On a map, the distance between Greenville and Fairview is 7 1/4 inches. If the map uses a scale of 1/2 inch = 40 miles, what is the actual distance between the cities?

Respuesta :

The actual distance between cities is 580 miles.

Step-by-step explanation:

Map distance = [tex]7\frac{1}{4}[/tex] inches = [tex]\frac{29}{4}\ inches[/tex]

Scale used;

[tex]\frac{1}{2}\ inches = 40\ miles[/tex]

Multiplying both sides by 2

[tex]2*\frac{1}{2}=40*2\\1\ inch = 80\ miles\\[/tex]

Now,

[tex]\frac{29}{4}\ inches = \frac{29}{4}*80\\\\\frac{29}{4}=29*20\\\\\frac{29}{4}\ inches = 580\ miles[/tex]

The actual distance between cities is 580 miles.

Keywords: fraction, multiplication

Learn more about fractions at:

  • brainly.com/question/2367554
  • brainly.com/question/2670657

#LearnwithBrainly