The quotient is a result of division. So it is x/7 or 7/x depending on how the numbers are being divided.
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The quotient of a number x and 7 is the result of dividing x by 7. This can be represented mathematically as x ÷ 7. The quotient represents how many times 7 can be divided into x evenly. For example, if x = 21, the quotient of x and 7 would be 3, as 21 ÷ 7 = 3.
x/(-7) or -x/7
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.
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.
x/4+7=-31
7/(3 - x)