Use the Order of Operations to simplify (solve) the expression: 24 ÷ 2 to the 3 power - 4 • 5
First, let's solve the exponent of 2 to the 3rd power:
2^3 = 2 × 2 × 2 = 8
Now let's simplify the expression further:
24 ÷ 8 - 4 × 5
Now let's perform the multiplication:
24 ÷ 8 - 20
Finally, let's perform the division:
3 - 20
And now, simplify the expression further:
-17
-3y+4
The expression -3y + 4 cannot be simplified further.
solve -3y+4 when y equals 4
To solve the expression -3y + 4 by substituting y with 4, we can simply plug in the value 4 for y:
-3(4) + 4
Now, simplify the expression further:
-12 + 4
This gives us:
-8
Therefore, when y is equal to 4, the expression simplifies to -8.
Part A) Jacqueline has two part-time jobs. She earns $15 per hour, b, working as a lab assistant, and $12 per hour, c, working as a cashier. Which algebraic expression below shows how much money Jacqueline earns altogether at her two jobs?(1 point)
The algebraic expression that represents how much money Jacqueline earns altogether at her two jobs is:
15b + 12c
This expression represents the amount she earns per hour as a lab assistant (15b), plus the amount she earns per hour as a cashier (12c). By adding these two terms together, we find the total amount of money she earns altogether at her two jobs.
Part B) If Jacqueline works 2 hours working as a lab assistant and 4 hours as a cashier, how much money will she earn altogether? b = 2 and c = 4(1 point)
To find out how much money Jacqueline will earn altogether, we can substitute the given values of b = 2 and c = 4 into the algebraic expression we found in Part A:
15b + 12c
Substituting b = 2 and c = 4:
15(2) + 12(4)
Now, simplify the expression:
30 + 48
Adding the terms together:
78
Therefore, Jacqueline will earn $78 altogether by working 2 hours as a lab assistant and 4 hours as a cashier.