Jacqueline has two part-time jobs. She earns $15 per hour, l, working as a lab assistant, and $12 per hour, s, working as a cashier. This is modeled by 15l + 12s. Evaluate for l=5 and s=7 to find how much money Jacqueline will earn at her two jobs this week. (1 point)

Answer 1

To find how much money Jacqueline will earn at her two jobs this week, we substitute l=5 and s=7 into the expression 15l + 12s.

15(5) + 12(7)
= 75 + 84
= 159

Therefore, Jacqueline will earn $159 at her two jobs this week.

Answer 2

Simplify 5a - 8c + b + 3c - 9a + 6b

Answer 3

To simplify the expression 5a - 8c + b + 3c - 9a + 6b, we can combine like terms.

Combining the terms with the same variables:

(5a - 9a) + (-8c + 3c) + (b + 6b)

Simplifying:

-4a - 5c + 7b

Therefore, the simplified form of the expression 5a - 8c + b + 3c - 9a + 6b is -4a - 5c + 7b.

Answer 4

Simplify -3/4 + 3 - 5/6r - 6

Answer 5

To simplify the expression -3/4 + 3 - 5/6r - 6, we can combine like terms.

First, let's rewrite -3/4 as an equivalent fraction with a common denominator of 12:

-3/4 = -9/12

Now rewrite -5/6r as an equivalent fraction with a common denominator of 12:

-5/6r = -10/12r

Combining the terms:

-9/12 + 3 - 10/12r - 6

Now, let's simplify further by combining the like terms:

-9/12 - 10/12r + 3 - 6

-19/12 - 10/12r - 3

Now, let's combine the numerical terms and keep the variable term separate:

-22/12 - 10/12r

We can simplify this fraction by dividing the numerator and the denominator by the greatest common divisor, which in this case is 2:

-11/6 - 5/6r

Therefore, the simplified form of the expression -3/4 + 3 - 5/6r - 6 is -11/6 - 5/6r.