Question

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

Answer 1

Answer:

Proportion states that the two fractions or ratios are equal

Given the equation:  $\frac{1.5}{4x+1} = \frac{0.4}{x+4}$

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;

$x = \frac{5.6}{0.1}$

Simplify:

x = 56

Therefore, the value of x that satisfy the equation $\frac{1.5}{4x+1} = \frac{0.4}{x+4}$ is, 56