5 liters of water must be added.
Step-by-step explanation:
In this question form and equate equations for the amount of sugar in both syrups which does not change.
Let the amount of water to be added to 15 liters of 40% sugar syrup to be w liters
The 40% sugar syrup will contain 15 liters of 40% sugar syrup. This means that the amount of sugar contained in the syrup is 15 *0.4 = 6 liters......(i)
So for a 30% sugar syrup, the amount of syrup is =15 +w *L , thus amount of sugar in this syrup will be : (15+w)0.3*L--------(ii)
Because only water was added, the amount of sugar remains the same hence equate the equations for amount of sugar;
0.3(15+w)=6
solve for value of w as
4.5+0.3 w =6
0.3 w = 6-4.5
0.3 w = 1.5
w= 1.5/0.3 = 5 liters
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Keywords : liters, water , added, sugar syrup
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C and E, evaluate the numbers outside of the parenthesis to the inside
<span>We want to show that f(g(x)) = x and g(f(x)) = x.
So to do that, we need to calculate f(g(x)) and g(f(x)) explicitly.
Let's begin with f(g(x))
Now, f(g(x)) = f(4/x), by definition of g, as g(x) = 4/x
What then is f(4/x) equal to? Use the definition of f.</span>
