Tawny wrote an expression to represent “the quotient of 82 and a number, decreased by 26.” she then evaluated the expression when n=2 which statements are true about the expression and its value? check all that apply. a. the correct expression is 82-14/n b. to evaluate the expression, subtract 26 from the quotient. c. to evaluate the expression, subtract the quotient from 82. d. the correct expression is 82/n-26 e. the operations include division and subtraction. f. to evaluate, substitute 24 for the variable in the equation. g. the value of the expression is 15.

Given : A expression to represent “the quotient of 82 and a number, decreased by 26.

Soltution: In the problem, the known number is taken by a variable n.

Let us break given statement into smaller parts.

First part: "the quotient of 82 and a number".

Quotent represents result after division.

So, the quotent of 82 and an known number n can be expressed by expression: 82/n.

Second part: decreased by 26.

The decrease word represents subtraction operation.

So, we need to subtract 26 from above expression from the quotient of 82 and a number.

So, we could write final expression as : 82/n  - 26.

In the problem n is taken by value 2.

So, plugging n=2 in above expression, we get

82/2  - 26.

Dividing 82 by 2, we get 41

Therefore, 82/2  - 26 = 41 -26.

Subtracting 41-26, we get 15.

So, final value of the expression should be 15 from n=2.

Therefore, correct options are

D. The correct expression is 82/n-26 and

E. The operations include division and subtraction.

G. The value of the expression is 15.

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step-by-step explanation:

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