Answer:
The answer is 1 2/5
Step-by-step explanation:
4-2 3/5
3 5/5 - 2 3/5
= 1 2/5
Answer:
3x+13
Step-by-step explanation:
Perimeter of square = 4 * length
Length = Perimeter/4
Length = (12x + 52)/4
Length = 3x+13
The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
Answer:
capacity of the container is 4 pound
Step-by-step explanation:
We have given that a container of the coffee is
full
And it contains
of a pound so
pound
It means
f of container contain
pound coffee
So capacity of the container is 
So capacity of the container is 4 pound
Answer:
24000 pieces.
Step-by-step explanation:
Given:
Side lengths of cube = 
The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.
Question asked:
What is the greatest number of packages that can fit in the truck?
Solution:
First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.


Length = 8 foot, Breadth =
, Height =


The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube
The greatest number of packages that can fit in the truck = 
Thus, the greatest number of packages that can fit in the truck is 24000 pieces.