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igor_vitrenko [27]
4 years ago
11

How many nickels will fit in a 2 liter bottle

Mathematics
1 answer:
lara [203]4 years ago
8 0
A nickel has a diameter of 21.21 mm and a thickness of 1.95 mm 

<span>2.121 cm diameter </span>
<span>0.195 cm thickness </span>

<span>Think of a nickel as a cylinder </span>

<span>r = 2.121/2 = 1.0605 cm </span>

<span>V = pi * r^2 * h </span>
<span>V = pi * 1.0605^2 * 0.195 cubic cm </span>

<span>2 liters = 2000 cubic cm </span>

<span>2000 / (1.0605^2 * 0.195 * pi) => </span>
<span>2902.84713216 </span>

<span>Your upper limit is 2902, but it could be as little as 0 (for instance if the 2L bottle was only 1 cm wide, then you wouldn't be able to fit a single nickel in there) </span>

<span>I'd say that you could expect about a 70% packing efficiency, just off the top of my head </span>

<span>2900 * 0.7 => </span>
<span>290 * 7 => </span>
<span>300 * 7 - 10 * 7 => </span>
<span>2100 - 70 => </span>
<span>2030 </span>

<span>I'd expect around 2000 nickels would fill up the bottle quite nicely, supposing you can get the nickels into it.</span>
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The speed limit is 55 minutes per hr. write an inequalit to represent the speed limit.
anygoal [31]
Answer: Either x \le 55 or 0 \le x \le 55 depending on your teacher's preference. See the note at the bottom for more info. 

=====================================

Let x be the speed limit. It is simply a placeholder. Think of it as a box with the number inside. We don't know what the number is, but we know that the largest it can be is 55. It cannot be larger than 55.

So x can be equal to 55 or it can be smaller

Put another way, x is less than or equal to 55 which is written as x \le 55 (on the keyboard you would type " x <= 55 " without quotes). 

---------------------------------------

Note: since negative speeds make no sense, we also must imply that x can't be negative. Your teacher may want you to write this in to clearly state it. If so, then you would also have x \ge 0 which when combined with the first inequality, you get this compound inequality 0 \le x \le 55 (basically saying "x is some speed between 0 and 55 mph"). This very clearly states the boundaries on what x can be. Though your teacher may want you to stick to the first format as its simpler. 
5 0
3 years ago
What is 47.2 % of 300 ?
kupik [55]
For this type of question, you just need to multiply the percentage with the number
so, the calculation would be

47.2%  x 300

47.2/100 x 300

47.2 x 3

= 141.6  


6 0
4 years ago
Read 2 more answers
2 Last year the girls' basketball team had 8 fifth-grade students and 7 sixth-grade students. What was the ratio of sixth- grade
Iteru [2.4K]

Answer:

Step-by-step explanation:

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4 0
3 years ago
Crystal has three packages of drink mix and two bottles of lemonade each package makes 64 oz of lemonade each bottle contains 48
irakobra [83]

Number of glass can serve is 48 glass

<u>Given:</u>

Number of drink mix package = 3

Quantity of each package = 64 oz

Number of lemonade bottle = 4

Quantity of each lemonade bottle = 48 oz

Quantity of each glass = 6 oz

<u>Find:</u>

Number of glass can serve

<u>Computation:</u>

Total quantity of mix drink = 3 × 64

Total quantity of mix drink = 192 oz

Total quantity of lemonade = 2 × 48

Total quantity of mix drink = 96 oz

Total drink = 192 + 96

Total drink = 288 oz

Number of glass can serve = Total drink / Quantity of each glass

Number of glass can serve = 288 / 6

Number of glass can serve = 48 glass

Learn more:

brainly.com/question/21348767?referrer=searchResults

6 0
3 years ago
Which expression is equivalent to the following complex fraction?
mamaluj [8]

The equivalent expression of 1 - \frac{1}{x} \div 2 is \frac{2x - 1}{2x}

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

1 minus StartFraction 1 Over x EndFraction divided by 2

Rewrite properly as:

1 - \frac{1}{x} \div 2

Express the division as product

1 - \frac{1}{x} \times \frac 12

Evaluate the product

1 - \frac{1}{2x}

Take the LCM

\frac{2x - 1}{2x}

Hence, the equivalent expression of 1 - \frac{1}{x} \div 2 is \frac{2x - 1}{2x}

Read more about equivalent expression at:

brainly.com/question/27911936

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3 0
2 years ago
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