Total = 36oz
Amount of 18% solution = x
Amount of 9% solution = 36 - x
Using the fact that (amount of solution) * (percent HCl) = amount HCl we can set up an expression for the amount HCl in a mixture of 18% and 9% solutions with a total volume of 36oz.
Amount of HCl = x*0.18 + (36 - x)*0.09
If we divide this by the amount of solution we get percent HCl, and we have a target of 10% HCl. Now we have an equation to solve,
[x*0.18 + (36 - x)*0.09]/36 = 0.1
x*0.09 + 3.24 = 3.6
.09x = 0.36
x = 4
Therefore,
4 ounces of 18% HCl solution and 32 ounces of 9% HCl solution
Check:
[(4*.18) + (.09*32)]/36 = 0.1?
0.1 = 0.1 Yes.
Answer:
(y-12)/4
Step-by-step explanation:
If g(x) is the inverse of f(x)
and f(x) = 4x + 12
f⁻¹(x) = g(x)
let f(x) be represented as y
f(x)
= y
y = 4x + 12
subtract 12 from both sides
y-12= 4x
divide both sides by 4
(y-12)/4 = x
so f ⁻¹ (y)= (y-12)/4 so g(x) = (x-12)/4
To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, which satisfy two conditions...
jk=ac=12 and j+k=b=8, so j and k must be 2 and 6
Then the factors are just (a+j)(a+k), in this case:
(a+2)(a+6)
So the missing term was 6
I would say a circle graph would be best to use
The simplified answer is 0.23
