A fruit company delivers its fruit in two types of boxes large and small a delivery of three large boxes and five box that has a total weight of 71 Kilograms of delivery of six large boxes and two small boxes has a total weight of 92 kilograms how much does each type of weigh

The weight of large box is 13.25 kilograms and the weight of small box is 6.25 kilograms.

Step-by-step explanation:

Given:

A fruit company delivers its fruit in two types of boxes large and small a delivery of three large boxes and five small boxes  that has a total weight of 71 kilograms and a delivery of six large boxes and two small boxes has a total weight of 92 kilograms.

Now, to find the weight of each type of box.

Let the weight of large box be .

And let the weight of small box be

A delivery of three large boxes and five small boxes has a total weight of 71 kilograms:

And, the delivery of six large boxes and two small boxes has a total weight of 92 kilograms:

Now, substituting the value of from equation (2) in equation (1):

Subtracting 230 on both sides we get:

Dividing both sides by -12 we get:

The weight of large box = 13.25 kilograms.

Now, substituting the value of in equation (1) we get:

The weight of small box = 6.25 kilograms.

Therefore, the weight of large box is 13.25 kilograms and the weight of small box is 6.25 kilograms.

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the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .