Aclosed container has 4.02 ⋅ 1023 atoms of a gas. each atom of the gas weighs 1.67 ⋅ 10^−24 grams. which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?

6.71 grams, because (4.02 ⋅ 1.67) ⋅ (10^23 ⋅ 10^−24) = 6.7134

5.69 grams, because (4.02 + 1.67) ⋅ (10^23 ⋅ 10^−24) = 5.69

0.67 grams, because (4.02 ⋅ 1.67) ⋅ (10^23 ⋅ 10^−24) = 6.7134 ⋅ 10^−1

0.57 grams, because (4.02 + 1.67) ⋅ (10^23 ⋅ 10^−24) = 5.69 ⋅ 10^−1

John used linear combination to solve the system of equations shown. he did so by multiplying the first equation by -3 and the second equation by another number to eliminate the x-terms. what number did jonas multiply the second equation by? 4x-6y=23x+5y=11

Simplify 24÷(-2)(3)+7 a. -29 b. 3 c. 11

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.)