A bucket holds 121.4 ounces (oz) of water when full. The bucket loses 0.04 oz of water per second. In how many seconds will the
1 answer:
We have been given that a bucket holds 121.4 ounces (oz) of water when full.
Further, we know that the bucket loses 0.04 oz of water per second.
We need to find the time when bucket will be 60% of its full volume.
Let us first find 60% of its full volume:
If we assume that bucket will be 60% of its full volume after x seconds, we can set up an equation:
Therefore, it will take the bucket 1214 seconds to get to 60% of full.
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Answer:
Different ways to solve a system of linear equations:
- isolate one variable in one equation and replace it in the other equation
- multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
- graph the equation and look at the intersection point
If you graph the system:
- there is only one solution if the lines intersects at only one point
- there is no solution if the lines don't intersect each other (they are parallel)
- there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)
Step-by-step explanation:
1st system
y = -x – 7
y = 4/3 x – 7
solution: x= 0, y = 7
2nd system
y = -3x – 5
y = x + 3
solution: x = -2, y = 1
3rd system
y = -2x + 5
y = 1/3 x – 2
solution: x = 3, y = -1
4th system
3x + 2y = 2
x + 2y = -2
solution: x = 2, y = -2
5th system
x + 3y = -9
2x – y = -4
solution: x = -3, y = -2
6th system
x – 2y = 2
-x + 4y = -8
solution: x = -4, y = -3
7th system
5x + y = -2
x + y = 2
solution: x = -1, y = -3
