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14 February, 20:37

There are two different maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 40 cm. The scale on the second map is 1 cm to 50 km. What is the distance from Cleveland to Cincinnati on the second map?

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  1. 14 February, 21:01
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    The distance from Cleveland to Cincinnati on the second map=8 cm

    Step-by-step explanation:

    Step 1

    Determine the actual distance from Cleveland to Cincinnati from the first map

    map distance=actual distance*scale factor

    where;

    map distance=40 cm

    actual distance=d

    scale factor=1 cm to 10 km=1/10

    replacing;

    40=actual distance * (1/10)

    actual distance = (40*10) = 400 km

    Actual distance between Cleveland and Cincinnati=400 km

    Step 2

    Calculate map distance using the second scale

    map distance=actual distance*scale factor

    where;

    actual distance=400 km

    scale factor=1/50

    replacing;

    map distance=400 * (1/50) = 8 cm

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