Answer:
B
Step-by-step explanation:
20 characters because i dont like this system
Mixed number form 1 99/100
14-2x=6+12x
14=6+10x
8=10x
0.8=x
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>
0.9 is the answer hope it helps.
