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Aleksandr-060686 [28]
3 years ago
7

Miguel is making an obstacle course. At the end of every sixth of the course, there is a tire. At the end of every third of the

course, there is a cone. At the end of every half there is a hurdle. At which location of the course will people need to go through more than one obstacle?
Mathematics
1 answer:
tino4ka555 [31]3 years ago
8 0
Well theres more than 1 location.. you would have 2 obstacles at 2/6, 4/6, and 6/6. If im Correct
Because Theres
I  <u>IO</u>   I     <em>L</em>     <u>IO</u>  I  <u>IO</u>
1  <u>2</u>   3 <em>Hurdle</em><u> 4</u>   5  <u>6</u>
The I are the Tires
The L is hurdles
and the O is Cones

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x = 3 or x = 1

note that log 5 is usually taken to mean log_{10} 5

using the law of logarithms

logx - logy = log (\frac{x}{y})

the right hand side can be expressed as

log 10000 - log 16 = log (\frac{10000}{16}) = log 625

divide both sides by log 5

x² - 4x + 7 = \frac{log625}{log5} = 4

subtract 4 from both sides

x² - 4x + 3 = 0 ← in standard form

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equate each factor to zero and solve for x

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The working is as follows :

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Answer:

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Step-by-step explanation:

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