To find how much is in the pull in 11 hours, we can plug 11 in for t
W = 9000 -250(11)
W = 9000 - 2750
W = 6250 gallons
To find how long it will take to empty the pool, we can set the gallons equal to 0
0 = 9000 - 250t
To solve for t, we will first subtract both sides by 9000
-9000 = -250t
We will then divide both sides by -250
t = 36 hours
2/3(x-7)=-2
2/3x-14/3=-2
2/3x=-2+14/3
2/3x=-6/3+14/3
2/3x=8/3
3/2(2/3x)=8/3(3/2)
6/6x=24/6
x=4
The answer simplified is 5x^2y
Answer:
2, 4
Step-by-step explanation:
Let there are two unknown consecutive pairs of even integers 2n and 2n+2.
If the sum of the reciprocals of those two integers is 3/4, then we can write,
1/2n +1/(2n+2) =3/4 ...... (1)
Solving this above equation we can check whether the integers exist or not.
Now, from equation (1) we get,
1/n +1/(n+1) =3/2
⇒
⇒4n +2 =3n²+3n
⇒3n²-n-2 =0
⇒ (n-1)(3n+2) =0
⇒ (n-1) =0 {Since if (3n+2) =0 then, n will be a negative fraction, which is not possible}
⇒ n=1
∴ 2n =2 and 2n+2 =4
Hence, the two integers are 2, 4. (Answer)