the quotient of 40 and the difference of a number y and 16 and y =20

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calculista calculista · Answer 1 · 2019-01-18T21:42:34+01:00

Answer:

[tex]10[/tex]

Step-by-step explanation:

we know that

The expression " the quotient of [tex]40[/tex] and the difference of a number y and [tex]16[/tex]" is equivalent to the algebraic equation

[tex]\frac{40}{y-16}[/tex]

For [tex]y=20[/tex] ------> given problem

substitute the value of y in the equation

[tex]\frac{40}{20-16}=\frac{40}{4}=10[/tex]

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Lanuel Lanuel · Answer 2 · 2021-10-28T11:22:01+02:00

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

Given the following data:

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: [tex]y - 16[/tex]

Quotient of 40 and the difference of a number y and 16: [tex]\frac{40}{y \; - \;16}[/tex]

When y = 20:

Substituting the value of y, we have:

[tex]\frac{40}{20 \; - \;16}\\\\\frac{40}{4}[/tex]

Quotient = 10

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