Answer:
30 trees
Step-by-step explanation:
Given the policy:
8 trees are cut down 48 trees will be planted
If homeowner is going to cut down five trees on his property how many trees will be planted
Since :
8 trees cut down = 48 planted
5 trees cut down = X
Cross multiply :
8 * X = 48 * 5
8X = 240
X = 240/8
X = 30
Hence, 30 trees will need to be planted
First you have to make both fractions have the same denominator, so you can multiply each fraction by the others denominator.
5/8
To
(5*6)/(8*6)
And
1/6
To
(1*8)/(6*8)
Now it's 6 30/48 - 2 8/48
= 4 22/48
Now reduce to
= 4 11/24
So, 4 11/24 is the answer
To calculate the relative vector of B we have to:
![P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]](https://tex.z-dn.net/?f=P_B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C3%5C%5C-2%5C%5C3%2F2%5Cend%7Barray%7D%5Cright%5D)
The coordenates of:
, with respect to B satisfy:

Equating coefficients of like powers of t produces the system of equation:

After solving this system, we have to:

And the result is:
![P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]](https://tex.z-dn.net/?f=P_B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C3%5C%5C-2%5C%5C3%2F2%5Cend%7Barray%7D%5Cright%5D)
Learn more: brainly.com/question/16850761