Me. Mesa and Ms. Felipe are going to race each other to see who is going to pay for lunch. Ms. Felipe decides to give Ms. Messa a ten-foot head start. Ms. Messa runs at a rate of 7ft/s and Ms. Felipe runs at a rate of 9ft/s. Whoever loses gets to pay for lunch.

And explain how you got it so i can understand future problems : 3

Mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3 marbles into a marble jar. when the jar has 100 or more marbles, the students have a party. right now, the the jar has 24 marbles. how could mrs. morton reward the class in order for the students to have a party?

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.