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monitta
3 years ago
8

Nathan read 1/6 of a book the first week he had it. the shaded portion of the model below shows the fraction of the book nathan

had read by the end of the second week. what fraction of the book did nathan read during the second week?
it has a graph of 1 circle divided by 6 parts ... 1 part is not shaded and 5 parts are shaded
Mathematics
2 answers:
Lapatulllka [165]3 years ago
5 0
A fraction is a part of a whole.

The whole is in 6 sections. 5 of the sections are shaded. That means the shaded part is 5 out of the 6 total, so the fraction should be 5/6.

Therfore, Nathan read 5/6 of the book during the second week, finishing up the book because he read 1/6 of it the first week. He read 6/6 of the book, the whole thing.

Hope this helps! :)
ahrayia [7]3 years ago
3 0
Nathan read 5/6 of the book in total, 4/6 in the second week and 1/6 in the first week.
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The value is W= 2640 \  ft \cdot lb

Step-by-step explanation:

From the question we are told that

The weight of the bucket is F =  5 lb

The depth of the well is x_1 =  60 \ ft

The weight of the water is W_w  =  42 lb

The rate at which the bucket with water is pulled is v  = 1.5 \  ft/s

The rate of the leak is r = 0.15 lb/s

Generally the workdone is mathematically represented as

W =  \int\limits^{x_1}_{x_o} {G(x)} \, dx]

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G(x) =  F  +  (W_w- Ix)

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I  = \frac{r}{v}

=> I  = \frac{0.15 }{1.5 }

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G(x) =  5  +  (42- 0.1x)

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W =  \int\limits^{60}_{0} {47- 0.1x} \, dx]

=> W =  [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.

=> W= [47(60) - 0.05(60)^2]

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