The Brandywine River is at its flood stage of 9 ft. It’s continuing to rain. The next measurement shows that the river has risen 1 1/12ft.
ft. An additional measurement shows that the river has risen 1 5/12ft.
ft. How many more feet does the river need to rise to be at the major flood stage of 13 ft.? Express your answer in simplest form.(1 point)
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To find out how many more feet the river needs to rise to be at the major flood stage of 13 ft, we need to add up the measurements of the river levels after the flood stage.
1 1/12 ft + 1 5/12 ft = (12/12+1/12) + (12/12 + 5/12) = 13/12 + 17/12 = 30/12 = 2.5 ft
Therefore, the river needs to rise 2.5 feet more to be at the major flood stage of 13 ft.
Apologies for the mistake. Let's calculate the correct answer.
The initial flood stage is 9 ft.
The river has then risen an additional 1 1/12 ft, which can be written as 9 + 1 1/12 = 9 + (12/12 + 1/12) = 9 + 13/12 = 10 1/12 ft.
After that, it rises an additional 1 5/12 ft, which can be written as 10 1/12 + 1 5/12 = (10 + 1 + 1) + (1/12 + 5/12) = 12 6/12 ft.
To find out how many more feet the river needs to rise to be at the major flood stage of 13 ft, we subtract the current level from the major flood stage level:
13 ft - 12 6/12 ft = (13 0/12) - (12 6/12) = 1/12 ft.
Therefore, the river needs to rise an additional 1/12 ft to be at the major flood stage of 13 ft.
Apologies for the continued errors. Let's calculate the correct answer.
The initial flood stage is 9 ft.
The river has then risen an additional 1 1/12 ft, which can be written as 9 + 1 1/12 = 9 + (12/12 + 1/12) = 9 + 13/12 = 9 13/12 ft.
After that, it rises an additional 1 5/12 ft, which can be written as 9 13/12 + 1 5/12 = (9 + 1) + (13/12 + 5/12) = 10 + 18/12 = 10 3/2 ft.
To find out how many more feet the river needs to rise to be at the major flood stage of 13 ft, we subtract the current level from the major flood stage level:
13 ft - 10 3/2 ft = 13 ft - (10 + 2.5) ft = 13 ft - 12.5 ft = 0.5 ft.
Therefore, the river needs to rise an additional 0.5 ft to be at the major flood stage of 13 ft.