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8_murik_8 [283]
3 years ago
7

Sue answers 43 out of 60 questions correctly. What percentage of her answers are incorrect?

Mathematics
2 answers:
eduard3 years ago
8 0

Answer:

28 1/3 %

Step-by-step explanation:

60-43 = 17 answers INCORRECT

17/60 * 100 = 28 and 1/3 %

nirvana33 [79]3 years ago
8 0

Answer: 28.(3) 3 is repeating

Step-by-step explanation: When we start this problem, we should find out what answers Sue answered incorrectly. Since the problem already tells us that she answered 43 of them correctly(out of 60), all we need to do is subtract: 60-43

That’s when we learn that Sue answered 17 of the 60 questions incorrectly. Now, we need to convert 17/60 into a percentage.

If you didn’t know, in order to convert a fraction into a percentage, you have to first divide the numerator by the denominator, then multiply by 100.

So, 17 divided by 60 will give us 0.28(3). (The reason I put a parenthesis around 3 is that it is a repeating number). After, we have to multiple that decimal by 100 or simply move the decimal point by 2 places. Therefore, we get: 28.(3)

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Answer:

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# 3x² + 3y² + 12x + 18y - 15 = 0 ⇒ (x + 2)² + (y + 3)² = 18

# 2x² + 2y² - 24x - 16y - 8 = 0 ⇒ (x - 6)² + (y - 4)² = 56

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Step-by-step explanation:

* Lets study the problem to solve it

- Use the terms of x and y in the general form to find the standard form

∵ x² + y² - 4x + 12y - 20 = 0

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∴ (x - 2)²

- Use the term y term

∵ 12y ÷ 2 = 6y ⇒ y × 6

∴ (y + 6)²

∵ (-2)² + (6)² + 20 = 4 + 36 + 20 = 60

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- Use the term x term

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∴ (x + 3)²

- Use the term y term

∵ -8y ÷ 2 = -4y ⇒ y × -4

∴ (y - 4)²

∵ (3)² + (-4)² - 10 = 9 + 16 - 10 = 5

∴ x² + y² + 6x - 8y + 10 = 0 ⇒ (x + 3)² + (y - 4)² = 5 ⇒ not in answer

∵ 3x² + 3y² + 12x + 18y - 15 = 0 ⇒ divide all terms by 3

∴ x² + y² + 4x + 6y - 5 = 0

- Use the term x term

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∴ (x + 2)²

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∴ x² + y² - 2x + 4y - 6 = 0

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∵ (1)² + (-6)² + 9 = 1 + 36 + 9 = 46

∴ x² + y² + 2x - 12y - 9 = 0 ⇒ (x + 1)² + (y - 6)² = 46

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