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JulsSmile [24]
3 years ago
6

An oil drilling company is drilling a hole. The elevation of the bottom of the hole changes by feet each day. After a certain nu

mber of days, the bottom of the hole is at an elevation of feet. Which equation can be used to find x, the number of days they drilled?

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

option.D

Step-by-step explanation:

  • each day it changes by -73\frac{1}{4}
  • so for two days , the elevation becomes  -73\frac{1}{4} +  -73\frac{1}{4}
  • for 3 days :  -73\frac{1}{4} +  -73\frac{1}{4} +  -73\frac{1}{4}
  • so, for n days,  -73\frac{1}{4} + ........ n times

=  n*-73\frac{1}{4}

  • therefore, for x days, elevation = x*-73\frac{1}{4}
  • as it is given that after certain days this elevation has reached -366\frac{1}{4}
  • so, x*-73\frac{1}{4} = -366\frac{1}{4}
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Answer:

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Step-by-step explanation:

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<em>Additional comment</em>

You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.

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