When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?

1 answer:

3 0

Answer:

Multiply each side by −5, add 25 to each side

Step-by-step explanation:

-1/5(x-25) = 7

Multiply each side by -5/1 to clear the fraction

-5/1* -1/5(x-25) = 7*-5/1

x-25 = -35

Then add 25 to each side

x-25+25 = -35+25

x = -10

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If $\frac{6}{10}$ is multiplied with a fraction less than 1, out of the given options $\frac{1}{2}$ would be the answer.

Explanation:

First, we need to determine what a fraction lesser than 1 is. If the numerator is lesser than the denominator, the fraction will be lesser than 1 whereas if the denominator is higher than the numerator is would equal more than 1.
If $\frac{6}{10}$ is multiplied with 1, we get the value $\frac{6}{10}$ . Since the fraction must be lesser than 1, $\frac{6}{10}$ cannot be an answer. So option 1 cannot be the answer.
The value of $\frac{6}{10}$ is 0.6. If it is multiplied with any value lesser than 1, the resulting value cannot be higher than the value of 0.6. The value of the fraction $\frac{3}{2}$ is 1.5 and the value of 5 are both greater than 0.6. So the third and fourth options cannot be the answer. So $\frac{1}{2}$ is the answer.