Answer:
Improper fraction = 10/3 cups
Mixed fraction = 3 1/3 cups
Step-by-step explanation:
Given;
Sam uses 2/3 cup of sugar to make cookies
Rate = 2/3 cup per batch
To make 5 batches, he would need;
Amount = number of batches × rate per batch
Amount = 5 batches × 2/3 cups per batch
Amount of sugar he would need = 10/3 or 3 1/3 cups
The equation is y = 16/25 x
lets find the proportional relationship,
y = kx
2/5 = k * 5/8
k = (2/5) / (5/8)
k = 16/25
so if k, constant is 16/25
equation is:
y = 16/25 x
<h3>What are proportional relationships?</h3>
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
<h3>How do you find the proportional relationship in an equation?</h3>
The equation that represents a proportional relationship, or a line, is y = k x , where is the constant of proportionality. Use k = y x from either a table or a graph to find k and create the equation.
To learn more about proportional relationship from the given link
brainly.com/question/2143065
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8x + 7 = 5
A "product" is the result of a multiplication operation. So the product of a number, ( which we will call x,) and 8 would be 8x. (Or 8*"x" number) 7 more than that product would be 8x + 7 = 5
Hope that this helps!
Answer:
Step-by-step explanation:
We have been given that
We can use the formula for difference of cubes to simplify the function f(x)
difference of cubes - 
And g(x) can be written as
Thus, we have
On cancelling the common factors, we get
