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:
Each cupcake would have 3/40 of a pound of nuts since that is 10x smaller than the total they have so they could put that amount into 10 cupcakes.
The answer is 3/40
Answer:
See below
Step-by-step explanation:
It's hard to see your photo but if that say m∠T than your answer would be
m∠ L.
The drawings are saying the the triangles are congruent which means all the interior angles of one triangle are congruent to the angles of the second triangle. m∠M = m∠J, m∠K = m∠E and m∠L = m∠T
Since you have two of the angles, you can also determine what m∠L and m∠T is equal to. The sum on all interior angles must be 180 degrees.
180 - 86 - 32 = 62
To convert a percentage to a decimal you move the decimal two places to the left. Therefore:
15.% becomes .15
You then multiply this decimal to the number you are trying to find the percentage of.
.15 × 60 = 9.
9 is 15% of 60.
