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3 years ago

Mike's Music charges $45 per hour. Tim's Tunes

Mathematics

2 answers:

Nastasia [14]3 years ago

7 0

Answer:

4. 5 1/3 hours

Step-by-step explanation:

Mike's music:

y = 45x

Tim's Tunes:

y = 80 + 25x

Mike's music:

y = 45x

240 = 45x

x = 240/45

x = 5 1/3

klemol [59]3 years ago

5 0

Answer:

Answer 4. (5 1/3 hours)

Step-by-step explanation:

240/45=5.333333333

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8090 [49]

Hello, please consider the following.

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to get rid of the root in the denominator.

First of all, we cannot divide by 0, right? So, we need to make sure that the denominator is different from 0.

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Let's do it!

$\begin{aligned}\dfrac{4}{4-\sqrt{6x}}&=\dfrac{4(4+\sqrt{6x})}{(4+\sqrt{6x})(4-\sqrt{6x})}\\\\&=\dfrac{4(4+\sqrt{6x})}{(4^2-\sqrt{6x}^2)}\\\\&=\dfrac{4(4+\sqrt{6x})}{(16-6x)}\\\\&=\dfrac{2(4+\sqrt{6x})}{(8-3x)}\\\\&\large \boxed{=\dfrac{8+2\sqrt{6x}}{8-3x}}\end{aligned}$

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