Answer:
The time it would take them to fill 750 gallons
= 200 minutes or 3 hours 20 minutes
Step-by-step explanation:
Step 1 :
We calculate the rate at which the hoses fill for Andre and His neighbor
For Andre
The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes.
The rate is calculated as:
5 gallon/2 minutes
= 2.5 gallons/minute
For His neighbor
The hose at his next-door neighbor's house can fill a 10-gallon bucket in 8
minutes.
= 10 gallon/8 minutes
= 1.25 gallon/minute
Step 2
Hence:
If they use both their garden hoses at the same time, and the hoses continue working at the same rate, the sum of their rate =
2.5 + 1.25 = 3.75 gallons per minute.
Step 3
The time it would take them to fill 750 gallons =
750 gallons ÷ 3.75 gallons per minute
= 200 minutes
= 3 hours 20 minutes
Answer: The formula is (b1 + b2)h+PH
Step-by-step explanation:
She bought 8 bags of candy since 10 multiplied by eight is 80 and 8 is two less than ten.(ten candies in each bag)
Answer:
hope it helps you see the attachment for further information
<h3>
Answer: 15x^(7/3) - 8x^(7/4) + x + 9000</h3>
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Explanation:
If you know the cost function C(x), to find the marginal cost, we apply the derivative.
Marginal cost = derivative of cost function
Marginal cost = C ' (x)
Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.


D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).
To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.
Therefore, we go from this

to this

which is the final answer.