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Zane measured a house and made a scale drawing. He used the scale $9$ millimeters $= 1$ meter. What is the drawing's scale factor? 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

\newline

(C)

8

8

inches

\newline

(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

\newline

(C)

17

centimeters

\newline

(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)

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

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Posted 7 months ago

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

28

students in a

756

square foot area. Assuming that each student has a spot

x

feet wide and

3

times as long, what is the length, in feet, of the space they are allotting to each student?

\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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Zane measured a house and made a scale drawing. He used the scale 999 millimeters =1= 1=1 meter. What is the drawing's scale factor? Simplify your answer and write it as a fraction.

Zane measured a house and made a scale drawing. He used the scale $9$ millimeters $= 1$ meter. What is the drawing's scale factor? Simplify your answer and write it as a fraction.