Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4,
..........
Ratio of 2nd and 1st term of the sequence = 
Ratio of 3rd and 2nd term of the sequence = 
= 
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' = 
First term of the sequence 'a' = 5
nth term of a geometric sequence = 
Therefore, nth term of the given term will be 
Now we have to find the 10 term of the given sequence.
For n = 10,

= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537
STEP 1:
Total runners originally= 8
# of runners to receive trophies= 4
8-2 drop outs= 6 runners total now
STEP 2:
= # of trophies ÷ total runners now
= 4/6
simplify by 2
= (4÷2)/(6÷2)
= 2/3 runners
ANSWER: 2/3 of the remaining runners will win a trophy.
Hope this helps! :)
Answer:
c.

Step-by-step explanation:
a.

b.

c.

d.

You could also replace x for 8 in every equation and see if both sides give the same answer
Answer:
A w=V/ lh
b) 8cm
Step-by-step explanation:
w=V/ lh
w= 120/(3×5)
w= 120/15 = 8cm