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What algebreic expression represents this word desription

What algebreic expression represents this word desription-example-1

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Answer:

The algebraic expression that represents the given word description "The product of nine and the difference between a number and five" can be written as: 9 * (x - 5)

If we have a specific value for the variable 'x', let's say x = 7, we can substitute it into the expression to find the result:9 * (7 - 5) = 9 * 2 = 18 So, the solution to the expression is 18, when the value of 'x' is 7.

Explanation:

To understand the expression, we can break it down into smaller parts.The difference between a number and five: This means we need to subtract 5 from a number.Let's say the number is represented by the variable 'x'. So, the expression 'x - 5' represents the difference between the number and five.The product of nine and the difference: This means we need to multiply nine by the difference we calculated earlier.To write this in algebraic notation, we use the multiplication symbol (*) to represent the product. Therefore, the complete expression is '9 * (x - 5)'.

User Wilson Delgado
by
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4 votes

Hi there!

The question is asking us, what is the product of 9 and the difference between a number and five.

I'll solve it step by step. First, I am going to call h the number.

Note that instead of h, you can use any variable.

Then, the difference between h and 5 is: h - 5.

Finally, the product of 9 and h - 5 is: 9(h - 5).

Therefore, the expression is 9(h - 5).

Have a fantastic day!

User Olivier Croisier
by
8.3k points

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