-- The filler pipe can fill 1/6 of the pool every hour.
-- The drainer pipe can drain 1/10 of the pool every hour.
-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.
-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties. The difference is (1/6) - (1/10).
To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.
1/6 = 5/30
1/10 = 3/30 .
So in every hour, 5/30 of the pool fills, and 3/30 of the pool empties.
The result of both at the same time is that 2/30 = 1/15 fills each hour.
If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.
If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours. With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted.
I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week. I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.
I hope this did not take place in California.
Find what f(x) is when x = -2
3(-2) - 1 = -7
Find g(x) when x = 5
-(5) + 6 = 1
Add -7 + 1
-7 + 1 = -6
Option A)
Answer:
(a)
and 
Step-by-step explanation:
Required
Which of a to d has no solution
(a) and
We have:
Sole for m
Divide by 6
So, we have:
and
implies that: m = -6,-7,-8,-9.....
implies that m = -3,-2,-1,0.....
<em>Hence, there is no solution</em>
Answer:
q8h dosage = 112.5mg
Step-by-step explanation:
Given
Child Weight = 22.5 kg
Daily Intravenous Dosage = 40mg/kg
Type of Dose = q8h
Required
Calculate the q8h per dose
We start by calculating the total daily dosage in mg
This is calculated by multiplying the child weight by the intravenous dosage
Daily Dosage = 22.5kg * 40mg/kg
Daily Dosage = 900mg
This implies that the body weight requires 900 mg daily
Next is to calculate the q8h dosage
q8h means every 8 hours.
q8h dosage = 900mg/8
q8h dosage = 112.5mg
Answer: 16 miles
Step-by-step explanation:
The car used 1/64 gallons to travel 1/4 miles. To find out how many miles the car can travel using 1 gallon, use direct proportion:
1/64 gallons : 1/4 miles
1 gallon : x miles
Cross multiply:
1/64x = 1/4
x = 1/4 ÷ 1/64
= 1/4 * 64/1
= 16 miles
On one gallon of gas, the car can travel 16 miles.
