To solve, we will follow the steps below:
3x+y=11 --------------------------(1)
5x-y=21 ------------------------------(2)
since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)
adding equation (1) and (2) will result;
8x =32
divide both-side of the equation by 8
x = 4
We move on to eliminate x and then solve for y
To eliminate x, we have to make sure the coefficient of the two equations are the same.
We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3
The result will be;
15x + 5y = 55 ----------------------------(3)
15x - 3y =63 --------------------------------(4)
subtract equation (4) from equation(3)
8y = -8
divide both-side of the equation by 8
y = -1
Answer: 8 minimum work stations is what would be needed.
Step-by-step explanation:
The cycle time is computed as the operating time daily divided by the scheduled output.
It is important to note that the daily capacity of the operation layout is the operating time divided by the cycle time.
Therefore,
If you need to produce 30units/hour.
The average cycle time is as follow:
The average cycle time is the average time between the completions of units.
60/30= 2 average cycle time
=16/2
=8
8 work stations is the minimum number that would be needed.
It is important to know that in an assembly line balancing, the minimum number of work station is the ratio of the sum of all tasks time to the cycle time.
L = w+22
2(l+w) = 4040
2(w+22+w) = 4040
2w + 22 = 4040/2 = 2020
2w = 2020-22 = 1998
w = 999ft
l = w+22 = 999+22 = 1021ft
w = 999 ft
Answer:
There are 8 numbers.
4 of the numbers are even ( 2, 4, 6, 8)
The probability is the number of even numbers over the total numbers:
4/8 which reduces to 1/2.
The answer is 1/2
The equation of the line is y=x-2