How do you define a variable and write an expression for each phrase: one-third of the total of nine times a number and twenty one?

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How do you define a variable and write an expression for each phrase: one-third of the total of nine times a number and twenty one?

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Answer 1 · 2017-07-25T11:45:42

$3x+9$

Explanation:

You don't need to "define" a variable, if that is what you mean. A variable can be any letter - $x$ , $r$ , $d$ , etc etc. But $x$ is the most common, and so I shall stick to it here.

One third of the total of states that the "nine times a number and twenty one" comes before the one-third.

Since we defined "a number" to be $x$ , then nine times $x$ is simplify $9x$ .

The "total of" is telling us to take the sum of $9x$ and $21$ . It is just simplify $9x+21$

And then it is asking us to take $1/3$ of that. That is just dividing $9x+21$ by $3$ , as $9x+21*1/3=(9x+21)div3/1$ . $9x$ divided by $3$
is $3x$ , and $27$ divided by $3$ is $9$ .

Therefore we get $3x+9$

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How do you define a variable and write an expression for each phrase: one-third of the total of nine times a number and twenty one?

1 Answer

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