An expression that represents the quotient of a number and 7 can be written as "x/7" where x is the number. This expression signifies dividing the number x by 7. In algebraic terms, it represents a fraction where the numerator is the number being divided and the denominator is 7.
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The algebraic expression for "4 decreased by the quotient of a number and 7" can be represented as 4 - (x/7), where x is the variable representing the number. The expression first calculates the quotient of the number and 7 by dividing x by 7, and then subtracts that quotient from 4. This expression captures the mathematical operation described in the question.
2x + 7
The quotient is a result of division. So it is x/7 or 7/x depending on how the numbers are being divided.
12
49, when divided by 7, gives a quotient of 7