Write an expression that is equivalent to two over three (4x + 9).


eight over three x + 6


eight over three x + 9


two over three x + 6


two over three x + 9

Verified Answer :

eight over three x+6.

Answer:

eight over three x + 6

Step-by-step explanation:

Let's rewrite the original equation as:

\(\frac{2}{3}*(4x+9)\)

Operate the equation using distributive propierty:

\(\frac{8x+18}{3}\)

Remember:

\(\frac{a+b}{c} =\frac{a}{c} +\frac{b}{c}\)

Hence:

\(\frac{8x+18}{3}=\frac{8x}{3} +\frac{18}{3} =\frac{8}{3}x +6\)

Finally we can conclude that \(\frac{8}{3}x +6\) is equal to "eight over three x + 6"