A chemist is mixing solutions. Solution A is 15% acid, and solution B is 30% acid. She mixes the two solutions to make 12 liters of a new solution that is 25% acid. How many liters of each type of solution did the chemist use to make the new solution? Solution A:, Solution B: *

What is the simplified form of 7 √x • 7 √x • 7 √x • 7 √x?

Proportions in triangles solve for x

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.)