3 years ago

One more for today since I couldn’t find the answer

Mathematics

1 answer:

Luda [366]3 years ago

7 0

The answer would be -15
12 + -15 = -3

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The sum of the reciprocal of two consecutive odd integers is 44/483.Write a rational equation to solve the problem.

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Answer:

Step-by-step explanation:

Let consecutive odd integers be (2x + 1) and (2x + 3)

Their reciprocals are $\frac{1}{2x + 1 }$ and $\frac{1}{2x + 3 }$

$\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\$

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483*4x + 483*4 = 44*4x² + 44*8x + 44*3

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176x² + 352x + 132 -1932x - 1932 = 0

Combine like terms

176x² + 352x - 1932x - 1932 + 132 = 0

176x² - 1580x - 1800 = 0

Divide the equation by 4

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3 years ago

George places 35 books on 7 shelves each shelf holds the same number of books which equations can be used to find how many books

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4 years ago

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