Between what two consecutive integers where does the square root of 115 lie?

a. 10 and 11

b. 8 and 9

c. 9 and 10

d. 115 and 116

ratio is 2 : 9

the answer is three

13.5 : 3

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal