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.
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}.
Simplify 5a − 8c + b + 3c −9a + 6b .(
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}.
Simplify −3/4r + 3 − 5/6r − 6 .
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}.
Expand 8(3p + 2) .
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}.
Expand −4(6a − 5) .(
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}.