Scott will rent a car for the weekend. He can choose one of the two plans. The first plan has an initial fee of $65 and costs an additional $0.70 per mile driven. The second plan has no initial fee but costs $0.90 per mile driven. How many miles would Scott need to drive for the two plans to cost the same?

If you measured the width of a window in inches and then in feet with measurement would you have the greater number of units

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.)

Factor the following expression completely 6x^11-24x^7