What is the answer to e D/(e+D)=0.42 ?

The answer to e D/(e+D)=0.42 is D=(21e)/(50e-21)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

e D/(e+D)=0.42

e \frac{D}{e + D} = 0.42

D = \frac{21 e}{50 e - 21}

Decimal Notation

D = 0.49675 \dots

Solution steps

e \frac{D}{e + D} = 0.42

Simplify

e \frac{D}{e + D} : \frac{eD}{e + D}

\frac{eD}{e + D} = 0.42

Multiply both sides by

e + D

eD = 0.42 (e + D)

Multiply both sides by

100

eD \cdot 100 = 42 (e + D)

Expand

42 (e + D) : 42 e + 42 D

eD \cdot 100 = 42 e + 42 D

Move

42 D

to the left side

eD \cdot 100 - 42 D = 42 e

Factor

eD \cdot 100 - 42 D : 2 (50 e - 21) D

2 (50 e - 21) D = 42 e

Divide both sides by

2 (50 e - 21)

D = \frac{21 e}{50 e - 21}

Verify Solutions

Find undefined (singularity) points:

D = - e

Combine undefined points with solutions:

D = \frac{21 e}{50 e - 21}

\frac{v}{2} = \frac{8}{v}

54 \frac{m}{s} = \frac{km}{s}

\frac{1}{3 ( x + 1 )} = \frac{x + 1}{2}

\frac{6}{2 x} = 1

L, a = \frac{r}{2 L}

What is the answer to e D/(e+D)=0.42 ?
The answer to e D/(e+D)=0.42 is D=(21e)/(50e-21)