8 = 3 – frac{1}{3} v ), follow these steps:

    1. Combine like terms on the left side:

    [

    frac{1}{2} + 8 = frac{1}{2} + frac{16}{2} = frac{17}{2}

    ]

    So, the equation becomes:

    [

    frac{17}{2} = 3 – frac{1}{3} v

    ]

    2. Isolate the term with ( v ) on one side. First, subtract 3 from both sides:

    [

    frac{17}{2} – 3 = -frac{1}{3} v

    ]

    Convert 3 to a fraction with a denominator of 2:

    [

    3 = frac{6}{2} Rightarrow frac{17}{2} – frac{6}{2} = frac{11}{2}

    ]

    So, now we have:

    [

    frac{11}{2} = -frac{1}{3} v

    ]

    3. Multiply both sides by ( -3 ) to solve for ( v ):

    [

    v = -3 times frac{11}{2} =

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  14. To solve for ( k ) in the equation[frac{5k}{3} - 3 = frac{1}{3} + 2k,]let's follow these steps: 1. Eliminate Fractions: Multiply the entire equation by 3 to clear the denominators:[3 left( frac{5k}{3} right) - 3 cdot 3 = 3 left( frac{1}{3} + 2k right)]This simplifies to:[5k - 9 = 1 + 6k] 2. RearrangRead more

    To solve for ( k ) in the equation

    [

    frac{5k}{3} – 3 = frac{1}{3} + 2k,

    ]

    let’s follow these steps:

    1. Eliminate Fractions: Multiply the entire equation by 3 to clear the denominators:

    [

    3 left( frac{5k}{3} right) – 3 cdot 3 = 3 left( frac{1}{3} + 2k right)

    ]

    This simplifies to:

    [

    5k – 9 = 1 + 6k

    ]

    2. Rearrange the Equation: Move all terms involving ( k ) to one side and constant terms to the other side:

    [

    5k – 6k = 1 + 9

    ]

    This simplifies to:

    [

    -k = 10

    ]

    3. Solve for ( k ): Multiply both sides by -1:

    [

    k = -10

    ]

    Thus, the solution is

    [

    k = -10.
    ]

    Feel free to ask if you have more questions or if you need further explanations!

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  15. To solve for ( f ) in the equation ( 2 - frac{1}{4} = f - frac{3}{4} + 3 ), follow these steps: 1. Simplify the left side:( 2 - frac{1}{4} = frac{8}{4} - frac{1}{4} = frac{7}{4} ). 2. Rewrite the equation:( frac{7}{4} = f - frac{3}{4} + 3 ). 3. Combine 3 on the right side:Convert 3 to quarters: ( 3Read more

    To solve for ( f ) in the equation ( 2 – frac{1}{4} = f – frac{3}{4} + 3 ), follow these steps:

    1. Simplify the left side:

    ( 2 – frac{1}{4} = frac{8}{4} – frac{1}{4} = frac{7}{4} ).

    2. Rewrite the equation:

    ( frac{7}{4} = f – frac{3}{4} + 3 ).

    3. Combine 3 on the right side:

    Convert 3 to quarters: ( 3 = frac{12}{4} ).

    Now the equation is:

    ( frac{7}{4} = f – frac{3}{4} + frac{12}{4} ).

    4. Combine ( -frac{3}{4} ) and ( frac{12}{4} ):

    ( -frac{3}{4} + frac{12}{4} = frac{9}{4} ).

    So now we have:

    ( frac{7}{4} = f + frac{9}{4} ).

    5. Isolate ( f ):

    Subtract ( frac{9}{4} ) from both sides:

    ( f =

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  16. To solve for ( z ) in the equation ( frac{2}{3} = 2 + frac{3}{2} - frac{1}{2} ), we first simplify the right side: 1. Combine ( frac{3}{2} ) and ( -frac{1}{2} ):[frac{3}{2} - frac{1}{2} = frac{2}{2} = 1] 2. Add ( 2 + 1 ):[2 + 1 = 3]So, the equation simplifies to:[frac{2}{3} = 3]This is not correct aRead more

    To solve for ( z ) in the equation ( frac{2}{3} = 2 + frac{3}{2} – frac{1}{2} ), we first simplify the right side:

    1. Combine ( frac{3}{2} ) and ( -frac{1}{2} ):

    [

    frac{3}{2} – frac{1}{2} = frac{2}{2} = 1

    ]

    2. Add ( 2 + 1 ):

    [

    2 + 1 = 3

    ]

    So, the equation simplifies to:

    [

    frac{2}{3} = 3

    ]

    This is not correct as ( frac{2}{3} neq 3 ). This indicates there may be a misunderstanding, or that no solution exists for the variable ( z ) based on this equation.

    If you have additional context or a different equation to solve for ( z ), please provide it!

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  17. To solve for ( p ) in the equation ( p = ), we need additional information or values on the right side of the equation. It appears that the equation is incomplete. Please provide the full equation or the value of ( p ) you want to solve for, and I'll be happy to assist you!

    To solve for ( p ) in the equation ( p = ), we need additional information or values on the right side of the equation. It appears that the equation is incomplete. Please provide the full equation or the value of ( p ) you want to solve for, and I’ll be happy to assist you!

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  18. To solve for t in the equation ( frac{t + 7.9}{4} = 4.32 ), follow these steps: 1. Multiply both sides by 4 to eliminate the fraction:[t + 7.9 = 4.32 times 4][t + 7.9 = 17.28] 2. Subtract 7.9 from both sides to isolate t:[t = 17.28 - 7.9][t = 9.38]So, ( t = 9.38 ).If you have any more questions or nRead more

    To solve for t in the equation ( frac{t + 7.9}{4} = 4.32 ), follow these steps:

    1. Multiply both sides by 4 to eliminate the fraction:

    [

    t + 7.9 = 4.32 times 4

    ]

    [

    t + 7.9 = 17.28

    ]

    2. Subtract 7.9 from both sides to isolate t:

    [

    t = 17.28 – 7.9

    ]

    [

    t = 9.38

    ]

    So, ( t = 9.38 ).

    If you have any more questions or need further help, feel free to ask!

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  19. To solve for ( z ) in the equation:[frac{2}{3} = 2 + frac{3}{2} z - frac{1}{2}]First, simplify the right side of the equation: 1. Combine the constant terms ( 2 ) and ( -frac{1}{2} ):[2 - frac{1}{2} = frac{4}{2} - frac{1}{2} = frac{3}{2}]So the equation becomes:[frac{2}{3} = frac{3}{2} + frac{3}{2}Read more

    To solve for ( z ) in the equation:

    [

    frac{2}{3} = 2 + frac{3}{2} z – frac{1}{2}

    ]

    First, simplify the right side of the equation:

    1. Combine the constant terms ( 2 ) and ( -frac{1}{2} ):

    [

    2 – frac{1}{2} = frac{4}{2} – frac{1}{2} = frac{3}{2}

    ]

    So the equation becomes:

    [

    frac{2}{3} = frac{3}{2} + frac{3}{2} z

    ]

    2. Now, isolate the term with ( z ). Subtract ( frac{3}{2} ) from both sides:

    [

    frac{2}{3} – frac{3}{2} = frac{3}{2} z

    ]

    3. To combine the fractions on the left, find a common denominator (which is 6):

    [

    frac{2}{3} = frac{4}{6}, quad frac{3}{2} = frac{9}{6}

    ]

    So,

    [

    frac{4}{6} – frac{9}{6} = frac{-

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  20. To solve the equation (-frac{3}{8}p + frac{1}{2} + frac{5}{4}p = -frac{1}{2}p - 2 + frac{7}{8}p), follow these steps: 1. Combine like terms: On both sides, combine all the terms involving (p) and the constant terms separately.On the left side:- Convert (frac{5}{4}p) to eighths: (frac{5}{4}p = frac{1Read more

    To solve the equation (-frac{3}{8}p + frac{1}{2} + frac{5}{4}p = -frac{1}{2}p – 2 + frac{7}{8}p), follow these steps:

    1. Combine like terms: On both sides, combine all the terms involving (p) and the constant terms separately.

    On the left side:

    – Convert (frac{5}{4}p) to eighths: (frac{5}{4}p = frac{10}{8}p)

    – So, (-frac{3}{8}p + frac{10}{8}p = frac{7}{8}p)

    The left side becomes:

    [

    frac{7}{8}p + frac{1}{2}

    ]

    On the right side:

    – Convert (-frac{1}{2}p) to eighths: (-frac{1}{2}p = -frac{4}{8}p)

    – Combine the (p) terms: (-frac{4}{8}p + frac{7}{8}p = frac{3}{8}p)

    The right side becomes:

    [

    frac{3}{8}p –

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  21. To solve for ( a ) in the equation ( frac{4}{5} - 8 = a + 2 ), follow these steps: 1. Isolate ( a ): Start by simplifying the left side of the equation.[frac{4}{5} - 8]To perform this subtraction, convert 8 into a fraction with a common denominator. Since 8 can be expressed as ( frac{40}{5} ):[frac{Read more

    To solve for ( a ) in the equation ( frac{4}{5} – 8 = a + 2 ), follow these steps:

    1. Isolate ( a ): Start by simplifying the left side of the equation.

    [

    frac{4}{5} – 8

    ]

    To perform this subtraction, convert 8 into a fraction with a common denominator. Since 8 can be expressed as ( frac{40}{5} ):

    [

    frac{4}{5} – frac{40}{5} = frac{4 – 40}{5} = frac{-36}{5}

    ]

    2. Set up the equation: Now substitute back into the equation:

    [

    frac{-36}{5} = a + 2

    ]

    3. Isolate ( a ): To solve for ( a ), subtract 2 from both sides. First, convert 2 into a fraction:

    [

    2 = frac{10}{5}

    ]

    Thus, we have:

    [

    a = frac{-36}{5} – frac{10}{5} = frac{-36 – 10}{5} = frac{-46}{5}

    ]

    So, ( a = frac{-46}{5} ).

    In decimal form, this would

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  22. To solve the equation (-3 + frac{7}{10}w - frac{2}{10}w = -2w), follow these steps: 1. Combine like terms on the left side:[-3 + left(frac{7}{10}w - frac{2}{10}wright) = -2w]This simplifies to:[-3 + frac{5}{10}w = -2w]or[-3 + frac{1}{2}w = -2w] 2. Isolate the terms with ( w ). To do this, add ( 2w )Read more

    To solve the equation (-3 + frac{7}{10}w – frac{2}{10}w = -2w), follow these steps:

    1. Combine like terms on the left side:

    [

    -3 + left(frac{7}{10}w – frac{2}{10}wright) = -2w

    ]

    This simplifies to:

    [

    -3 + frac{5}{10}w = -2w

    ]

    or

    [

    -3 + frac{1}{2}w = -2w

    ]

    2. Isolate the terms with ( w ). To do this, add ( 2w ) to both sides:

    [

    -3 + frac{1}{2}w + 2w = 0

    ]

    Convert ( 2w ) to a fraction with a common denominator:

    [

    -3 + frac{1}{2}w + frac{4}{2}w = 0

    ]

    This simplifies to:

    [

    -3 + frac{5}{2}w = 0

    ]

    3. Add 3 to both sides:

    [

    frac{5}{2}w = 3

    ]

    4. **Multiply

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  23. To solve for ( m ) in the equation:[-4.21 = frac{m}{3} + 7.8]follow these steps: 1. Isolate the term with ( m ): Start by subtracting ( 7.8 ) from both sides.[-4.21 - 7.8 = frac{m}{3}]This simplifies to:[-12.01 = frac{m}{3}] 2. Get rid of the fraction: Multiply both sides by ( 3 ) to solve for ( m )Read more

    To solve for ( m ) in the equation:

    [

    -4.21 = frac{m}{3} + 7.8

    ]

    follow these steps:

    1. Isolate the term with ( m ): Start by subtracting ( 7.8 ) from both sides.

    [

    -4.21 – 7.8 = frac{m}{3}

    ]

    This simplifies to:

    [

    -12.01 = frac{m}{3}

    ]

    2. Get rid of the fraction: Multiply both sides by ( 3 ) to solve for ( m ).

    [

    m = -12.01 times 3

    ]

    Calculating this gives:

    [

    m = -36.03

    ]

    So, the solution is:

    [

    m = -36.03

    ]

    Let me know if you have any more questions!

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  24. To solve the equation (-4.21 = frac{m}{3} - 7.8), follow these steps: 1. Isolate the term with m: Add (7.8) to both sides of the equation:[-4.21 + 7.8 = frac{m}{3}][ 3.59 = frac{m}{3}] 2. Eliminate the fraction: Multiply both sides by (3) to solve for (m):[m = 3 times 3.59][m = 10.77]So, the solutioRead more

    To solve the equation (-4.21 = frac{m}{3} – 7.8), follow these steps:

    1. Isolate the term with m: Add (7.8) to both sides of the equation:

    [

    -4.21 + 7.8 = frac{m}{3}

    ]

    [

    3.59 = frac{m}{3}

    ]

    2. Eliminate the fraction: Multiply both sides by (3) to solve for (m):

    [

    m = 3 times 3.59

    ]

    [

    m = 10.77

    ]

    So, the solution is:

    [

    m = 10.77

    ]

    Feel free to ask if you have more questions!

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  25. To solve the equation ( frac{2}{5} n + 3 - frac{7}{10} n = frac{3}{5} - 3n ), we will follow these steps: 1. Combine like terms: Start by bringing all the terms involving ( n ) to one side and the constant terms to the other side.Let's convert ( frac{7}{10} n ) to have a common denominator with ( frRead more

    To solve the equation ( frac{2}{5} n + 3 – frac{7}{10} n = frac{3}{5} – 3n ), we will follow these steps:

    1. Combine like terms: Start by bringing all the terms involving ( n ) to one side and the constant terms to the other side.

    Let’s convert ( frac{7}{10} n ) to have a common denominator with ( frac{2}{5} n ). Since ( frac{2}{5} = frac{4}{10} ), we can rewrite the equation:

    [

    frac{2}{5} n – frac{7}{10} n + 3 = frac{3}{5} – 3n

    ]

    This can be rewritten as:

    [

    frac{4}{10} n – frac{7}{10} n + 3 = frac{3}{5} – 3n

    ]

    Combine ( n ) terms:

    [

    -frac{3}{10} n + 3 = frac{3}{5} – 3n

    ]

    2. Isolate ( n ): We’ll move ( -3n ) to the left side and ( 3 ) to the right side:

    [

    -frac

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  26. The correct answer is: skewed, is not.Explanation: When a distribution is described as "skewed," it means that the data are not evenly distributed around the mean; instead, they lean towards one side. This also implies that the mean and median might not be very close, indicating that the mean absoluRead more

    The correct answer is: skewed, is not.

    Explanation: When a distribution is described as “skewed,” it means that the data are not evenly distributed around the mean; instead, they lean towards one side. This also implies that the mean and median might not be very close, indicating that the mean absolute deviation (MAD) may not effectively capture the variation in the data, making it a less reliable measure for skewed distributions.

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  27. The correct answer is: 3. skewed, median, mean.Explanation: If the distribution of backpack sizes is skewed, it suggests that the sizes are not evenly distributed and may have a longer tail on one side. In such cases, the median is a better measure of central tendency because it is less affected byRead more

    The correct answer is: 3. skewed, median, mean.

    Explanation: If the distribution of backpack sizes is skewed, it suggests that the sizes are not evenly distributed and may have a longer tail on one side. In such cases, the median is a better measure of central tendency because it is less affected by extreme values compared to the mean. Therefore, while the median provides a more accurate reflection of the typical size, the mean could be misleading due to skewness.

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  28. The distribution of movie ratings is often skewed, meaning it doesn't follow a normal distribution. In this case, the interquartile range (IQR) is a more appropriate measure of variation than the standard deviation.The IQR measures the range between the first quartile (25th percentile) and the thirdRead more

    The distribution of movie ratings is often skewed, meaning it doesn’t follow a normal distribution. In this case, the interquartile range (IQR) is a more appropriate measure of variation than the standard deviation.

    The IQR measures the range between the first quartile (25th percentile) and the third quartile (75th percentile), which helps to understand the spread of the middle 50% of the data, making it less sensitive to outliers. The standard deviation, on the other hand, considers all data points and can be significantly affected by extreme ratings.

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  29. The correct answer is: 4. skewed; is.Explanation: If the distribution of pH levels is skewed, it means that it does not follow a symmetrical pattern and may have a long tail on one side. In cases of skewed distributions, the mean can still be an appropriate measure of center, but it may not fully reRead more

    The correct answer is: 4. skewed; is.

    Explanation: If the distribution of pH levels is skewed, it means that it does not follow a symmetrical pattern and may have a long tail on one side. In cases of skewed distributions, the mean can still be an appropriate measure of center, but it may not fully represent the typical pH level since it can be influenced by extreme values. In this context, it suggests that the mean is relevant despite the skewness.

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  30. The correct answer is 3. skewed; is.Explanation: If the pH levels of the water samples are not evenly distributed and tend to cluster towards one end of the scale, they can be described as "skewed." In such cases, the mean is considered an appropriate measure of center because it takes into accountRead more

    The correct answer is 3. skewed; is.

    Explanation: If the pH levels of the water samples are not evenly distributed and tend to cluster towards one end of the scale, they can be described as “skewed.” In such cases, the mean is considered an appropriate measure of center because it takes into account all values in the dataset. If the distribution were symmetrical, other measures like the median might be more appropriate, but skewed distributions allow for the mean to provide a useful summary of the data.

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  31. The correct answer is 1. approximately symmetric; mean and median.Explanation:When a distribution is approximately symmetric, it means that the data values are evenly distributed around the center. In this case, both the mean (average) and the median (middle value) are appropriate measures of centerRead more

    The correct answer is 1. approximately symmetric; mean and median.

    Explanation:

    When a distribution is approximately symmetric, it means that the data values are evenly distributed around the center. In this case, both the mean (average) and the median (middle value) are appropriate measures of center because they will be similar and provide a good representation of the central tendency of the data. If you have more questions or need further assistance, feel free to ask!

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  32. C) environmental specialist.An environmental specialist often works outdoors in various settings, such as field studies, conservation projects, or community outreach. This career allows for hands-on science and interaction with natural environments, making it a great fit for someone who enjoys scienRead more

    C) environmental specialist.

    An environmental specialist often works outdoors in various settings, such as field studies, conservation projects, or community outreach. This career allows for hands-on science and interaction with natural environments, making it a great fit for someone who enjoys science but prefers not to be confined to an office or laboratory.

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  33. The correct statements about a career as a materials scientist are:B - People with this occupation use sophisticated laboratory instruments.E - People with this occupation develop new products or improve existing ones.Explanation: Materials scientists primarily work in laboratories where they analyzRead more

    The correct statements about a career as a materials scientist are:

    B – People with this occupation use sophisticated laboratory instruments.

    E – People with this occupation develop new products or improve existing ones.

    Explanation: Materials scientists primarily work in laboratories where they analyze and develop materials using advanced technology and instruments. They focus on creating new materials or enhancing the properties of existing ones to meet specific needs, which is a fundamental part of their role.

    If you have more questions or need further clarification, feel free to ask!

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  34. The correct answer is A) weekend he dog-sits for his uncle.This choice likely highlights the primary focus of the story, which revolves around Matt's experiences and responsibilities while taking care of dogs during the weekend. The context of dog-sitting suggests themes of care, adventure, or persoRead more

    The correct answer is A) weekend he dog-sits for his uncle.

    This choice likely highlights the primary focus of the story, which revolves around Matt’s experiences and responsibilities while taking care of dogs during the weekend. The context of dog-sitting suggests themes of care, adventure, or personal growth during this specific period. If you’d like to explore more about the story or other related questions, feel free to ask!

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  35. To determine how Matt feels based on the options provided, we need to analyze his emotions in the context of the situation regarding Skeena and Uncle Stan.The correct answer is A: He is worried that Skeena might not survive.Explanation: If the text shows that Matt is concerned or anxious about SkeenRead more

    To determine how Matt feels based on the options provided, we need to analyze his emotions in the context of the situation regarding Skeena and Uncle Stan.

    The correct answer is A: He is worried that Skeena might not survive.

    Explanation: If the text shows that Matt is concerned or anxious about Skeena’s well-being, it indicates that his primary emotion in that moment is worry. The other options imply anger, fear of Uncle Stan, or sadness about trust, but the most direct emotion related to Skeena’s situation is worry regarding her survival.

    If you need more detailed support or analysis, consider checking the extended services page!

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  36. The correct answer is C: He sees Skeena's broken chain on the ground.This answer fits the context, as it suggests that something might be wrong with Skeena, prompting further investigation by Matt. It implies the beginning of an issue that could develop into a significant event. If you have more queRead more

    The correct answer is C: He sees Skeena’s broken chain on the ground.

    This answer fits the context, as it suggests that something might be wrong with Skeena, prompting further investigation by Matt. It implies the beginning of an issue that could develop into a significant event. If you have more questions or need further assistance, feel free to ask!

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  37. The correct answer is C: He sees Skeena's broken chain on the ground.Explanation: In the context of the situation, Matt's glance towards Skeena's house reveals the immediate issue with Skeena, which is her broken chain, indicating something might have gone wrong. This moment is critical because it pRead more

    The correct answer is C: He sees Skeena’s broken chain on the ground.

    Explanation: In the context of the situation, Matt’s glance towards Skeena’s house reveals the immediate issue with Skeena, which is her broken chain, indicating something might have gone wrong. This moment is critical because it prompts concern for Skeena’s safety. If you have further questions about this scene or want more details, feel free to ask!

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  38. The correct answer is C: He sees Skeena's broken chain on the ground.In this scenario, Matt's quick look at Skeena's house reveals something concerning about Skeena—the broken chain indicates that something may have gone wrong. This situation likely prompts Matt to investigate further. Such detailsRead more

    The correct answer is C: He sees Skeena’s broken chain on the ground.

    In this scenario, Matt’s quick look at Skeena’s house reveals something concerning about Skeena—the broken chain indicates that something may have gone wrong. This situation likely prompts Matt to investigate further. Such details often foreshadow the potential need for action, emphasizing the importance of awareness in stressful situations. If you have more questions or need further clarification, feel free to ask!

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  39. The correct answer is C: He sees Skeena's broken chain on the ground.In the context of the narrative, while Matt is feeding Kyuk, the moment he glances at Skeena's house reveals a critical detail about Skeena's situation. The broken chain indicates that something is wrong and sets the stage for theRead more

    The correct answer is C: He sees Skeena’s broken chain on the ground.

    In the context of the narrative, while Matt is feeding Kyuk, the moment he glances at Skeena’s house reveals a critical detail about Skeena’s situation. The broken chain indicates that something is wrong and sets the stage for the unfolding events, emphasizing the urgency of the situation.

    If you have more questions or need further assistance, feel free to ask!

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  40. The correct answer is C: He sees Skeena's broken chain on the ground.Explanation: When Matt looks at Skeena's house, the sight of the broken chain is crucial as it suggests a possible issue, such as Skeena being able to escape or being in danger. This observation likely prompts concern, leading MattRead more

    The correct answer is C: He sees Skeena’s broken chain on the ground.

    Explanation: When Matt looks at Skeena’s house, the sight of the broken chain is crucial as it suggests a possible issue, such as Skeena being able to escape or being in danger. This observation likely prompts concern, leading Matt to assess the situation more closely, indicating the narrative’s tension and urgency. If you have more questions or need further help, feel free to ask!

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  41. The correct answer is A) It is made up but it could happen in real life.Explanation: This sentence describes a realistic fiction story, where the plot and characters are fictional, but the events and situations are plausible and could occur in reality.

    The correct answer is A) It is made up but it could happen in real life.

    Explanation: This sentence describes a realistic fiction story, where the plot and characters are fictional, but the events and situations are plausible and could occur in reality.

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  42. To accurately determine which sentence describes the type of story you have in mind, I would need more context about the story itself. However, I can offer some guidance based on what you might be looking for:- If the story features realistic events and settings that could occur in real life, the anRead more

    To accurately determine which sentence describes the type of story you have in mind, I would need more context about the story itself. However, I can offer some guidance based on what you might be looking for:

    – If the story features realistic events and settings that could occur in real life, the answer would be A. It is made up but could happen in real life.

    – If it involves fictional characters and elements typical of a mystery, then B. It is about make-believe people who have a mystery to solve. might be correct.

    – If the story presents impossible scenarios and fantastical elements, then C. It is make-believe because the events could not happen. would make sense.

    – If the story is based on true events, you should choose D. It is a true story about what happened to a real boy.

    Once you know the nature of the story, you can select the sentence that best fits. If you want to share more about the story, I can help narrow it down further!

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  43. The correct answer is B) Rudy acts like she will attack Skeena and E) Skeena growls at Rudy and wants to fight her.Explanation: These details demonstrate the aggression and tension between Rudy and Skeena, indicating that choosing Rudy would not be suitable for Matt. The conflict between the two dogRead more

    The correct answer is B) Rudy acts like she will attack Skeena and E) Skeena growls at Rudy and wants to fight her.

    Explanation: These details demonstrate the aggression and tension between Rudy and Skeena, indicating that choosing Rudy would not be suitable for Matt. The conflict between the two dogs suggests that their relationship would be problematic for the team, making Skeena the better choice for lead dog.

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  44. The correct answer is C: Brain development is a complex process in infants and young children.Explanation: This option captures the overarching theme of how young children's cognitive growth and memory formation are influenced by their brain development, which often involves various stages and complRead more

    The correct answer is C: Brain development is a complex process in infants and young children.

    Explanation: This option captures the overarching theme of how young children’s cognitive growth and memory formation are influenced by their brain development, which often involves various stages and complexities. The other options are more specific and do not encompass the central idea as broadly as option C does. If you have any other questions, feel free to ask!

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  45. The correct answer is A) Young children must first develop the ability to create memories.Explanation: Childhood amnesia refers to the phenomenon where individuals are unable to recall events from early childhood, typically before the age of 3 or 4. This is primarily because young children have notRead more

    The correct answer is A) Young children must first develop the ability to create memories.

    Explanation: Childhood amnesia refers to the phenomenon where individuals are unable to recall events from early childhood, typically before the age of 3 or 4. This is primarily because young children have not yet developed the cognitive structures and abilities required to form and store long-term memories effectively. Unlike adult amnesia, which is often triggered by illness or injury to specific areas of the brain responsible for memory, childhood amnesia is a normal part of development as memory systems mature over time.

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  46. The correct answer is B: young children have a functional memory system.Explanation: The account of Emily's "crib-talk" suggests that even very young children, such as infants, can recall and communicate memories, indicating that their memory system is functional and capable of storing experiences.Read more

    The correct answer is B: young children have a functional memory system.

    Explanation: The account of Emily’s “crib-talk” suggests that even very young children, such as infants, can recall and communicate memories, indicating that their memory system is functional and capable of storing experiences. This shows that memory development begins early in childhood. If you have more questions or need further assistance, feel free to ask!

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  47. The correct answer is C personal narratives.Personal narratives are stories that individuals tell about their own experiences. The author suggests that as children learn to tell their own stories, they are developing memories and understanding their experiences better, which aligns with the nature oRead more

    The correct answer is C personal narratives.

    Personal narratives are stories that individuals tell about their own experiences. The author suggests that as children learn to tell their own stories, they are developing memories and understanding their experiences better, which aligns with the nature of personal narratives. If you have any more questions or need further clarification, feel free to ask!

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  48. The correct answer is C personal narratives.Explanation: Personal narratives are stories that individuals tell about their own experiences. They help children to reflect on their lives and develop memory by sharing their unique perspectives and emotions. This storytelling process is crucial for memoRead more

    The correct answer is C personal narratives.

    Explanation: Personal narratives are stories that individuals tell about their own experiences. They help children to reflect on their lives and develop memory by sharing their unique perspectives and emotions. This storytelling process is crucial for memory development because it encourages children to connect with their feelings and articulate their thoughts.

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  49. The correct answer is B concept of themselves as separate from others.The "mirror test" is designed to assess self-awareness in children (and some animals) by determining whether they can recognize themselves in a mirror. If a child shows recognition, it indicates that they understand they are a disRead more

    The correct answer is B concept of themselves as separate from others.

    The “mirror test” is designed to assess self-awareness in children (and some animals) by determining whether they can recognize themselves in a mirror. If a child shows recognition, it indicates that they understand they are a distinct entity, separate from others, which is a fundamental aspect of self-concept and identity development.

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  50. The correct answer is B concept of themselves as separate from others.The "mirror test" is designed to assess self-awareness in animals and humans. When a child recognizes themselves in a mirror, it demonstrates their understanding that they are an individual, separate from others. This self-recogniRead more

    The correct answer is B concept of themselves as separate from others.

    The “mirror test” is designed to assess self-awareness in animals and humans. When a child recognizes themselves in a mirror, it demonstrates their understanding that they are an individual, separate from others. This self-recognition indicates a level of cognitive development related to identity and self-perception. If you have more questions or need further assistance, feel free to ask!

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