Cd's at sound house are marked 1/3 off. what percent is this
1 answer:
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Answer:
<h3>There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;
where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.
Answer:
There are 6 coins in nickels and 9 coins in quarters.
Step-by-step explanation:
Now, to find the solution.
According to question:
The number of nickels = .
The number of quarters =
So, the total number of coins:
He had 3 more quarters than nickels.
Thus,
.....(1)
Now, to get the solution:
Substituting the equation (1):
<em>Subtracting both sides by 3 we get:</em>
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<em>Dividing both sides by 2 we get:</em>
<em>The number of nickels = 6.</em>
Now, substituting the value of in equation (1):
<em>The number of quarters = 9.</em>
Thus, there are 6 coins in nickels and 9 coins in quarters.