Answer:
36000 different ways
Step-by-step explanation:
If we have 5 boys and 3 girls, the total number of people we have will be 5+3 = 8 people. If there are no restrictions, this 8 people can be arranged in 8! different ways.
8! = 8*7*6*5*4*3*2*1
8! = 40,320 ways.
If 3 of the girls are to sit together, then we will take the girls as an entity. The total number of people if the girls are treated as one will be 5 boys and a girl which is 6. They can all be arranged in 6! ways but also note that the 3 girls can be rearranged among themselves in 3! ways. The total number of arrangement if the 3 girls are to sit together will be 6!*3!.
6!*3! = 6*5*4*3*2*3*2
6!*3! = 4320 different ways
The number of different ways if no girls are to seat together = 8!- (6!*3!)
= 40,320 - 4,320
= 36000 different ways
Answer:
36/45 and 35/45
Step-by-step explanation:
5 and 9's least common denominator is 45 and to get to that you need to multiply both top and bottom of how to get to 45. How I got to 45 the easiest way is to keep multiplying both numbers until the reach the same product. In this case for 4/5, you multiply it by 9 for top and bottom. And for 7/9, it would be multiplying by 5 for top and bottom which will get you both of the answers. Hopefully this answers your question.
First we are going to express both equation in terms of

to compare their slopes:
For our first equation:



For our second equation:


So now we have our system of equations in terms of y:

Notice that the slope, the coefficient of

, in both equations is the same: 1, and if tow linear equations have the same slope, they are parallel.
We can conclude that we can classify the system of equations as
parallel.
<span>1 2 3 4 6 9 12 18 27 36 54
so
1x108
2x54
3x36
4x27
6x18
9x12
</span>
Answer:
=36.0
Step-by-step explanation:
We use the sine rule to find the missing sides as follows;
Lets find the missing angle C by using the summation of interior angles in a triangle.
C=180-(44+48)
=88°
Then,
a/Sin A=c/Sin C
25/Sin 44=c/Sin 88
c=(25 Sin 88)/Sin 44
c=35.97
The side c=36.0 to the nearest tenth.