The sum of 8 and a number divided by 3 equals 6. Find the number.(1 point) Responses 6 6 −2/3 negative 2 thirds -6 -6 52 abc or d

5 answers

Let's represent the unknown number as \( x \). According to the problem, the equation can be set up as follows:

\[ \frac{8 + x}{3} = 6 \]

Now, to solve for \( x \), we first multiply both sides by 3 to eliminate the fraction:

\[ 8 + x = 18 \]

Next, we isolate \( x \) by subtracting 8 from both sides:

\[ x = 18 - 8 \]

\[ x = 10 \]

So, the number is \( 10 \). However, since this option is not listed in your responses (6, -2/3, -6), I suggest double-checking the provided answers.

uh wait so -2/3 or -6 or 6

Let's check the equation again step by step to see what the correct answer is.

You provided the equation:

\[ \frac{8 + x}{3} = 6 \]

To solve for \( x \), follow these steps:

  1. Multiply both sides by 3: \[ 8 + x = 18 \]

  2. Subtract 8 from both sides: \[ x = 18 - 8 \]

  3. Therefore: \[ x = 10 \]

Since we've derived a value of \( x = 10 \) but it is not one of your choices, let's consider if your original equation was misinterpreted.

If you meant something different, for instance, if we misunderstood the math expression or if the value should have been set to something else. Based on your mentioned options (6, -2/3, -6), none are correct based on the derived value from the scenario supplied.

Please confirm if you're looking for a specific equation, or if there's a potential miscalculation in the choices given.

pls just choose one the one that is the closest the the "actual correct answer"

Given the options you provided (6, -2/3, -6), the value we calculated for \( x \) is 10, but since 10 is not one of the options, we should choose the one that is the closest.

Among the options you provided, 6 is the closest to 10.

So, I would choose 6 as the closest answer.