Write an equation to represent the number puzzle. Use x as the

variable. Then find the solution using guess-check-and-improve.

6 times a number, plus 2, is equal to 7 added to 4 times the number.

What is the number?

a. 6x + 2 = 7 + 4x, 3
b. 6x + 2 = 7 + 4x, 2.5
c. 6x + 2 = 7 + 4x, 2
d. 6x − 2 = 7 + 4x, 4.5

Aflower has 26 chromosomes. to create a new flower,how many would a sperm cell have what is called?

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

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.)