Question

Write an algebraic equation to model the word phrase

The quotient of the sum of 6 and a number x, and 4

A)x/6+4
B)(x+6)/4
C)x/4+6
D)(x+4)/6

Answer 1

The correct algebraic equation for the phrase 'the quotient of the sum of 6 and a number x, and 4' is (x + 6) / 4.

Step-by-step explanation:

The phrase 'the quotient of the sum of 6 and a number x, and 4' requires us to first find the sum of 6 and the number x. This sum is represented as (6 + x) or (x + 6). Since we are looking for the quotient of this sum and 4, we need to divide the entire sum by 4, which is represented in algebraic form as (x + 6) / 4. Therefore, the correct algebraic equation that models the given word phrase is option B) (x + 6) / 4.