Respuesta :
The question seems incomplete. Below is probably what you intended:
Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per day. there are 7.5 gallons in 1 cubic foot. use this information to complete parts (a) and (b) below.
a. find the flow rate in units of cubic feet per second (cfs).
b. compare this flow rate to a river with an average flow rate of 30,000 cfs. the flow rate is cfs, which is approximately
_ % of the flow rate of the river. (round to the nearest whole number as needed.)
Answer:
a. The flow rate of water into the city (due to hurricane) = 12,346 cubic feet per second
b. The average flow rate of the river is greater than that which is the aftermath of a hurricane by 17,654 cubic feet per second.
The percentage of the flow rate of water (caused by hurricane) with respect to the average flow rate of the river is 41%. This means that, if the average flow rate of the river is 100, then the flow rate of the water caused by hurricane is just 41 out of the river's 100
Step-by-step explanation:
Since there are 24 hours that make 1 day, we will then find the number of minutes that make up 24 hours (a day).
1 hour -------- 60 minutes
24 hours--------- ? minutes
= 24/1 × 60
= 1440 minutes (in 24 hours)
Since 60 seconds make up a minute, let's find how many seconds in 1440 minutes.
1 minute -------60 seconds
1440 min-------- ? seconds
= 1440/1 × 60
= 86,400 seconds (in a day)
Since 8 billion gallons of water flow into the city every 86,400 seconds, we can find how many gallons that flow in every second.
in 86,400 sec -------- 8billion gallons
in 1 second ---------- ? gallons
= (1/86,400) × (8000000000)
= 92,592.59 gallons flow into the city per second.
If 7.5 gallons of water make 1 cubic feet of water, let's now calculate the number of cubic feet that 92,592.59 gallons make.
7.5 gallons ------ 1 cubic ft
92,592.59 gallons ------ ? cubic feet
= (92,592.59/7.5) × 1
= 12,345.68 cubic feet.
This means that the flow rate of water into the city in the aftermath of a hurricane is 12,345.68 ft^3/s.
Again, if the average flow rate of a river is 30,000 cubic feet per second (30,000 ft^3/s), it means that the average flow rate of a river is greater by 17,645.32 ft^3/s.
That is : 30,000 - 12,345.68 = 17,654.32ft^3/s.
Now, let us find the percentage of the flow rate of water into the city (due to hurricane) in relation to the average flow rate of a river.
But again, recall that the flow rate of water into the city (due to hurricane) = 12,345.68ft^3/s and the average flow rate of a river = 30,000ft^3/s
The percentage of the former with respect to the later is then
(12,345.68/30,000) × 100
= 41.15% = 41%(to the nearest whole number)
