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There are two different maps of ohio. The scale on the first map is 1 cm to 10 km. The distance from cleveland to clncinnati is 40 cm. The scale on the second map is 1 to 50 km what is the distance from cleveland to cincinnati on the second map explain your reasoning

Respuesta :

Answer:

The distance from Cleveland to Cincinnati on the second map is 8 cm.

Step-by-step explanation:

The distance from Cleveland to Cincinnati is 40 cm on the first map and the scale on the first map is 1 cm to 10 km.

So, the actual distance from Cleveland to Cincinnati [tex]=(40*10) km = 400 km[/tex]

Suppose, the distance from Cleveland to Cincinnati on the second map is  [tex]d[/tex] cm.

Given that, the scale on the second map is 1 cm to 50 km. So, the equation will be........

[tex]\frac{d}{400}=\frac{1}{50}\\ \\ 50d=400\\ \\ d=\frac{400}{50}=8[/tex]

So, the distance from Cleveland to Cincinnati on the second map is 8 cm.

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