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First, you'd work out the centre value
It would be the opposite value to what is in the brackets
Thus, the centre value is (2, -4)
Plot this value on a graph
In order to find the radius, you must square root the 25
Thus, the radius would be 5
Plot some points with a radius of 5 from the centre and then draw the circle
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Answer:
- 33 1/3 liters of 30%
- 16 2/3 liters of 45%
Step-by-step explanation:
Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...
0.45x +0.30(50 -x) = 0.35(50)
0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)
x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl
33 1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.
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<em>Comment on the solution</em>
You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...
(mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3
Answer:
y=3x+2
Step-by-step explanation:
Answer:
x =3, y =3
Step-by-step explanation:
From the second equation( y= -x+6) we can get x alone.
Subtracting 6 from both sides we get, y-6 = -x
And then dividing both sides by -1, -y+6 = x
Then we can substitute this value of x into the first equation.
y = 2(-y+6) +3
Simplifying,
y = -2y + 12+ 3
3y = 15
y = 3
Substituting this back into second equation we get 3 = -x + 6
and -x = -3
Dividing both sides by -1,
we get x =3
