First, we need to know the smallest two digit prime number. It can't start with one, since one is not prime, so it must start with two (or be in the twenties.) 20 is divisible by 2, 4, 5, and 10, 21 is divisible by 7 and 3, 22 is divisible by 2 and 11, so the smallest prime number is 23.
Now we need the largest two-digit prime number. It cannot start with nine or eight, since both are composite, so it must start with seven (be in the seventies.) 79 is the largest integer in the seventies and also happens to be prime, so there's our largest two digit prime number.
now we just need to add them for the sum:
23+79=102
hope I helped, and let me know if you have any questions :D
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as there are no options to select from.
However, a general explanation is as follows.
Given
Required
Is 
a correct expression?
Let
So:
becomes
Divide both sides by 2
Hence:
is incorrect
Equivalent expressions are expressions with equal values
The equivalent expression is 16.5d+9
<h3>How to determine the equivalent expression</h3>
The expression is given as:
14.5d+8.5-1/2d+1/2+2.5d
Express the fractions as decimals
14.5d+8.5-0.5d+0.5+2.5d
Collect like terms
14.5d-0.5d+2.5d+8.5+0.5
Evaluate the like terms
16.5d+9
Hence, the equivalent expression is 16.5d+9
Read more about equivalent expressions at:
brainly.com/question/2972832
Answer:
HOPE THIS HELPS
Step-by-step explanation:
The area = length * Width.
We know the width = X+6 inches and Area = x^3+3x^2–18x.
This problem can be solved just by dividing the area by width and we get a quotient as X^2–3x.
So the length is x^2–3x inches.
