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kudzordzifrancis
ANSWER

The correct answer is [tex]-26[/tex]

EXPLANATION

The expression given to us is,

[tex]\frac{5}{6}( \frac{1}{2}x+ 6)-3x[/tex]

We plug in [tex]x=12[/tex]. That means we substitute 12 wherever we see x to obtain,

[tex]\frac{5}{6}( \frac{1}{2}\times 12+ 6)-3\times 12[/tex]

We simplify the parenthesis first to obtain,

[tex]=\frac{5}{6}( 6+ 6)-36[/tex]

[tex]=\frac{5}{6}( 12)-36[/tex]

[tex]=5\times 2-36[/tex]

[tex]=10-36[/tex]

[tex]=-26[/tex]

Hence the expression evaluates to [tex]=-26[/tex]
alinakincsem

Answer:

-26

Step-by-step explanation:

We are given an expression [tex]\frac{5}{6} (\frac{1}{2} x+6)-3x[/tex] and we are to find its value when x is equal to 12.

So we will substitute 12 in place of x and solve it to get:

[tex]\frac{5}{6} (\frac{1}{2} x+6)-3x[/tex]

[tex]=\frac{5}{6} (\frac{1}{2} *12+6)-3(12)[/tex]

Solving inside the brackets first:

[tex]=\frac{5}{6} (6+6)-36[/tex]

[tex]=\frac{5}{6} (12)-36[/tex]

[tex]=5*2-36[/tex]

[tex]=-26[/tex]

Therefore, the value of the given expression when x is equal to 12 is -26.

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