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NEED HELP A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government and more than
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NEED HELP A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government and more than 10 tons is sold to a mineral extractor. If the mine operates for x hours in a day, what is the simplest inequality that represents the number of hours the mine must operate to meet its obligations?
A.
x > 3
B.
x > 4
C.
x > 5
D.
x > 7
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2021-08-19T10:14:54+00:00
2021-08-19T10:14:54+00:00 1 Answers
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Answer:
D. x > 7
Step-by-step explanation:
The mine operates x hours per day and extracts 2 tons of ore per hour.
The amount of ore extracted as a function of hours of operation is
2x
The mine must produce 4 tons plus more than 10 tons each day. The mine must produce more than 14 tons in one day. That means that 2x must be greater than 14.
2x > 14
Divide both sides by 2.
x > 7
Answer: D. x > 7