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butalik [34]
3 years ago
14

What is a distributive property of 72 divided by 4

Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer:

\frac{72}{4}=18

Step-by-step explanation:

To find : What is a distributive property of 72 divided by 4 ?

Solution :

The distributive property of division is given by,

\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}

We have to divide 72 by 4,

So, Re-write 72 as 60+12.

Substitute,

\frac{72}{4}=\frac{60+12}{4}

\frac{72}{4}=\frac{60}{4}+\frac{12}{4}

\frac{72}{4}=15+3

\frac{72}{4}=18

Therefore, \frac{72}{4}=18

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Answer:

150%  change

Step-by-step explanation:

Formula for Percent change =  C =[ (new - old)/ old ]* 100%

C =  [ (25 in. - 10 in.) / 10 in. ] = [15/10 ] * 100% = 150 %

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3 years ago
One quarter of Steve's baseball cards are from his dad's collection. Another 0.2 are from his uncle , and 0.5 are from his broth
irina [24]
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Step-by-step explanation:

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8 0
2 years ago
QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
Harman [31]

Answer:

(a)Revenue function, R(x)=580x-x^2

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit,P(x)=-35x^2+280x-900

(d)x=4

Step-by-step explanation:

<u>Part A </u>

Price Function= 580 - 10x

The revenue function

R(x)=x\cdot (580-10x)\\R(x)=580x-x^2

The marginal revenue function

\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x

<u>Part B </u>

<u>(Fixed Cost)</u>

The total cost function of the company is given by c=(30+5x)^2

We expand the expression

(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2

Therefore, the fixed cost is 900 .

<u> Marginal Cost Function</u>

If  c=900+300x+25x^2

Marginal Cost Function, \frac{dc}{dx}= (900+300x+25x^2)'=300+50x

<u>Part C </u>

<u>Profit Function </u>

Profit=Revenue -Total cost

580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900

<u> Part D </u>

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4

The number of cakes that maximizes profit is 4.

6 0
2 years ago
4 What is the slope of the line represented by the<br> table of values below?
Kobotan [32]

Answer:

(c) or 10 is the answer

Step-by-step explanation:

In order to find slope you have to follow the formula

(y2-y1) / (x2-x1)

That would give you the slope which in this case is 10.

8 0
2 years ago
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