Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 26 miles per gallon on the highway if your average speed is 45

miles per hour, and it averages 18

miles per gallon on the highway if your average speed is 65

miles per hour. Answer parts (a) and (b) below.

a. What is the driving time for a 2500

-mile

trip if you drive at an average speed of 45

miles per hour? What is the driving time at 65

miles per hour?

1. are the triangles similar and if so why? what is the value of x? show your work.

Which graph represents the same relation is the sa which graph represents the same relation as the set {(-3-2)}

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.)