Answer:
the large box weight is 6.50 kg and the small box weight is 13.75 kg
Step-by-step explanation:
The computation of each type of box weight is as follows:
Let us assume the large box be x
And, the small box be y
So,
2x + 3y = 47.......(i)
6x + 5y = 115........(ii)
Multiply by 3 in equation 1
6x + 9y = 141
6x + 5y = 115
Now subtract the last equation from the above one
4y = 26
y = 6.50
For x, it would be
2x+ 3(6.50) = 47
2x + 19.5 = 47
2x = 47 - 19.50
2x = 27.50
x = 13.75
Hence, the large box weight is 6.50 kg and the small box weight is 13.75 kg
Answer:
Step-by-step explanation:
First we define two generic vectors in our space:
By definition we know that Euclidean norm on an 2-dimensional Euclidean space is:
Also we know that the inner product in space is defined as:
So as first condition we have that both two vectors have Euclidian Norm 1, that is:
and
As second condition we have that:
Which is the same:
Replacing the second condition on the first condition we have:
Since we have two posible solutions, or . If we choose , we can choose next the other solution for .
Remembering,
The two vectors we are looking for are:
A) $6.17 each X 4 poster boards = $24.68 total
B) $200.20 total / 4 lights = $50.05
C) $200.20 on lights + $24.68 on poster boards = $224.88 spent in total
$300 available - $224.88 spent = $75.12 left over to spend