What is the answer to (101000+1000*9.8*40)*2*10^{-5}=x*277 ?

The answer to (101000+1000*9.8*40)*2*10^{-5}=x*277 is x= 493/13850

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(101000+10009.840)210^{-5}=x*277

(101000 + 1000 \cdot 9.8 \cdot 40) \cdot 2 \cdot 1 0^{- 5} = x \cdot 277

x = \frac{493}{13850}

Decimal Notation

x = 0.03559 \dots

Solution steps

(101000 + 1000 \cdot 9.8 \cdot 40) \cdot 2 \cdot 1 0^{- 5} = x \cdot 277

Switch sides

x \cdot 277 = (101000 + 1000 \cdot 9.8 \cdot 40) \cdot 2 \cdot 1 0^{- 5}

Simplify

(101000 + 1000 \cdot 9.8 \cdot 40) \cdot 2 \cdot 1 0^{- 5} : \frac{493}{50}

x \cdot 277 = \frac{493}{50}

Divide both sides by

277

x = \frac{493}{13850}

- 5 - 4

x^{2} - x - 6 x - 3

(x + 8)^{2} + 14 (x + 8) + 48 = 0

x^{2} + 14 = 9 x

\frac{x - 5}{3} - \frac{x + 1}{4} = 5

What is the answer to (101000+1000*9.8*40)*2*10^{-5}=x*277 ?
The answer to (101000+1000*9.8*40)*2*10^{-5}=x*277 is x= 493/13850
Solve for x: (101000+1000*9.8*40)*2*10^{-5}=x*277
The solution is x= 493/13850