Answer:
1 'standard' drink usually refers to 5 ounces of wine (with 12% alcohol)
So 37 ounces will be 37/5 = 9 and 1/4 drinks
Answer:
Lin = 8.2 m/s x 25 s =<u> 205 m </u> (<em>Finish Point)</em>
Elena = V = 250 m / 28 s <u>V = 8.93/s </u> (<em>Velocity</em>)
Diego = -8.1 m/s x 32 s =<u> -259.2 meters</u> (<em>Finish Point</em>)
Andre = V = -285 m /35 s V= -8.14ms (<em>Velocity</em>)
Step-by-step explanation:
I hope this helps!
<span>(box volume/ball volume) * packing density = # mables that fit in box
max packing density is pi/3*sqrt(2) for spheres, according to the Kepler conjecture, so if ball volume is b,
(4.5 * 4.5 * 7.5 / b) * (pi/3*sqrt(2)) = 160
151.875 / b * (pi/3*sqrt(2)) = 160
151.875 * pi / b * 3 * sqrt(2) = 160
50.625 * pi / b * sqrt(2) = 160
10.125 * pi / 32 * sqrt(2) = b
b ~ 0.7
For a tin cylinder of 4.5 diameter, the volume is (4.5/2)^2 * pi * h. Using the formula again,
(box volume/ball volume) * packing density = # mables
(5.0625 * pi * h / (10.125 * pi / 32 * sqrt(2)) * (pi/3*sqrt(2)) = 160
(5.0625 * pi * h * 32 * sqrt(2) / 10.125 * pi) * (pi/3*sqrt(2)) = 160
5.0625 * h * 32 * sqrt(2) / 10.125 * (pi/3*sqrt(2)) = 160
162 * h * sqrt(2) * pi / 10.125 * 3 * sqrt(2) = 160
54 * h * pi / 10.125 = 160
54 * h * pi = 1620
h * pi = 30
h = 30/pi
h ~ 9.55
So if the marbles are of equal size, and both the box and cylinder are packed as tightly as possible, the cylinder would have to be 9.55 units tall.</span>
Answer:
Around 6.65
Step-by-step explanation:
Answer:
31/55 × 111
Step-by-step explanation:
the first one is less than 111 because it contains the only fraction that is less than 1
31/55 equals about 0.56
55/55 = 1
55/31 equals about 1.77
31/31 = 1