Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Stacy made a scale drawing of a city. She used the scale 77 inches =1= 1 yard. What is the scale factor of the drawing?\newlineSimplify your answer and write it as a fraction.\newline__\_\_

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Scale drawings: scale factor word problemsright chevron icon

Full solution

Q. Stacy made a scale drawing of a city. She used the scale 77 inches =1= 1 yard. What is the scale factor of the drawing?\newlineSimplify your answer and write it as a fraction.\newline__\_\_
  1. Identify scale: Identify the scale given in the problem.\newlineScale given: 77 inches = 11 yard.\newlineCalculate the scale factor as a fraction of inches to yards.\newlineScale factor = (7 inches)/(1 yard)(7 \text{ inches}) / (1 \text{ yard})
  2. Calculate scale factor: Convert yards to inches to have a consistent unit.\newline11 yard = 3636 inches.\newlineNow, recalculate the scale factor using inches only.\newlineScale factor = (7(7 inches) / (3636 inches)
  3. Convert units: Simplify the fraction to find the scale factor.\newlineScale factor = 736\frac{7}{36}.\newlineThis cannot be simplified further, so the scale factor is 736\frac{7}{36}

More problems from Scale drawings: scale factor word problems

Question
A factory designs cylindrical cans 10 cm 10 \mathrm{~cm} in height to hold exactly 500 cm3 500 \mathrm{~cm}^{3} of liquid. Which of the following best approximates the radius of these cans?\newlineChoose 11 answer:\newline(A) 4 cm 4 \mathrm{~cm} \newline(B) 8 cm 8 \mathrm{~cm} \newline(C) 12.5 cm 12.5 \mathrm{~cm} \newline(D) 15.9 cm 15.9 \mathrm{~cm}
Get tutor helpright-arrow

Posted 7 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 22 centimeters (cm) (\mathrm{cm}) . The volume of the final die is 7.5 cm3 7.5 \mathrm{~cm}^{3} . What is the volume of the waste generated by creating the die from the cube in cm3 \mathrm{cm}^{3} ?
Get tutor helpright-arrow

Posted 4 months ago

Question
We want to find the intersection points of the graphs given by the following system of equations:\newline{y=2x−1x2+y2=1 \left\{\begin{array}{l} y=2 x-1 \\ x^{2}+y^{2}=1 \end{array}\right. \newlineOne of the intersection points is (0,−1) (0,-1) .\newlineFind the other intersection point. Your answer must be exact.
Get tutor helpright-arrow

Posted 8 months ago

Question
A(x)=(8+2x)2 A(x)=(8+2 x)^{2} \newlineCarmen 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 x inches wide. What are the dimensions of the picture without the border?\newlineChoose 11 answer:\newline(A) 22 by 22 inches\newline(B) 66 by 66 inches\newline(C) 88 by 88 inches\newline(D) 1010 by 1010 inches
Get tutor helpright-arrow

Posted 10 months ago

Question
s=−11.8(t−1.2)2+17 s=-11.8(t-1.2)^{2}+17 \newlineThe equation models the horizontal distance, s s , in centimeters, of a particular image on a computer screen from the left-hand edge of the screen, t 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?\newlineChoose 11 answer:\newline(A) 11.22 centimeters\newline(B) 55.22 centimeters\newline(C) 1717 centimeters\newline(D) 3434 centimeters
Get tutor helpright-arrow

Posted 10 months ago

Question
A soap company changes the design of its soap from a cone to a sphere. The cone had a height of 33 centimeters (cm) (\mathrm{cm}) and a radius of 2 cm 2 \mathrm{~cm} . The sphere has a diameter of 3 cm 3 \mathrm{~cm} . The new design contains πf \frac{\pi}{f} cubic centimeters more soap than the old design. What is the value of f f ?
Get tutor helpright-arrow

Posted 7 months ago

Question
Mindy is a sculptor. She has a cylinder of stone with a radius of 33 meters (m) (\mathrm{m}) and a height of 2 m 2 \mathrm{~m} . She needs to carve out a sphere of radius 1 m 1 \mathrm{~m} from the cylinder. Mindy must cut away v3π \frac{v}{3} \pi cubic meters (m3) \left(\mathrm{m}^{3}\right) of stone from the cylinder in order to be left with the sphere. What is the value of v v ?
Get tutor helpright-arrow

Posted 3 months ago

Question
A cylindrical soda can has a volume of 108π 108 \pi cubic centimeters (cm3) \left(\mathrm{cm}^{3}\right) and a height of 12 cm 12 \mathrm{~cm} . What is the surface area of the soda can in square centimeters?\newlineChoose 11 answer:\newline(A) 18πcm2 18 \pi \mathrm{cm}^{2} \newline(B) 36πcm2 36 \pi \mathrm{cm}^{2} \newline(C) 72πcm2 72 \pi \mathrm{cm}^{2} \newline(D) 90πcm2 90 \pi \mathrm{cm}^{2}
Get tutor helpright-arrow

Posted 8 months ago

Question
Drake and Cleo \mathrm{Cleo} are looking for a location to open their new yoga studio. A fellow studio owner suggests a location that will fit 2828 students in a 756756 square foot area. Assuming that each student has a spot x x feet wide and 33 times as long, what is the length, in feet, of the space they are allotting to each student?\newlineChoose 11 answer:\newline(A) 11 feet\newline(B) 33 feet\newline(C) 99 feet\newline(D) 2727 feet
Get tutor helpright-arrow

Posted 7 months ago

Question
Morgan is designing a rectangular quilt. The quilt will be 135 m 1 \frac{3}{5} \mathrm{~m} wide and will have an area of 6 m2 6 \mathrm{~m}^{2} .\newlineHow long is the quilt?\newlinem
Get tutor helpright-arrow

Posted 8 months ago

View all (22)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant