Adumpster, in the shape of a right rectangular prism, has a length of 10 feet, a width of 5.5 feet, and a height of 4 feet. it is completely full of yard waste that weighs, on average, 7.5 pounds/cubic foot. what is the weight of the yard waste to the nearest pound? enter the number only.

The weight of the yard waste = 1650 pounds

Step-by-step explanation:

* Lets revise the rule of the volume of the prism

- The rectangular prism has 6 rectangular faces

- Its base shaped a rectangle of dimensions length and width

- The volume of the rectangular prism = Area of its base × its height

∵ Area of the rectangle = length × width

∴ The volume of the prism = length × width × height

* Now lets solve the problem

∵ The length of the rectangular prism = 10 feet

∵ The width of it = 5.5 feet

∵ The height of it = 4 feet

∴ Its volume = 10 × 5.5 × 4 = 220 feet³

- The prism is completely full of yard waste

∴ The volume of the yard waste = the volume of the prism

∴ The volume of the yard waste = 220 feet³

- The average weighs of it is 7.5 pounds/cubic foot

∴ The weight of the yard waste = the average of weight × the volume

∴ The weight of the yard waste = 7.5 × 220 = 1650 pounds

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent