Two friends are walking around a quarter- mile track. One person has completed six laps before the second one starts. The system below models
the distance d(t) in miles each walker covers as a function of time tin
hours. d(t) = 3t + 1.5 d(t) = 40 SOLVE IT USING ANY METHOD! a) Find the
solution of the system by graphing. (use your graphing calculator). (#, #) *

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.)