Question

Two cities are 3 1/2 inches apart on a map the map scale says that 1/4 inch is 1 mile how many miles apart are the two cities

Answer 1

To find the actual distance between two cities that are 3 1/2 inches apart on a map with a scale of 1/4 inch per mile, convert inches to miles using the scale factor, resulting in a distance of 14 miles.

Step-by-step explanation:

The question asks how many miles apart two cities are if they are 3 1/2 inches apart on a map with a scale where 1/4 inch represents 1 mile. To find the actual distance in miles, you need to perform a simple multiplication based on the given map scale.

First, convert the mixed number 3 1/2 inches to an improper fraction:

• 3 1/2 inches = 7/2 inches (since 3 * 2 + 1 = 7 and the denominator remains 2)

Next, know that if 1/4 inch equals 1 mile, then 1 inch equals 4 miles (since 1 divided by 1/4 equals 4). We multiply the number of inches by the scale factor to find the distance:

• 7/2 inches * 4 miles/inch = (7 * 4)/2 miles = 28/2 miles = 14 miles

Therefore, the two cities are 14 miles apart.

Answer 2

every 1/4 inch on the map is 1 mile.

You need to find the number of 1/4 inches there are in 3 1/2 inches.

There are four 1/4 inches per inch.

3 x 4 = 12

There are two 1/4 inches in 1/2 inch.

12+2 = 14

The cities are 14 miles apart.