Let the width be w, length = 3w and height = 2w
Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7
width = 7 cm
Answer:
c)The proof writer mentally assumed the conclusion. He wrote "suppose n is an arbitrary integer", but was really thinking "suppose n is an arbitrary integer, and suppose that for this n, there exists an integer k that satisfies n < k < n+2." Under those assumptions, it follows indeed that k must be n + 1, which justifies the word "therefore": but of course assuming the conclusion destroyed the validity of the proof.
Step-by-step explanation:
when we claim something as a hypothesis we can only conclude with therefore at the end of the proof. so assuming the conclusion nulify the proof from the beginning
Answer:
-3s + 6
Step-by-step explanation:
Combine like terms. Like terms are terms with the same amount of the same variables. In this case:
8s - 11s + 6
(8s - 11s) + 6
-3s + 6
-3s + 6 is your answer.
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The <em><u>correct answers</u></em> are:
7 mugs on each shelf; and 7 shelves for blue and 8 shelves for red.
Explanation:
To find the number of mugs that will fit on each shelf, we find the GCF (greatest common factor) of 49 and 56. To do this, we find the prime factorization of each:
49 = 7(7)
56 = 7(8)
8 = 2(4)
4 = 2(2)
56 = 2(2)(2)(7)
The only common factor is 7, so this is the GCF. This means that she needs to put 7 mugs on each shelf.
Since there are 49 blue mugs, she needs 49/7 = 7 shelves for them.
Since there are 56 red mugs, she needs 56/7 = 8 shelves for them.
