The statement that is true about equations and expressions is:
An example of an equation is 45+x-13.2 because it is a mathematical phrase represented by numbers, a variable, and operations.
Explanation:
1. An equation is a mathematical statement that shows the equality of two expressions. In the example "45+x-13.2," it represents an equation because it contains expressions on both sides of the equality sign.
2. In this equation, "45+x-13.2," you have the number 45, a variable x, and the subtraction operation represented by "-". The equal sign is implied here, indicating that the expressions on both sides of the equation are equal.
3. On the other hand, an expression is a mathematical phrase that can contain numbers, variables, and operations but does not have an equal sign. Therefore, the statement that includes "it shows that two equations are equal" is incorrect since expressions do not equate to equations.
Therefore, the correct statement is that the example "45+x-13.2" represents an equation because it follows the structure of an equation with expressions on either side of the equality sign.