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].
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].