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

Question

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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Thu Nguyệt 3 years 2021-08-19T10:14:54+00:00 1 Answers 35 views 0

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    2021-08-19T10:16:19+00:00

    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

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