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tamaranim1 [39]
3 years ago
6

A chocolate company makes chocolate malt balls that have a radius of 0.34

Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer:

<h2>Approximately 141 malt balls</h2>

Step-by-step explanation:

this problem is on the mensuration of solids shapes.

first we need to calculate the volume of the rectangular prism

volume of prsim= l*b*h

given that

length= 1.5 in

breath=2.5 in

hieght= 6 in

volume= 1.5*2.5*6

volume=22.5 in^3

secondly we then calculate the volume of a malt ball

given that

raduis r= 0.34

volume of sphere = 4/3πr^3

volume of sphere = 4/3*3.124*(0.34)^3

volume of sphere = 1.33*3.142*0.039

volume of sphere = 0.16 in^3

now we can calculate the amount of sphere that can fit into the prism as

= volume of prism/volume of sphere

= 22.5/0.16

=140.6

approximately 141 malt balls

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If we subtract x from both sides, then we end up with 2 = 3, which is always false.

No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.

Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).

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An example of something that has one solution is 3x+2 = 2x+7

Solving this equation leads us to...

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To verify the solution, we plug it back into the original equation

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An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)

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Answer:

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