A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 8 small boxes has a total weight of 91 kilograms. A delivery of 5 large boxes and 2 small boxes has a total weight of 78 kilograms. How much does each type of box weigh?

the large box weight is 6.50 kg and the small box weight is 13 kg

Step-by-step explanation:

The calculation of each type of box weight is shown below:

Let assume the large box be x

And, the small box be y

Therefore

 3x + 8y = 91(i)

5x + 2y = 78(ii)

Multiply by 5 in equation 1 and by 3 in equation 2

15x + 40y = 455

15x + 6y = 234

Now deduct the last equation from the above one

34y = 221

y = 6.5 kg

For x, it is

3x + 8(6.5) = 91

3x + 52 = 91

3x = 91 - 52

3x  = 39

x = 13 kg

Hence, the large box weight is 6.50 kg and the small box weight is 13 kg

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )