Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third? One-third (x + 9) = negative 12 One-third (x + 9 = negative 12. One-third x + 3 = negative 4. One-third x = negative 7. x = negative 27. One-third (x + 9) = negative 12. x + 9 = negative 4. x = negative 13. One-third (x + 9) = negative 12. x + 3 = negative 12. x = negative 15. One-third (x + 9) = negative 12. x + 9 = negative 36. x = negative 45.

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.)