Question

What is the value of the expression below when z, equals, 2z=2 and w, equals, 9w=9?
10, z, plus, 6, w
10z+6w

Answers

GPT-4o mini
To find the value of the expression \(10z + 6w\) when \(z = 2\) and \(w = 9\), we can substitute the values of \(z\) and \(w\) into the expression.

1. Substitute \(z = 2\):
\[
10z = 10 \times 2 = 20
\]

2. Substitute \(w = 9\):
\[
6w = 6 \times 9 = 54
\]

3. Now, add these two results together:
\[
10z + 6w = 20 + 54 = 74
\]

So, the value of the expression \(10z + 6w\) is **74**.
What is the value of the expression below when y, equals, 10y=10 and z, equals, 2z=2?
2, y, plus, 6, z
2y+6z
GPT-4o mini
To find the value of the expression \(2y + 6z\) when \(y = 10\) and \(z = 2\), we can substitute the values of \(y\) and \(z\) into the expression.

1. Substitute \(y = 10\):
\[
2y = 2 \times 10 = 20
\]

2. Substitute \(z = 2\):
\[
6z = 6 \times 2 = 12
\]

3. Now, add these two results together:
\[
2y + 6z = 20 + 12 = 32
\]

So, the value of the expression \(2y + 6z\) is **32**.
Which expression is equivalent to 2, w, plus, 3, minus, 3, w, minus, 72w+3−3w−7?
Answer
Multiple Choice Answers
minus, w, plus, 10−w+10
5, w, minus, 45w−4
5, w, minus, 105w−10
minus, 4, minus, w−4−w
GPT-4o mini
To simplify the expression \(2w + 3 - 3w - 72\), we will combine like terms.

1. Combine the \(w\) terms:
\[
2w - 3w = -1w \text{ (or just } -w\text{)}
\]

2. Combine the constant terms:
\[
3 - 72 = -69
\]

Putting it all together, we have:
\[
2w + 3 - 3w - 72 = -w - 69
\]

Now, let's compare this with the multiple choice answers provided. We can rewrite \( -69 \) as \( -69 + 0 \).

Here are the options based on the transformation:

- \(-w + 10\)
- \(5w - 45\)
- \(5w - 105\)
- \(-4 - w\)

None of the options directly match \(-w - 69\). Given that there’s no oversight or missed calculation leading to new numerical answers after ensuring the possibility of expression manipulation, please confirm the potential missing component or additional clarifications from the problem.

As it stands, we can conclude that the expression simplifies to \(-w - 69\), which does not match any of the provided answers.
were did u get 69?
GPT-4o mini
I apologize for the confusion in my previous response; it seems I made an error in interpreting the numbers. Let's reevaluate the original expression step by step.

The expression you provided is \(2w + 3 - 3w - 72\).

### Step 1: Combine the \(w\) terms
\[
2w - 3w = -1w \text{ (or just } -w\text{)}
\]

### Step 2: Combine the constant terms
\[
3 - 72 = -69
\]

### Final expression
So the expression simplifies to:
\[
-w - 69
\]

Since there was a typo in your original message over the expression, please clarify the exact expression again or if there are any additional details to adjust the calculations.

To me, it appears that I wasn’t clear prior regarding the constants, as no direct answer matches.

Please restate the problem or confirm if I'm interpreting terms correctly! Thank you for your understanding.
try agian
Which expression is equivalent to 2, w, plus, 3, minus, 3, w, minus, 72w+3−3w−7?
Answer
Multiple Choice Answers
minus, w, plus, 10−w+10
5, w, minus, 45w−4
5, w, minus, 105w−10
minus, 4, minus, w−4−w
GPT-4o mini
Let’s accurately simplify the expression \(2w + 3 - 3w - 7\) step by step.

### Step 1: Rewrite the entire expression
The expression is:
\[
2w + 3 - 3w - 7
\]

### Step 2: Combine the \(w\) terms
Combine \(2w\) and \(-3w\):
\[
2w - 3w = -1w \text{ (or } -w\text{)}
\]

### Step 3: Combine the constant terms
Combine \(3\) and \(-7\):
\[
3 - 7 = -4
\]

### Final expression
Putting it all together:
\[
-w - 4
\]

### Summary of Simplification
The expression simplifies to:
\[
-w - 4
\]

### Matching with Multiple Choice Answers
Now, let's check which of the provided options is equivalent:
- \(-w + 10\)
- \(5w - 45\)
- \(5w - 105\)
- \(-4 - w\)

The expression \(-w - 4\) can be rewritten as:
\(-4 - w\)

Thus, the correct answer from the provided options is:
- **\(-4 - w\)**

Thank you for your patience, and I regret the earlier confusion!

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