Andy wants to build a circular concrete patio in his backyard and install a jungle gym on top of it. one 80-lb bag on concrete will be enough for 2 square feet. if he wants the diameter of the patio to be 10 ft, how many bags of concrete will he need to purchase ?

During each minute of a comedy show, carlin laughs 55 times. carlin watches 33 comedy shows every day, and each show is 40 minutes long. how many times does carlin laugh every day due to the comedy shows?

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. 1^2 + 4^2 + 7^2 + + (3n - 2)^2 = [n(6n^2-3n-1)/2]

Afamily has two cars. the first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. during one particular week, the two cars went a combined total of 1025 miles, for a total gas consumption of 55 gallons. how many gallons were consumed by each of the two cars that week?