Answer:
4 1/2 tons of recycled paper
Step-by-step explanation:
13.5/3 = 4.5 or 4 1/2
x=10
Step-by-step explanation:
7x - 5=65
+5 +5 so the 5's cancel so add 5 to 65
7x =70 because you add 5 to 65 to get 70
7x 7
7 x cancels out so you answer will be
x=10
Refer to the attached for step by step explaination.
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Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.