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jeka57 [31]
3 years ago
13

Evaluate the given expression and express the result using the usual format for writing numbers​ (instead of scientific​ notatio

n). 29 Upper C 329C3 29 Upper C 329C3equals=nothing

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Answer:

29C3 = 3654

Step-by-step explanation:

What is applied here is combination that n - combination of r which is a subscript and the n - is a superscript.

  • nCr = nPr/r!
  • where nPr = n!/(n-r)!
  • nCr = n!/(n-r)! r!
  • And we are told to find 29C3, apply the formula and your results will be out.

Attached is the detailed explanation.

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15/10 to a mixed number
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First, we have to find how many times 10 goes into 15.

We can divide 15 by 10, and we will see that 10 goes into 15 1 whole time, with 5/10 left over.

Now, we can simplify!

In order to simplify, we have to find the GCF (greatest common factor) of 5 and 10. Let's list out the factors (the numbers that can be divided into 5 and 10)

1*5

1*10
2*5

The largest factor, as we can see, is 5! Let's dicide 5/10 by 5.

5/5=1
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So, 5/10 simplifies to 1/2, and, if we bring down the whole number we found before, 15/10 is equal to 1 and 1/2! :)

We can check this answer by multiplying the whole number, 1, by the denominator, (the bottom number of a fraction) 2, and adding the numerator, (the top number of a fraction), 1.

1*2=2
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Keep the denominator as 2.

The improper fraction is 3/2, which is equivalent to 15/10 (multiply 3/2 by 5 to see)!

So, our answer is 1 1/2.

I hope I helped! :)
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