Answer:
The smaller number is 240.
Step-by-step explanation:
The question says that the larger number is 300, so 5 has to be 300.
4:5
?:300
You can use cross-multiplication or find the scale factor to find the answer.
Cross-multiplication:
4 × 300 ÷ 5 = 240
Finding the scale factor:
300 ÷ 5 = 60
4 × 60 = 240
The smaller number is 240.
Answer:
Yes they are equivalent.
Step-by-step explanation:
They each represent one half.
Answer:
7y + 14
Step-by-step explanation:
7(y+2) = 7y + 14
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>.
9x² - 12x + 4
write the equation with two middle terms that multiply to give 36
9x² - 6x - 6x + 4
by factorisation
3x(3x - 2) - 2(3x - 2)
(3x - 2)²
Thus OPTION A
