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spayn [35]
3 years ago
8

the radii of earth n pluto are 6,371 kilometers and 1,161 kilometers, respectively. approximately how many spheres the size of p

luto does it take to have the same volume as earth
Mathematics
2 answers:
Pepsi [2]3 years ago
6 0

Answer:

165

Step-by-step explanation:

I just took a test on Plato/Edmentum with this question and this was the right answer

~Please mark me as brainliest :)

Elodia [21]3 years ago
5 0

Since we are working with volumes, the number of spheres, N, required will be the (ratio of radii) ³ , i.e.


N= (6371/1161)^3 = 165.2

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Which statement best reflects the solution(s) of the equation?
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x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1} and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

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The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}  the denominator becomes zero i.e

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which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2  in the equation,

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}

\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2

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Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

  • brainly.com/question/1626495
  • brainly.com/question/2959656
  • brainly.com/question/2456302

#learnwithBrainly

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motikmotik

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<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

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