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Parallelogram JKLM has the coordinates J (3, 7), K (14, 7), L (10, 1), and M (-1, 1). Which of the following sets of points represents a dilation from the origin of parallelogram JKLM?

A.
J' (8, 12), K' (19, 12), L' (15, 6), M' (4, 6)
B.
J' (3, 35), K' (70, 7), L' (50, 1), M' (-1, 5)
C.
J' (15, 7), K' (70, 7), L' (50, 1), M' (-5, 1)
D.
J' (15, 35), K' (70, 35), L' (50, 5), M' (-5, 5)

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

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

Solve: 3x+y=6 4x-2y=18 show all work !