College

Which algebraic expression is equivalent to the expression below?

[tex]15(8+3x)+19[/tex]

A. [tex]45x-139[/tex]
B. [tex]45x+101[/tex]
C. [tex]45x+139[/tex]
D. [tex]3x+139[/tex]

Answer :

Sure! Let's simplify the expression step-by-step:

We start with the expression:

[tex]\[ 15(8 + 3x) + 19 \][/tex]

1. Distribute the 15 inside the parentheses:

Multiply 15 by each term inside the parentheses:

[tex]\[
15 \times 8 + 15 \times 3x = 120 + 45x
\][/tex]

2. Add the constant 19 to the result:

Now, combine the constant terms:

[tex]\[
120 + 19 = 139
\][/tex]

So the expression now looks like:

[tex]\[
45x + 139
\][/tex]

Thus, the expression [tex]\( 15(8 + 3x) + 19 \)[/tex] simplifies to:

[tex]\[ 45x + 139 \][/tex]

Therefore, the algebraic expression equivalent to the given expression is option C. [tex]\( 45x + 139 \)[/tex].

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