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Novosadov [1.4K]

3 years ago

6

Each game at an arcade costs $1.50. Chuck spent no more than $12.50 at the arcade. He bought a snack for $5.25 and spent the res

t of his money on arcade games. What is the maximum number of games Chuck could have played?

1 answer:

Elodia [21]3 years ago

6 0

4 because $12.50-$5.25=$7.25 you then divide $7.25 by $1.50 which is 4.833333 Therefore the maximum number of games Chuck can play is 4

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Given:
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BaLLatris [955]

Answer:

$\frac{r}{3\pi h+r}$

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

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Shown below:

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We simplify further:

$\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}$

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3 years ago

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Solnce55 [7]

It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for $\sqrt x$ .

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Now substitute $x+4=5\sin y$ , so that $\mathrm dx=5\cos y\,\mathrm dy$ . Then

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which simplifies to

$\displaystyle\int\frac{5\cos 
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Now, recall that $\sqrt{x^2}=|x|$ . But we want the substitution we made to be reversible, so that

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Under these conditions, we have $\cos y\ge0$ , which lets us reduce $\sqrt{\cos^2y}=|\cos y|=\cos y$ . Finally,

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and back-substituting to get this in terms of $x$ yields

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