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3/8(2x+16)-2 = 13
3(2x+16)/8-2 = 13
6x+48/8-2 = 13
6x+48-16/8 = 13
6x+48-16 = 13×8
6x+48-16 = 104
6x = 104+16-48
6x = 120-48
6x = 72
x = 72/6
x = 12
Fifteen picks are orange I would like to believe
Answer:
$576
Step-by-step explanation:
The equation for simple interest is I = PRT, where I is the interest earned, P is the principal/amount deposited, R is the rate as a decimal, and T is time in years.
I = (3200)(0.06)(3)
I = 576
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.
