I just finished my school work for the year!!!
2 answers:
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Answer:
As a percent: 115%
As a decimal: 1.15
As a fraction:
Step-by-step explanation:
<u>Percentages</u>
Suppose Michael spends some amount of money on food, and that money is set at 100%. He leaves a 15% tip for the waitress.
Thus, he is really paying 100%+15% = 115% of the original price.
To express a percentage as a decimal, we just divide by 100:
115% = 115/100 = 1.15
The same division should be simplified instead of operated to express the percentage as a fraction:
115% =
Simplifying by 5:
115% =
Summarizing:
As a percent: 115%
As a decimal: 1.15
As a fraction:
Answer:
There is a constant of proportionality between the two purchases and each book costs $4.99 (option B).
Step-by-step explanation:
A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.
In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.
In this case, the constant of proportionality k will relate the number of books bought N and their cost C in the following way:
C=k*N
So k is the price per book.
For the 12 books:
k=4.99
And for the 21 books:
k=4.99
The constant k for the two purchases is the same, thus <u><em>there is a constant of proportionality between the two purchases and each book costs $4.99 (option B). </em></u>