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natka813 [3]
3 years ago
10

Which of the following is the quotient of the rational expressions shown below?

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

The correct answer is option B.

(4x + 8)/(5x - 5)

Step-by-step explanation:

It is given an expression in variable x

2x/(x - 1) ÷ 5x/(2x + 4)

<u>To find the correct option</u>

2x/(x - 1) ÷ 5x(2x + 4) = 2x/(x - 1) *  (2x + 4)/5x

 = 2x/(x - 1) * 2(x +2)/5x

 = [2x * 2 * (x + 2)]/[(x - 1)5x]

 = 4(x +2)/5(x - 1)

 = 4x + 8)/(5x - 5)

The correct answer is option B.

(4x + 8)/(5x - 5)

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Answer:

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3 years ago
A single gram of a certain metallic substance has 0.52 g of copper and 0.25 g of zinc the remaining portion of the substance is
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Ben's estimate gives 7 g of nickel; the actual amount is 8.03 g.

In 1 g of the substance, there is 0.52 g of copper and 0.25 g of zinc; this gives 
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The remaining part of the substance is nickel:
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Using Ben's estimate, 0.2 g of nickel per gram of substance, we have
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A duck flew at 18 miles per hour for 3 hours,
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5 0
2 years ago
A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 d
azamat

Answer:

<h2>32/1125</h2>

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome.

If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.

If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;

Probability of selecting 2 comedies  = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).

Probability of selecting 1 action movie = 6/15 = 2/5

<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>

<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>

8 0
3 years ago
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