Answer: It will take the largest pipe 5.5 hours to fill the swimming pool alone.
It will take the smallest pipe 16.5 hrs to fill the swimming pool alone.
It will take the other pipe 11 hours to fill the pool alone.
Step-by-step explanation: let time needed to fill the swimming pool by the largest pipe be x ... eq (1)
Let time needed to fill the swimming pool by the smallest pipe be 3x ... eq(2)
Let time needed to fill the swimming pool by the other pipe be 2x ...eq(3)
The job to be done (to fill a swimming pool) be 3/x +3/3x+3/2x=1 ... eq(4)
Multiply 6x on both sides you will get:
6(3)+2(3)+3(3)=6x
18+6+9=6x
33=6x
33/6=x
X=5.5hours
Substitute x=5.5 into EQ 2 and 3
3x=3×5.5=16.5hours
2x=2×5.5=11hours
Check: substitute the value of x into eq3/5.5+3/16.5+3/11
0.545+0.182+0.273=0.9997=1
Answer:
1/25
Step-by-step explanation:
5^-2=1/5^2
1/5^2=1/25
I dot Kano she did hey Eleuthera Doric when did the e. R she r brier rbebdhdhd
namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.
so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.
Answer:
1x6 + 100
106
Step-by-step explanation: