Answer:
i think the answer is a to be honest
Step-by-step explanation:
Answer:
350
Step-by-step explanation:
Answer:
The answer is 12 hours.
Step-by-step explanation:
If she completes 1/4 of a page in an hour completing one page will take her 4 hours after that you multiply it by 3 and get the total of 12 hours that is takes for her to do her homework
For this case, the first thing we are going to do is define variables.
We have then:
x: number of hours it takes Homer to finish work alone.
They worked together for 3 hours until Homer had to go home:
![3 \frac{1}{x} + 3 \frac{1}{x-1}](https://tex.z-dn.net/?f=3%20%20%5Cfrac%7B1%7D%7Bx%7D%20%2B%203%20%20%5Cfrac%7B1%7D%7Bx-1%7D)
Mike finished the job working by himself in an additional 5 hours:
![3 \frac{1}{x} + 3 \frac{1}{x-1} + 5 \frac{1}{x-1} = 1 ](https://tex.z-dn.net/?f=3%20%20%5Cfrac%7B1%7D%7Bx%7D%20%2B%203%20%20%5Cfrac%7B1%7D%7Bx-1%7D%20%2B%205%20%5Cfrac%7B1%7D%7Bx-1%7D%20%3D%201%0A%0A%0A)
From here, we must clear the value of x.
We then have to multiply both sides by x (x-1):
![3 (x-1) + 3x + 5x = x (x-1) ](https://tex.z-dn.net/?f=3%20%28x-1%29%20%2B%203x%20%2B%205x%20%3D%20x%20%28x-1%29%0A)
Rewriting we have:
![3x - 3 + 3x + 5x = x ^ 2 - x x ^ 2 - 12x + 3 = 0](https://tex.z-dn.net/?f=3x%20-%203%20%2B%203x%20%2B%205x%20%3D%20x%20%5E%202%20-%20x%0A%0A%20x%20%5E%202%20-%2012x%20%2B%203%20%3D%200)
The solutions to the equation are:
Answer:
it has taken Homer to fix the deck himself about:
x2 = 11.75 hours