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vladimir1956 [14]
3 years ago
11

Help homework is due today. please

Mathematics
1 answer:
Oxana [17]3 years ago
8 0
First solve the equation:

5(3x-7)=20 => 15x - 35 = 20 => 15x = 55 => x=11/3

Fill in this solution in 6x-8:

6*11/3 - 8 = 22 - 8 = 14

Second question: apply the distributive property (ie,. both terms get multiplied by 4/5):

4/5(20x - 10) = 80/5x - 40/5 = 16x - 8
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how many ways can 8 distinguishable books be placed in 5 distinguishable shelves so that each shelf contains one book
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There are 6720 ways by 8 distinguishable books be placed in 5 shelves.

According to statement

The number of books (n) is 8

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Now, we find the ways by which the 8 books be placed in 5 distinguishable shelves

From Permutation formula

P(n,r) = n! / (n-r)!

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P(n,r) = (8*7*6*5*4*3*2*1) / (3*2*1)

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P(n,r) = 6720

So, there are 6720 ways by 8 distinguishable books be placed in 5 shelves.

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