The distance between two cities on a map is 4 1/2 inches. The actual distance between the two cities is 24 miles.

What is the scale used on the map?
If the scale on a different map of the same area is 1/4 inch = 1 mile, how many inches separate the same two cities?

6 inches is the second answer

the scale is 4.5in/24mi

since 1 mile = 63360 in, that means the scale is
4.5 : 24*63360 = 4.5 : 1520640 = 1:337920

Maybe now you can figure the scale on the 2nd map.

Thank You, SO MUCH!

but can you answer the second question?

if 1 mile = 1/4 inch, then 24 miles = 24 times that in inches.

I am confused on what i am supposed to put for part b

On a map, the scale is 1 inch = 20 miles. What is the actual distance between two cities that are 4.5 inches apart on the map?

To find the scale used on the map, we can set up a proportion using the given information:

Distance on the map / Actual distance = Scale on the map

Given: Distance on the map = 4 1/2 inches and Actual distance = 24 miles

Plugging in the values, we have:

4 1/2 inches / 24 miles = Scale on the map

To simplify the fraction, convert the mixed number to an improper fraction:

9/2 inches / 24 miles = Scale on the map

Now, divide the numerator by the denominator:

(9/2) / 24 = Scale on the map

To divide a fraction by a whole number, multiply the fraction by the reciprocal of the whole number:

(9/2) * (1/24) = Scale on the map

Multiply the numerators and the denominators:

9/48 = Scale on the map

Simplify the fraction:

3/16 = Scale on the map

Therefore, the scale used on the map is 3/16.

Now, let's answer the second part of the question:

If the scale on a different map is 1/4 inch = 1 mile, we can set up another proportion to find out how many inches separate the two cities:

Scale on the different map = 1/4 inch = 1 mile

Unknown distance on the different map / Actual distance = Scale on the different map

Given: Actual distance = 24 miles

Plugging in the values, we have:

Unknown distance on the different map / 24 miles = 1/4 inch = 1 mile

To isolate the unknown distance, multiply both sides of the equation by 24 miles:

Unknown distance on the different map = (1/4) inch * 24 miles

Multiply the numerators and the denominators:

Unknown distance on the different map = 24/4 inch * mile

Simplify the fraction:

Unknown distance on the different map = 6 inches

Therefore, the two cities are separated by 6 inches on the map with a scale of 1/4 inch = 1 mile.

On a map, the scale is 1 inch = 20 miles. What is the actual distance between two cities that are 4.5 inches apart on the map?

huh. I guess you can't follow the logic? If 1/4 inch = 1 mile then the scale is

1/4 in : 63360 inin = 1/4 : 63360
now just simplify that so it is 1 : ____