Question

Translate each phrase into an algebraic expression.

the quotient of thirty and three times a number

Answer 1

Answer: The correct option is (B)
`(30)/(3x).`

Step-by-step explanation: We are given to translate the following phrase into an algebraic expression :

"the quotient of thirty and three times a number."

Let the unknown number be represented by x.

Then, according to the given phrase, the algebraic expression can be written as :

`E=(30)/(3* x)\\\\\\\Rightarrow E=(30)/(3x).`

Thus, the required algebraic expression is
`(30)/(3x).`

Option (B) is CORRECT.

Answer 2

30/3x

Explanation:

Let

x ----> a number

we know that

The algebraic expression of the phrase" thirty" is equal to the number 30

The algebraic expression of the phrase"three times a number" is equal to multiply the number by 3 ----> 3x

therefore

"The quotient of thirty and three times a number" is equal to divide the number 30 by 3x

30/3x