6. Suppose a teacher has a class of 30 students. One day, he forgets to take roll but notices that there were an even number of students when they lined up two by two. Later when he split them into groups of 5, he found that one group was left with only 3 students. Then when he split them into groups of 3, there was one student left out. How many of the 30 students were present that day?

If a team of four players must be made from eight boys and six girls, how many teams can be made if they must all be boys?

A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…

6) Ronnie has two printing machines that print at different rates. Machine A prints 45 shirts every 5 minutes. Machine B prints 35 shirts every 15 minutes If he leaves the two machines printing for 2 hours. How many shirts would be printed by both machines?