The value of X is 1/3 and Y is 1/2 and Z is 1/4.
According to the statement we have given the equations which are
X + Y = 5XY -(1)
Y + Z = 6YZ -(2)
Z + X = 7XZ -(3)
and we have to find the value of X,Y,Z.
So, solve the equations for the X,Y,Z
From (1) equation
Y = X / (5X-1) -(4)
From (3) equation
Z = X / (7X-1) -(5)
Put (4) and (5) in (2) then
X / (5X-1) + X / (7X-1) = 6{[X / (5X-1)][X / (7X-1)]}
X(7X-1) + X(5X-1) = 6{[X / (5X-1)][X / (7X-1)]} / {[1 / (5X-1)][1 / (7X-1)]}
Then after solving
12(X)^2 -2X = 6(X)^2
6(X)^2 -2X = 0
X (6X-2) = 0
X = 0, X = 1/3
Here X = 0 is neglected.
So, X=1/3 -(6)
Put (6) in (4) and (5) then
From 4
Y = X / (5X-1)
Y = (1/3) / (5(1/3)-1)
Y = (1/3) / (2/3)
Y = 1/2.
From (5) equation
Z = X / (7X-1)
Z = (1/3) / (7(1/3)-1)
Z = (1/3) / (4/3)
Z = 1/4.
So, The value of X is 1/3 and Y is 1/2 and Z is 1/4.
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Answer:
b = 14-4
Step-by-step explanation:
Let the number of black bugs be b
Let the number of green bugs be g
If 14 bugs are crawling on the step, then;
b + g = 14 ....1
If there are 4 green bugs, then g = 4
Substitute g = 4 into the equation
b + g = 14
b + 4 = 14
b = 14 - 4
Hence the sentence that can be required to find the number of black bugs is b = 14-4
Answer:
-1, 2, 6
Step-by-step explanation:
We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).
Now, we have,
⇒
⇒
⇒
⇒
⇒ or,
If, (x-2)(x-6) =0, then x=2 or x=6
If, , then
and (x-6)(x+1) =0
Therefore, x=6 or -1
So the solutions for x are -1, 2 6. (Answer)
Answer:
31/37
Step-by-step explanation:
There are 15 + 7 + 9 + 6 = 37 total stickers. Of those, 15 + 9 = 24 are small and 15 + 7 = 22 are stars. However, there are 15 small stars so 24 - 15 = 9 of them are only small and 22 - 15 = 7 are only stars. This means that there are 15 + 9 + 7 = 31 stickers that are small or stars, therefore the probability is 31/37.
Answer:
D.
Step-by-step explanation:
i hope im right