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The equation below could be used to solve which of the following problems? 19=(0.2)w

a) Twenty percent of 19 is what number.
b) What is 20% of 19.
c) What percent is 19 of 20.
d) Nineteen is 20% of what number?

1 Answer

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Final answer:

The correct problem that the equation 19 = (0.2)w solves is: Nineteen is 20% of what number. Solving the equation for 'w' results in w = 95.

Step-by-step explanation:

The equation 19 = (0.2)w can be used to determine 'w', which represents the original number of which 19 is 20%. The form of the equation suggests that 19 is a known quantity that is 20% (0.2 when expressed as a decimal) of the unknown number 'w'. To solve for 'w', divide both sides of the equation by 0.2. Therefore, the correct answer to the question is:

d) Nineteen is 20% of what number?

By calculating w = 19 / 0.2, we find that w = 95. This means that 19 is 20% of 95.

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