The non-profit organization you volunteer for is throwing a fundraiser cookout. you are in charge of buying the hamburgers, which cost $3 per pound, and hot dogs, which cost $2 per pound. the meat budget you are given totals $600 dollars. the inequality 3x + 2y less than or equal to 600 represents the possible combinations of pounds of hamburgers (x) and hot dogs (y) you can buy. graph of the inequality 3 x plus 2 y is less than or equal to 600 which of the following represents a solution to the inequality? 200 pounds of hamburgers and 140 pounds of hot dogs 150 pounds of hamburgers and 60 pounds of hot dogs 100 pounds of hamburgers and 240 pounds of hot dogs 240 pounds of hamburgers and 40 pounds of hot dogs

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)