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:
(0,-7)
Step-by-step explanation:
In this question, we need to find an ordered pair of (x,y)
First we need to solve the equation for Y. It will be:
y-3=5(x-2)
y=5x-10 +3
y= 5x -7
Then, using the equation you can find the value of y using the value of x. If x= 0 the calculation will be
y= 5x-7
y= 5(0) - 7
y=-7
The ordered pair will be: (0,-7)
For this case we have to define root properties:
![\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20n%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bn%7D%20%7Bn%7D%7D%20%3D%20a)
In addition, we know that:
On the other hand:
Thus, we can rewrite the given expression as:
ANswer:
Option B
Answer:
The ratio of 25/35 is
Step-by-step explanation:
25/35
=5/7 (both cut by 5)
So, your answer is 5:7
The exponent only applies to the x not the 4
so only the x has permission to move to the denominator
this leaves you with 4/x^3
