Verified Answer :

calculista

Answer:

\(10\)

Step-by-step explanation:

we know that

The expression " the quotient of \(40\) and the difference of a number y and \(16\)"  is equivalent to the algebraic equation

\(\frac{40}{y-16}\)

For \(y=20\) ------> given problem

substitute the value of y in the equation

\(\frac{40}{20-16}=\frac{40}{4}=10\)

Lanuel

The quotient of 40 and the difference of a number y and 16, when y = 20 is 10.

Given the following data:

  • y = 16

In Mathematics, quotient simply means division i.e the division of a number by another number.

Translating the word problem into an algebraic expression, we have;

The difference of a number y and 16: \(y - 16\)

Quotient of 40 and the difference of a number y and 16: \(\frac{40}{y \; - \;16}\)

When y = 20:

Substituting the value of y, we have:

\(\frac{40}{20 \; - \;16}\\\\\frac{40}{4}\)

Quotient = 10

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