2 years ago

The quotient of 9 and five times a nonzero number (mathematical expression)

Mathematics

1 answer:

Burka [1]2 years ago

6 0

Answer:

9/5x

Step-by-step explanation:

Let a variable stand for the nonzero number. It has to not be zero because it's on the bottom of a fraction or it is the "divided by" guy in a division. It is division because quotient means you are dividing.

So 9 is on top (or in front)

5x is on the bottom (or the second term)

9/5x

also 9÷5x but I think the / notation is preferred in middle school, high school and college for algebra.

Also the variable can be almost any letter, like 9/5n or 9/5s is just as good.

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9/(x - 8) = 4/5 how to solve this proportion

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$\frac{9}{x-8}=\frac{4}{5}$
Cross multiply:
$(9)(5)=(4)(x-8)$
Simplify:
$45=4x-32$
Group like terms:
$77=4x$
Solve for x by division:
$x=\frac{77}{4}$
$x=19.25$