Answer :

Sure! Let's work through the problem step by step.

We are given the expression:

[tex]\[ 5x - 29.4 + \frac{1}{2}x \][/tex]

and we need to evaluate it when [tex]\( x = 5 \)[/tex].

Step 1: Substitute the value of [tex]\( x \)[/tex] into the expression.

[tex]\[ 5(5) - 29.4 + \frac{1}{2}(5) \][/tex]

Step 2: Calculate each part of the expression.

- Calculate [tex]\( 5 \times 5 \)[/tex]:
[tex]\[ 5 \times 5 = 25 \][/tex]

- Calculate [tex]\(\frac{1}{2} \times 5\)[/tex]:
[tex]\[ \frac{1}{2} \times 5 = 2.5 \][/tex]

So the expression now is:

[tex]\[ 25 - 29.4 + 2.5 \][/tex]

Step 3: Simplify the expression.

- First, calculate [tex]\( 25 - 29.4 \)[/tex]:
[tex]\[ 25 - 29.4 = -4.4 \][/tex]

- Then add [tex]\( 2.5 \)[/tex] to [tex]\(-4.4\)[/tex]:
[tex]\[ -4.4 + 2.5 = -1.9 \][/tex]

So, the value of the expression when [tex]\( x = 5 \)[/tex] is [tex]\(-1.9\)[/tex].

Therefore, the correct answer is [tex]\(-1.9\)[/tex].

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