A cooler of Gatorade is filled at the beginning of a football game. During the first quarter, the players drank 1 / 4 of the Gatorade. During the second quarter, they drank 1 / 2 of the remaining Gatorade. During the third quarter, the players drank 1/ 3 of the liquid that remained after halftime. If 10 cups are left at the beginning of the fourth quarter, how much Gatorade did the cooler originally hold?

X2 + y 2 = 36 x + y = 6 solve the system of equations.

[15 points, algebra 2]simplify the complex fraction and find the restrictions.

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.