18. s = 5r^2 + 7......making r the subject
s - 7 = 5r^2
(s - 7) / 5 = r^2...by taking the sqrt of both sides, it eliminates the ^2
( sqrt (s-7)/5) = r
19. h = ut - 1/2gt^2....u = 100, t = 1 4/5(or 9/5)...g = 6.4
h = (100)(9/5) - 1/2(6.4)(9/5^2)
h = 180 - 1/2(6.4)(3.24)
h = 180 - 3.2(3.24)
h = 180 - 10.368
h = 169.632 or 169 79/125
20. sorry..do not know this one
The discount was 85% off.
12+6x was subtracted from the left but only 12 was subtracted from the right.
6x and 6 are not equal unless x=1
X=-11/15
Answer:
$95 per hour
Step-by-step explanation:
The total of charges is the sum of the cost of labor and the cost of parts. The cost of labor is the product of hours (5) and the cost per hour (x). Then the equation for total cost is ...
total cost = parts cost + hours cost
651 = 176 + 5x
475 = 5x . . . . . . . subtract 176
95 = x . . . . . . . . . divide by 5
The cost of labor per hour is $95.
Answer:
£103.70
Step-by-step explanation:
Payment per hour = £8.50
Overtime payment = 1.4 × 8.50
= £11.90
Ben worked for 11 hours.
Normal time = 8 hours
Overtime = 3 hours
Total earnings = (8 hours × 8.50) + (3 hours × 11.90)
= £68 + £35.7
= £103.70
Ben earned £103.70 for working for 11 hours