Maria solved the equation -5 1/8 n = -9 3/4. Here answer was n = 1 37/41. She is fairly confindent about her answer, but wants to do a quick

Question

Maria solved the equation -5 1/8 n = -9 3/4. Here answer was n = 1 37/41. She is fairly confindent about her answer, but wants to do a quick check of her solution using estimation.

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3 days 2021-10-11T22:45:07+00:00 2 Answers 0

Answers ( )

    0
    2021-10-11T22:46:31+00:00

    Answer:

    Yes, she is correct.

    Step-by-step explanation:

    Given equation,

    -5\frac{1}{8}n = -9\frac{3}{4}

    (-5-\frac{1}{8})n=-9-\frac{3}{4}

    \frac{(-40-1)n}{8}=\frac{-36-3}{4}

    -\frac{41}{8}n =-\frac{39}{4}

    -41\times 4n = -39\times 8

    \implies n =\frac{39\times 2}{41}=\frac{78}{41}=1\frac{37}{41}

    By estimation :

    Since, 1/8 = 0.125 ≈ 0, while, 3/4 = 0.75 ≈ 1

    -5\frac{1}{8}\approx -5

    And, -9\frac{3}{4}\approx -10

    -5n = -10\implies n =\frac{-10}{-5}=2

    Since, 1\frac{37}{41} is near to 2.

    Hence, she is correct.

    0
    2021-10-11T22:46:41+00:00

    Answer: -5(2) = -10

    Step-by-step explanation:

    You wanted a rounded answer so just round the numbers and simplify

    Hope this helps!

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