Solution-
First 9 letters of alphabet are- A,B,C,D,E,F,G,H,I
Total number of ways of selection of 4 letters from 9 alphabets = 9C4
=9!÷((4!).(9-4)!) = 9!÷(4!×5!) = (9×8×7×6)÷(24) = 126
The number of ways of arranging these 4 numbers = 4! = 24
∴ Total number of possible permutations = 9C4×4! = 126×24 = 3024
∴ option number 2 is correct.
Answer:
1/3x
Step-by-step explanation:
Subtract x by x and y by y to find the distance/difference
36 163
24, 127
= 12/36 = rise/run
Now reduce to find the slope, reduce until you can't anymore.
12/36
6/18
3/9
1/3 (that's your slope)
Cody ALONE = 8 hours
Kaitlyn ALONE = 6 hours
Let Joseph ALONE take j hours
Cody ALONE in 1 HOUR = 1/8 of the work Kaitlyn ALONE in 1 hour = 1/6 of the work Joseph ALONE in 1 HOUR = 1/j of the work
Since TOGETHER they take X hours, in 1 hour TOGETHER they complete 1 / X of the work
1/8 + 1/6 + 1/j = 1/X
1/j = 1/X - 1/8 - 1/6 = (24 - 3X - 4X ) /24X = (24 - 7X ) / 24X
j = 24X / ( 24- 7X )
After completing the work value of X will be known , calculate j from the above formula ANSWER
Answer:
105 degrees
Step-by-step explanation:
You need to understand the properties of corresponding angles and supplementary angles.
Answer: Paul gets £186
Step-by-step explanation:
Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.
1/2 * 1/3 = 1/6
So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.
1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6
Now, divide 620 by 1 4/6 to find Malachy’s amount.
620/1 4/6 = 372
Now, divde 372 by 2 to get Paul’s amount.
372/2 = 186
