Is 7 1/5•49 7/5 equivalent to 49 2/10 • 7 1/5

1 answer:

7 0

We can calculated each one out :

7 1/5 x 49 7/5 = 36/5 x 252 / 5 = 9072 / 25
49 2/10 x 7 1/5 = 980 / 10 x 36/5 = 35280 / 50 = 3528 / 5

or a much simpler way is that because both multiplication has 7 1/5 so we only have to compare the other terms, and since 49 7/5 is not equal to 49 2/10 these are not equal. and i didnt notice that till now.

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How to solve 6x - 9 - 2 (1 - x) = x + 9

Likurg_2 [28]

$x = 2.857$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢ x = \frac{20}{7} \\ ⇢ x = 2.857$

${ \bf{ \underbrace{To\:verify:}}}$

$6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times( - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\ ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S$