contestada

on a map, 3 inches represent an actual distance of 42 miles. If the actual distance between two cities is 322 miles, how many inches apart will the two cities be on the map ?

Respuesta :

3 INCHES= 42 MILES. 42 MILES DIVIDED BY 322 MILES=  7.6 
3X7.6= 22.8 INCHES APART

Answer:

Two cities are 23 inches apart on the map

Step-by-step explanation:

on a map, 3 inches represent an actual distance of 42 miles.

the actual distance between two cities is 322 miles

Let x be the inches apart on the map

Lets make a proportion

[tex]\frac{inches}{actual} =\frac{inches}{actual}[/tex]

[tex]\frac{3}{42} =\frac{x}{322}[/tex]

Cross multiply and solve for x

[tex]966= 42x[/tex]

Divide both sides by 42

x= 23

Two cities are 23 inches apart on the map