The first mechanic worked for 10 hours and the second mechanic worked for 15 hours.
Step-by-step explanation:
Given,
Charges of first mechanic = $95 per hour
Charges of second mechanic = $115 per hour
Total hours = 25
Total amount charged = $2675
Let,
The number of hours worked by first mechanic = x
The number of hours worked by second mechanic = y
According to given statement;
x+y=25 Eqn 1
95x+115y=2675 Eqn 2
Multiplying Eqn 1 by 95

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 20

Putting y=15 in Eqn 1

The first mechanic worked for 10 hours and the second mechanic worked for 15 hours.
Keywords: linear equation, elimination method
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Answer:
x=1
Step-by-step explanation:
Answer: 11/23
Step-by-step explanation:
I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.
Answer:
The area of the sector is 25.1327 cm²
Step-by-step explanation:
The area of a sector of circunference delimited by an angle in radians can be calculated by using the formula below:
area = (angle*r²)/2
area = [(4*pi/9)*(6)²]/2
area = [(4*pi/9)*36]/2
area = (144*pi/9)/2
area = 144*pi/18
area = 8*pi
area = 25.1327 cm²
The area of the sector is 25.1327 cm²