The length of one base of a trapezoid is 19 less than five times the length of the other base. if the trapezoid has a height of 18 feet and an area of 477 ft squared, find the length of the longer base.

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

What are the solutions of the system? solve by graphing. y = x^2 + 3x + 2 y = 2x + 2

What is always true about a positive integer raised to a negative odd power?