the sum of a negative number, ¼ of the negative number, and 7/16 off the negative number = -13½. what is the negative number?

1 answer:

6 0

X - the number

$x+\frac{1}{4}x+\frac{7}{16}x=-13 \frac{1}{2} \\
\frac{16}{16}x+\frac{4}{16}x+\frac{7}{16}x=-\frac{27}{2} \\
\frac{27}{16}x=-\frac{27}{2} \\
x=-\frac{27}{2} \times \frac{16}{27} \\
x=-\frac{1}{2} \times \frac{16}{1} \\
x=-8$

The number is -8.

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Step-by-step explanation:

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Suppose an infinity sequence defined by:

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$\lim_{k \rightarrow \infty} f(k)$

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Hence the limit is:

$\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0$