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vesna_86 [32]
4 years ago
6

Which expression represents the phrase, "one fifth the sum of 14 and a number"?

Mathematics
2 answers:
Whitepunk [10]4 years ago
7 0
1/5(14 + x) 
That's the answer buddy. I just took the test.

Ivan4 years ago
7 0

Let

x--------> the number

we know that

1) the phrase, "the sum of 14 and a number"

represent the expression --------> (14+x)

and

2) the complete phrase, "one fifth the sum of 14 and a number"

represent the expression --------> \frac{1}{5}(14+x)

therefore

<u>the answer is</u>

\frac{1}{5}(14+x)

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The perimeter of a rectangle is 120 inches. The length is 10 more than the width. Find the length and width
OLga [1]

The formula of a perimeter of a rectangle:

P=2(l+w)

We have:

P=120\ in\\\\l=w+10

Substitute

2(w+10+w)=120\\\\2(2w+10)=120\ \ \ \ |:2\\\\2w+10=60\ \ \ \ |-10\\\\2w=50\ \ \ \ |:2\\\\w=25\\\\l=25+10=35

<h3>Answer: Length = 35 in, Width = 25 in.</h3>
4 0
3 years ago
If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price
Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

P = 170 - Q

The Marginal cost is given by

MC = 52

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2

The Marginal revenue is the derivative of the Total revenue,

MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\

Assuming that the monopolist maximizes profits,

MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59

Therefore, the quantity is 59 units.

The price of each good is

P = 170 - Q \\\\P = 170 - 59 \\\\P = 111

Therefore, the price is $111.

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4 years ago
How much can 14 go into 16
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Step-by-step explanation:

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