A school club spends $75 on supplies to set up a car wash fundraiser. The students are going to charge $6.00 per car. Write a linear model in the form y = mx + b where y represents the amount of profit the students earn for washing x number of
cars.

In the diagram below, tan θ = sqrt 3. what is the value of m?

Find the distance between (7,-6) and (-3,-9)

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.)