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The scale on a map is 2.5 cm:500 m.How long would a segment on the map be if it represented 1.3 km?(Enter the number only correct to 1 decimal with no units in the blank.)

Question

The scale on a map is 2.5 cm:500 m.How long would a segment on the map be if it represented 1.3 km?(Enter the number only correct to 1 decimal with no units in the blank.)

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Solution

First, we need to convert the kilometers to meters because the scale is given in meters.

1.3 kilometers is equal to 1300 meters.

The scale of the map is 2.5 cm : 500 m. This means that 500 meters in real life is represented as 2.5 cm on the map.

To find out how long a segment on the map would be if it represented 1300 meters, we can set up a proportion:

2.5 cm / 500 m = x cm / 1300 m

Solving for x gives us the length on the map that represents 1300 meters.

Cross-multiplying gives us:

500m * x = 2.5cm * 1300m

Solving for x gives us:

x = (2.5cm * 1300m) / 500m

x = 6.5 cm

So, a segment representing 1.3 km in real life would be 6.5 cm long on the map.

This problem has been solved

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