A water container is 1/8 full. 35 litres if water are now poured into the container. The container is now 1/4 full.
1 answer:
Answer:
<em>The container can hold 280 liters of water.</em>
Step-by-step explanation:
<u>Proportions</u>
The water originally fills 1/8 of a container. Then 35 lt of water are poured into the container and now it's 1/4 full.
If we subtract the final portion of the tank minus the original portion of the container, we obtain the portion that was poured into.
If 35 liters of water is 1/8 of the tank, then it can hold 35*8 = 280 liters.
The container can hold 280 liters of water.
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Answer: The system of equations is:
x + 2y + 2 = 4
y - 3z = 9
z = - 2
The solution is: x = -22; y = 15; z = -2;
Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.
The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:
- There is a row of all zeros at the bottom of the matrix;
- The first non-zero element of any row is 1, which called leading role;
- The leading row of the first row is to the right of the leading role of the previous row;
For this question, the matrix is a Row Echelon Form and is written as:
or in system form:
x + 2y + 2z = 4
y + 3z = 9
z = -2
Now, to determine the variables:
z = -2
y + 3(-2) = 9
y = 15
x + 30 - 4 = 4
x = - 22
The solution is (-22,15,-2).