Respuesta :

gmany

[tex] \dfrac{x}{-\frac{4}{7}}=40\\\\x\cdot\left(-\dfrac{7}{4}\right)=40\\\\-\dfrac{7}{4}x=40\ \ \ \ |\cdot(-4)\\\\7x=-160\ \ \ |:7\\\\x=-\dfrac{160}{7}\\\\x=-22\dfrac{6}{7} [/tex]

Answer:

The value of x is [tex]-22\frac{6}{7}[/tex]

Step-by-step explanation:

we need  to solve value for x of the expression:

[tex]40=\frac{x}{\frac{-4}{7}}[/tex]

Multiply both the sides by [tex]\frac{-4}{7}[/tex]

[tex]\frac{-4}{7}\times40=\frac{-4}{7}\times \frac{x}{\frac{-4}{7}}[/tex]

Simplify,

[tex]\frac{-160}{7}=x[/tex]

[tex]x=-22\frac{6}{7}[/tex]

Hence, the value of x is [tex]-22\frac{6}{7}[/tex]