Late at night, in a castle far away, the king could not sleep. so he got up and at 1/4 of the mangoes from a bowl in the kitchen. the queen got up and ate 1/3 of the mangoes that were left. the prince at 1/2 of the mangoes that the queen did not eat. there were 12 mangoes left in the bowl when she was done. how many mangoes were in the bowl at the beginning?

What is the solution to the inequality

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers. a) one of the 400 passengers is selected uniformly at random. let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

What expression is equivalent to 42x-56y