The answer should be 55 degrees.
3y2 − 6 = 42
±___
We are required to calculate the number of days it would take the apprentice working alone
The number of days it takes the apprentice working alone is 6 days
let
Number of days taken for the carpenter to work alone = x
Number of days taken by the apprentice to work alone = 2x
Number of days taken to work together = 2 days
Work done per day Carpenter = 1/x
work done per day apprentice = 1/2x
work done per day together = 1/2
So,
work done per day together = Work done per day Carpenter + work done per day apprentice
1/2 = 1/x + 1/2x
1/2 = (2 + 1) / 2x
1/2 = 3/2x
cross product
1(2x) = 2(3)
2x = 6
x = 6/2
x = 3 days
Therefore,
Number of days taken by the apprentice to work alone = 2x
= 2(3)
= 6 days
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Answer:
6 days
Step-by-step explanation:
Let the time taken by Carpenter working alone = days
Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2 days
Time taken working together = 2 days
Work done in one day working together =
Work done in one day by Carpenter working alone =
Work done in one day by apprentice working alone =
Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone = +
= Work done in one day working together =
Time taken by Carpenter alone to complete the work = 3 days
Time taken by Apprentice alone to complete the work = 3 2= 6 days
y = 2x - 7
To solve the given pair of linear equations y = -x + 5 and y = 2x - 7, you can use the elimination method. Multiply the second equation by -1, add the equations together to eliminate y, solve for x, and substitute the value of x back into either equation to find y. The solution is x = 4 and y = 1.
To solve the given pair of linear equations:
y = -x + 5
y = 2x - 7
You can use the method of substitution or elimination. Let's use the elimination method:
Step 1: Multiply the second equation by -1 to make the coefficient of y in both equations the same:
y = -x + 5
-y = -2x + 7
Step 2: Add the equations together to eliminate y:
0 = -3x + 12
Step 3: Solve for x:
3x = 12
x = 4
Step 4: Substitute the value of x back into either equation to find y:
y = -4 + 5
y = 1
So, the solution to the given pair of linear equations is x = 4 and y = 1.
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The complete question is given below:
Solve the given pair of linear equation in two variable.
y = -x + 5
y = 2x - 7
Answer: x=4, y=1
Step-by-step explanation:
Because y=y, you can make an equation that is -x+5=2x-7. Then add the x to the right side, so it would be 5=3x-7. Then add the 7 to the left side to get all of the numbers in one place. So it would be 12=3x. Divide by 3 on both sides and you get x=4. Then plug x into either one of the original equations. Both equations should get you the same answer for y. Y=-4+5. Y=1. And the other equation. Y=2x-7, y=8-7. Y=1
Step-by-step explanation:
Tip amount = $ 141.60 - $120 = $ 21.60
tip percentage = $ 21.60 / $120 x 100% = 18%
The equation for Logan's total pay on a day he sells x computers is P = 80 + 1.25x.
To represent Logan's total pay on a day he sells x computers, we need to consider his base pay and commission. Logan's base pay is $80 per day. Additionally, he earns a commission of $1.25 for each computer he sells. Therefore, the equation for P, representing Logan's total pay, can be written as:
P = 80 + 1.25x
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