Answer: Time at which the meet = 10:17:24 am
Step-by-step explanation: Speed of Ivan = 12 mph
Speed of Kate = 16 mph
Total distance traveled = Initial separation = 40 miles
Ivan leaves his house at 8:00 a.m and Kate leaves her house at 9:30 a.m
If t is the time of catch up after Ivan starting, time taken by Kate is t - 1.5,
We have
Distance = Speed x Time
Total distance traveled = Distance traveled by Kate + Distance traveled by Ivan
40 = t x 12 + (t-1.5) x 16
40 = 28t - 24
28t = 64
t = 2.29 hours
So after 2.29 hours of Ivan's starting they meet,
Time = 8:00 am + 2.29 hours = 10:00 am + 0.29 x 60 minutes = 10:17am + 0.4 x 60 seconds = 10:17:24 am
Time at which the meet = 10:17:24 am
1. 2.4 = 12/5 Rational
2. 74 = 74/1 rational
3. 17.333...=52/3 rational
4. pi can not be expressed as a fraction so irrational
5. 5 6/11 = 61/11 rational
6 -18 = -18/1 rational
7. 0.6=6/10 rational
...
Everything is rational other than number four
-60 is negative so the 2 facotrs are different signs
11 is positive so therefor te positive factor is bigger than negative
list all factors and add and find which add to 11
60-1=59 nope
30-2=28 nope
20-3=17 nope
15-4=11 yep
factors are 15 and -4
Answer:
D. x≥ 9
Step-by-step explanation:
√x-9 should be ≥ 0
so, x-9≥0
=> x ≥ 9