Rika works in the perfume department at hoover’s department store. she is giving away samples of a new fragrance and a new scented hand lotion to customers that pass by her station. she is required to hand out a total of 114 samples during her shift. she has already handed out 36 samples, which represents 1/3 of the number of fragrance samples and 1/4 of the number of hand lotion samples that she must hand out.

write a system of equations for this problem situation. let x represent the number of fragrance samples, and let y represent the number of hand lotion samples.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?

What is the missing step in this proof ?