algebra
posted by jaime on .
A 40 inch board is cut into two pieces so that the shorter piece is twothirds of the length of the longer piece. What are the lengths of the two cut pieces?

traveling fromchicago to kansas city is a 540 mile trip. A small plane, facing a headwind (going against the wind), took 9 hours to get to kansas city. on the return trip to chicago the plane had a tailwind ( going with the wind) and the trip took only 6 hours. What was the average plane speed and the average wind speed?

Please don't post a new question as a response to your own post. Often it would be overlooked since tutors think it has been answered.
1.
longer piece  x
shorter piece (2/3)x
x+ 2x/3 = 40
3x + 2x = 120
5x=120
x=24
long piece is 24 , short piece is 16
2. speed of plane in still air  x mph
speed of wind  y mph
9(xy) = 540 > xy = 60
6(x+y) = 540 > x+y = 90
add them:
2x = 150
x = 75
speed of plane: 75 mph
speed of wind : 15 mph 
black people eat chicken

_files/i0100000.jpg feet long. She needs to cut the board into 11 pieces of equal length. How long should each

Deb is slicing up a cake for three people. The cake is 45cm long and the second piece is 10cm longer than the first, and the third piece is 5 cm less than double the first . How big is each slice? What is the Algebra equation for this?

Write an algebraic expression to answer the question below.
A rope is cut into two pieces. One piece has a length of
72
inches. If the other piece has a length of
w
inches, what was the total length of the rope, in inches, before it was cut?