Roger is having a picnic for 72 guests. he plans to serve each guest at least one hot dog. if each package, p, contains eight hot dogs, which inequality gives the minimum number of packages he will need to buy? a) p ≥ 9 b) p ≥ 6 c) p ≤ 6 d) p ≤ 9

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2

If np3 /nc2 = 6, find the value of n