Total number of team in starting = 128 teams.
In each round half of the teams are eliminated.
Therefore, number of teams remain after first round = 128/2 = 64.
The number of teams remain after second round = 64/2 = 32.
The number of teams remain after third round = 32/2 = 16.
The number of teams remain after fourth round = 16/2 = 8.
The number of teams remain after fifth round = 8/2 = 4.
<h3>Therefore, after 5 rounds there remain only 4 teams.</h3>
12/x = 52/48
12 * 48 = 52x
x = 11.07 This is one way to do it.
Let the time = x
Let the part of the lawn = y
The general equation
y = k*x
52/100 = k * 12
k = 0.043333
y = 0.043333*x
y = 0.043333* 11.08
y = 0.48 which is what it should be.
Yet another way is to let y = kx
52 = k*12
k = 52/12
k = 4.33333333
y = 4.333333 * x
y = 4.333333 * 48
48 = 4.333333 * x
x = 11.07 which is just what you should expect.
<u>ANSWER</u>
The common ratio is -3.
<u>EXPLANATION</u>
In general, the common ratio of a Geometric Sequence is given by:
We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.
The given sequence is -2,6,-18,54
Using the first two terms the common ratio is
We could also used the second and third terms to get
and so on and so forth.
Therefore the common ratio is -3.
7 Hours. 315 divided by 45 equals 7.
