A map has a scale of 5cm=20km. If two cities are 17 centimeters apart on the map what is the actual distance between the two cities to the nearest tenth of a kilometer

To find the actual distance between the two cities, we need to use the scale of the map.

The scale of the map is 5cm = 20km.

We have that two cities are 17 centimeters apart on the map.

Let's set up a proportion to find the actual distance:

5cm / 20km = 17cm / x

Cross-multiplying, we get:

5cm * x = 17cm * 20km

Simplifying, we have:

5x = 340km

Dividing both sides by 5, we get:

x = 68km

Therefore, the actual distance between the two cities is 68 kilometers.

To find the actual distance between the two cities, we can use the scale provided on the map. The scale tells us that 5 centimeters on the map represents 20 kilometers in real life.

First, we need to determine the conversion ratio from centimeters to kilometers. Since 5 centimeters on the map represents 20 kilometers, we can find the conversion ratio by dividing the number of centimeters represented by the scale (5cm) by the number of kilometers represented (20km):
Conversion ratio = 5cm / 20km

Next, we can use this conversion ratio to convert the distance between the two cities on the map (17 centimeters) to the actual distance in kilometers. We can do this by multiplying the distance on the map by the conversion ratio:
Actual distance = 17cm * Conversion ratio

Substituting the conversion ratio, we get:
Actual distance = 17cm * (5cm / 20km)

Now, we can simplify the equation:
Actual distance = 17cm * 5/20 = 85/20 km

To find the actual distance to the nearest tenth of a kilometer, we can divide the numerator (85) by the denominator (20) and round the result to the nearest tenth:
Actual distance ≈ 4.3 km

Therefore, the actual distance between the two cities is approximately 4.3 kilometers.

5cm/20km = 17cm/x km

cross multiply:
5x = (20)(17)

solve for x.

Use this proportion. Cross multiply and solve for x.

5/20 = 17/x

5x = 340
x = 68.0