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.

Answer 1

To find how much money Jacqueline will earn at her two jobs this week, we need to substitute the given values of l and s into the expression 15l+12s:
15(5) + 12(7)
= 75 + 84
= 159
So Jacqueline will earn $159 at her two jobs this week. Answer: \boxed{159}.

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.

Grouping the terms with the same variable together, we have:
(5a - 9a) + (-8c + 3c) + (b + 6b)

Simplifying each group, we have:
-4a - 5c + 7b

So the simplified expression is -4a - 5c + 7b. Answer: \boxed{-4a - 5c + 7b}.

Answer 4

Simplify −3/4r + 3 − 5/6r − 6 .

Answer 5

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

Grouping the terms with the same variable together, we have:
(-3/4r - 5/6r) + (3 - 6)

To combine the fractions, we need a common denominator. The common denominator of 4 and 6 is 12.

Converting the fractions to have a denominator of 12:
(-9/12r - 10/12r) + (3 - 6)

Combining like terms in the first group:
(-19/12r) + (3 - 6)

Simplifying the second group:
(-19/12r) - 3

So the simplified expression is -19/12r - 3. Answer: \boxed{-19/12r - 3}.

Answer 6

Expand 8(3p + 2) .

Answer 7

To expand 8(3p + 2), we distribute the 8 to each term inside the parentheses:

8 * 3p + 8 * 2

This gives us:

24p + 16

So the expanded form of 8(3p + 2) is 24p + 16. Answer: \boxed{24p + 16}.

Answer 8

Expand −4(6a − 5) .(

Answer 9

To expand -4(6a - 5), we need to distribute the -4 to each term inside the parentheses:

-4 * 6a + (-4) * (-5)

This gives us:

-24a + 20

So the expanded form of -4(6a - 5) is -24a + 20. Answer: \boxed{-24a + 20}.