Solve for x. x/4-1/2(6-x)=7x+3(6-2x)-1
1 answer:
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For this case, we must find the inverse of the following function:
To find the inverse we follow the steps below:
We rewrite the denominator:
We exchange variables:
We solve for y:
We multiply on both sides of the equation by (y-7)
We subtract xy on both sides of the equation:
We add 1 to both sides:
We factor for y:
We divide both sides by (-5-x):
So, we have:
Answer:
Jayden's work rate is twice Chandra's work rate, and, the rooms cleaned
by Jayden is twice the number of rooms cleaned by Chandra.
Response:
- <u>Jayden cleans 8 rooms while Chandra cleans 4 rooms</u>
Number of rooms in the house = 12
The time that Jayden takes to clean the house = 6 hours
Time that it takes Chandra to clean the house by herself = 12 hours
Time it takes both of them to clean the house = 4 hours
Required:
The number of rooms that Jayden clean and the number of rooms that
Chandra cleans when they work together.
Solution:
Given that the time it takes Jayden to clean the house is half the time
taken by Chandra.
Therefore;
The number of rooms Jayden cleans in 4 hours is twice the number of rooms cleaned by Chandra, which gives;
Ratio of the number of rooms cleaned by Jayden to the number cleaned by Chandra is 2 : 1
Total number of rooms cleaned = 12
The number of rooms cleaned by Chandra = 12 - 8 = <u>4 rooms</u>
Learn more about ratios here: