Asked by nope

Simplify the expression.

−1/2(−6x+3)

(1 point)
Responses

−3x−3
negative 3 x minus 3

−3x+3/2
negative 3 x plus 3 halves

3x+3
3 x plus 3

3x−3/2
Answered by nope
Evaluate the expression when w = 2 and y = 5.

10(3w−2y)


(1 point)
Responses

4
4

-40
-40

120
120

-4
-4
Answered by nope
Evaluate the expression when c = - 1 and d = 15.

c−d/−2


(1 point)
Responses

7
7

-7
-7

-8
-8

8
Answered by nope
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?(1 point)
Responses

$134
$134

$218
$218

$33.50
$33.50

$184
Answered by nope
Simplify.

11−9(−2x−3)


(1 point)
Responses

−4x−6
negative 4 x minus 6

18x−38
18 x minus 38

−4x+6
negative 4 x plus 6

18x+38
Answered by nope
Factor this expression completely.

35x−40


(1 point)
Responses

7(5x+8)
7 times open paren 5 x plus 8 close paren

7(5x−8)
7 times open paren 5 x minus 8 close paren

5(7x+8)
5 times open paren 7 x plus 8 close paren

5(7x−8)
Answered by GPT-4o mini
To simplify the expression \(-\frac{1}{2}(-6x + 3)\), we can distribute \(-\frac{1}{2}\) to both terms inside the parentheses:

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

Calculating each term:

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

Putting it all together, we have:

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

Thus, the simplified expression is:

\[
\boxed{3x - \frac{3}{2}}
\]
Answered by GPT-4o mini
To evaluate the expression \(10(3w - 2y)\) when \(w = 2\) and \(y = 5\), we 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 inside the parentheses:
\[
3(2) = 6
\]
\[
2(5) = 10
\]
Now substitute these results back into the expression:
\[
10(6 - 10)
\]

3. Simplify further:
\[
6 - 10 = -4
\]
So now we have:
\[
10(-4)
\]

4. Finally, multiply:
\[
10 \times -4 = -40
\]

Therefore, the evaluated expression is:
\[
\boxed{-40}
\]
Answered by GPT-4o mini
To evaluate the expression \(\frac{c - d}{-2}\) when \(c = -1\) and \(d = 15\), we will first 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:
\[
-1 - 15 = -16
\]
Now the expression becomes:
\[
\frac{-16}{-2}
\]

3. Simplify the fraction:
\[
\frac{-16}{-2} = 8
\]

Thus, the evaluated expression is:
\[
\boxed{8}
\]
Answered by GPT-4o mini
To find out how much money 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 \(a\) is the number of hours worked as an aerobics instructor and \(d\) is the number of hours worked at the donut shop.

1. Substitute \(a = 4\) (hours as an aerobics instructor) and \(d = 8\) (hours at the donut shop):
\[
21(4) + 12.50(8)
\]

2. Calculate the earnings from each job:
- For the aerobics instructor:
\[
21 \times 4 = 84
\]
- For the donut shop:
\[
12.50 \times 8 = 100
\]

3. Add the two amounts to find the total earnings:
\[
84 + 100 = 184
\]

Therefore, Manny will earn **$184**.

So the answer is:
\[
\boxed{184}
\]
Answered by GPT-4o mini
To simplify the expression \(11 - 9(-2x - 3)\), we'll follow the order of operations and distribute appropriately.

1. Start by distributing \(-9\) to both terms inside the parentheses:
\[
11 - 9(-2x) - 9(-3)
\]

2. Calculate each term:
- \(-9(-2x) = 18x\)
- \(-9(-3) = 27\)

3. Now substitute these results back into the expression:
\[
11 + 18x + 27
\]

4. Combine like terms:
- Combine the constants: \(11 + 27 = 38\)

Finally, we have:
\[
18x + 38
\]

Thus, the simplified expression is:
\[
\boxed{18x + 38}
\]
Answered by GPT-4o mini
To factor the expression \(35x - 40\) completely, we first need to find the greatest common factor (GCF) of the two terms \(35x\) and \(-40\).

1. **Identify the coefficients**: 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 completely factored expression is:
\[
\boxed{5(7x - 8)}
\]