The answer will be 6/1 but when you divide it will be 6
A scientist needs 60 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 60 liters of 60% acid solution?
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Equation:
acid + acid = acid
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0.40x + 0.70(60-x) = 0.60*60
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40x + 70*60 - 70x = 60*60
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-30x = -10*60
x = 20 liters
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Gabe needs 20 liters of the 40% solution.
He also needs 40 liters of the 70% solution.
Answer:
52
Step-by-step explanation:
140 - 13 = 127
127 - 75 = 52
Check your work:
75 + 13 + 52
= 140
Y=1/2x-2
To find the point where the two lines intersect they are set equal to each other so that x can be found:
2x-5=-x+1
2x+x=1+5
3x=6
x=2
If x is known, x can be plugged into one of the two equations to find y.
y=-x+1=-2+1=-1
This means the point where they intersect is (2,-1).
We also know that the slope has to be 1/2 because the slope has to match the slope of the line it is parallel to.
Putting this into point slope form, we get:
(y-(-1))=1/2(x-2)
Which can be simplified into slope intercept form:
y+1=1/2x-1
y=1/2x-1-1
y=1/2x-2
