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vagabundo [1.1K]
3 years ago
7

Which value is a solution of the inequalityx∕5 + 2 ≤ 6?

Mathematics
2 answers:
avanturin [10]3 years ago
6 0

Answer:

B

Step-by-step explanation

the answer comes to x\leq 20 and 15 is the only answer below 20

Burka [1]3 years ago
5 0

Answer:

B. x = 15

Step-by-step explanation:

  1. Firstly we simplify the inequality, so we have x on the left side, and every number on the right side
  2. \frac{x}{5}+2\leq 6\\ \frac{x}{5}+2-(2)\leq 6-(2) so we take away 2 on both sides
  3. \frac{x}{5}\leq 4 now this is the same as \frac{1}{5}*x\leq 4
  4. Now we multiply by 5 on both sides
  5. 5*\frac{1}{5}*x\leq 5*4 which is \frac{5}{5}*x \leq 20 which is simply x \leq 20 since 5 divide by 5 is 1 and 1 times x is x
  6. So the inequality x \leq 20 means "<em>every number for x that is less than or equal to 20</em>"
  7. Now from the list, the only number that fits is 15. So that's our answer
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Step-by-step explanation:

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3 years ago
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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
2(4+2x)≥5x+5 solve inequality
valkas [14]

Answer:

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Step-by-step explanation:

2(4+2x)≥5x+5

8+4x≥5x+5

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2 years ago
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Answer:

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Step-by-step explanation:

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1. When there are two events that need to happen, we must multiply the probability of each event happening.

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5/8 × 2/7 = 10/56 = 5/28

There's a 5/28 chance of Shawn losing to Mike and Tim.

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Hope this helps!
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