Answer:
1260 cubic cm
Step-by-step explanation:
Let V be the required volume:
12:00 P.M. to 7:00 P.M. is a total of 7 hours.
4:00 P.M. to 7:00 P.M. is a total of 3 hours.
This means that from 4:00 p.m to 7:00 P.M. this represents 3/7 of what was lost from 12:00 P.M. to 7:00 P.M.
After knowing this, after doing 11,600 - 6,800 = 4,800
4,800 represents 3/7 of what was lost for 7 hours.
We then divide 4,800 by 3 which gets 1,600.
Because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200. After adding 11,200 to how much water was left at 7:00 P.M. which was 6,800. 11,200 + 6,800 = 18,000
This means that the pool originally had 18,000 gallons in the pool.
You can also check your work by doing 18,000 - 4(1600), which becomes 1800 - 6400 which gets you 11,600.
Answer:
99
Step-by-step explanation:
x = 90 x 10/100 + 90
=> x = 900/100 + 90
=> x = 9 + 90
=> x = 99
Answer:
x = 4
Step-by-step explanation:
12x - 14 = 34
Add 14 to both sides
12x = 48
Divide both sides by 12
x = 4
Given:
length 30 inches
k = 24
v = l * w * h
volume varies directly w/ the length: v = kl
v = 24 * 30 = 720
k = wh
24 = wh
w = 24/h or h = 24/w
P = 2w + 2h
20 = 2w + 2h
20 = 2(24/h) + 2h
20 = 48/h + 2h
48/h + 2h - 20 = 0
h(48/h + 2h - 20) = 0
48 + 2h² - 20h = 0
2h² - 20h + 48 = 0
2(h² - 10h + 24) = 0
2(h - 6)(h - 4) = 0
h = 6 or h = 4
Since the height serves as the length in the perimeter equation, then its measure is 6 and width is 4.
length = 30 ; width = 4 ; height = 6.