Declan's friend Luka claims that he can read minds. To test Luka's abilities, Declan draws 5 cards without replacement from a st
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<span>Let C denote the number of candidates they interview and E the number of employees they train.
</span>
<span>If it takes 20 hours and $400 to interview a candidate, then it takes 20C hours and $400C to interview C candidates.
</span>
If <span>it takes 120 hours and $3600 to train an employee, then it takes 120E hours and $3600E to train E employees.
</span>
Company has less than <span>$95000, then 400C+3600E<95000.
</span>
Company <span>wants to spend at most 470 hours, then
.
</span>
<span>You obtain the system of two inequalities:
</span>
Then you can solve this system according to your demands.
</span>
<span>If it takes 20 hours and $400 to interview a candidate, then it takes 20C hours and $400C to interview C candidates.
</span>
If <span>it takes 120 hours and $3600 to train an employee, then it takes 120E hours and $3600E to train E employees.
</span>
Company has less than <span>$95000, then 400C+3600E<95000.
</span>
Company <span>wants to spend at most 470 hours, then
</span>
<span>You obtain the system of two inequalities:
</span>
Then you can solve this system according to your demands.
L represent Option A. The correct answer is that the mixture has the intended volume and has more than the intended percent of butterfat.
<h3>What is the graph about?</h3>Note that:
The graph shows that the point L is one that is below the blue line of the graph.
Therefore, x + y = 500
Also one need to see that:
0.18x + 0.04y = 500(0.12)
Since that cream is 18% butterfat, milk is 4% butterfat, so L is composed of of 350 ml of cream and 100 ml of milk.
Hence the total amount of butterfat for L is:
0.18 x 350 + 0.04 x 100
= 67ml.
Next, one has to calculate 12% of the volume of L :
12% of 450:
0.12 x 450 = 54ml
So, because 67 is bigger than 54, this implies that the volume of butter fat in L is more than 12 %.
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