I am studying for my final and I have several problems that I need help understanding. Here goes.

s = 1/2gt^2 solve for g

Tom earns $6,000 less than 2 times as much as Rachel. If their 2 incomes come to $60,000 how much does each make?

A train leaves town A for town B traveling at 40 mph. At the same time a second train leaves town B for town A at 50 mph. If the two towns are 720 miles apart how long will it take for the 2 trains to meet?

3/2x - 9 = 1/2x + 7 solve for x

Last one

v = kt/p solve for k

How do these get worked out? Please help.

1 answer

Here goes.

s = 1/2gt^2 solve for g

**** multiply both sides by 2, divide both sides by t^2

Tom earns $6,000 less than 2 times as much as Rachel. If their 2 incomes come to $60,000 how much does each make?

2R-6000=T
R+T=60000


A train leaves town A for town B traveling at 40 mph. At the same time a second train leaves town B for town A at 50 mph. If the two towns are 720 miles apart how long will it take for the 2 trains to meet?
the distance both travel (added) is 720miles.
720=40T+50T solve for T


3/2x - 9 = 1/2x + 7 solve for x
subtract 1/2 x from each side, add 9 to each side.
Last one

v = kt/p solve for k multiply both sides by p/k