Answer :

Answer:

  D.  N/7

Step-by-step explanation:

You want to know the math expression that represents the phrase, "the quotient of a number and seven."

Discussion

Every math operation has an English description of its result:

  • sum — the result of adding two (or more) numbers in any order
  • difference — the result of subtracting a second number from a first number. (Sometimes, the English usage means "the positive difference", which is the result of subtracting the smaller from the larger.)
  • product — the result of multiplying two (or more) numbers in any order
  • quotient — the result of dividing a first number by a second number

Application

You want the quotient of a number and seven. This is the result of dividing the number by 7.

When this is written as a math expression, we usually like to use a symbol to represent "a number." Your answer choices show that the symbol "N" is preferred for that purpose here.

The division ("divided by") symbol in math is either of ÷ or / (a fraction bar). So, "the quotient of a number and seven" means "N divided by 7". This can be written as ...

  • N ÷ 7
  • N/7

If the expression is typeset, it can be written as ...

  [tex]\dfrac{N}{7}[/tex]

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Additional comment

Here, the divisor (the denominator, or the number on the bottom) is a single number. If it were an expression, then it would need to be enclosed in parentheses in the plain-text forms:

  • N ÷ (a +7)
  • N/(a +7)

In the typeset form, the fraction bar serves the same grouping purpose that the parentheses serve.

  [tex]\dfrac{N}{a+7}[/tex]