The algebraic expression translated from the English phrase, "the quotient of r and the sum of s and 10", is <u>r/(s + 10)</u>.
An algebraic expression is a combination of algebraic terms and mathematical operations including but not limited to addition (plus), subtraction (minus), multiplication (product), and quotient (division).
Algebraic terms are combinations of variables and numerals.
In the question, we are asked to translate the English phrase, "the quotient of r and the sum of s and 10", into an algebraic expression.
To get the algebraic expression, we first get our terms and then include the mathematical operations.
For r, the term we get is r.
For the sum of s and 10, the term we get is s + 10.
Now, we are asked for the quotient of these terms, that is, we divide the first term by the second term to get the algebraic expression r/(s + 10).
Thus, the algebraic expression translated from the English phrase, "the quotient of r and the sum of s and 10", is <u>r/(s + 10)</u>.
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