SOLUTION: What amount of each mixture, one 95% alcohol nad the other 15% alcohol, must be used to make 10 liters of a mixture which is 45% alcohol? What equation or equations will express t

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Question 141058: What amount of each mixture, one 95% alcohol nad the other 15% alcohol, must be used to make 10 liters of a mixture which is 45% alcohol?
What equation or equations will express this problem?
1. 0.95x + 0.15y=10
0.45(x+y)=0.45*10 star is multiply
2. 0.95x + 0.15x=0.45
3. 0.95x + 0.15(10-x)=0.45*10
4. x+y=10
0.45x+0.95y=0.45*10

second question
A lever 12m long balances weight of 48kg on one end and 24kg on the other end. Find the length of the two arms of the lever.
third question
How is the following system of equations classified?
fourth qestion
A bicyclist and a hiker leave the same place at the same time and travel in the same direction. the bicyclist travels three times as fast as the hiker. At the end of 3 hr they are 24 miles apart. How fast does the hiker travel?
can I get help with any type of calculus qestion?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What amount of each mixture, one 95% alcohol nad the other 15% alcohol, must be used to make 10 liters of a mixture which is 45% alcohol?
What equation or equations will express this problem?
Quantity Equation: x + y = 10
Alcohol Equation: 0.95x + 0.15y=0.45*10
second question
A lever 12m long balances weight of 48kg on one end and 24kg on the other end. Find the length of the two arms of the lever.
48x = 24(12-x)
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third question
How is the following system of equations classified?
?
fourth qestion
A bicyclist and a hiker leave the same place at the same time and travel in the same direction. the bicyclist travels three times as fast as the hiker. At the end of 3 hr they are 24 miles apart. How fast does the hiker travel?
Cyclist DATA:
Rate = 3x mph ; Time = 3 hrs ; Distance = 9x miles
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Hiker DATA:
Rate = x mph : Time = 3 hrs ; Distance = 3x miles
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EQUATION:
distance - distance = 24
9x - 3x = 24
x = 4 mph (walker rate)
3x = 12 mph (cyclist rate)
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Cheers,
Stan H.