Answered

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Trent tried to solve an equation.

[tex]\[
\frac{g}{3}=\frac{4}{3}
\][/tex]
[tex]\[
\frac{g}{3} \cdot 3=\frac{4}{3} \cdot \frac{1}{3}
\][/tex]

Setting up:
[tex]\[
g=\frac{4}{9}
\][/tex]

Calculating:

Where did Trent make his first mistake?

Choose 1 answer:
A. Setting up
B. Calculating
C. Trent correctly solved the equation.

Sagot :

GinnyAnswer
Let's go through the solution step by step to identify where Trent made his mistake.

1. Original Equation:
[tex]\[ \frac{g}{3} = \frac{4}{3} \][/tex]

2. Isolating [tex]\( g \)[/tex]:
To solve for [tex]\( g \)[/tex], we need to isolate it on one side of the equation. We can do this by multiplying both sides by 3:
[tex]\[ \frac{g}{3} \cdot 3 = \frac{4}{3} \cdot 3 \][/tex]

3. Simplifying:
When we multiply both sides by 3:
[tex]\[ g = \frac{4}{3} \cdot 3 \][/tex]

4. Calculating the right side:
Simplify the right side:
[tex]\[ g = 4 \][/tex]

So, the correctly simplified equation reveals that [tex]\( g = 4 \)[/tex].

Now let's see where Trent went wrong:
- Trent stated: [tex]\( \frac{g}{3} \cdot 3 = \frac{4}{3} \cdot \frac{1}{3} \)[/tex]
- This is incorrect because the right side should multiply by 3, not [tex]\( \frac{1}{3} \)[/tex].

Thus, Trent's mistake occurred in Setting up the equation incorrectly when he multiplied the right side:

(A) Setting up
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