Answer:
40 hours will it take for the pool to fill.
Step-by-step explanation:
A pump can fill a swimming pool in 8 hours.
Work done by pump to fill in 1 hour is 
The pool also has a drain that can empty the pool in 10 hours.
Work done by pump to drain in 1 hour is 
If someone turns on the pump to fill the pool, but forgets to shut the drain.
Work done by both pipe in 1 hour is




Both pipe filled
part of pool in hours = 1
Both pipe filled complete pool in hours = 
Therefore, 40 hours will it take for the pool to fill.
Answer:
x=8
NR=5 units
BI=10 units
Step-by-step explanation:
In a rectangle BRIA
AN=5 units
NR=x-3
We have to solve for x , NR and BI.
We know that
Diagonals of rectangle bisect to each other.
BI and AR are the diagonals of rectangle BRIA and intersect at point N.
AN=NR



Substitute the value of x
NR=8-3=5
By property of rectangle
BI=AR=AN+NR=5+5=10 unit
BI=10 units
Answer:
11 cans
Step-by-step explanation:
Since you know that the ceiling is in the shape of a square and each side is 55ft, you can multiply 55x55 to get 3075, which is divided by 275 due to the amount of paint in a can. It would result in 11 cans, but if it were a decimal like 11.3, then you would need 12 cans since you can't split a can.
Answer:
J) is multiplied by 4
Step-by-step explanation:
Answer:

Step-by-step explanation:
apply the inverse properties of logarithmic and exponential functions to simplify

all logs has base 'e'
Inverse property of log says that
, the value of ln e=1
we apply this property in our problem. ln has same base 'e' . ln and 'e' gets cancelled

