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Kisachek [45]
3 years ago
13

Algebra problem help

Mathematics
1 answer:
True [87]3 years ago
4 0
To solve this problem you must apply the proccedure below:

 1. You have that one canned juice drink is 20% orange juice and another is 5% orange juice.

 2. You must make a system of equation, as below:

 x+y=15  (i)
 0.20x+0.05y=0.15x15   (ii)

 3. Now, you must find the value of x (the liters of the first canned needed) and y (the liters of the other canned needed):

 x+y=15  (i)
 x=15-y

 0.20x+0.05y=0.15x15   (ii)
 0.20(15-y)+0.05y=2.25
 y=5 liters

 x+y=15  (i)
 x=15-5
 x=10 liters

 4. Therefore, the asnwer is:

 10 liters of the canned juice drink that is 20% orange juice and 5 liters of the other canned juice drink that is 5% orange juice.

 
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The quadratic equation

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Part A:

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We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

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x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}

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