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RSB [31]
4 years ago
5

Find the difference between 8/15 and- -2/3. Show all calculations in your final answer.

Mathematics
2 answers:
grandymaker [24]4 years ago
7 0
8/15 - (-2/3)
Its like adding them when its -(-#), so we turn it into 8/15 + 2/3
Now we make each fraction have the same denominator; 8/15 + 10/15
Now we solve by adding; 18/15 = 1 1/5
Oxana [17]4 years ago
4 0

Answer:

1 1/5

Step-by-step explanation:

LCD = 15

8/15 + 2*5/3*5

8/15+10/15

8+10/15

18/15

6/5

1 1/5

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Please help!! <br> Solve the system using an augmented matrix. Show all work
marishachu [46]

Answer:

<em>The solution of the system is:  x=2, y=5</em>

Step-by-step explanation:

The given system of equations is.......

-x-3y=-17\\ \\ 2x-6y=-26

So, the augmented matrix will be:   \left[\begin{array}{cccc}-1&-3&|&-17\\2&-6&|&-26\\\end{array}\right]

Now, we will transform the augmented matrix to the reduced row echelon form using row operations.

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<u>Row operation 2:</u>  Add -2 times the 1st row to the 2nd row. So.......

\left[\begin{array}{cccc}1&3&|&17\\0&-12&|&-60\\\end{array}\right]

<u>Row operation 3:</u>  Multiply the 2nd row by -\frac{1}{12}. So.......

\left[\begin{array}{cccc}1&3&|&17\\0&1&|&5\\\end{array}\right]

<u>Row operation 4:</u>  Add -3 times the 2nd row to the 1st row. So........

\left[\begin{array}{cccc}1&0&|&2\\0&1&|&5\\\end{array}\right]

Now, from this reduced row echelon form of the augmented matrix, we can get that x=2 and y=5

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3 years ago
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Answer:

513 people per square mile

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because

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