Answered

On a map, two cities are 5 and 3/4 inches apart. The scale of the map is 1/2 inch = 3 miles. What is the actual distance between the towns?

Verified Answer :

Parkourpeep

You know that 1 inch is 6 miles and 1/4 inch is 1.5 miles. So 6 5 = 30, and 1.5 3 = 4.5. Now you need to add 30 + 4.5 and that equals 34.5. The actual distance between the two towns is 34.5 miles.

Answer:

34.5 miles

Step-by-step explanation:

Hello, I think I can help you with this

Step 1

remember

\(a\frac{b}{c} =\frac{(a*c)+b}{b}\)

hence

\(5\frac{3}{4}inch\ =\frac{(5*4)+3}{4}\ inch\=\frac{23}{4}=.75\ inch\\\frac{1}{2} \ inch = 0.5\ inch\)

Step 2

you can solve this by using a simple rule of three

if

0.5 inch ⇒ 3 miles

5.75       ⇒ x miles?

\(\frac{0.5\ inch}{3\ miles}=\frac{5.75\ inch}{ x} \\\\isolating\ x\\\\ \frac{x*0.5\ inch}{3\ miles} = 5.75\ inch\\x=\frac{3\ miles*5.75\ inch}{0.5\ inch}}\\ x=34.5 miles\\\)

so, the distance between the towns is 34.5 miles

Have a great day

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