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3 years ago

Add. 7 2/15 + 5 2/3 + 9 13/15 20 2/3 21 10/15 21 2/3 22 2/3

1 answer:

5 0

7 2/15 + 5 2/3 + 9 13/15

The only one that needs to be changed a little is 5 2/3 so that it will also have 15 as a denominator.
5 2/3 * 5/5 = 5 10/15

7 2/15 + 5 10/15 + 9 13/15
12 12/15 + 9 13/15
21 25/15

21 25/15
We can simplify this a bit further by dividing the fraction by 5.
21 25/15 = 21 5/3

21 5/3
Now change the improper fraction into a mixed fraction and add the whole number to the current whole number.
5/3 = 1 2/3
21 + 1 2/3 = 22 2/3

The answer is
D. 22 2/3

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3 years ago

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

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Answer:

The solution to the equation system given is:

x = 2
y = -1

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

2x + 3y = 1
2(2) + 3(-1)= 1
4 - 3 = 1
1 = 1

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
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3 years ago

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Answer:

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Step-by-step explanation:

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= -1-(-3+10)-8

= -1-(7)-8

= -1-7-8

= -16

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3 years ago

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