Asked by lovely

Use the properties of operations to add 9(k+13)+10(12k−1) .(1 point)
Responses

Answered by lovely
9(k+1/3)+10(1/2k−1) .
Answered by lovely
how to ask out your crush
Answered by lovely
Use the properties of operations to add 4(g−2)+(g+2) .(1 point)
Responses

5g+10
5 g plus 10

5g−6
5 g minus 6

5g
5 g

5g−10
Answered by lovely
Use the properties of operations to subtract (h+k)−(2k−h) .(1 point)
Responses

−2h−k
negative 2 h minus k

2h−k
2 h minus k

−k
negative k

2h+k
2 h plus k
Answered by GPT-4o mini
To simplify the expression \( 9(k+13) + 10(12k-1) \) using the properties of operations, we can distribute and combine like terms. Here are the steps:

1. Distribute \( 9 \) and \( 10 \) to the terms in the parentheses:

\[
9(k+13) = 9k + 117
\]

\[
10(12k-1) = 120k - 10
\]

2. Combine the results from the distributions:

\[
9k + 117 + 120k - 10
\]

3. Combine like terms (the \( k \) terms and the constant terms):

- Combine \( 9k \) and \( 120k \):

\[
9k + 120k = 129k
\]

- Combine \( 117 \) and \( -10 \):

\[
117 - 10 = 107
\]

4. Adding these results together, we get:

\[
129k + 107
\]

Thus, the simplified expression is:

\[
\boxed{129k + 107}
\]
Answered by GPT-4o mini
To simplify the expression \( 9\left(k + \frac{1}{3}\right) + 10\left(\frac{1}{2}k - 1\right) \), we'll distribute and then combine like terms. Here are the steps:

1. **Distribute** \( 9 \) and \( 10 \) to the terms in the parentheses:

\[
9\left(k + \frac{1}{3}\right) = 9k + 9 \cdot \frac{1}{3} = 9k + 3
\]

\[
10\left(\frac{1}{2}k - 1\right) = 10 \cdot \frac{1}{2}k - 10 \cdot 1 = 5k - 10
\]

2. **Combine** the results from the distributions:

\[
9k + 3 + 5k - 10
\]

3. **Combine like terms** (the \( k \) terms and the constant terms):

- Combine \( 9k \) and \( 5k \):

\[
9k + 5k = 14k
\]

- Combine \( 3 \) and \( -10 \):

\[
3 - 10 = -7
\]

4. Adding these results together, we get:

\[
14k - 7
\]

Thus, the simplified expression is:

\[
\boxed{14k - 7}
\]
Answered by GPT-4o mini
Asking out your crush can be nerve-wracking, but here are some steps to help you approach it in a more relaxed and confident way:

### 1. **Gauge Interest:**
- Before asking them out, try to notice if they seem interested in you. Look for signs like engaging in conversation, making eye contact, or smiling at you.

### 2. **Choose the Right Setting:**
- Find a comfortable and private setting where you can talk without distractions. This could be after a class, during a break, or when you're both hanging out with friends.

### 3. **Be Confident and Relaxed:**
- Take a deep breath and remind yourself to be calm. Confidence can make a big difference.

### 4. **Keep it Simple:**
- You don’t need a grand gesture. A straightforward approach is usually best. You could say something like:
- "Hey, I really enjoy spending time with you. Would you like to grab coffee or see a movie together sometime?"

### 5. **Be Honest:**
- If you're comfortable, you can express your feelings:
- "I've had a crush on you for a while, and I think we would have a great time together. Would you want to go out sometime?"

### 6. **Be Prepared for Any Response:**
- Understand that they might say yes, no, or need some time to think about it. If they say no, try to take it gracefully and maintain your composure.

### 7. **Plan the Details:**
- If they agree, talk about when and where to go, and make sure it’s something both of you enjoy.

### 8. **Follow Up:**
- If you don’t hang out right away, continue to engage in friendly conversation and build your connection.

### Bonus Tips:
- **Be yourself:** Don’t try to be someone you’re not.
- **Use humor:** Light-heartedness can ease tension.
- **Body language:** Maintain open and positive body language.

Remember, the key is to be genuine and respectful. Good luck!
Answered by GPT-4o mini
To simplify the expression \( 4(g - 2) + (g + 2) \) using the properties of operations, we can distribute and combine like terms. Here are the steps:

1. **Distribute** \( 4 \) to the terms in the first parentheses:

\[
4(g - 2) = 4g - 8
\]

2. **Combine** this with the second expression:

\[
(g + 2) = g + 2
\]

3. **Now add them together:**

\[
4g - 8 + g + 2
\]

4. **Combine like terms:**

- Combine the \( g \) terms:
\[
4g + g = 5g
\]

- Combine the constant terms:
\[
-8 + 2 = -6
\]

5. **Final result:**

\[
5g - 6
\]

Thus, the simplified expression is:

\[
\boxed{5g - 6}
\]

The correct answer from your provided responses is **5g−6** (5 g minus 6).
Answered by GPT-4o mini
To simplify the expression \((h + k) - (2k - h)\), we will follow the steps below:

1. **Distribute the negative sign** in front of the second parentheses:

\[
(h + k) - (2k - h) = (h + k) - 2k + h
\]

This simplifies to:

\[
h + k - 2k + h
\]

2. **Combine like terms**:

- For the \( h \) terms:
\[
h + h = 2h
\]

- For the \( k \) terms:
\[
k - 2k = -k
\]

3. **Putting it all together** gives us:

\[
2h - k
\]

Thus, the simplified expression is:

\[
\boxed{2h - k}
\]

The correct answer from your provided responses is **2h−k** (2 h minus k).