The distance from New York City to Riverhead is approximately 150 miles. On a map whose scale is 24mi= 2inch, what is the distance between the two locations in inches?​

12.5 inches

Step-by-step explanation:

To best find this answer, we should set up a proportion. Our first fraction is practically given to us in the problem, and would look like this:

Next, we need to set up our second fraction. An important thing to make sure of is that the 150 is on the same side as the 24 since they are both miles. Here is what the final equation should look like:

To solve, just cross multiply and divide! First, multiply 2 by 150, giving you 300. Next, just divide the 300 by the remaining 24, giving you a final answer of 12.5 inches. Here's what the final calculations look like:

2in X 150mi = 300

300 / 24mi = 12.5in

first, let's see what the pattern is.

58 - x = 47

46 - x = 36

x = 9

so this means that the term after 25 is 25 - 9:

the next term in the sequence is 16.