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
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