Math help..10 pts best answer with details..?

Question

A map shows a scale of 1 inch= 73.6 mi

a) how many inches would represent 576 miles?
b) how many miles will 3.5inches represent?

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2) are 0.2525 and 0.2525 equal? why are why not?

there is a repeating bar over the 25 in 0.2525 and a repeating bar over 525 in 0.252.

Thanks!!

Answer 1

a) 1=73.6 and x=576 set these up as two ratios 1/73.6 and x/576 and set them =. As long as inches are both top or bottom and miles are both top or bottom, it will work

Set ratios = to each other and cross multiply.

1/73.6 = x/576
1(576) = 73.6x
576=73.6x (divide both sides by 73.6)
576/73.6 = x
x=7.82 inches

b) 1= 73.6 and 3.5=x
1/73.6=3.5/x (cross multiply)
1x=(73.6)(3.5)
x=257.6 miles

2. first one is 0.252525252 etc
second one is 0.25255255252 because the repeating bar tells you which digits repeat.... so they are not equal

Answer 2

a) how many inches would represent 576 miles?
x/576 = 1/73.6
x = 576/73.6 ≈ 7.826 in. ≈ 7 7/8 in.

b) how many miles will 3.5inches represent?
x/3.5 = 73.6/1
x = 3.5*73.6 = 257.6 mi.
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2) are 0.2525 and 0.2525 equal? why are why not?

Given your additional information they are not equal:
0.2525 525 525 > 0.2525 25 25 25

Answer 3

1 inch = 73.6 mi
a) 576 miles = ?
(576/73.6) times 1 inch = 7.83inches
b) 3.5 inches = ?
3.5 inches times 73.6miles = 257.6miles

Answer 4

use your calculator a) 576/73.6 = how many miles b)3.5x73.6 = how many miles