Peter’s pants palace advertises the following sale: shirts are 1/2 off the original price; pants are 1/3 off the original price; and shoes are 1/4 off the original price.
a. if a pair of shoes costs $40, what is the sales price?
b. at peter’s pants palace, a pair of pants usually sells for $33.00. what is the sale price of peter’s pants?

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil

The point a is at –2 and the point b is at 7. marissa would like to divide this line segment in a 4: 3 ratio, and she would like to use the formula x = (x2 – x1) + x1. what values should she substitute into the formula? a = a + b = x1 = x2 =

The complement of an angle is one-sixth the measure of the supplement of the angle. what is the measure of the complement angle?