What is the answer to (10k+9k)/(380)+(10k+pi/(20))/(200+pi)=6 ?

The answer to (10k+9k)/(380)+(10k+pi/(20))/(200+pi)=6 is k=(119pi+24000)/(pi+400)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(10k+9k)/(380)+(10k+pi/(20))/(200+pi)=6

\frac{10 k + 9 k}{380} + \frac{10 k + \frac{π}{20}}{200 + π} = 6

k = \frac{119 π + 24000}{π + 400}

Decimal Notation

k = 60.45977 \dots

Solution steps

\frac{10 k + 9 k}{380} + \frac{10 k + \frac{π}{20}}{200 + π} = 6

\frac{10 k + 9 k}{380} = \frac{k}{20}

\frac{k}{20} + \frac{10 k + \frac{π}{20}}{200 + π} = 6

Multiply by LCM

(π + 200) k + 20 (10 k + \frac{π}{20}) = 120 (π + 200)

Expand

k (π + 200) : πk + 200 k

πk + 200 k + 20 (10 k + \frac{π}{20}) = 120 (π + 200)

Expand

20 (10 k + \frac{π}{20}) : 200 k + π

πk + 200 k + 200 k + π = 120 (π + 200)

Add similar elements:

200 k + 200 k = 400 k

πk + 400 k + π = 120 (π + 200)

Expand

120 (π + 200) : 120 π + 24000

πk + 400 k + π = 120 π + 24000

Move

π

to the right side

πk + 400 k = 119 π + 24000

Factor

πk + 400 k : (π + 400) k

(π + 400) k = 119 π + 24000

Divide both sides by

π + 400

k = \frac{119 π + 24000}{π + 400}

5 x + 9 - 3 x = 18 + 15

- 0.5 x + 3 = 4

lo g_{32} (16) = \frac{4}{5}

x, y - 1 = - \frac{3}{4} (x + 3)

2 - y - 7 = 4

What is the answer to (10k+9k)/(380)+(10k+pi/(20))/(200+pi)=6 ?
The answer to (10k+9k)/(380)+(10k+pi/(20))/(200+pi)=6 is k=(119pi+24000)/(pi+400)