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Mashcka [7]
3 years ago
8

Four friends shared 1/2 of one carton of orange juice and 1/4 of another carton of apple juice. What fraction of each carton of

juice did each friend get?
Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer: 1/8 of the carton of orange juice and 1/16 of the carton of apple juice.

Step-by-step explanation:

If the fraction of the carton of orange juice that was shared by the four friends Is ½

Then, by assuming each friend had equal portion, the fraction of carton received by each friend =½ ÷ 4

= ⅛

Each friend had 1/8 of the orange juice

In the same vein, if the fracfion of the carton of apple juice shared by the 4 friends = ¼

Then the fraction that got to each friend = ¼÷4 = 1/16

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CaHeK987 [17]

Answer:

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5 0
1 year 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.

3 0
3 years ago
The minitab Stem and Leaf output that corresponds to a set of measurements is as follows: Stem?and?leaf of Survival N = 64 Leaf
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Step-by-step explanation:

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2 years ago
Henry had 2.5 lb of apples for a fruit salad. The recipe says that 5 lb of apples are needed for the salad. Henry went to the st
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<span> C. No, Henry did not get a reasonable amount of apples because he needed 2.5 more pounds of apples (2.5 + 2.5 = 5).

</span>
8 0
2 years ago
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