Solve by the multiplication of equality 5/49*x = 20/7

1 answer:

7 0

5/49(x) = 20/7
5x/49 = 20/7
5x/49 × 49 = 20/7 × 49
5x = 140
5x / 5 = 140 / 5
x = 28

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Answer: Choice D. $6.44 \times 10^{-4}$

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Work Shown:

We multiply the coefficients 9.2 and 7 to get 64.4, which is the same as 6.44*10^1 in scientific notation. When multiplying exponential expressions with the same base, we add the exponents

This is what the steps could look like

$\left(9.2 \times 10^{-9}\right)\times\left(7 \times 10^{4}\right)\\\\\left(9.2\times7\right)\times\left(10^{-9} \times 10^{4}\right)\\\\\left(64.4\right)\times\left(10^{-9+4}\right)\\\\\left(6.44\times 10^{1}\right)\times\left(10^{-5}\right)\\\\6.44\times\left(10^{1}\times 10^{-5}\right)\\\\6.44\times\left(10^{1+(-5)}\right)\\\\6.44\times 10^{-4}\\\\$