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zhuklara [117]
3 years ago
5

A race car driver complete 30 laps in 15 minutes at a constant Speed

Mathematics
1 answer:
brilliants [131]3 years ago
3 0

Answer:

Sooo it can complete 120 laps in 1 hour.

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How many different ways can the letters of “football” be arranged
makvit [3.9K]
<h3>Answer:   10,080</h3>

Explanation:

There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.

So,

(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080

is the number of ways to arrange the letters of "football".

The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.

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3 years ago
If a recipe says 1/4 for 4 servings then how many cups will 8 serving be for?
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\dfrac{1}{4}\dots4 \\x\dots8 \\\dfrac{\frac{1}{4}}{x}=\dfrac{4}{8} \\\dfrac{1}{4x}=\dfrac{1}{2} \\1=2x \\x=\boxed{\dfrac{1}{2}}

Hope this helps.

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The answer is B because the quantity tends to stay the same as the sample goes up
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