Translate each phrase into an algebraic expression.
the quotient of thirty and three times a number

Question

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calculista calculista · Answer 1 · 2019-07-11T17:10:37+02:00

Answer:

30/3x

Step-by-step 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

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ColinJacobus ColinJacobus · Answer 2 · 2019-08-29T10:51:44+02:00

Answer: The correct option is (B) [tex]\dfrac{30}{3x}.[/tex]

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 :

[tex]E=\dfrac{30}{3\times x}\\\\\\\Rightarrow E=\dfrac{30}{3x}.[/tex]

Thus, the required algebraic expression is [tex]\dfrac{30}{3x}.[/tex]

Option (B) is CORRECT.