Answer:
Step-by-step explanation:
If x divided 9=9 how do u know what x is
2 answers:
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Answer:
21 microwaves
Step-by-step explanation:
The net profile is equal to the income less the total cost, so the equation to the net profile NP is:
NP = 700x - (6000 + 300x)
Where 700x is the income and (6000+300x) is the cost of manufacturing.
Now, replacing NP by 2400 and solving for x, we get:
2400 = 700x - (6000 + 300x)
2400 = 700x - 6000 - 300x
2400 + 6000 = 400x
8400 = 400x
So, the least number of microwaves that must be manufactured and sold so that the net profit is $2400 is equal to 21.
To solve the question we must know about the System of equations.
<h2>System of equation</h2><h2>Inconsistent System</h2>A system of equations to have no real solution, the lines of the equations must be parallel to each other.
<h2>Consistent System</h2><h3>1. Dependent Consistent System</h3>A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
<h3>2. Independent Consistent System</h3>A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The value of k should be 17 so that the system of equations gives infinite number of solutions.
<h2>Explanation</h2>Given to us
- 35x + 14y = 119
- 5x +2y = k
As we know that for a system of equations to give an infinite number of solutions. the equations of the system must be either same or in ratio.
<h3>In Equation 1</h3>dividing both the sides of the equation by 7,
As already discussed the system of equations to give infinite number of solutions, the equations must be the same. therefore, comparing both the equations we see that the value of k should be 17.
Hence, the value of k should be 17, so that the system of equations gives infinite number of solutions.
<h3>Verification</h3>As we can see in the below image on equating the value of k as 17, the line of the system of equations coincides, therefore, the system will have infinite number of solutions.
Learn more about System of Equations:
