The distance between two cities on a map is 2 inches. The map scale is 1/4 inch = 5 miles. What is the actual distance between the cities?

The actual distance is 40 miles.

Step-by-step explanation:

First, it’s always easier for the first unit to be 1, so it’s easier to convert. To do get one from 1/4, you would multiply by 4.

1/4 x 4 = 1

However, we all know that if you do something to one side, you must do it to the other side, so we multiply 5 by 4.

5 x 4 = 20.

Your equation know looks like this:

1 inch = 20 miles.

Now, we just multiply both sides by 2, since that the amount of inches we need.

1 x 2 inches = 20 x 2 miles

2 inches = 40 miles

Therefore, the actual distance is 40 miles.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.