So.. first off.. let's keep in mind that if 30% of acid is there in a solution, say the solution is some amount of liquid and 30% of that total liquid only is the acid, so if the amount of the liquid is say "x", then 30% of that is just (30/100) * x, or 0.3x.
now, we'll do the same for the 55% and the 45%, use the decimal format to get how much quantity in the substance is of acid.
now, whatever "x" and "y" are, we know that
x + 60 = y, and we also know that
0.3x + 33 = 0.45y.
1) x = -y/2 + 11/2
2) x = -3y/5 + 29/5
Hey sorry I don’t know it but you can use cymath.com on the internet and it’ll help you a lot with stuff like these!
The equation of this line is given by:
y = -1/2x + 1.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points, the slope is given by <u>change in y divided by change in x</u>. In this problem, we have points (0,1) and (2,0), hence:
m = (1 - 0)/(0 - 2) = -1/2.
Point (0,1) also means that the y-intercept is of b = 1, hence the equation of this line is given by:
y = -1/2x + 1.
More can be learned about linear functions at brainly.com/question/24808124
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