Adelivery truck is transporting boxes of two sizes: large and small. the combined weight of a large box and a small box is 60 pounds. the truck is transporting 70 large boxes and 55 small boxes. if the truck is carrying a total of 3975 pounds in boxes, how much does each type of box weigh?

The small box weights 15 pounds, and the large box weights 45 pounds.

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly:

Weight of small and large box combined = 60 pounds

Truck is transporting 70 large boxes and 55 small boxes

Total weight of the boxes the truck is carrying = 3,975 pounds

2.  How much does each type of box weigh?

Weight of the small box = x

Weight of the large box = 60 - x

For solving the value of x, we use the following equation:

70 * (60 - x) + 55 * x = 3,975

4,200 - 70x + 55x = 3,975

- 15x = 3,975 - 4,200 (Like terms)

- 15x = -225

x = 15 (Dividing by 15 at both sides)

The small box weights 15 pounds, therefore the large box weights 45 pounds (60 - 15).

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12