Answer: Actual distance = 37.5 miles
Step-by-step explanation:
<u>Let x be the actual distance</u>
<u>Given information</u>
Length on map = 7.5 inches
Scale = 1 inch : 5 miles
<u>Set up proportion</u>
![\frac{7.5}{x} =\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B7.5%7D%7Bx%7D%20%3D%5Cfrac%7B1%7D%7B5%7D)
<u>Cross multiply to convert out of fraction form</u>
![7.5*5=1*x](https://tex.z-dn.net/?f=7.5%2A5%3D1%2Ax)
![\boxed{x=37.5}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D37.5%7D)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
the price for the whole sale is 260/20=13
if the store is selling one sweater for 17.55
the percentage increase
17.55-13=4.55
4.55/13=0.35
0.35*100=35%
the increase was 35%
Answer:
16
Step-by-step explanation:
Answer:
its the last choice
Step-by-step explanation:
Draw a rectangle. If the length is 3 inches longer than its width, we can write the width as "w" and the length as the width + 3
Area is (width)(Length) = (width)(width+3)
W
----------
| |
| |
| | L = w+3
| |
| |
-----------
A = (w+3)(w)
A = w2 + 3w = 108.
(Problem states that area is 108 sq in)
Need to solve this quadratic equation
w2 + 3y - 108 = 0
Factor:
(w - 9) (w + 12) = 0
So
w - 9 = 0. or. w + 12 = 0
Solve these and get
w = 9. or. w = -12
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 9 inches
Length = 12 inches