The figure below has a height of 18 inches and a volume of 864 cubic inches. What is the area of the base of the figure?

48 sq. in.

Step-by-step explanation:

Different figures (rectangular prisms, cylinders, triangular prisms etc.) have different volume formula. But what formula of "volume" do they come from??

It is:

Volume = Area of Base * Height

Note: we didn't specify any Area of Base formula because it depends. If base is circle, the area is different than if base was suppose a square. But this is the general formula of volume.

Now,

Given

Height = 18 inch

Volume = 864 cubic inch

We can write:

Volume = Area of Base * Height

864 = Area of Base * 18

Thus,

Area of Base = 864/18 = 48 sq. in.

This is what we are wanting, "area of base" (irrespective of the shape).  

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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