Question 6 Answered

Let's go through each question that you mentioned and provide the answers.

**Question 6: Which expression is equivalent to 4 - 2(5 - x)?**

To solve this, distribute the -2:

\[
4 - 2(5 - x) = 4 - 10 + 2x = -6 + 2x = 2x - 6
\]

So the correct option is:
**2x - 6**

---

**Question 12: Find the value of h in the equation -4(5h + 7) + 16h = 40**

First, distribute -4:

\[
-20h - 28 + 16h = 40
\]

Combine like terms:

\[
-4h - 28 = 40
\]

Add 28 to both sides:

\[
-4h = 68
\]

Divide by -4:

\[
h = -17
\]

So the correct answer is:
**h = -17**

---

**Question 13: Describe the error and solve correctly for x.**

Without the specific equation in question, I can only provide you with a general method. It seems like the options you provided are stating likely errors. In the case of distributing incorrectly, here's what you would check:

If the equation was \( -5(x + 1) = ax + b \), the correct distribution would be \( -5x - 5 \). Check if that was done correctly, and then proceed to solve for \( x \).

Based on the choices, if they did not distribute correctly, then:
**x = 1; They did not correctly distribute the -5 to both terms in (x + 1)** would likely be correct if that matches the context.

---

**Question 14: Find the value of a in the equation 16 - 5a + 2a - 1 = 41 -

Combine like terms:

\[
15 - 3a = 41 - a
\]

Add \( a \) to both sides:

\[
15 - 2a = 41
\]

Subtract 15 from both sides:

\[
-2a = 26
\]

Divide by -2:

\[
a = -13
\]

So the correct answer is:
**a = -13**

---

**Question 16: What can you replace the ? with for infinite solutions?**

For an equation to have infinite solutions, both sides must be equal in a way that any \( a \) would make the equation true. The expression you provided is \( 2(4 - a) = ? \). The left side is \( 8 - 2a \).

To make both sides equal, you could just substitute \( 8 - 2a \) for ?.

So the correct option is:
**4** since both are offset by a factor that doesn’t affect the equality.

---

**Question 18: Find the value of p in the equation -13 + 12p - 4 = 6(2p - 1)**

First, simplify:

\[
-17 + 12p = 12p - 6
\]

Subtract \( 12p \) from both sides:

\[
-17 = -6
\]

This is impossible, so there is no solution.

So, the answer is:
**No Solution**

---

**Question 19: Ella is selling a dozen cookies for $4. She had to pay $20 for ingredients. How much will she earn if she sells 12 dozen cookies?**

First, calculate the revenue from selling 12 dozen cookies:

Price per dozen = $4, hence for 12 dozen:
\[
12 \times 4 = 48
\]

Now subtract the cost of ingredients:
\[
$48 - $20 = $28
\]

So the answer is:
**$28**

If you have any more questions or need further assistance, feel free to ask!