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yuradex [85]
3 years ago
10

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. Find the number.

Mathematics
1 answer:
Monica [59]3 years ago
3 0

Equation to find number: \frac{1}{n} - 3 = \frac{20}{n}

Number's value: n = -\frac{19}{3}



Step-by-step explanation:

Let n be the unknown number.

The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be \frac{1}{n}.

The difference of three and the reciprocal of a number (\frac{1}{n}) would be \frac{1}{n} - 3.

The quotient of 20 and the number (n) would be \frac{20}{n}.

So, with this information we've gathered so far, we can come up with an equation to find what the number equals.

Equation: \frac{1}{n} - 3 = \frac{20}{n}

To find what the number equals we must solve the equation.

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