C² =16c-32
c²+16c-32=0
(c-4)²=0
c-4 =0
c-4 +4 =0+4
c = 4
b. one rational solution
For this case, the first thing you should do is define a variable.
We have then:
x: number of passengers remaining who can board the plane.
We have as data:
1) They can board up to 149 passengers
2) There are 96 passengers currently aboard.
Writing inequality we have:
Answer:
An inequality that can be used to determine how many more people can board is:
A=1/10, b=1/12, c=1/15 (these are the rates for each worker...)
1.)
2(1/10)+4(1/12)+t/15=1
1/5+1/3+t/15=1
(3+5+t)/15=1
3+5+t=15
8+t=15
t=7
So it would take c 7 hours to finish the job.
2.)
1/40-1/60
(3-2)/120
1/120
The drain rate is 1/60. So you will need to find t when the tank is empty, while starting at 2/3 capacity...
2/3-t/60=0
(40-t)/60=0
40-t=0
t=40
It would take 40 minutes to empty the tank when it is 2/3 full.
Speed=Distance travelled /Time taken=2.5/20=0.125(miles/min)
Time taken=Distance travelled/Speed=10/0.125=80(mins)
Answer:
100 minutes
Step-by-step explanation:
It takes each of the 3 cats about 1 minute to catch one mouse. If the same goes for the 100 cats, it will take them 100 minutes to catch 100 mice.
Hope that helps.