College

Which equation represents this statement?

−115 is the same as the sum of −23 times a number and −3.

A. [tex]-115 + (-23) = -3x[/tex]
B. [tex]-115 + (-23x) = -3[/tex]
C. [tex]-115 = -23x + (-3)[/tex]
D. [tex]-115 = -23 + (-3x)[/tex]

Answer :

Final answer:

The equation that accurately reflects the statement −115 is the same as the sum of −23 times a number and −3 is −115 = −23x + (−3).

Explanation:

The equation that represents the statement −115 is the same as the sum of −23 times a number and −3 is −115 = −23x + (−3).

Breaking down the statement into parts, −115 is our total, and it is said to be equivalent to the sum of two values: −23 times a number (which we can call 'x') and −3. When we translate this into an equation, it's important to keep the order and the operation signs correct.

The correct equation maintains the negative signs with both the times a number (−23 times x) and the −3, resulting in −115 = −23x + (−3), which aligns with basic algebraic principles and the rules of adding and subtracting positive and negative numbers.

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Answer:

−115=−23x+(−3)

Step-by-step explanation:

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