Jim has received scores of 75
and
81
on his first two 100 point tests.
What score must he get on his third 100 point test to keep an average of
84
or greater?

t ≥ 96   test score must be 96 or greater

Step-by-step explanation:

Let t - score on his third test

   (75 + 81 + t) ÷ 3 ≥ 84

⇒ (75 + 81 + t) ≥ 84 x 3

⇒ (75 + 81 + t) ≥ 252

⇒ 156 + t ≥ 252

⇒ t ≥ 252 - 156 ≥ 96

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1