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4 years ago

10

Duane is making cookies. The recipe calls for two times as many cups of sugar as butter, two times as many cups of oats as sugar

, and two times as many cups of flour as oats. If Duane puts in one cup of butter, how many cups of flour does he need to add?

1 answer:

Tamiku [17]4 years ago

6 0

Answer:

6.0

Step-by-step explanation:

: (2.0+(2.0+2.0)) = 6.0

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16) The revenue (in thousands of dollars) from producing x units of an item is modeled by

lyudmila [28]

Answer:

Part 16) The marginal revenue is $4,000

Part 17) The marginal average cost function is (70x+41)

Step-by-step explanation:

Part 16) we know that

The marginal revenue function is simply the derivative of the revenue function

we have

$R(x)=5x-0.0005x^{2}$

Find $\frac{dR(x)}{dx}$

$R'(x)=5-0.001x$

For x=1,000 units

substitute

$R'(x)=5-0.001(1,000)$

$R'(x)=5-1=\$4$

Remember that the units is in thousands of dollars

therefore

The marginal revenue is $4,000

Part 17) we know that

The marginal average cost function is simply the derivative of the average cost function

we have

$C(x)=(5x+3)(7x+4)$

Applying the distributive property

$C(x)=35x^2+20x+21x+12$

$C(x)=35x^2+41x+12$

Find the derivative

$C'(x)=70x+41$

therefore

The marginal average cost function is (70x+41)

6 0

3 years ago

No work needed, just the answer.

kolezko [41]

Answer:

466,666

Step-by-step explanation:

5 0

3 years ago

Edurado started a business selling sporting goods.He spent $ 7500 to obtain hos merchandise , and it cost him $300 per week for

Alik [6]

Answer:

C) It will take 14 weeks for Edurado to make a profit.

Step-by-step explanation:

The money spent on obtaining the merchandise = $ 7500

The general expense per week = $300

Let us assume Eduardo has to work for N weeks to break Even.

So, the general expense in N weeks = N x( Expense per week)

= N x ( $300) = 300 N

So, the total expense in N weeks = Money spent on merchandise + general expense

or, the TOTAL EXPENSE = $ 7500 + 300 N .... (1)

Now, the earning per week = $850

So, the total earning in N weeks = N x ( Earning in 1 week) = N x ( $850)

or, the TOTAL EARNING = 850 N .... (2)

Now, for N weeks ,

TOTAL EXPENSE = TOTAL EARNING

⇒ $7500 + 300 N = 850 N

or, 7500 = 850 N - 300 N = 550 N

⇒ N = 7500/550 = 13.63

So, number of weeks should at least be 13.63

Among the given options, N = 14 weeks is the most feasible answer.

Hence, it will take 14 weeks for Edurado to make a profit.

5 0

3 years ago

If p → q is true, then ~ p → ~ q is __________ true. always sometimes never

Yuliya22 [10]

Answer:

The correct answer is Never

6 0

3 years ago

luis owns an assortment of hats. the ratio of winter hats to baseball hats is 2:3. if luis owns a total of 20 hats, how many win

dybincka [34]

<h3>Answer: 8 winter hats</h3>

Explanation:

x = number of winter hats

20-x = number of baseball hats

Dividing those quantities will get us 2/3 because of the ratio 2:3

x/(20-x) = 2/3

3x = 2(20-x)

3x = 40-2x

3x+2x = 40

5x = 40

x = 40/5

x = 8

There are 8 winter hats

And there are 20-x = 20-8 = 12 baseball hats.

The ratio 8:12 reduces to 2:3 after dividing both parts by 4. This helps confirm the answer.

4 0

2 years ago