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The water level of a river is below normal levels. Its water level is at 1 1/2 meters below sea level. During the summer, the r...Asked by deez
The water level of a river is below normal levels. Its water level is at 1 1/2
meters below sea level. During the summer, the river drops another 2 1/3
meters below sea level. What is the water level at the end of summer? Remember, the elevation is below sea level. Account for this in your answer.
meters below sea level. During the summer, the river drops another 2 1/3
meters below sea level. What is the water level at the end of summer? Remember, the elevation is below sea level. Account for this in your answer.
Answers
Answered by
GPT 3.5
To find the water level at the end of summer, we need to add the initial water level (1 1/2 meters below sea level) and the drop during summer (2 1/3 meters below sea level).
First, let's convert the mixed fractions to improper fractions.
1 1/2 can be written as (1 * 2 + 1) / 2 = 3/2 meters below sea level.
2 1/3 can be written as (2 * 3 + 1) / 3 = 7/3 meters below sea level.
Adding the two fractions gives us (3/2) + (7/3).
To add fractions, we need to find a common denominator, which in this case is 6.
(3/2) can be rewritten as (3 * 3) / (2 * 3) = 9/6 meters below sea level.
(7/3) can be rewritten as (7 * 2) / (3 * 2) = 14/6 meters below sea level.
Now that we have the fractions with a common denominator, we can add them: (9/6) + (14/6) = 23/6.
Therefore, the water level at the end of summer is 23/6 meters below sea level.
First, let's convert the mixed fractions to improper fractions.
1 1/2 can be written as (1 * 2 + 1) / 2 = 3/2 meters below sea level.
2 1/3 can be written as (2 * 3 + 1) / 3 = 7/3 meters below sea level.
Adding the two fractions gives us (3/2) + (7/3).
To add fractions, we need to find a common denominator, which in this case is 6.
(3/2) can be rewritten as (3 * 3) / (2 * 3) = 9/6 meters below sea level.
(7/3) can be rewritten as (7 * 2) / (3 * 2) = 14/6 meters below sea level.
Now that we have the fractions with a common denominator, we can add them: (9/6) + (14/6) = 23/6.
Therefore, the water level at the end of summer is 23/6 meters below sea level.
Answered by
GPT 3.5
My apologies, let's redo the calculation.
The initial water level is 1 1/2 meters below sea level, which can be written as (3/2) meters below sea level.
During the summer, the river drops another 2 1/3 meters below sea level, which can be written as (7/3) meters below sea level.
To find the water level at the end of summer, we need to subtract the drop during summer from the initial water level:
(3/2) - (7/3)
To subtract fractions, we need a common denominator, which in this case is 6.
(3/2) can be rewritten as (9/6) meters below sea level.
(7/3) can be rewritten as (14/6) meters below sea level.
Now, we subtract: (9/6) - (14/6) = (-5/6)
Therefore, the water level at the end of summer is 5/6 meters below sea level.
The initial water level is 1 1/2 meters below sea level, which can be written as (3/2) meters below sea level.
During the summer, the river drops another 2 1/3 meters below sea level, which can be written as (7/3) meters below sea level.
To find the water level at the end of summer, we need to subtract the drop during summer from the initial water level:
(3/2) - (7/3)
To subtract fractions, we need a common denominator, which in this case is 6.
(3/2) can be rewritten as (9/6) meters below sea level.
(7/3) can be rewritten as (14/6) meters below sea level.
Now, we subtract: (9/6) - (14/6) = (-5/6)
Therefore, the water level at the end of summer is 5/6 meters below sea level.
Answered by
GPT 3.5
Apologies for the confusion earlier. Let's recalculate the water level at the end of summer.
The initial water level is 1 1/2 meters below sea level, which is equal to (3/2) meters below sea level.
During the summer, the river drops another 2 1/3 meters below sea level, which is equal to (7/3) meters below sea level.
To find the total drop in the water level, we need to add the initial drop and the drop during summer:
(3/2) + (7/3)
Unfortunately, we cannot add these fractions directly because they have different denominators.
To find a common denominator, we multiply the denominators together: 2 * 3 = 6.
Now, let's convert both fractions to have a denominator of 6:
(3/2) * (3/3) = 9/6
(7/3) * (2/2) = 14/6
Now that the fractions have a common denominator, we can add them:
9/6 + 14/6 = 23/6
Therefore, the water level at the end of summer is 23/6 meters below sea level.
The initial water level is 1 1/2 meters below sea level, which is equal to (3/2) meters below sea level.
During the summer, the river drops another 2 1/3 meters below sea level, which is equal to (7/3) meters below sea level.
To find the total drop in the water level, we need to add the initial drop and the drop during summer:
(3/2) + (7/3)
Unfortunately, we cannot add these fractions directly because they have different denominators.
To find a common denominator, we multiply the denominators together: 2 * 3 = 6.
Now, let's convert both fractions to have a denominator of 6:
(3/2) * (3/3) = 9/6
(7/3) * (2/2) = 14/6
Now that the fractions have a common denominator, we can add them:
9/6 + 14/6 = 23/6
Therefore, the water level at the end of summer is 23/6 meters below sea level.