Answer:
(6, 2.5 )
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k substitute the coordinate point (5, 3 ) into the equation, that is
3 = 
( multiply both sides by 5 )
15 = k
y = 
← equation of variation
Using (x, 2.5 ) with y = 2.5 , then
2.5 = ( multiply both sides by x )
2.5x = 15 ( divide both sides by 2.5 )
x = 6
Thus point is (6, 2.5 )
Given:
The equation is
To find:
The formula where x is the subject of the given formula.
Solution:
To make x the subject of the formula, we need to isolate the variable x.
We have,
Subtracting p from both sides, we get
Therefore, the required formula of x is .
I take it we aren't solving for x.
So
2x + 28 + 9 - 5
2x + 28 + 4
2x + 32.
5 noble fir and 3 douglas fir = $ 420
12 noble fir and 9 douglas fir = $ 1080
Let noble fir be n, and douglas fir be d.
5n + 3d = 420 ..............(i)
12n + 9d = 1080 ...............(ii)
Multiply equation (i) by 3.
3*(5n + 3d) = 3*(420)
15n + 9d = 1260 .............(iii)
Equation (ii) minus (iii)
(12n + 9d) - (15n + 9d) = 1080 - 1260
12n - 15n + 9d - 9d = -180
-3n = -180
n = -180/-3 = 60
Substitute the value of n in (i) 5n + 3d = 420
5*(60) + 3d = 420
300 + 3d = 420
3d = 420 - 300 = 120
3d = 120
d = 120/3 = 40
Therefore Noble fir tree cost $60 while Douglas fir tree cost $40
Answer:
I and III
Step-by-step explanation:
