![\bf \cfrac{(a-3)\left( \frac{a}{3}+1 \right)}{\frac{1}{3}}\implies 3\left[ (a-3)\left( \frac{a}{3}+1 \right) \right] \\\\\\ 3\left[\frac{a^2}{3}+a-a-3 \right]\implies 3\left[\frac{a^2}{3}-3 \right]\implies a^2-9](https://tex.z-dn.net/?f=%20%5Cbf%20%5Ccfrac%7B%28a-3%29%5Cleft%28%20%5Cfrac%7Ba%7D%7B3%7D%2B1%20%5Cright%29%7D%7B%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%203%5Cleft%5B%20%28a-3%29%5Cleft%28%20%5Cfrac%7Ba%7D%7B3%7D%2B1%20%5Cright%29%20%5Cright%5D%20%5C%5C%5C%5C%5C%5C%203%5Cleft%5B%5Cfrac%7Ba%5E2%7D%7B3%7D%2Ba-a-3%20%20%5Cright%5D%5Cimplies%203%5Cleft%5B%5Cfrac%7Ba%5E2%7D%7B3%7D-3%20%20%5Cright%5D%5Cimplies%20a%5E2-9%20)
when you have polynomials multiplication, say (x+y) (a+b+c), you can always just multiply x(a+b+c) + y(a+b+c), namely each term by all others and sum them up, like above.
57 chairs because you are given the needed information to solve the answer. There will be 456 people attending so you need to divide that by 8 to get your answer.
Answer:
it can be. It just depends on what you are interested in. If you are interested in a scientific field then it is an amazing way to use your time. But if you are bot interested in science, it is a waste personally.
Well, the rooms require 8 cans of paint, and since you spilled some, you have 1 can, so you would have to buy 7 cans of paint.
Answer:
5 gifts
Step-by-step explanation:
Given information:
- Cost of one gift = $4
- Total money = $50
- Money left after purchasing gifts = at least $28
Let x = greatest number of gifts James can buy
Create an inequality with the given information:
⇒ 50 - 4x ≥ 28
<u>Solve the inequality</u>
Add 4x to both sides:
⇒ 50 - 4x + 4x ≥ 28 + 4x
⇒ 50 ≥ 28 + 4x
Subtract 28 from both sides:
⇒ 50 - 28 ≥ 28 + 4x - 28
⇒ 22 ≥ 4x
Divide both sides by 4
⇒ 22 ÷ 4 ≥ 4x ÷ 4
⇒ 5.5 ≥ x
⇒ x ≤ 5.5
We must <u>round down</u> to 5 as if James buys 6 gifts, he will only have $26 remaining. Therefore, the greatest number of gifts James can buy is <u>5 gifts</u>.
