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Y_Kistochka [10]
3 years ago
14

Shiva read 1/2 of a book in the morning, and she read some more at night. By the end of the day, she still had 1/3 of the book l

eft to read. How much of the book did Shiva read at night?
Mathematics
2 answers:
Oksana_A [137]3 years ago
6 0

Answer: 1/6 of the book over night

Step-by-step explanation:

Darina [25.2K]3 years ago
4 0

Shiva had read 1/6 of the book that night.

1/2 + n = whole book - 1/3

1/2 + n = 1                   - 1/3 = 3/3 - 1/3

1/2 + n                                    =     2/3

The Lowest Common denominator of 2 and 3 is 6.  Change each fraction to 6ths.

1/2 = 3/6.   and 2/3 = 4/6

So 3/6 + n = 4/6

Subtract 3/6 from each side

3/6 + n - 3/6. = 4/6 - 3/6

          n.           = 1/6

Shiva had read 1/6 of the book that night.

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Here is my solution to this question worked out on paper:

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3 years ago
Apply green’s theorem to evaluate the integral 3ydx 2xdy
Ne4ueva [31]

The value of the integral 3ydx+2xdy using Green's theorem be - xy

The value of    \int\limits_c 3ydx+2xdy  be -xy

<h3>What is Green's theorem?</h3>

Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.

If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then

\int\limits_c Mdx+Ndy = \int\int\〖(N_{x}-M_{y}) \;dxdy

Using green's theorem, we have

\int\limits_c Mdx+Ndy = \int\int\〖(N_{x}-M_{y}) \;dxdy ............................... (1)

Here N_{x} = differentiation of function N w.r.t. x

          M_{y}= differentiation of function M w.r.t. y

Given function is: 3ydx + 2xdy

On comparing with equation (1), we get

M = 3y, N = 2x

Now, N_{x} = \Luge\frac{dN}{dx}

               = \frac{d}{dx} (2x)

              = 2

and, M_{y} = \Huge\frac{dM}{dy}

             = \frac{d}{dy} (3y)

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Now using Green's theorem

= \int\int\〖(2 -3) dx dy

= \int\int\ -dxdy

= -\int\ x dy

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The value of  \int\limits_c 3ydx+2xdy  be -xy.

Learn more about Green's theorem here:

brainly.com/question/14125421

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3 0
2 years ago
Please i need help with this please no trolls!
KonstantinChe [14]

Answer:

the answer is B

Step-by-step explanation:

8 0
3 years ago
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Drupady [299]
I believe it is b! Have a nice day
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3 years ago
Read 2 more answers
What is the result when the number 16 is decreased by 25%
dlinn [17]

Answer:

4

Step-by-step explanation:

Decreasing a percentage from a number can be done by multiplying said number and percentage together. That being said:

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7 0
1 year ago
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