John thunderhawk is making furniture. he finds that to design a particular cabinet and set up his shop to produce it costs $1,400. then the labor and supplies to build each one are $400. so his cost, y, for x items is represented by y=1,400 + 400x. he can sell the cabinets for $600. so his revenue, y, is represented by y=600x. the solution to this system of equations is his break-even point, the point beyond which he starts making a profit. how many cabinets must he sell to break-even?

For the equations below which statement is true ? -2x=14 6x=-42

80 points suppose marcy made 45 posts online. if 23 of them contained an image, what percent of her posts had images? round your answer to the nearest whole percent. 54 percent 51 percent 49 percent 48 percent

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.)