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o-na [289]
3 years ago
11

A butcher has 10 3/4 pounds of ground beef that will be priced at 3.40 dollars per pound. He divides the meat into 8 equal packa

ges. To the nearest cent, what will be the price of each package? Explain how you know your answer is reasonable.
Mathematics
2 answers:
spin [16.1K]3 years ago
8 0
Well we know that 10 and 3/4 is equivalent to 10.75.  If we divide the meat into 8 equal packages we have to divide 10.75 by 8.  Dividing 10.75 by 8 gives us 1.34375 pounds of meat per package.  If we take that, and multiply it by our given value of $3.40 per pound, we end up getting $4.57 a package.
Kamila [148]3 years ago
8 0

Answer: The price of each package will be <u>$4.57</u> or <u>4 dollars and 57 cents</u>

Step-by-step explanation:

Given

Total butcher has total ground beef of mass , m=10\frac{3}{4}pounds=10.75pounds

Price of beef , P = 3.40 dollars per pound

Thus the price of 10.75 pounds of beef ,

P_t=m\times P=\$ 10.75\times 3.40=\$ 36.55

Now the whole amount of beef is divided into 8 equal packets

Therefore price of each packet is given by

P_1=\frac{P_t}{8}=\$ \frac{36.55}{8}

=>P_1=\$ 4.57

Thus the price of each package will be <u>$4.57</u> or <u>4 dollars and 57 cents</u>

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Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys
il63 [147K]

Answer:

a)  P(x)=-0.042x^2+530x-18000

b)  P'(x)=-0.084x+530

c)

P'(4000)=194

P'(9500)=-268

Step-by-step explanation:

a)

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000

This is the profit function.

b)

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

\frac{d}{dx}(x^n)=nx^{n-1}

Now, we differentiate the profit function to get the marginal profit function (P'):

P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530

This is the marginal profit function , P'.

c)

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194

and

P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268

6 0
3 years ago
Which unit would be most appropriate to measure the
Effectus [21]

Answer:

measure the length of the area.and the width of the area. using feet

5 0
3 years ago
The value of the digit 8 in this number is 8 the value of the digit 7 in this number is not 700
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It got to be 800 or something
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How many years would it take for a person in the united states to eat 855 pounds of apples
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It would take 30 years


4 0
3 years ago
The difference between two numbers is 7. The sum of twice the larger number and three times the smaller number is 19.
Alex17521 [72]

Answer:

x= 8   y= 1

Step-by-step explanation:

First, you identify your variables:

x= larger number

y= smaller number

Second, you find your equations:

x - y = 7

2x + 3y = 19

Third, (I used the substitution method) you make "y" by itself for the 1st equation.

y = x - 7

2x + 3y = 19

Then, you plug in the 1st equation for "y" in the 2nd equation

2x + 3(x - 7) = 19

Then, you distribute and simplify.

2x + 3x - 21 = 19

5x - 21 = 19

5x = 40

x = 8

Finally, you plug in the variable you found ( x ) into one of the equations and solve,

8 - y = 7

- y = -1

y = 1

6 0
2 years ago
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