Answer:
7.5 liters of a 40% sugar solution
Step-by-step explanation:
Let
x ----> liters of a 40% sugar solution
Remember that

we know that
The amount of liters of a 40% sugar solution (x) multiplied by 0.40 plus the amount of liters of a 60% sugar solution (30 L) multiplied by 0.60 must be equal to the total amount of liters mixed (x+30) multiplied by 0.56

solve for x

A vertex is whenever 2 lines come together so a corner.
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The function h is defined, for all real numbers , answer is as follows -
h(1) = - 2
h(2) = 3
h(4) = 3.
function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable
We have been given that
h(x) = 1/4(x) - 1 if x < -2
h(x) = -(x + 1)² + 2 if -2 ≤ x < 2
h(x) = 3 if x ≥ 2
Find h (1), h (2), and h (4)
For h (1) -
Value of h(1) for h(x) = -(x + 1)² + 2 as if -2 ≤ x < 2
So put x = 1
h(x) = -(x + 1)² + 2
h(1) = -(1 + 1)² + 2
h(1) = -4 + 2
h(1) = - 2
For h (2) -
Value of h(2) for h(x) = 3 as if x ≥ 2
h(x) = 3
h(2) = 3
For h (4) -
Value of h(4) for h(x) = 3 as if x ≥ 2
h(x) = 3
h(4) = 3
Hence , the value for given functions - h(1) = - 2 , h(2) = 3 and h(4) = 3.
To learn more about Function
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In the given question, there are several important information's that have been given. based on these information's the correct answer to the question can be determined. It is already given that the selling price is $50. 50% off has already been declared.
Then
The amount of sale given on the violin = (50/100) * 50 dollars
= 25 dollars.
So the sale that has been given on the violin is $25.
Then the original price of the violin = (50 + 25) dollars
= 75 dollars
So the original price of the violin was $75.