Solving the product of 15 and a number x is −75 equals to: -5.
To write the word sentence as an algebraic equation:
In this exercise, we are required to translate the word sentence into a mathematical (algebraic) expression and solve for the unknown variable (number):
The product of 15 and a number x:
[tex]15(x)[/tex]
Equating the above expression to -75, we have:
[tex]15x = -75[/tex]
Simplifying further, we have:
[tex]15x = -75\\\\x = \frac{-75}{15}[/tex]
x = -5
Therefore, the unknown number is -5.
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