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Rainbow [258]
3 years ago
10

a company sells a container of trail mix that is 10% cnady pieces and another container that is 25% candy pieces. how many cups

of mixture would be needed to make 18 cups that is 20% candy pieces?
Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Let x be the cups of trail mix that is 10% candy pieces

Y be the cups of trail mix that is 25% candy pieces.

 

Since the total is 18 cups

 

X + y = 18

And the mix is 20% candy

 

0.10x + 0.25y = 18(0.20)

Solving the equations simultaneously

 

X = 6 cups

<span>Y = 12 cups</span>

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Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

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Substitute in the value of L into subjective function;

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\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)

Determine the critical points of the first derivative;

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L = 162 / 12.728

L = 12.728 m

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