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Olenka [21]
3 years ago
11

On Dan's eReader, 2/3 of the books are fiction. Of the fiction books,4/5 are mysteries. What fraction of the books on Dan's eRea

der are mysteries? What fraction the books are not mysteries? Explain
Mathematics
1 answer:
Nitella [24]3 years ago
8 0

Answer:

Step-by-step explanation:

Let's take a real situation. Suppose he has 1500 books in total

2/3 of them are fiction. Of means multiply.

them = 1500

2/3 * 1500 = 3000/3 = 1000

Now of the one thousand fiction books 4/5 of them are mysteries.

4/5 * 1000 = 4000/5 = 800.

Now let's see what happens when we just do this by answering the question directly.

2/3 * 4/5 = 8/15 This has the meaning that 8 out of every 15 books = mysteries.

Try this on the 1500 books.

8/15 * 1500 = 9000/15 = 800. So the answers are the same and the answer the computer expects should be 8/15 or 0.533333333

Just to check, does 0.5333333 * 1500 = 800? Try it.

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Answer:

The answer is

Step-by-step explanation:

Given: f(x) = 3 + 2x - x²

To compute f(3 + h) substitute x = 3 + h.

Similarly, to compute f(h) simply substitute x = h.

We are asked to compute $ \frac{f(3 + h) - f(h)}{h} $

f(3 + h) = 3 + 2(3 + h) - {(3 + h)²}

           = 3 + 6 + 2h - {9 + 6h + h²}

           = 9 + 2h - 9 - 6h - h²

           = - 4h - h²

Now, f(h) = 3 + 2h - h²

f(3 + h) - f(h) = -4h - h² - 3 - 2h + h²

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3 years ago
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Find the second derivative at the point (2,2), given the function below. 2x^4=4y^3
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