While riding her bike to the ocean and back home 7 times, Michelle timed herself at 54 min, 55 min. 50 min, 48 min, 42 min. 50 min, and 61 min. She had set a goal of averaging 51 minutes for her rides. How many minutes will she need to spend on her eighth ride to attain her goal?

The hawaiian alphabet has 12 letters. how many permutations are posible for each number of letters?

Aschool allots ? 1500 to spend on a trip to the theatre. theatre tickets have a regular cost of ? 55 each and are on offer for 1 5 off. a train ticket for the day will cost ? 12 each. if 2 teachers and the maximum number of students attend, how much money will the school have left over?

How can constraints be used to model a real-world situation?