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asambeis [7]
2 years ago
13

Solve x − 5y = 6 for x.

Mathematics
1 answer:
pentagon [3]2 years ago
8 0

Answer:

All real numbers

Step-by-step explanation:

Solve a system of equations by elimination

With the equation given, you can solve for y to get: y = \frac{1}{5}x - \frac{6}{5}

Then, substitute this value in on the equation.

x - 5(\frac{1}{5}x - \frac{6}{5}) = 6

x - x + 6 = 6

6 = 6

The solution is all real numbers

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The word geometry has eight letters. three letters are chosen at random. what is the probability that two consonants and one vow
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Answer:

0.536 is the required probability.

Step-by-step explanation:

 We have been given the word the word "GEOMETRY"

we have to find the probability that two consonants and one vowel are chosen:

Number of consonants are: 5

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Hence, The required probability is: \frac{^5C_2\cdot ^3C_1}{^8C_3}

Using: ^nC_r=\frac{n!}{(r!)(n-r)!}

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Simplifying the above expression:

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Further simplification after cancelling out the common terms we get:

\Rightarrow \frac{30}{56}=\frac{15}{28}=0.5357=0.536

Hence, Option 1 is correct.


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