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Jonah measured a summer camp and made a scale drawing. In real life, the sand volleyball court is $8$ meters wide. It is $2$ centimeters wide in the drawing. What is the scale factor of the drawing? Simplify your answer and write it as a fraction.

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Grade 7

Scale drawings: scale factor word problems

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More problems from Scale drawings: scale factor word problems

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A factory designs cylindrical cans

10 \mathrm{~cm}

in height to hold exactly

500 \mathrm{~cm}^{3}

of liquid. Which of the following best approximates the radius of these cans?

\newline

Choose

1

answer:

\newline

(A)

4 \mathrm{~cm}

\newline

(B)

8 \mathrm{~cm}

\newline

(C)

12.5 \mathrm{~cm}

\newline

(D)

15.9 \mathrm{~cm}

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Posted 5 months ago

Question

A die is created by smoothing the corners of a plastic cube and carving indented pips. The original cube had an edge length of

2

centimeters

(\mathrm{cm})

. The volume of the final die is

7.5 \mathrm{~cm}^{3}

. What is the volume of the waste generated by creating the die from the cube in

\mathrm{cm}^{3}

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Posted 2 months ago

Question

We want to find the intersection points of the graphs given by the following system of equations:

\newline

\left\{\begin{array}{l} y=2 x-1 \\ x^{2}+y^{2}=1 \end{array}\right.

\newline

One of the intersection points is

(0,-1)

\newline

Find the other intersection point. Your answer must be exact.

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Posted 6 months ago

Question

A(x)=(8+2 x)^{2}

\newline

Carmen wants to add a border around a square picture. The function shows the area of the picture in square inches if it has a border

x

inches wide. What are the dimensions of the picture without the border?

\newline

Choose

1

answer:

\newline

(A)

2

2

inches

\newline

(B)

6

6

inches

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(C)

8

8

inches

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(D)

10

10

inches

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Posted 8 months ago

Question

s=-11.8(t-1.2)^{2}+17

\newline

The equation models the horizontal distance,

s

, in centimeters, of a particular image on a computer screen from the left-hand edge of the screen,

t

seconds after appearing. If the image moves in from the left-hand edge of the screen during an on-screen animation, how far to the right does the image travel?

\newline

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1

answer:

\newline

(A)

1

2

centimeters

\newline

(B)

5

2

centimeters

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(C)

17

centimeters

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(D)

34

centimeters

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Posted 8 months ago

Question

A soap company changes the design of its soap from a cone to a sphere. The cone had a height of

3

centimeters

(\mathrm{cm})

and a radius of

2 \mathrm{~cm}

. The sphere has a diameter of

3 \mathrm{~cm}

. The new design contains

\frac{\pi}{f}

cubic centimeters more soap than the old design. What is the value of

f

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Posted 5 months ago

Question

Mindy is a sculptor. She has a cylinder of stone with a radius of

3

meters

(\mathrm{m})

and a height of

2 \mathrm{~m}

. She needs to carve out a sphere of radius

1 \mathrm{~m}

from the cylinder. Mindy must cut away

\frac{v}{3} \pi

cubic meters

\left(\mathrm{m}^{3}\right)

of stone from the cylinder in order to be left with the sphere. What is the value of

v

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Posted 1 month ago

Question

A cylindrical soda can has a volume of

108 \pi

cubic centimeters

\left(\mathrm{cm}^{3}\right)

and a height of

12 \mathrm{~cm}

. What is the surface area of the soda can in square centimeters?

\newline

Choose

1

answer:

\newline

(A)

18 \pi \mathrm{cm}^{2}

\newline

(B)

36 \pi \mathrm{cm}^{2}

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(C)

72 \pi \mathrm{cm}^{2}

\newline

(D)

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Question

Drake and

\mathrm{Cleo}

are looking for a location to open their new yoga studio. A fellow studio owner suggests a location that will fit

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\newline

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1

answer:

\newline

(A)

1

feet

\newline

(B)

3

feet

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(C)

9

feet

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(D)

27

feet

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Posted 5 months ago

Question

Morgan is designing a rectangular quilt. The quilt will be

1 \frac{3}{5} \mathrm{~m}

wide and will have an area of

6 \mathrm{~m}^{2}

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How long is the quilt?

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Posted 6 months ago

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Jonah measured a summer camp and made a scale drawing. In real life, the sand volleyball court is 888 meters wide. It is 222 centimeters wide in the drawing. What is the scale factor of the drawing? Simplify your answer and write it as a fraction.

Jonah measured a summer camp and made a scale drawing. In real life, the sand volleyball court is $8$ meters wide. It is $2$ centimeters wide in the drawing. What is the scale factor of the drawing? Simplify your answer and write it as a fraction.