Answered

Which statement is true about the parts of this expression?

7.5 y minus StartFraction z over 9 EndFraction + 50 + 2 y
The constant is 7.5.
The coefficients are 7.5 and Negative 9.
The variables are x and y.
The like terms are 7.5 y and 2 y.



Answer :

Answer: The like terms are 7.5y and 2y.

Step-by-step explanation:

     We are given the following expression:

            [tex]\displaystyle 7.5y - \frac{z}{9} +50+2y[/tex]

     Let us review the given statements, and decide which is true about the parts of this expression.

           ✗ The constant is 7.5.

                 ➜ The constant is a number not being multiplied by a variable.

                      In this expression, that is 50.

           ✗ The coefficients are 7.5 and negative 9.

                 ➜ The coefficients are 7.5, -1/9, and 2.

           ✗ The variables are x and y.

                 ➜ There is no x in this expression, the variables are y and z.

           ✓ The like terms are 7.5y and 2y.

                 ➜ This is a true statement, 7.5y and 2y are like terms, they have the same variables and degree.

     This means the answer is "The like terms are 7.5y and 2y."