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MissTica
3 years ago
11

An ice cream factory makes 170 quarts of ice cream in 2 hours how many quarts could be made in 36 hours what was that rate per d

ay ?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0
170 quarts/2 hours = 85 quarts/hour 

85 quarts/hour * 36 hours = 3060 quarts

85 quarts/hour * 24 hours = 2040 quarts
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Please help me with this ​
JulijaS [17]

Answer: C

Step-by-step explanation:

The formula to find average rate of change is \frac{f(b)-f(a)}{b-a}. Since the problem is asking for the average rate of change from the second to fifth year, we plug in a=2 and b=5.

\frac{f(5)-f(2)}{5-2}

f(5)=420.4

f(2)=408.04

\frac{420.4-408.04}{5-2}=4.12

Now, we get 4.12 dollars per year for the average rate of change.

7 0
4 years ago
The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

3 0
3 years ago
There are 55 apples in each row. There are 5000 rows. How many apples in all?
koban [17]

Answer:

you would take the amount of apples per row and multiply it by the amount of rows, so in this case it would be 55x5000 which is 275000

there's 275000 apples in all

8 0
3 years ago
Simplify.<br> 10 / 7 k + 11 / 7 - 2 k + 2/7 + 2/7 k -6
ioda

Combine like terms

10/7k + 2/7k = 12/7k - 2k = 12/7k - 14/7k = -2/7k

11/7 + 2/7 - 6 = 13/7 - 42/7 = -29/7

-2/7k - 29/7 should be your answer

hope this helps

3 0
4 years ago
Which expression is equivalent to 9(-4b - 3)?<br> -4b - 27<br> -36b - 27<br> -27b - 36<br> -36b - 3
jenyasd209 [6]
The simple answer to your question is -36b-27
3 0
3 years ago
Read 2 more answers
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