On a map 1/2 in=8 miles. What would the actual distance be if there 7 1/4 miles?

0.5/8 = x/7.25

8x = 3.625

x = 0.453 inches on the map

On a map, 9 miles is represented by 2 centimeters. How many centimeters would represent 35 miles

To find the actual distance represented by 7 1/4 miles on the map, we need to use the given scale of 1/2 inch = 8 miles.

First, let's convert the mixed number 7 1/4 into a fraction.

7 1/4 can be written as (7 + 1/4).

Since there are 4 parts in 1 whole, we can convert the whole number 7 to have a common denominator of 4 by multiplying both the numerator and denominator by 4:

(7 + 1/4) = (28/4 + 1/4) = 29/4

Now, we can set up a proportion to find the actual distance.

On the map: 1/2 inch = 8 miles
Actual distance: x (we are trying to find this)

So, our proportion becomes:

1/2 inch / 8 miles = x / (29/4) miles

To solve for x, we can cross-multiply:

(1/2) * (29/4) = 8 * x

29/8 = x

Thus, the actual distance represented by 7 1/4 miles on the map would be 29/8 miles or approximately 3.625 miles.