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Lemur [1.5K]
3 years ago
6

Please help with algebra problem

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0
To solve this problem you must aplpy the proccedure below:

 1. You have that the lab technician mixed 520 ml solution of water and alcohol and 3% is alcohol. 

 2. ml of alcohol:

 520 ml----100%
           x----3%

 x=3x520/100
 x=15.6 ml

 3. ml of water:

 y=520 ml-15.6 ml
 y=504.4 ml

 14. Therefore, as you can see, the answer is:

 15.6 ml of alcohol and 504.4 ml of water were used by the lab technician.
 
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Find the area of the parallelogram with vertices:________.
marin [14]

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Step-by-step explanation:

The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;

Area of the parallelogram = |PQ×PS|

PQ = Q-P and PS = S-P

Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)

PQ = (4,-5,3) - (0,0,0)

PQ = (4,-5,3)

Also, PS = S-P

PS = (8,-12,4)-(0,0,0)

PS = (8,-12,4)

Taking the cross product of both vectors i.e PQ×PS

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PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k

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Hence the area of the parallelogram is 97.98

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3 years ago
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