What is the result of subtracting the second equation from the first?
−3x+2y=7−3x−2y=4\begin{aligned} -3x+2y & = 7 -3x-2y & = 4 \end{aligned}
−3x+2y

−3x−2y


=7
=4

Aramp rises 4 feet over a distance of 10 feet. what is the length of the ramp?

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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.)