If a scale on a map is 2.5 cm to 30 miles..if two cities are 8 cm apart on the map what is the actual distance between the 2 cities?

I have 96 miles but not sure if that is right.

2.5/30 = 8/x

2.5x = 240
x = 96

You're right!

2.5/30 is your scale

so 2.5/30=8/x
a proportion, so cross multiply
2.5x=240
x=96

yeah i think you're right

ok thank you

To find the actual distance between the two cities, you need to use the scale provided on the map.

The scale on the map is 2.5 cm to 30 miles. This means that for every 2.5 centimeters on the map, it represents a distance of 30 miles in real life.

Now, you need to determine how many units of 2.5 centimeters are present between the two cities on the map. You mentioned that the distance between the two cities on the map is 8 centimeters.

To find the actual distance, you can set up a proportion:

(2.5 cm) / (30 miles) = (8 cm) / (x miles)

Cross-multiplying the numbers, we have:

(2.5 cm) * (x miles) = (30 miles) * (8 cm)

2.5x = 240

Solving for x:

x = 240 / 2.5

x = 96

So, based on the given scale, the actual distance between the two cities is 96 miles. Therefore, your answer of 96 miles is indeed correct.