Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = 
= 
= 
= - 
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × - = - 36
a₆ = - 36 × - = 6
Answer: 17/50
Step-by-step explanation:
First, to add fractions, we must find a common denominator, in this case, 100.
Then, we must make the fractions being added all have the common denominator.
So, we must multiply 3/10 * 10/10, which equals 30/100
30/100 + 4/100
Then, just add across the numerator to get 34/100, which can be simplified to 17/50
I am presuming that the question is who won or by how much did the winner win.
distance equals rate times time, or d = r*t
For the Hare d = 1600 and r = 10
1600 = 10 t
Divide both sides by 10
t = 160
The hare finished in 160 seconds
For the tortoise d = 1600 - 780 = 820 (due to the head start) and r = 5.3
820= 5.3 t
Divide both sides by 5.3
t = 154.72 (rounded to the hundredths place)
The tortoise won by 5. 28 seconds (160-154.72)
9 2/3 - 2 8/10 = 16 13/15
Answer:
32
Step-by-step explanation:
16/20 reduces down to 2/5
set 2/5=x/80
cross multiply 160=5x
divide 32=x
check 2/5=32/80
32/80; 16/40; 8/20; 4/10; 2/5
yay 32 is the answer good luck :)
