Step-by-step explanation:
2x+3(-7+3x)=12
x=3
y=-7+3x3
y=2
(x,y)=(3,2)
Given:
y varies directly with x,
It is given that y = 7 when x = -9.
To find:
The value of y when x = 27 for the direct variation.
Solution:
It is given that y varies directly with x, so

...(i)
Where, k is the constant of proportionality.
It is given that y = 7 when x = -9. Putting these values in (i), we get
Putting
in (i), we get

Putting
, we get


Therefore, the required value is
.
Answer:
1/5
Step-by-step explanation:
Total Question no. 5
Three must be answer correctly so 3/5 to pass
and 2/5 to fail
So 1/5 because to pass the test he can answer it correctly only one time
We need 80 liters of 45% alcohol
We have 30% alcohol and 60% alcohol.
This is relatively easy. We need equal amounts of each.
There fore we mix 40 liters of 30% alcohol and 40 liters of 60% alcohol.
It's is the first answer. Move the 14 to the right making it -14. Then add 50 to each side. Make it (x+7)^2(y+1)^2=36. So x is -7, y=-1 and the radius is 36.