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3 years ago

2. Which expression is equivalent to Xy 2/9

Mathematics

1 answer:

Lelu [443]3 years ago

3 0

Answer:

4/18 or divide both by anything or times it

Step-by-step explanation:

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3 years ago

What is the answer to number 5&6?

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4 years ago

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Lenny bought a motorcycle. He paid 12.5% in tax. The tax added 1437.50 to the price of the motorcycle what was the price of the

just olya [345]

Answer:

Amount of motorcycle = $11,500

Step-by-step explanation:

Given:

Tax rate = 12.5 % = 0.125

Amount of tax = $1,437.50

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Amount of motorcycle

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3 years ago

Prove the following statement using a proof by contraposition. Yr EQ,s ER, if s is irrational, then r + 1 is irrational.

sp2606 [1]

Answer:

I think that what you are trying to show is: If $s$ is irrational and $r$ is rational, then $r+s$ is rational. If so, a proof can be as follows:

Step-by-step explanation:

Suppose that $r+s$ is a rational number. Then $r$ and $r+s$ can be written as follows

$r=\frac{p_{1}}{q_{1}}, \,p_{1}\in \mathbb{Z}, q_{1}\in \mathbb{Z}, q_{1}\neq 0$

$r+s=\frac{p_{2}}{q_{2}}, \,p_{2}\in \mathbb{Z}, q_{2}\in \mathbb{Z}, q_{2}\neq 0$

Hence we have that

$r+s=\frac{p_{1}}{q_{1}}+s=\frac{p_{2}}{q_{2}}$

Then

$s=\frac{p_{2}}{q_{2}}-\frac{p_{1}}{q_{1}}=\frac{p_{2}q_{1}-p_{1}q_{2}}{q_{1}q_{2}}\in \mathbb{Q}$

This is a contradiction because we assumed that $s$ is an irrational number.

Then $r+s$ must be an irrational number.

3 0

3 years ago