Student tickets for the football game cost $12 each. an adult ticket costs $20. $1720 was collected for the 120 tickets sold at the last game. which system of equations can be used to solve for the number of each kind of ticket sold? a. x + y = 120; x + 20y = 1720 b. x + y = 120; 12x + 20y = 1720 c. x - y = 120; 12x + 20y = 1720 d. x + y = 1720; 12x - 20y = 120

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Lizette is training for a marathon. at 7: 00 she left her house and ran until 8: 30, then she walked until 11: 30. she covered a total distance of 18 miles. her running speed was six miles per hour faster than her walking speed. find her running and walking speeds in miles per hour.

In a singing competition, there are 150 participants. at the end of each round, 40% of the participants are eliminated. how many participants are left after n rounds?