Going against the current, a boat takes 6 hours to make a 120-mile trip. when the boat travels with the current on the return trip, it takes 5 hours. if x = the rate of the boat in still water and y = the rate of the current, which of the following systems could be used to solve the problem? 6(x - y) = 120 and 5(x + y) = 120 6(x + y) = 120 and 5(x - y) = 120 6x - 5y = 120 and x + y = 120

Solve the system of equations. y= 2x y= x^2 - 15

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Anumber cube is rolled two times in a row. find the probability it will land on 2 on the first roll and a number greater then 4 on the second roll