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Rasek [7]
3 years ago
9

A man buys four books from the store and a preferred reader discount card for $20. Later that day, he goes back and buys five mo

re books. He also got $5 discount using his new card. If he spent a total of $87 at the bookstore, how much did each book cost assuming every book cost the same amount?
Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Let x be the cost of each book.

So, the cost of 4 books is 4x.

For the purchase of 4 books, he got a discount of $20.

So, the amount he paid for the first four books = 4x - 20.

Now, the cost of 5 books is 5x.

For the purchase of 5 books, he got another discount of $5.

So, the amount he paid for the five books = 5x - 5.

Total money spent = $87.

Therefore, (4x - 20) + (5x - 5) = 87

4x + 5x - 20 - 5 = 87

9x - 25 = 87

9x = 87 + 25

9x = 112

Divide both sides by 9.

x = 12.4

Hence, the cost of each book = $12.4.

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Law Incorporation [45]

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<h2>18</h2>

Step-by-step explanation:

The formula of a distance between two points:

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Answer:

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Step-by-step explanation:

Hope this helps!

8 0
3 years ago
10 POINTS!!! FULL ANSWER IN STEP BY STEP FORMAT!!
In-s [12.5K]
Remark
This question likely should be done before the other one. What you are trying to do is give C a value. So you need to remember that C is always part of an indefinite integral.

y = \int (cos(x) + sin(x) ) \, dx = \int{cos(x) \,dx + \int sin(x) \,dx
y = sin(x)  -  cos(x) + C 
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y(π) = 1 + C = 0
C = - 1

y = sin(x) - cos(x) - 1  <<<<< Answer

Problem Two
Remember that y =  \int\ { \frac{1}{x} } \, dx = ln(|x|) + C
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y(-e^3) = 3 + C  = 0
3 + C = 0
C = - 3

y = ln(|x|) - 3  <<<< Answer
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3 years ago
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