Question

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

Answer 1

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 given:

\[ \text{Total Earnings} = 21a + 12.50d, \]

where \( a \) is the number of hours worked as an aerobics instructor and \( d \) is the number of hours worked at the donut shop.

Substituting in Manny's hours:

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

Now plug the values into the equation:

\[ \text{Total Earnings} = 21(4) + 12.50(8). \]

Calculating each part:

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

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

Now, add the two amounts together:

\[
84 + 100 = 184.
\]

So, Manny will earn **$184** working 4 hours as an aerobics instructor and 8 hours at the donut shop.

Answer 2

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

Answer 3

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)

Answer 4

Factor the expression completely.

45x−18y+36