Answer: 2.5 ft.
Step-by-step explanation: We know that the wall is 10ft and each poster is 1 1/4 ft, so subtract both posters from the wall, 10-2.5 = 7.5, then divide 7.5 by 3 since we need 3 lengths, and we get 2.5ft. So for x, it would be 2.5ft.
x=2.5
Hope this helps!
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>.
The growth factor for the mass of bacteria is 2.8 in 1 week.
Step-by-step explanation:
Step 1:
It is given that the bacteria in the culture increase by 260% per week. Now we assign values to get a better understanding. If there were 1,000 bacteria in the culture at the start of the week there would be 1,000 + 260% at the week's end = 1,000 + 2,600 = 3,600 at the week's end.
Step 2:
To calculate the growth factor, we calculate the difference between the present value and the past value and divide it by the past value.
Here the past value is 1,000 and the present value is 2,600.
Growth factor = 
So the growth factor is 2.6 per week.
Answer:
x=1.5
Step-by-step explanation:
- 5=10(5x-7)
- 0.5=5x-7
- 7.5=5x
- x=1.5
