The manager of a movie theater wants to know the number of adults and children who go to the movies. The theater charges $8 for each adult and $4 for each child. At a
showing where 200 tickets were sold, the theater collected $1304. Write two equations
that would be used to solve the system.

What are the soultion(s) to the quadratic equation 40- x^2=0

What is the sum of these mixed numbers 4 2/3+ 3 1/9

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.)