Answer:
<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.
Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:
n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).
So, n can be written as 3 times another integer, thus n is divisible by 3.
<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.
Assume that n is divisible by 3. The above proof suggest that we write it as
n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).
As k, k+1, k+2 are three consecutive integers, we have completed our goal.
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
2x – 5x + 16 = –3(x – 6)
2x - 5x + 16 = -3x + 18
-3x + 16 = -3x + 18
0x = 1
x = 0
Answer:
i dont know but i reallyyy hope someone helpsss
Step-by-step explanation:
8/15 = m/15
Cross multiply:
8 * 45 = 15 * M
Simplifying
8 * 45 = 15 * M
Multiply 8 * 45
360 = 15 * M
Solving
360 = 15M