on a map, the key indicates that 2.5 centimeters equals 10 miles. a road on the map runs for 30 centimeters. how long is the road?
2.5/10 = 30/x
Cross multiply and solve for x.
bro somebody help this m work
To find the length of the road, we need to use the scale provided on the map, which states that 2.5 centimeters equals 10 miles.
First, we can set up a proportion using the scale:
2.5 centimeters = 10 miles
Next, we can find how many times the scale needs to be multiplied to get to the 30 centimeters length of the road:
30 centimeters ÷ 2.5 centimeters = 12
Now, we can set up another proportion to find the length of the road:
10 miles = 1 scale unit (since 2.5 centimeters = 10 miles)
x miles = 12 scale units
Cross-multiplying the proportion, we have:
10 * 12 = 1 * x
120 = x
Therefore, the road on the map is 120 miles long.
To determine the length of the road on the map, you can use the scale provided in the key. The scale states that 2.5 centimeters on the map represents 10 miles in reality.
First, you need to figure out how many times 2.5 centimeters fits into 30 centimeters on the map. You can do this by dividing 30 by 2.5:
30 centimeters ÷ 2.5 centimeters = 12
So, the road on the map runs for 12 units (since each unit represents 2.5 centimeters).
Next, you need to convert this length on the map to the actual length in miles. Using the scale of 10 miles for every 2.5 centimeters, you can set up the proportion:
2.5 centimeters = 10 miles
12 units = x miles
Cross-multiplying to solve for x:
2.5 centimeters * x miles = 12 units * 10 miles
2.5x = 120
Dividing both sides by 2.5:
x = 48
Therefore, the road on the map corresponds to a length of 48 miles in reality.