What is the answer to 80=(100x+70)/(40+x)0.4 ?

The answer to 80=(100x+70)/(40+x)0.4 is x=-793/10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

80=(100x+70)/(40+x)0.4

80 = \frac{100 x + 70}{40 + x} 0.4

x = - \frac{793}{10}

Decimal Notation

x = - 79.3

Solution steps

80 = \frac{100 x + 70}{40 + x} \cdot 0.4

Simplify

\frac{100 x + 70}{40 + x} \cdot 0.4 : \frac{0.4 ( 100 x + 70 )}{40 + x}

80 = \frac{0.4 ( 100 x + 70 )}{40 + x}

Multiply both sides by

40 + x

80 (40 + x) = 0.4 (100 x + 70)

Multiply both sides by

10

800 (40 + x) = 4 (100 x + 70)

Expand

800 (40 + x) : 32000 + 800 x

Expand

4 (100 x + 70) : 400 x + 280

32000 + 800 x = 400 x + 280

Move

32000

to the right side

800 x = 400 x - 31720

Move

400 x

to the left side

400 x = - 31720

Divide both sides by

400

x = - \frac{793}{10}

Verify Solutions

Find undefined (singularity) points:

x = - 40

Combine undefined points with solutions:

x = - \frac{793}{10}

- \frac{x}{( 0.01 x ^{2} + 1 ) ^{2}} = 0

y, \frac{x}{x + y} - 2 y = 0

2 + \frac{4}{x ^{2} - 3 x - 6} = 0

\frac{x}{10} = \frac{2.5}{x}

\frac{20}{3 m} = 2 - \frac{4}{3 m}

What is the answer to 80=(100x+70)/(40+x)0.4 ?
The answer to 80=(100x+70)/(40+x)0.4 is x=-793/10
Solve for x: 80=(100x+70)/(40+x)0.4
The solution is x=-793/10