First-grade student, Noah, has set up a lemonade stand in his front yard. It cost $10 for the initial supplies, and it costs him $0.05 for each cup of lemonade he makes. He is selling his lemonade for $0.50 per cup. How
many cups of lemonade must Noah sell in order to not lose any money? Write a system of linear equations
that models Noah's expenses and revenue. Let c represent the number of cups of lemonade sold, and let y
represent the total expenses or total revenue.

Which are factor pairs of 350? choose all answers that are correct. a) 30 and 12 b) 35 and 10 c) 70 and 5 d) 2 and 125

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.)

Write the standard form of an equation with (see picture below)