If you solve the equation 100X = 75, what is the final value of X?

Prepare for the TEAS Nursing Entrance Exam with comprehensive flashcards and multiple-choice questions. Each question is accompanied by hints and explanations to ensure you ace your test and start your nursing career.

To find the final value of X in the equation (100X = 75), you start by isolating X. This involves dividing both sides of the equation by 100:

[

X = \frac{75}{100}

]

When you simplify (\frac{75}{100}), you can reduce the fraction to its simplest form. The greatest common divisor of 75 and 100 is 25. Dividing both the numerator and denominator by 25 gives:

[

X = \frac{75 \div 25}{100 \div 25} = \frac{3}{4}

]

This means the value of X is ( \frac{3}{4} ) ml. This fraction can also be expressed as a decimal (0.75 ml), which aligns with the numerical value expressed in another option, but in fractional terms, ( \frac{3}{4} ) is the exact solution to the equation. Therefore, this result appropriately corresponds to the option that indicates ( \frac{3}{4} ) ml.

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