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Nimfa-mama [501]
3 years ago
5

1. Find the product. Your answer should be in simplest form.

Mathematics
1 answer:
svp [43]3 years ago
3 0

Answer:

1) 24

2) 21/2 = 10 1/2

3) 2/5

Step-by-step explanation:

1) We have 2 2/3 * 9, to solve this we have to know that in multiplications we multiply the numerator from the first fraction times the numerator from the second fraction, and the denominators are multiplied too.

We also know that 2 2/3 = 8/3, because we multiply 2 times the denominator and then we add that result plus the numerator.

So now we have:

8/3 * 9 = 72/3 = 24

2) We do the same thing than in problem 1.

We have -4 1/2 * -2 1/3, so first we change them:

-4 1/2 = -9/2 and -2 1/3 = -7/3, so we have:

-9/2 * -7/3 = 63/6 = 21/2 = 10 1/2

3) We have 1/3 ÷ 5/6, to divide we can flip the second fraction and just solve it as a multiplication:

1/3 * 6/5 = 6/15 = 2/5

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For what values of a is the value of the binomial 2a−1 smaller than the value of the binomial 7−1.2a by 7?
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ANSWER

a =  \frac{5}{16}

EXPLANATION

We want to find the value of a for which the binomial, 2a-1 is smaller than the value of the binomial 7-1.2a by 7.

This means that, when we subtract 2a-1 from 7-1.2a, we should get 7.

7 - 1.2a - (2a - 1) = 7

Expand:

7 - 1.2a - 2a  + 1= 7

Group similar terms:

- 1.2a - 2a = 7 - 7 - 1

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Divide both sides by -3.2,

a =  \frac{ - 1}{ - 3.2}

a =  \frac{5}{16}

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