On a large map the distance from austin,texas,to milwaukee,wisconsin, is 13.7 inches. The actual distance is about 1000 miles.what is the distance on the same map from indianapolis,indiana,to louisville,kentucky, if the actual distance is about 100 miles?round your answer to the nearest tenth.

Respuesta :

The distance from Indiana to Louisville is 1.37 inches on map.

Step-by-step explanation:

Distance from texas to milwaukee = 1000 miles

Distance on map = 13.7 inches

Distance from indiana to louisville = 100 miles

Distance on map = x

Using proportion;

Distance from texas to milwaukee: distance on map :: Distance from indiana to louisville : Distance on map

[tex]1000:13.7::100:x[/tex]

Product of mean = Product of extreme

[tex]100*13.7=1000*x\\1370=1000x\\1000x=1370[/tex]

Dividing both sides by 1000;

[tex]\frac{1000x}{1000}=\frac{1370}{1000}\\x=1.37\ inches[/tex]

The distance from Indiana to Louisville is 1.37 inches on map.

Keywords: Ratio, proportion, distance

Learn more about proportions at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

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