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schoolبكالوريوس
event_available2026-07-14
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Question 7
4 points Save Answer
Pipes R, S, and T are connected to the same tank. When all three pipes are running, they can fill the tank in 2 hours. When only pipes S and T are
running, they can fill the tank in 6 hours. When only R and T are running, they can fill the tank in 2.4 hours. How long would it take each pipe
running alone to fill the tank?
Hint: If in 1 hour x is the amount of the tank filled by pipe R, y the amount filled by pipe S, and z the amount filled by pipe T, then use the equation
below.
x + y + z =
a. It would take pipe R 3 hours, pipe S 12 hours, and pipe 7 10 hours to fill the tank running alone.
b. It would take pipe R 3 hours, pipe S 13 hours, and pipe 7 10 hours to fill the tank running alone.
c. It would take pipe R 3 hours, pipe S 12 hours, and pipe 7 11 hours to fill the tank running alone.
d. It would take pipe R 3 hours, pipe S 13 hours, and pipe 7 12 hours to fill the tank running alone.
e. It would take pipe R 3 hours, pipe S 12 hours, and pipe 7 12 hours to fill the tank running alone.
Question 3
4 points
Matrices were used to solve a system of two linear equations. The final matrix is shown here. What does the result tell about the system?
1 3
0 0
6
a. The system has no solution. It is inconsistent.
b. The system has infinitely many solutions. The equations are dependent.
c. The system has exactly one solution.
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