A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack has 8 hotdogs and each large pack has 18 hotdogs. The school bought 13 packs of hotdogs that have a total of 164 hotdogs. Determine the number of small packs purchased and the number of large packs purchased. Put your answer as a coordinate pair (#small packs,#large packs)

Explain how you divide powers with like bases.discuss why the bases have to be the same.how are these rules similar to the rules for multiplying powers with like bases.

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.)

y=2x−1 5x−4y=1 is (1,1)(1,1) a solution of the system?