On a map, 1/2 inch=10miles. How many miles apart are two towns that are 2 1/4 inches apart on the map?
You can set up a ratio, cross multiply, and solve for x.
0.5 / 10 = 2.25 / x
0.5x = 22.5
x = 45 miles
a map key shows that every 5 incheson the map represents 200 miles of actual distance. Suppose the distance between two citieson 7 inches. What is the actual distance between the two cities? Numerical patterns
To find out how many miles apart two towns are on a map, you can use the given scale. The scale states that 1/2 inch on the map represents 10 miles.
First, we need to determine how many miles are represented by one inch on the map. Since 1/2 inch represents 10 miles, we can calculate that 1 inch represents 20 miles (10 miles multiplied by 2).
Next, we can use this information to calculate the distance between the two towns. The distance between the towns is given as 2 1/4 inches on the map. To convert this to miles, we multiply 2.25 inches by the conversion factor of 20 miles per inch:
2.25 inches * 20 miles/inch = 45 miles
Therefore, the two towns are 45 miles apart.
To find out how many miles apart the two towns are on the map, we need to use the scale provided. In this case, 1/2 inch represents 10 miles.
To calculate the distance in miles, we can set up a proportion:
(1/2 inch) / (10 miles) = (2 1/4 inches) / (x miles)
First, let's convert the mixed fraction 2 1/4 to an improper fraction:
2 1/4 = (2 * 4 + 1) / 4 = 9/4
Now we can substitute the values into the proportion:
(1/2) / (10) = (9/4) / (x)
To solve for x (the distance in miles), we can cross multiply:
(1/2) * (x) = (10) * (9/4)
Now, let's simplify the equation:
x/2 = 90/4
To eliminate the fraction, we can multiply both sides of the equation by 2, which is the denominator of x/2:
(x/2) * (2) = (90/4) * (2)
This simplifies to:
x = 180/4
Now divide both sides by 4 to get the value of x:
x = 45
Therefore, two towns that are 2 1/4 inches apart on the map are 45 miles apart in reality.