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What number does the variable represent in the following equation: -4n + 5 = 0?

A) n = -5
B) n = -6
C) n = -7
D) n = -8

1 Answer

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Final answer:

The correct value of the variable n in the equation -4n + 5 = 0 is n = 1.25, which does not match any of the provided options A, B, C, or D.

Step-by-step explanation:

To find the number that the variable n represents in the equation -4n + 5 = 0, you can perform algebraic operations to solve for n. Here are the steps you would follow:

  • Start with the equation: -4n + 5 = 0.
  • Isolate the term with the variable by subtracting 5 from both sides of the equation: -4n + 5 - 5 = 0 - 5, which simplifies to -4n = -5.
  • Finally, divide both sides by -4 to solve for n: n = (-5) / (-4), which simplifies to n = 1.25.

Therefore, none of the provided options (n = -5, n = -6, n = -7, n = -8) are correct. The correct answer is n = 1.25.

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