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:
5
Step-by-step explanation:
The nth term of a geometric series is:
a_n = a₁ (r)^(n-1)
where a₁ is the first term and r is the common ratio.
Here, we have:
40 = a₁ (r)^(4-1)
160 = a₁ (r)^(6-1)
40 = a₁ (r)^3
160 = a₁ (r)^5
If we divide the two equations:
4 = r^2
r = 2
Now substitute into either equation to find a₁:
40 = a₁ (2)^3
40 = 8 a₁
a₁ = 5
8.10/2 + 2.3 = 46 total area is 46
Looking at h and k values.
The vertex of a parabola ( h, k) is the point at which the parabola intersects the axis of symmetry.
Every parabola is symmetric about its axis, which means that if it were folded along its axis, the two parts would match. The fold or line that divides the parabola into two matching halves is called the axis of symmetry.
The axis of symmetry occurs at x = h.
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