Answer:
(8,5)
Step-by-step explanation:
5x-2y=30
lets substitute "8" as x and see where that takes us
5(8)-2y=30
40-2y=30
subtract 40 on both sides
-2y=-10
divide by "-2" on both sides
y=5
(8,5) is your answer
About 8,456.17849
Rounded: 8,456.18
Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle
Answer:
86400 ways
Step-by-step explanation:
Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.
Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.
After picking the places for the women, we will now fill each gap between two women with a man.
We have 6 men. Thus, number of ways to arrange the men is 6!
Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways
Height = x (This is given)
Length = 5x
Width = 6x
Volume = length × width × height
The equation will be: (5x)(6x)(x) = 1920
simplify:
30x² × (x) = 1920
30x³ = 1920
Divide both sides by 30
x³= 64
x = ∛64
x= 4
If x = height, then, the height is 4cm
5x = length
20cm = length
6x = width
24cm = width
D=LM/(R2+R1)
d(R2+R1)<span>=LM
[</span>d<span>(R2+R1)</span>]/M=L
