A binder of baseball cards hold 625

Mathematics

1 answer:

vampirchik [111]3 years ago

3 0

Given:

Total number of cards in the binder = 625

Each page in the binder holds 9 cards.

To find:

The number of pages in the binder that can be COMPLETELY filled.

Solution:

We know that,

$\text{Number of pages filled}=\dfrac{\text{Total cards}}{\text{Cards in each page}}$

Putting the given values, we get

$\text{Number of pages filled}=\dfrac{625}{9}$

$\text{Number of pages filled}=69.44...$

Approximate the value to the preceding whole number to get the number of pages in the binder that can be COMPLETELY filled.

$\text{Number of pages filled}=69$

Therefore, 69 pages of binder are completely filled.

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Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 37 x2 − 6x

Dvinal [7]

Answer:

$\dfrac{A}{x}+\dfrac{B}{x-6}$

Step-by-step explanation:

Given the function $\dfrac{37}{x(x-6)}$ , to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.