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:
a
Step-by-step explanation:
put it into desmos and you get that
Qualify for free shipping. Earthen red clay costs $0.75
per pound, and porcelain white clay costs $1.10
per pound.
To summarize the situation, the artist writes the inequality:
0.75r+1.1w≥100
, where r
is the number of pounds of earthen red clay, and w
is the number of pounds of porcelain white clay.
Which graph's shaded region shows the possible combinations of earthen red clay and porcelain white clay the artist can buy to qualify for free shipping?
Answer: 1
Step-by-step explanation:
So first isolate x
subtract 8 to both sides to make -x > -2
Flip the signs to make x<2
The only x value less than 2 is 1
Answer is 1
Answer:
x=11.25
Step-by-step explanation:
Given that the measures of each exterior angle in a regular hexagon is (4x + 15)°.
Hexagon means there are 6 sides.
We know that sum of all exterior angles of a regular polygon is always 360 degree.
So if there are n sides of polygon then we can write formula:
nA=360
where n= number of sides = 6
A=(4x + 15)° {given each interior angle is equal to (4x + 15)°}
plug these into above formula:
6(4x + 15)°=360°
4x + 15=60
4x = 45
4x = 45
x=11.25
<u>Hence final answer is x=11.25.</u>