The number of ways can 8 people be seated in a circle if 3 people insist on sitting next to each other is 56 ways.
<h3>How to illustrate the information?</h3>
Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.
Combination formula
nCr = n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time.
This will be:
= 8! / (8 - 3!) 3!
= 8! / 5! 3!
= 8 × 7 × 6 / 3 × 2
= 5
There can be 56 ways.
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Answer:
525cmlong the length of seeds
Answer: Leanna ran 39.96 miles before she was passed by Irina.
Step-by-step explanation:
When Irina would pass Leanna, they would have ran the same distance.
Let t represent the time that Leanna ran before she was passed by Irina.
Distance = speed × time
Leanna started in group E and ran at a rate of 4.8 miles per hour. The distance ran by Leanna before she was passed by Irina is
4.8 × t = 4.8t
During the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes(20/60 = 0.333 hour) after Leanna started. The time spent by Irina in running this distance is
t - 0.333
Distance ran by Irina is
5(t - 0.333) = 5t - 1.665
Since they ran the same distance, then
4.8t = 5t - 1.665
5t - 4.8t = 1.665
0.2t = 1.665
t = 1.665/0.2 = 8.325 hours
Therefore, the distance that Leanna ran before she was passed by Irina is
4.8 × 8.325 = 39.96 miles
I think the correct answer is A. Hope this helps.
19/20, because when you divide 19 into 20 you get... 0.95