Here’s your answer and solution
A health food store sells a mixture of raisins and roasted nuts.
2 answers:
Answer:
Raisins = 25 kg
Nuts = 15 kg
Step-by-step explanation:
Given that:
Kilograms of snack to be made = 40 kg
Price per kg would be $4.75kg.
Price of 40 kg would be = 4.75 * 40 = $190
Let,
x be the kilograms of raisins
y be the kilograms of nuts
According to given statement;
x+y=40 Eqn 1
4.00x+6.00y=190 Eqn 2
Multiplying Eqn 1 by 4
4(x+y=40)
4x+4y=160 Eqn 3
Subtracting Eqn 3 from Eqn 2
(4x+6y)-(4x+4y)=190-160
4x+6y-4x-4y=30
2y=30
Dividing both sides by 2
Putting y=15 in Eqn 1
x+15=40
x=40-15
x=25
Hence,
Raisins = 25 kg
Nuts = 15 kg
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And remember tangent is just sin/cos. So what degree has sinx as 1/2 and and cosx as sqrt(3)/2? Well, 30 degrees does, but 30 degrees is not within the range we are given. That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.
And 210 degrees in radians is 7pi/6.
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5) What quadrant is radian measure 5 in?
Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.
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