Answer:
27 boys
Step-by-step explanation:
The ratio of boys to girls is 3 to 6. The total is (3+6) is 9.
Using the ratio of boys to total (3 to 9), we set it equal to the ratio of boys to total students (81)
3 b
---- = -------------
9 81
We can solve this using cross products.
3*81 = 9b
243 = 9b
Divide each side by 9
243/9 =9b/9
27 =b
There are 27 boys
Answer:
The word "ARRANGE" can be arranged in
2!×2!
7!
=
4
5040
=1260 ways.
For the two R's do occur together, let us make a group of R's taking from "ARRANGE" and permute them.
Then the number of ways =
2!
6!
=360.
The number ways to arrange "ARRANGE", where two "R's" will not occur together is =1260−360=900.
Also in the same way, the number of ways where two "A's" are together is 360.
The number of ways where two "A's" and two "R's" are together is 5!=120.
The number of ways where neither two "A's" nor two "R's" are together is =1260−(360+360)+120=660.
Step-by-step explanation:
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Answer:
Option A:
is the correct answer.
Step-by-step explanation:
Given that:
Slope of the line = 
Let,
m be the slope of the line perpendicular to the line with slope 
We know that,
The product of slopes of two perpendicular lines is equals to -1.
Therefore,

Multiplying both sides by 

m = 
is the slope of the line perpendicular to the line having slope
Hence,
Option A:
is the correct answer.
Answer: -21
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