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The scale on a map shows that 1 3/4 inches represents 280 miles. If two cites are 2 1/2 inches apart on the map, what is the distance between them?

2007-02-25 00:14:49 · 8 answers · asked by genesis 2 in Science & Mathematics Mathematics

8 answers

1 3/4 = 7/4

7/4 inches = 280 miles
2 1/2 inches = x miles

7 inches = 280*4
1 inch = (280*4)/7
= 160 miles

2 1/2 inches = 2 + 1/2inches
= (2*160 + 160*1/2) miles
= 320 + 80 miles
= 400 miles

2007-02-25 00:31:07 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 0 0

1 3/4 = 280 miles

Dovide 2.5 by 1.75 to get total distance

2.5 / 1.75 = 1.428571429

Multiply 280 times 1.428571429

280 x 1.428571429 = 400 miles

The distance between the is 400 miles

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Method 2

2 1/2 ÷ 1 3/4 =

5/2 ÷ 7/4 =

5/2 x 4/7 =

20/14 =

10/7 =

1.428571429

Multiply 280 times 1.428571429

280 x 1.428571429 = 400

The distance between them is 400 Miles

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2007-02-25 04:17:30 · answer #2 · answered by SAMUEL D 7 · 0 0

calculate how many miles 1 inch represent by dividing 280 by (1 3/4), than you can find how much 2 1/2 inches represent by multiplying 2 1/2 by the miles represented by 1 inch

2007-02-25 00:20:03 · answer #3 · answered by betaorix 2 · 0 0

7/4 inch=280 miles
1 inch=280*(4/7)=160 miles
2 1/2 inch=(5/2)*160=400 miles

2007-02-25 00:21:14 · answer #4 · answered by raj 7 · 0 0

it's proportions

((1 3/4) / 280)= ((2 1/2) / x)
then x= 400 miles

2007-02-25 00:20:56 · answer #5 · answered by A New Life 3 · 0 0

556

2007-02-25 00:25:27 · answer #6 · answered by Anonymous · 0 0

2,5 x 280 /1,75 = 400 miles

2007-02-25 00:23:42 · answer #7 · answered by physicist 4 · 0 0

1.75/280=2.5/x
x=(2.5/1.75) x 280
x= 400 miles
OK?

2007-02-25 00:24:15 · answer #8 · answered by cottagstan 5 · 0 0

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