Math question

find the question in the attachment.
send answer with explanation.

We know there are no squares between 100² and 101².

So we just want to know how many numbers between a and b exclusive, which is

n = b - a - 1

For example between 10 and 20 exclusive we get n=20-10-1=9, which is right.

For our problem here we can factor using the difference of two squares and get:

n = 101² - 100² - 1 = (101 - 100)(101 + 100) - 1 = 1(201) - 1 = 200

d. 200

Ned scored 2p+3. Tony scored 3 points more than Ned, so Tony scored 3+2p+3, or 2p+6. Matt scored twice as many points as Tony, so Matt scored 2(2p+6), or 4p+12. Juan scored 8 fewer points than Ned, so Juan scored 2p+3-8, or 2p-5. To simplify, we add these four values. 2p + 3 2p + 6 4p + 12 2p - 5 This equals 10p + 16.