81/450 is 0.18.
If you move the decimal place to the right two spots, you've got your percentage.
18% said they preferred country music.
Information given:
- <u>100 passengers in each train car</u>
- <u>10 train cars total</u>
- <u>30 trains total</u>
<em>So we are trying to find the total number of passengers on all 30 trains?</em>
<u />
Step-by-step:
100 x 10 = <u>1,000 passengers per train</u>
1,000 x 30 = <u>30,000 passengers total within the 30 trains</u>
Answer: <u>30,000 passengers</u>
<em>Hopefully this answered your question :)</em>
<span>y = 300 - 5x
Standard form:
ax + by = c
</span>y = 300 - 5x
<span>5x + y = 300
Then to find the y-intercept, insert a 0 into the 'x'.
5(0) + y = 300
y = 300
The y-intercept is 300.
To find the x-intercept, insert a 0 into the 'y'.
5x + (0) = 300
5x = 300
x = 60
The x-intercept is 60.</span>
The volume of a sphere is (4/3) (pi) (radius cubed).
The volume of one sphere divided by the volume of another one is
(4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³
Divide top and bottom by (4/3) (pi) and you have (radius-A)³ / (radius-B)³
and that's exactly the same as
( radius-A / radius-B ) cubed.
I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.
Earth radius = 6,371 km
Pluto radius = 1,161 km
Ratio of their radii = (6,371 km) / (1,161 km)
Ratio of their volumes = ( 6,371 / 1,161 ) cubed = about <u>165.2</u>
Note:
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.
