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Licemer1 [7]
3 years ago
6

Please give an accurate answer and show work.

Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:

3.06

Step-by-step explanation:

\log_{5}(\dfrac{2}{3}x-2)+2=0\\\\\log_{5}(\dfrac{2}{3}x-2)=-2\\\\

This means that 5 to the power of -2 is (\dfrac{2}{3}x-2), meaning that:

\dfrac{2}{3}x-2=5^{-2}=\dfrac{1}{25} \\\\\dfrac{2}{3}x=\dfrac{51}{25} \\\\2x=\dfrac{153}{25} \\\\x=\dfrac{153}{50}=3.06

Hope this helps!

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The cost of attending an amusement park is $10 for children and $20 for adults. On a particular day, the attendance at the amuse
Lapatulllka [165]

Using a system of equations, it is found that 10,000 children attended the park that day.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

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  • Variable a: Number of adults in the park.

The attendance at the amusement park is 30,000 attendees, hence:

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Then:

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The cost of attending an amusement park is $10 for children and $20 for adults. The total money earned by the park is $500,000, hence:

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More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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