Luciana is adding water to a pool at a constant rate. Before she added any water, the pool had $12,000$ gallons of water. Lucian
1 answer:
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Answer:
-3/2, -1
Step-by-step explanation:
Each coordinate contains one value and one
value,
.
If we work out the midpoint of each of these individually, it makes it much easier to find the midpoint of the line.
Let's take the values first. Our first
value is -4 and our second
value is 1. Imagine the integers between -4 and 1 laid out in a sequence:
If you take the middle value of this sequence, you get the midpoint of the values.
In this case, the middle is between values -2 and -1, leaving us with a midpoint of -1.5. This as a fraction is .
Now let's look at the values. Our first
value is 2 and our second
value is -4. Again, let's imagine those numbers laid out in a sequence:
Here, the middle of these values is -1, and this is the midpoint of the values.
So if we put these two values in a coordinate, we get the midpoint of the line.
In this case, we get .
So, we know both faucets open, can do the whole job in 6minutes
ok, how much has the faster cold water faucet done in 1minute then?
well, let's say the the rate of speed of the cold water faucet is "c", so in 1minute it has done 1/c of the whole work
now, we know the hot water faucet is slower, it takes it 3 times as long, that means is 1/3 the speed of the cold water faucet, so, how much does the hot water faucet do in 1min? well, we know is 1/3 fast as the cold one, the cold one is 1/c, what's 1/3 of 1/c? well, 1/3 * 1/c
now, we know they both added together, can do the whole job in 6 minutes, so in 1minute, they've done 1/6 of the job then
thus
ok, how much has the faster cold water faucet done in 1minute then?
well, let's say the the rate of speed of the cold water faucet is "c", so in 1minute it has done 1/c of the whole work
now, we know the hot water faucet is slower, it takes it 3 times as long, that means is 1/3 the speed of the cold water faucet, so, how much does the hot water faucet do in 1min? well, we know is 1/3 fast as the cold one, the cold one is 1/c, what's 1/3 of 1/c? well, 1/3 * 1/c
now, we know they both added together, can do the whole job in 6 minutes, so in 1minute, they've done 1/6 of the job then
thus