√2/√2+√3-√5 rationalise the denominator
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Let be the amount (gal) of the 40% slime solution you end up using. You want to end up with 120 gal of the 50% solution, so that you would use
gal of the 70% solution.
You want the final solution to consist of 50% slime, or 60 gal of slime. Each gal of the 40% solution contributes 0.4 gal of slime, while each gal of the 70% solution contributes 0.7 gal of slime. This means
so the answer is B.
The point of intersection you are concerned with is the left-most of those of the graphed lines. Thus you want the two equatons that both have x-intercepts that are negative. Since the x-coefficient is positive in every case, this will mean the right-side constants of these equations both need to be negative. The appropriate choice is ...
A. 4x - 5y = -5 and 3x + 10y = -20
A. 4x - 5y = -5 and 3x + 10y = -20