Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even.
m=2k-n, p=2l-n
Let m+n and n+p be even integers, thus m+n=2k and n+p=2l by definition of even
m+p= 2k-n + 2l-n substitution
= 2k+2l-2n
=2 (k+l-n)
=2x, where x=k+l-n ∈Z (integers)
Hence, m+p is even by direct proof.
[~Answer~] (8.):
Heyyy. I'm Avery, and I'm always here to help!
I believe the percent may be 15% ($2,400 - 15% = $2,040)
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[~Answer Explanation~}:
The percent of the difference is the rate of the difference * 100%
the percent of the difference = .15 * 100% = 15%
since the new price is less than the old price, that is the percent of the decrease.
(See if it'll work): $2,400- 15% = $2,040
And there's your answer <33
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A = 1/2 bh
multiply each side by 2
2A = bh
divide each side by b
2A/b =h
The height of a triangle is equal to twice the area A divided by the base ,b.
Ok so
ratio
35/200=x/3000
7/40=x/3000
multiply both sides by 12000
2100=4x
divide both sides by 4
525=x
aprox 525 people