Lewis has a bag of colored marbles. the bag contains 24 red marbles, 36 blue marbles, and 60 yellow marbles. what are the ratios of the number of red marbles, blue marbles, and yellow marbles to the total number of marbles?           a. red = 1: 2; blue = 3: 10; yellow = 1: 5   b. red = 2: 3; blue = 3: 5; yellow = 1: 2   c. red = 1: 5; blue = 3: 10; yellow = 1: 2   d. red = 1: 5; blue = 3: 5; yellow = 1: 2  

The vertices of a rectangle are given in the columns of the matrix . if is found to perform a transformation, what are the coordinates of the transformed rectangle? (0, 0), (0, –3), (–3, –3), (–3, 0) (0, 0), (0, 3), (3, 3), (3, 0) (0, 0), (0, 3), (–3, –3), (–3, 0) (0, 0), (0, 3), (–3, 3), (–3, 0)

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:

Scott’s bank account showed a balance of $750 on sunday. during the next five days, he made one deposit of $140 and numerous withdrawals of $180 each. let x represent the number of withdrawals that scott made. write an inequality that can be used to find the maximum number of withdrawals that scott could have made and maintain a balance of at least $100. do not use a dollar sign ($) in your response.