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Sagot :
The given statement is
"11 less than the quotient of a number, n, and 5 is 9."
To express this statement as an algebraic expression, we have to transform each part.
"a number" means the variable n.
"the quotient" means a fraction where n is the numerator and 5 is the denominator.
"is 9" means it's equal to 9.
"11 less" means we have to subtract 11 from the fraction.
Having said that, we express the following.
[tex]\frac{n}{5}-11=9[/tex]Now, we solve for n
[tex]\begin{gathered} \frac{n}{5}=9+11 \\ \frac{n}{5}=20 \\ n=20\cdot5 \\ n=100 \end{gathered}[/tex]Therefore, n is 100.
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