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steposvetlana [31]
3 years ago
7

The function for the cost of materials to make a muffin is f(x) = Three fourths x + 3, where x is the number of muffins. The fun

ction for the selling price of those muffins is g(f(x)), where g(x) = 3x + 4. Find the selling price of 20 muffins.
Mathematics
1 answer:
velikii [3]3 years ago
8 0
(3x+4)(x+3)
(3x20)(20+3)
(60)(23)
1380
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A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
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<u>Information:</u>

Fixed Cost = $32,634
Variable Cost = $8.75 per book.
Selling Price = $24.50 per book.

<u>Define x:</u>

Let x be the number of books sold.

<u>Construct Equation:</u>

For production cost to be equal auto money from sales:
⇒ 24.5x = 32634 + 8.75x 

<u>Solve x:
</u>
24.5x = 32634 + 8.75x 

Take away 8.75x from both sides:
15.75x = 32634

Divide both sides by 15.75:
x = 2072

Answer: The publisher must sell 2072 books.
6 0
3 years ago
Find the mistake <br> 3(x-6)+(4x+12)-6x=<br> 3x-9+4x+12-6x=<br> (3x+4x-6x)+(-9+12)=<br> x+3
uysha [10]
The mistake is there is no parenthesis around 4x+12
7 0
3 years ago
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Integral of x sqrt(36+x^2) when x = 6tan theta
vova2212 [387]

(36+{x}^{2})x=6
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3 0
3 years ago
The two lines graphed on the coordinate grid each represent an
shusha [124]

9514 1404 393

Answer:

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Step-by-step explanation:

The point where the lines cross is the solution to both equations. That point is in the third quadrant, where both coordinate values are negative.

The x-coordinate of the point is listed first, so the solution is ...

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7 0
3 years ago
Help pleasee
Mnenie [13.5K]
Let x be the amount of cement and y be the amount of sand. If <span>the ratio of cement to sand for mortar is 1:3, then \frac{x}{y} = \frac{1}{3} and y=3x.
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So, if <span>Sandy puts in x=7 shovels of cement, then she puts y=3\cdot 7=21 shovels of sand.
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</span><span>Answer: 21 shovels of sand.
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6 0
4 years ago
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