On a map, 1 inch equals 25 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?

75 miles

Step-by-step explanation:

We are given the scale on the map, which is that 1 inch is 25 miles in real life. We can write that as a ratio of 1 inch: 25 miles. Now say we have two inches, then we have 50 miles because we add on another 25 miles, then we do that again and we get to 75 miles.

Another way to think about it (more complicated):

you can represent ratios as a fraction

so we do 1/25=3/x

To find x, we can do (25*3)/1 which equals 75, if you don't know what I did there then you don't know, sorry!

you can also do it in a different way

same scenario though

you represent it as a fraction

and do 1/25=3/x. We see that the ratio from 1 to 3 is multiplied by 3 so that means the ratio from 25 to x is also going to be multiplied by 3, and 25 multiplied by 3 is 75.

Please let me know if you have any questions.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: