34 times 25 = 100 plus 75 = 175 A student completed the multiplication problem shown on the left. What was done incorrectly?

She made an addition error when adding 100 + 75.
After she multiplied 4 × 20, the two extra tens from
4 × 5 were not added.
She multiplied 3 × 25 instead of 30 × 25.
She made a multiplication error when multiplying
4 × 25.

What is x3+3x2−16x−48 divided by x−1?

Car a and car b were in a race .the driver of car b claimed that his car was twice as fast as car a

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.)