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Alex Ar [27]
3 years ago
13

Evaluate 3^-1 times (4 times 6) times 2^-3

Mathematics
2 answers:
Sergio [31]3 years ago
4 0

3^-1 * (4 *6) * 2^-3

1/3 * (24) * 1/8

1/24 * 24

1

Answer : 1

Vilka [71]3 years ago
3 0

<u>Answer:</u>

1

<u>Step-by-step explanation:</u>

3^-1 times (4 times 6) times 2^-3 can be written as:

3^{-1} . (4 × 6) . 2^{-3}

Now we can change the negative powers into positive powers by taking a reciprocal of that term to get:

\frac{1}{3} .  (4 × 6) . \frac{1}{2^{3} }

\frac{1}{3} . 24 . \frac{1}{8} = 1

The expression is simplified where the values in the fractions get cancelled by each other to give 1.

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A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing
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Step-by-step explanation:

Given that a solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol.

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As per the given diagram, the following facts are evident.

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Therefore, the sides are congruent by the theorem (SAS); side-angle-side, congruence.

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