80 feet How many feet of piping is required in all? (Hint: Try dividing each radicand by 6.)
Answer: c
Step-by-step explanation:
Based on the percent breakdown of 360%.
100% 100% 100% 20%20%20%
15. 15. 15. 3. 3. 3.
100% is all of it, so 15. This is x.
20% of it would be calculated as 0.2 x 15 or 3. This is y.
There were 14 hens and 18 pigs in the backyard
Step-by-step explanation:
Katie was visiting her grandpas farm
- She saw only hens and pigs
- Katie counted 32 heads and 100 feet in the backyard
We need to find how many hens and pigs in the backyard
Assume that there are x hens and y pigs in the backyard
∵ There are x hens and y pigs in the backyard
∵ There are 32 heads
∴ x + y = 32 ⇒ (1)
∵ Each hen has 2 feet
∵ Each pig has 4 feet
∵ There are 100 feet
∴ 2x + 4y = 100 ⇒ (2)
Let us solve the system of equations to find how many hens and pigs
Multiply equation (1) by -2 to eliminate x
∴ -2x - 2y = -64 ⇒ (3)
- Add equations (2) and (3)
∴ 2y = 36
- Divide both side by 2
∴ y = 18
Substitute the value of y in equation (1) to find the value of x
∵ x + 18 = 32
- Subtract 18 from both sides
∴ x = 14
There were 14 hens and 18 pigs in the backyard
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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Answer: Function
f(x) = -2(x-105)^2 +18,050
Step-by-step explanation:
Because only this function satisfies both conditions i.e.
Condition : 1
Profit = 0, when x(items sold) = 10
f(10) = -2(-95)^2 + 18,050 = 0
Condition :2
Profit = 1 , when x = 105
f(105)= -2(105-105)^2 + 18,050 = -2(0) +18,050
f(105) = 18,050.