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.
If your surveys are the following:
A. A survey of 110 teachers showed that 28 of them have a second job.
<span>B. A survey of 90 teachers showed that 27 of them have a second job. </span>
<span>C. A survey of 70 teachers showed that 21 of them have a second job. </span>
<span>D. A survey of 80 teachers showed that 32 of them have a second job.
</span>
Then the answer is B and C
Answer:
-1440
Step-by-step explanation:
24x -60 = -1440
Answer:C
Step-by-step explanation:
We know that the bottle of soft drink has a remaining
volume which is 2 / 3 of the original.
Since Jack drank 1 / 4 of the remaining volume, hence only
3 / 4 now finally remains, the total is:
(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2
<span>Hence the bottle is now one half full</span>
