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Which of the following best describes the English expression "the product of nine and a number minus five"?

A. [tex]\(9x - 5\)[/tex]
B. [tex]\((9 - x) - 5\)[/tex]
C. [tex]\(9 \cdot (x - 5)\)[/tex]
D. [tex]\(5 - 9x\)[/tex]

Sagot :

To describe the English expression "the product of nine and a number minus five," let's break it down step by step:

1. Identify the Variable:
- The phrase "a number" is typically represented by a variable like [tex]\(x\)[/tex], [tex]\(n\)[/tex], or any other letter. Let's denote this number by [tex]\( \text{num} \)[/tex].

2. Product of Nine and a Number:
- When we say "the product of nine and a number," it means we multiply nine by the number. This can be written mathematically as [tex]\( 9 \times \text{num} \)[/tex] or simply [tex]\( 9\text{num} \)[/tex].

3. Minus Five:
- The phrase "minus five" indicates that we subtract five from the product obtained in the previous step.

Now, putting it all together, the entire expression "the product of nine and a number minus five" can be written mathematically as:
[tex]\[ 9 \text{num} - 5 \][/tex]

Thus, the best description of this English expression in mathematical form is:
[tex]\[ 9 \text{num} - 5 \][/tex]