3 years ago

The different of anumber and 12

Mathematics

1 answer:

Llana [10]3 years ago

3 0

Five divided by the difference of a number and 12 equals the quotiene of 10 and the sum of the number and five

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Answer:

(-12, -1)

Step-by-step explanation:

(8, -1) => (-2/3x, f(-2/3x))

therefore

-2/3x = 8

x = 8 *-3/2

x = -12

f(-2/3x) = -1

therefore, the corresponding point is:

(-12,-1)

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Convert 6 2/3 cups to pints. Express your answer in simplest form.

Dmitry_Shevchenko [17]

First off, let's convert the mixed fraction to "improper", keeping in mind that, there are 2 cups in 1 pint.

$\bf \stackrel{mixed}{6\frac{2}{3}}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}}
\\\\\\
\begin{array}{ccll}
cups&pints\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&1\\\\
\frac{20}{3}&p
\end{array}\implies \cfrac{\quad 2\quad }{\frac{20}{3}}=\cfrac{1}{p}\implies \cfrac{\quad \frac{2}{1}\quad }{\frac{20}{3}}=\cfrac{1}{p}$

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