Question

Points A and B are to be mapped onto a number line according to two equations. The solutions to the equation 2/3A=-24 is the coordinate of point A. Tje solution to the equation 20=-B/0.2 is the coordinate of point B. Solve the first equation to find the coordinate of point A. Show your work

Answer 1

Answer:

$\boxed{A=-36} \\ \\ \boxed{B=4}$

Step-by-step explanation:

In mathematics, a number line is graph of a straight line that shows a representation of real numbers. In this problem, points A and B are to be mapped onto a number line according to two equations. So we can find these two points by isolating A from the first equation and B from the second one as follows:

$\frac{2}{3}A=-24 \\ \therefore A=\frac{3(-24)}{2} \\ \\ \therefore \boxed{A=-36}$

$20=\frac{-B}{0.2} \\ \\ \therefore B=-(0.2)(20) \\ \\ \therefore \boxed{B=4}$