Question

Which description can be written as the expression (8/21)n?

A) The quotient of twenty-one times a number and eight.
B) The product of eight and twenty-one times a number.
C) The quotient of eight and twenty-one times a number.
D) The quotient of twenty-one times a number and eight.

Answer 1

The correct description for the expression (8/21)n is 'The quotient of eight and twenty-one times a number', which indicates that we multiply a number by eight and then divide by twenty-one.So, the correct option is

C) The quotient of eight and twenty-one times a number.

Step-by-step explanation:

The expression (8/21)n represents the quotient of a number n multiplied by 8, and then divided by 21. To break it down: we have number n, then we perform multiplication by 8, giving us '8n', and subsequently, this product is divided by 21, resulting in the final expression as the division '(8n)/21' which simplifies to (8/21)n.

Thus, the correct description of this expression is C) The quotient of eight and twenty-one times a number. This is because the term 'quotient' signifies a division, in this case the division of the product '8n' by 21.So, the correct option is

C) The quotient of eight and twenty-one times a number.