Point C is on the midpoint of a section of highway, represented by AB. If AB = 32 miles, AC = 4x miles, and CB = 12 + x miles, explain three different ways
that
you
could
solve for x.

To solve this question, we need to understand the concept of midpoint.

Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:

Segment:

C is the midpoint of the segment AB, which means that:

The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.

The distance of the midpoint to one of the endpoints is half the total distance, that is:

Solution:

We have to solve for x, considering one of the three relations.

Considering:

The solution for x is x = 4 miles.

A similar question is found at

The granola summer buys used to cost $6.00 per pound but it has been marked up %15 Question: How much did it cost summer to buy 2.6 pounds of granola at the old price.=> previous price of granola = 6.00 dollars per pound=> marked up 15% = 15% /100% = .15 solve:=> 6 * .15 = .9=> 6 + .9 = 6.9 dollars per poundNow, you want to buy 2.6 pounds=> 6.9 * 2.6 = 17.94 dollars