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AlekseyPX
3 years ago
11

1/5 of an even number is added to 2/3 of the next even number to obtain 88,find the even number.​

Mathematics
1 answer:
mariarad [96]3 years ago
7 0

Answer:

100

102

Step-by-step explanation:

Let the first even number be 2x

Let the next even number be 2x + 2

1/5 *(2x) + 2/3 (2x + 2) = 88

2/5 *x + 4/3 (x) + 4/3 = 88         Multiply by 15 to get rid of the fractions.

2*3 x + 20x + 20 = 88 * 15

6 x + 20x + 20 = 1320    

26x + 20 = 1320

26x = 1300

x = 1300/26

x = 50

2x = 100

2x + 2 = 102

1/5 * 100 = 20

2/3 * 102 = 34*2 = 68

20 + 68 = 88

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Answer:

293 packs is the maximum the store can sell.

Step-by-step explanation:

Determine the number of packs that can be made with 4 pairs of socks.

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We can't sell 0.25 pack (1 pair of socks), so drop that fraction to yield 293 full packs.  Donate the spare pair, so to speak, to the local IRS agent.

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2 years ago
The owner of a football team claims that the average attendance at games is over 523, and he is therefore justified in moving th
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Answer:

C) There is not sufficient evidence to support the claim that the mean attendance is greater than 523.

Step-by-step explanation:

Let μ be the the average attendance at games of the football team

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Null and alternative hypotheses are:

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The conclusion is failure to reject the null hypothesis.

This means that <em>test statistic</em> is lower than <em>critical value</em>.  Therefore it is not significant, there is no significant evidence to accept the <em>alternative</em> hypothesis.

That is no significant evidence that the average attendance at games of the football team is greater than 523.

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3 years ago
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Answer:

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Answer:

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