A plumber charges $50 for every house call and an additional $70 for each hour of work. For one house call yesterday, the plumber earned $435.
Which equation can be solved to find the number of hours the plumber worked on the house call?
A. 435 = 70x+50
B. 435 = (50 + 70)x
C. 435 (x + 70) + 50
D. 435 = 50x + 70
The correct equation is A. 435 = 70x+50.
In the equation, x represents the number of hours worked by the plumber.
The plumber charges $70 for each hour of work and $50 for the house call. Since the plumber earned $435 in total, we can set up the equation:
$435 = $70x + $50.
This equation can be solved to find the number of hours (x) that the plumber worked.
Which of the following is the simplified version of 3 (x + 5) - 6x = 23?
A. -3x + 5 = 23
B. -3x + 15 = 23
C. -15x + 15 = 23
D. -9x + 15 = 23
To simplify the equation 3(x + 5) - 6x = 23, we need to apply the distributive property by multiplying 3 with each term inside the parentheses:
3(x + 5) - 6x = 23
3x + 15 - 6x = 23
Next, we can combine like terms by subtracting 6x from 3x:
-3x + 15 = 23
Therefore, the simplified version of the equation is A. -3x + 15 = 23.
Christian got a haircut yesterday afternoon. If the hair stylist charged $18 and Christian gave a 20% tip, how much did he pay for the haircut?
A.
$3.60
B.
$14.40
C.
$21.60
D.
$22.60
The cost of the haircut is $18. To calculate the tip, we multiply the cost of the haircut by the tip percentage, which is 20% or 0.20.
Tip amount = $18 * 0.20 = $3.60
To find the total amount Christian paid for the haircut, we add the cost of the haircut and the tip amount:
Total amount = $18 + $3.60 = $21.60
Therefore, Christian paid $21.60 for the haircut.
Thus, the correct answer is C. $21.60.