Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mix to be 2 parts compost to 10 parts potting soil. He wants to end up with 10 kilograms of mix. How many kilograms of compost should Gabriel use?

Which of the following is a geometric sequence? a. 5, 12, 17, 29, 46 b. 3, 7, 11, 15, 19 c. 4, 6, 10, 16, 26 d. 4, 16, 64, 256

If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system? a. there are infinitely many solutions. b. there is no solution. c. there is exactly one solution. d. the lines in a system cannot be parallel.

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