Sierra and Charlie are paid $12 per hour. However, this week Charlie received a $40 bonus. Given that S and C represent the number of hours worked by Sierra (S) and Charlie (C), which expression can be used to represent their combined earnings for this week?(1 point) Responses 12+40+SC 12 plus 40 plus cap s cap c 12S+12C+40 12 cap s plus 12 cap c plus 40 12+40+S+C 12 plus 40 plus cap s plus cap c 12SC+40
12S+12C+40
Simplify the expression: (2x + 2) − (3x + 11) =
To simplify the expression (2x + 2) − (3x + 11), we distribute the negative sign in front of the parentheses and simplify each term:
(2x + 2) − (3x + 11)
= 2x + 2 − 3x − 11 (distribute the negative sign)
= (2x − 3x) + (2 − 11) (combine like terms)
= -x - 9
Therefore, the simplified expression is -x - 9.
Simplify the expression: 6(3x−5)+2(3x−5)−8(3x−5)
To simplify the expression 6(3x−5)+2(3x−5)−8(3x−5), we can distribute the coefficients to each term within the parentheses:
6(3x−5) + 2(3x−5) − 8(3x−5)
= 18x - 30 + 6x - 10 - 24x + 40 (distribute)
= (18x + 6x - 24x) + (-30 - 10 + 40) (combine like terms)
= 0 -x
Therefore, the simplified expression is -x.
Which expression is equivalent to −5x−5x+3x−3x
The expression -5x - 5x + 3x - 3x can be simplified by combining like terms.
-5x - 5x + 3x - 3x = (-5 - 5 + 3 - 3)x
Simplifying further:
(-5 - 5 + 3 - 3)x = -4x
Therefore, the expression -5x - 5x + 3x - 3x is equivalent to -4x.
Simplify 4x+6(3x−2)
To solve the expression 4x + 6(3x−2), we can distribute the 6 to the terms inside the parentheses:
4x + 6(3x−2)
= 4x + 18x - 12 (distribute the 6)
= (4x + 18x) - 12 (combine like terms)
= 22x - 12
Therefore, the simplified expression is 22x - 12.