Question

1.5/4x+1=0.4/x+4 PLEASE HELP ITS PROPORTIONS

Answer 1

Proportion states that the two fractions or ratios are equal

Given the equation:
`(1.5)/(4x+1) = (0.4)/(x+4)`

By cross multiply we get;

`1.5(x+4) = 0.4(4x+1)`

Using distributive property;
`a\cdot (b+c) = a\cdot b+ a\cdot c`

`1.5x + 6= 1.6x + 0.4`

Subtract 0.4 from both sides we get;

`1.5x +5.6= 1.6x`

Subtract 1.5x from both sides we get;

`5.6= 0.1x`

Divide both sides by 0.1 we get;

`x = (5.6)/(0.1)`

Simplify:

x = 56

Therefore, the value of x that satisfy the equation
`(1.5)/(4x+1) = (0.4)/(x+4)` is, 56