Answer: , where x= width of the rectangle ( in inches).
Step-by-step explanation:
Let x= width of the rectangle ( in inches).
Then its length = 2x-7 ( in inches).
Area of rectangle = Length × width
= (2x-7) × (x)
= 2x × x -7 ×x
= 2x²-7x
The area of the rectangle is 72 square inches.
Hence, the equation that represents the given situation :
Answer:
The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.
Step-by-step explanation:
A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels (), measured in cubic milimeters, is the product of the number of elements (
), no unit, and the volume of each element (
), measured in cubic milimeters. That is:
(1)
By volume equation of right cylinder, we have the following formula:
(2)
Where:
- Amount of nickels, no unit.
- Diameter of nickel, measured in milimeters.
- Thickness of nickel, measured in milimeters.
If we know that ,
and
, then the net volume of the stack of nickels is:
The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.
Answer:
Step-by-step explanation:
We have been given the equation:
And
Second equation can be rewritten as:
We will solve the equations:
(1)
(2)
Multiply equation (1) by 5 and equation (2) by 3 we get:
(3)
(4)
Now, subtract (4) from (3) we get:
Now substitute in equation (1) we get: