Of the $395 that carlos collected for the fundraiser, $310 was in tens and twenties with the rest in five. how many fives did he collect

Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third

What is the ordered pair of m’ after point m (5, 6) is rotated 90° counterclockwise?

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.)