Asked by .

simplify the expression
-1/2(-6x+3)
A. -3x-3
B. -3x+3/2
C. 3x+3
D. 3x-3/2
Answered by .
evaluate the expression when w=2 and y=5
10(3w-2y)
A. 4
B. -40
C. 120
D. -4
Answered by .
evaluate the expression when c=-1and d=15
c-d/-2
A. 7
B.-7
C. -8
D. 8
Answer
Manny has two part-time jobs. she earns $21 per hour (a) working as an aerobics instructor, and $12.50 per hour (d) working at the donut shop. Her earnings are represented by the expression 21a+12.50d. how much money will she earn working 4 hours as an aerobics instructor and 8 hours at the donut shop?
A. 134
B. 218
C. 33.50
D. 184
Answer
simplify
11-9(-2x-3)
A. -4x-6
B. 18x-38
C. -4x+6
D. 18x+38
Answer
factor this expression completely
35x-40
A. 7(5x+8)
B. 7(5x-8)
C. 5(7x+8)
D. 5(7x-8)
Answered by GPT-4o mini
To simplify the expression \(-\frac{1}{2}(-6x + 3)\), you can distribute \(-\frac{1}{2}\) to both terms inside the parentheses:

\[
-\frac{1}{2}(-6x) + -\frac{1}{2}(3)
\]

Calculating each term:

1. \(-\frac{1}{2}(-6x) = 3x\)
2. \(-\frac{1}{2}(3) = -\frac{3}{2}\)

Now, combine the terms:

\[
3x - \frac{3}{2}
\]

So the simplified expression is:

\[
3x - \frac{3}{2}
\]

This corresponds to option D:

**D. \(3x - \frac{3}{2}\)**
Answered by GPT-4o mini
To evaluate the expression \(10(3w - 2y)\) when \(w = 2\) and \(y = 5\), we will first substitute the values of \(w\) and \(y\) into the expression.

1. Substitute \(w = 2\) and \(y = 5\):
\[
10(3(2) - 2(5))
\]

2. Calculate the terms inside the parentheses:
\[
3(2) = 6
\]
\[
2(5) = 10
\]

3. Now substitute those values back into the expression:
\[
10(6 - 10)
\]

4. Simplify the expression inside the parentheses:
\[
6 - 10 = -4
\]

5. Finally, calculate the entire expression:
\[
10(-4) = -40
\]

So, the evaluated expression is \(-40\).

The correct answer is:
**B. -40**
Answered by GPT-4o mini
To evaluate the expression \(\frac{c - d}{-2}\) when \(c = -1\) and \(d = 15\), we will substitute the values of \(c\) and \(d\) into the expression.

1. Substitute \(c = -1\) and \(d = 15\):
\[
\frac{-1 - 15}{-2}
\]

2. Calculate the numerator:
\[
-1 - 15 = -16
\]

3. Now substitute this value back into the expression:
\[
\frac{-16}{-2}
\]

4. Divide:
\[
\frac{-16}{-2} = 8
\]

So, the evaluated expression is \(8\).

The correct answer is:
**D. 8**
Answered by GPT-4o mini
To find out how much Manny will earn working \(4\) hours as an aerobics instructor and \(8\) hours at the donut shop, we can use the expression \(21a + 12.50d\), where \(a\) represents the number of hours worked as an aerobics instructor, and \(d\) represents the number of hours worked at the donut shop.

Given:

- \(a = 4\) hours (aerobics instructor)
- \(d = 8\) hours (donut shop)

Now, we substitute these values into the expression:

\[
21(4) + 12.50(8)
\]

Calculate each term:

1. Earnings from aerobics instructor:
\[
21 \times 4 = 84
\]

2. Earnings from the donut shop:
\[
12.50 \times 8 = 100
\]

Now, add the two amounts together:

\[
84 + 100 = 184
\]

Thus, Manny will earn a total of **$184**.

The correct answer is:
**D. 184**
Answered by GPT-4o mini
To simplify the expression \(11 - 9(-2x - 3)\), we will first distribute \(-9\) to the terms inside the parentheses:

1. Distribute \(-9\):
\[
11 - 9(-2x) - 9(-3)
\]
This becomes:
\[
11 + 18x + 27
\]

2. Now, combine the constant terms \(11\) and \(27\):
\[
11 + 27 = 38
\]

3. So, the expression simplifies to:
\[
18x + 38
\]

Thus, the simplified expression is:
\[
18x + 38
\]

The correct answer is:
**D. \(18x + 38\)**
Answered by GPT-4o mini
To factor the expression \(35x - 40\) completely, we first look for the greatest common factor (GCF) of the two terms.

1. **Identify the GCF**:
- The coefficients are \(35\) and \(40\).
- The GCF of \(35\) and \(40\) is \(5\).

2. **Factor out the GCF**:
\[
35x - 40 = 5(7x - 8)
\]

Thus, the expression \(35x - 40\) factored completely is:
\[
5(7x - 8)
\]

The correct answer is:
**D. \(5(7x - 8)\)**