2/7 in rational number line

Mathematics

1 answer:

solong [7]3 years ago

8 0

Step-by-step explanation:

The fraction 2/7 is a rational number. A rational number is one that can be expressed as a fraction or ratio between two integers (whole numbers).

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$\bf \qquad \qquad \textit{double proportional variation}\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \begin{array}{llll}
\textit{y varies directly with}\\
\textit{the square root of x and inversely with z}
\end{array}\qquad y=\cfrac{k\sqrt{x}}{z}
\\\\\\
\textit{we also know that }
\begin{cases}
x=4\\
z=3\\
y=10
\end{cases}\implies 10=\cfrac{k\sqrt{4}}{3}\implies 30=k2
\\\\\\
\cfrac{30}{2}=k\implies 15=k\qquad \qquad \boxed{y=\cfrac{15\sqrt{x}}{z}}
\\\\\\
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2/7 in rational number line​

2/7 in rational number line