Answer:
The fraction of passengers remaining on the bus is 5/21
Step-by-step explanation:
To answer this question, we should choose any arbitrary value for the number of passengers on the bus initially.
We should have in mind that whatever value we shall be choosing, it should be a multiple of 3 and 7 since that is what we shall be dividing with.
Now, let’s choose the value 42 for the number of passengers originally at the on the bus.
At the first stop, 1/3 of the passengers exit. The number of passengers that exited will be 1/3 * 42 = 14
At the second stop, the number of passengers that exited is 3/7 of original. That would be 3/7 * 42 = 18 passengers
The total number of passengers that this have exited since we do not have any new addition to the original number is 18 + 14 = 32 passengers
Now the number remaining on the bus will be 42 - 32 = 10 passengers
This is equal to a fraction of 10/42 = 5/21
Answer:
2160 cm³/hour
Step-by-step explanation:
By default, we know that the volume of a cube is given as s³
Thus, the Volume function, V = s³
When we differentiate with respect to time we have
dV/dt = 3s² (ds/dt), where ds/dt = 0.2
Then we go ahead and substitute all the given parameters
dV/dt = 3 x 60 x 60 x 0.2
dV/dt = 10800 * 0.2
dV/dt = 2160 cm³/hour
This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm
