Question

Use the properties of operations to add 9(k+1/3)+10(1/2k−1) .(1 point)
Responses

Answer 1

Use the properties of operations to add 4(g−2)+(g+2) .

Answer 2

Use the properties of operations to subtract (h+k)−(2k−h) .

Answer 3

Use the properties of operations to subtract (p−3)−(2.4+2p).

Answer 4

subtract:%C2%A02(k%E2%88%924)%E2%88%923(2k%E2%88%921)

Answer 5

I really hope your right bot 🤖

Answer 6

To simplify the expression \( 9\left(k + \frac{1}{3}\right) + 10\left(\frac{1}{2}k - 1\right) \), we can use the distributive property to expand each term, and then combine like terms.

1. Distribute \(9\) and \(10\):

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

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

2. Now combine the results from both distributions:

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

3. Combine the like terms (\(9k\) and \(5k\), as well as the constants \(3\) and \(-10\)):

\[
(9k + 5k) + (3 - 10) = 14k - 7
\]

Therefore, the simplified expression is:

\[
\boxed{14k - 7}
\]

Answer 7

To simplify the expression \( 4(g - 2) + (g + 2) \), we will use the distributive property and then combine like terms.

1. Distribute the \(4\) in the first term:

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

2. Now write the expression with the distributed term:

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

3. Distribute the parentheses in the second term:

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

4. Combine like terms (\(4g\) and \(g\), as well as \(-8\) and \(2\)):

\[
(4g + g) + (-8 + 2) = 5g - 6
\]

Thus, the simplified expression is:

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

Answer 8

To simplify the expression \((h + k) - (2k - h)\), follow these steps:

1. Distribute the negative sign across the second parentheses:

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

2. Combine like terms:

- For \(h\) terms: \(h + h = 2h\)
- For \(k\) terms: \(k - 2k = -k\)

Putting it all together:

\[
2h - k
\]

Thus, the simplified expression is:

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

Answer 9

To simplify the expression \((p - 3) - (2.4 + 2p)\), we'll follow these steps:

1. Distribute the negative sign across the second parentheses:

\[
(p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p
\]

2. Combine like terms. Let's group \(p\) and \(-2p\), and \(-3\) and \(-2.4\):

- For the \(p\) terms: \(p - 2p = -p\)
- For the constant terms: \(-3 - 2.4 = -5.4\)

Now, putting it all together:

\[
-p - 5.4
\]

Thus, the simplified expression is:

\[
\boxed{-p - 5.4}
\]

Answer 10

It looks like your expression contains some symbols that didn't translate well, possibly due to encoding issues. However, I’ll try to interpret it as best as I can.

Assuming you meant to subtract \(2(k - 4) - 3(2k - 1)\), let's work through the calculation step by step.

1. **Distribute the coefficients:**

\[
2(k - 4) = 2k - 8
\]
\[
-3(2k - 1) = -3 \cdot 2k + 3 \cdot 1 = -6k + 3
\]

2. **Combine the results of the distribution:**

\[
2(k - 4) - 3(2k - 1) = (2k - 8) + (-6k + 3)
\]

3. **Combine like terms:**

- For \(k\) terms: \(2k - 6k = -4k\)
- For constant terms: \(-8 + 3 = -5\)

Putting it all together, we get:

\[
-4k - 5
\]

Thus, the simplified expression is:

\[
\boxed{-4k - 5}
\]

If I misinterpreted your input, please provide the correct expression, and I’ll be happy to help with that!

Answer 11

I appreciate your patience! If you have any doubts or if there's a specific part of the math problem you'd like me to clarify or double-check, feel free to ask. I'm here to assist you! If you have another expression to work on or any other questions, just let me know!