if the scale of a map is 1/4inches = 1 miles. the distance between two cities on the map is 3 1/4inches. what is the acutal distance ,in miles,between the two cities.

If ¼" = 1 mile, then you need to ask yourself this question: How many ¼-inches there are in 1 inch?

4, right?

Now multiply and then add.

What do you get?

Or you could set up a proportion. .25/1=x/3.25

To find the actual distance between the two cities, we can use the scale of the map.

Given:
Scale of the map: 1/4 inch = 1 mile
Distance on the map: 3 1/4 inches

To find the actual distance, we can set up a proportion:

1/4 inch x miles
________ = ___________
1 mile 3 1/4 inches

To find the value of x, we can cross-multiply and solve for x:

(1/4) * (3 1/4) = 1 * x
13/4 = x

Therefore, x = 13/4 miles.

So, the actual distance between the two cities is 13/4 miles, which can also be expressed as 3 1/4 miles.