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Sav [38]
3 years ago
12

Shelby found a tree branch that was 8 feet long.She chopped it into smaller pieces.If she wanted the wood pieces to be each have

6 inches long,how many pieces can she cut?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0

16 pieces is the answer because, there is 12 in cues in one foot. So you take 12 and 8, multiply to get 96. Finally you need to divide by 6 and get 16

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A fair coin was flipped 50 times. It landed on heads 29 times.
faust18 [17]

Answer:

21/50, 42%

Step-by-step explanation:

The total times the coin was flipped is 50 and the number of times it landed on tails is 50-29=21. So we need to divide 21 by 50, which gives us 42%.

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Write the equation of the graphed circle.
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2 years ago
How to solve -4{1-2x}-1=7x
mina [271]

Answer:

<h2>x = 5</h2>

Step-by-step explanation:

-4(1-2x)-1=7x\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-4)(1)+(-4)(-2x)-1=7x\\\\-4+8x-1=7x\qquad\text{combine like terms}\\\\8x+(-4-1)=7x\\\\8x-5=7x\qquad\text{add 5 to both sides}\\\\8x-5+5=7x+5\\\\8x=7x+5\qquad\text{subtract}\ 7x\ \text{from both sides}\\\\8x-7x=7x-7x+5\\\\x=5

7 0
3 years ago
Read 2 more answers
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
Help I need this done fast!
wolverine [178]
B

Sorry if I’m wrong...
5 0
3 years ago
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