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The missing value is 12 in a system of equations with infinitely many solutions conditions.
It is given that in the system of equations there are two equations given:
It is required to find the missing value in the second equation.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
We have equations:
Let's suppose the missing value is 'Z'
We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.
From equation (1)
(multiply both the sides by 3)
...(3)
By comparing the equation (2) and (3), we get
M = 12
Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.
Learn more about the linear equation.
Answer:
B) To maintain peak performance for every 50 generators, there are 10 inspectors.
Step-by-step explanation:
For peak operational:
3 electricians for each generator. ⇒ 1 Generator : 3 Electricians
4 inspectors for every 60 electricians. ⇒ 60 Electricians : 4 Inspectors
Now, the number of generators the state has now = 50
Let us assume the number of inspectors required by the power plant = m
Now, from the given ratios:
For, 3 electrician there is 1 generator
⇒ For, 3 x 20 Electrician there is 1 x 20 Generators.
or, for 60 Electrician there are 20 Generators. (1)
Also, for 60 Electrician there are 4 inspectors. (2)
⇒From (1) and (2), we get:
For every 20 generators, there are 4 inspectors.
And, from what we have assumed For every 50 generators, there are m inspectors.
So, by the RATIO OF PROPORTION:
or, m = 10
Hence, to maintain peak performance for every 50 generators, there are 10 inspectors.