Answer: 11/12
Step-by-step explanation: Notice that 7/12 and 1/3 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 12 and 3 will be the least common multiple of 12 and 3 which is 12.
The fraction 7/12 already has a 12 in the denominator so we leave it alone.
To get a 12 in the denominator of 1/3, we multiply both the numerator and the denominator by 4 and we get the equivalent fraction 4/12.
Now we are adding like fractions.
To add like fractions, we simply add across the numerators.
7/12 + 4/12 = 11/12
Therefore, 7/12 + 1/3 = 11/12.
The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
<h3>What is the rate of speed?</h3>
The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,
r=d/t
Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.
The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

As t is same, thus put the value of t in this equation,

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
Learn more about the rate of speed here:
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Answer:
answer is b
Step-by-step explanation:
i hope this helps you
Answer:
chancing for wining is 54%.
Step-by-step explanation:
possible outcomes can be given as
HHH *
HHM *
HMH
MHH *
HMM
MHM
MMH
MMM
Out of those, only 3 will have the participant win the game:
HHH, HHM, MHH.
Probability (HHH) + Probability (HHM) + Probability (MHH)
since attempts are independant.
Probability (HHH) = 0.9 *0.4 *0.9 = 0.324
Probability (HHM) = 0.9 *0.4 *0.3 = 0.108
Probability (MHH) = 0.3 *0.4 *0.9 = 0.108
Add them up and get = (0.324+ 0.108+0.108) = 0.54
hence, chancing for wining is 54%.
First you cancel 7 and 28, and 3 and 9, so that leaves you with 4/3 x 15/17, then you cancel 3 and 15 so you get 4x5/17 which should give you 20/17!