8w – 16-20 + 7w - 11y - 4y Can someone show me how to do this step by step?
2 answers:
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The question is incomplete. Here is the complete question:
A contractor has two choices for billing a completed job.
· $500 flat rate, regardless of the number of hours worked
· $20 per hour worked
The graph shows the relationship between pay per hour and number of hours worked for both scenarios.
What is the solution to this system of equations, and what does it mean to the contractor?
A.The solution (0, 20) tells the contractor the minimum amount that can be charged.
B.The solution (0, 500) tells the contractor the maximum amount that can be charged.
C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
D.The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
Answer:
The graph is attached below.
C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
Step-by-step explanation:
As per the graph, the x-axis represents the number of hours worked and the y-axis represents the rate in dollars per hour.
The hourly rate is given as $20.
The solution to the given lines drawn on the graph is the point of intersection of the two curves.
As we observe from the graph, the point of intersection of the two curves is at (25,20). The point tells the contractor that when the hourly rate is $20, then the number of hours worked will be 25.
So, when the hourly rate is same for both the billings, then the number of hours worked will be 25.
Hence, the correct option is (C).
Answer:
6hours
Step-by-step explanation:
From the given information:
Suppose it took Karl x hours to retile her bathroom,
Then it will take Della 3 hours longer i.e (3+x) hours
If Della and Karl work together or will take them 2 hours
The objective is to determine how long it will take Delia to retile the bathroom alone?
∴
By cross multiplying, we have:
2(2x+3) = 3x+x²
4x + 6 = 3x + x²
3x + x² - 4x - 6
x² - x - 6 = 0
Using quadratic equation
x² -3x +2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x +2) (x - 3) = 0
x + 2 = 0 or x - 3 = 0
x = -2 or x = 3
Since we are concerned about the positive integer,
Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours