Answer:
<h2>
The Number of unique permutation is 6,615</h2>
Step-by-step explanation:
This particular permutation deals with words that have repeated letters.
Given word = "ONGOING"
the formula for the permutation is
where n is the amount of letters in the word, and m
A
,
m
B
,
...
,
m
Z are the occurrences of repeated letters in the word. Each m equals the amount of times the letter appears in the word.
So in the word "ONGOING"
n= 7
mO= 2
mN= 2
mG=2
Answer:
12
Step-by-step explanation:
<h3>
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➷ slope = (y2 - y1)/(x2 - x1)
Substitute in the values
slope = (3-8)/(-6-9)
Solve:
slope = 1/3
<h3><u>
✽</u></h3>
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Answer:
The answer is below
Step-by-step explanation:
a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:
60 mi/h = d/x
d = 60x
When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:
40 mi/h = d/(x+1)
d = 40(x + 1) = 40x + 40
Equating both equations:
60x = 40x + 40
60x - 40x = 40
20x = 40
x = 40/20
x = 2 h
The time taken to drive there = x = 2 hours
b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours
c) The distance d = 60x = 60(2) = 120 miles
The total distance to and fro = 2d = 2(120) = 240 miles
The total time to and fro = 2 h + 3 h = 5 h
Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h
The number of miles covered every evening obtujwd using a <em>system of equation</em> is 15 miles.
<u>Let the number of miles per evening</u> = m
- Number of miles per morning = 8 miles
- Total miles covered = 115 miles
<u>Using the expression below :</u>
<em>Number of days(miles per morning + miles per evening) = 115 miles </em>
5(8 + m) = 115
40 + 5m = 115
5m = 115 - 40
5m = 75
m = 75 / 5
m = 15 miles
Therefore, the Number of miles covered per evening is 15 miles.
Learn more : brainly.com/question/18796573
