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Darya [45]
3 years ago
5

If 5/9 of a tank can be filled in 2 minutes how many minutes will it take to fill the whole tank

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

3 3/5 minutes

Step-by-step explanation:

Let one measure of volume be 5/9 of a tank, or (5/9)(tank).

We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.

Write and solve an equation of ratios:

 (5/9) (tank)        2 minutes

------------------- = ----------------

  (9/9) (tank)               x

Solve for x, which represents the number of minutes required to fill the whole tank:

(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3  3/5 minutes)

The whole tank will be filled in 3  3/5 minutes.

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Answer:

y=-\frac{158}{579}

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]

And the vector B is formed with the solution of each equation of the system:b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called A_{2}.

A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]

The value of y using Cramer's rule is:

y=\frac{det(A_{2}) }{det(A)}

Find the value of the determinant of each matrix, and divide:

y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}

y=-\frac{158}{579}

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Answer:

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Step-by-step explanation:

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