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solmaris [256]
3 years ago
8

Determine for each number whether it is irrational or rational number.

Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0

rational numbers can be written as a ratio of two integers a/b

1/2 is the ratio of 1 and 2 so its rational

√7/10 is not a ratio of two integers so its irrational

3π/4 is not a ratio of two integers so its irrational

5/9  is the ratio of 5 and 9 so its rational

18 is 18/1 and is the ratio of 18 and 1 so its rational

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For the data in the table, write an equation for the direct variation.
melisa1 [442]

The equation of direct variation is,

\begin{gathered} y=kx \\ k=\frac{y}{x} \end{gathered}

Substitute the values of <em>y</em> and <em>x</em>.

\begin{gathered} k=\frac{5.4}{4} \\ k=1.35 \end{gathered}

So, the obtained equation will be <em>y</em>=1.35(x).

Let's check with the values of <em>x</em>.

1) If <em>x</em>=4

\begin{gathered} y=1.35x \\ y=1.35(4) \\ y=5.4 \end{gathered}

2) If <em>x</em>=2

\begin{gathered} y=1.35x \\ y=1.35(2) \\ y=2.7 \end{gathered}

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1 year ago
The monthly fees for the local pool are $8 per month
Liono4ka [1.6K]

Given:

Monthly fees for the local pool are $8 per month  and $2 per visit.

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Additional fee for x times = $2x

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Step-by-step explanation:

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How to solve Literal Equations?

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Linear equations in one variable may take the form ax + b = 0  and are solved using basic algebraic operations.

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Read more about Literal Equations at; brainly.com/question/1852246

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