What is the answer to (6(40-a))/(5000)= a/(2000) ?

The answer to (6(40-a))/(5000)= a/(2000) is a= 480/17

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(6(40-a))/(5000)= a/(2000)

\frac{6 ( 40 - a )}{5000} = \frac{a}{2000}

a = \frac{480}{17}

Decimal Notation

a = 28.23529 \dots

Solution steps

\frac{6 ( 40 - a )}{5000} = \frac{a}{2000}

Multiply both sides by

1000

\frac{6 ( - a + 40 )}{5} = \frac{a}{2}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

6 (- a + 40) \cdot 2 = 5 a

Simplify

12 (- a + 40) = 5 a

Expand

12 (- a + 40) : - 12 a + 480

- 12 a + 480 = 5 a

Move

480

to the right side

- 12 a = 5 a - 480

Move

5 a

to the left side

- 17 a = - 480

Divide both sides by

- 17

a = \frac{480}{17}

\frac{3}{5} + \frac{4}{6}

ln (\frac{y}{x})

x^{2} + x - 0.01 = 0

2 x^{4} + 22 x^{3} + 56 x^{2}

m^{3} - 64

What is the answer to (6(40-a))/(5000)= a/(2000) ?
The answer to (6(40-a))/(5000)= a/(2000) is a= 480/17
Solve for a: (6(40-a))/(5000)= a/(2000)
The solution is a= 480/17