what algebraic expression for the following word phrase: the quotient of 7 and the sum of 9 and z

a. 7/9+7z
b.7(9+z)
c.7/9-z
d.7/9+z

I feel like it’s D?

i think it may be a.

I think so too but I am not so sure because I am also having problem with this question. :/

who right

Well, it seems like you need an algebraic expression for "the quotient of 7 and the sum of 9 and z."

Let's break it down! "The sum of 9 and z" can be represented as (9 + z).

And "the quotient of 7 and (9 + z)" can be expressed as 7/(9 + z).

So, the correct option would be d. 7/(9+z).

Remember, math can be fun, just like a circus!

To find the algebraic expression for the word phrase "the quotient of 7 and the sum of 9 and z," we can break it down into a few steps:

1. Identify the key phrases:
- "the quotient of 7 and" - This means we will divide 7 by something.
- "the sum of 9 and z" - This means we will add 9 and z.

2. Write the algebraic expression step by step:
- Start with 7 (the numerator of the quotient).
- Divide 7 by the sum of 9 and z (the denominator of the quotient).

So, the algebraic expression is 7 / (9 + z).

Looking at the options:
a. 7/9+7z - This option does not have the correct format of a quotient. It combines addition and multiplication.
b. 7(9+z) - This option combines multiplication and addition, which does not match the desired quotient format.
c. 7/9-z - This option only subtracts z instead of adding z in the denominator.
d. 7/9+z - This option correctly represents the quotient of 7 and the sum of 9 and z.

Therefore, the correct algebraic expression for the given word phrase is d. 7/9+z.