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27 September, 09:47

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 / text{ cm}10 cm10, start text, space, c, m, end text. But then, the snow started melting at a rate of / dfrac{1}{3} / text{ cm} 3 1 cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text per hour. What was the depth of the snow on Cherry Street after 333 hours?

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Answers (2)
  1. 27 September, 10:01
    0
    9 cm

    Step-by-step explanation:

    10-1 hours=9cm
  2. 27 September, 10:14
    0
    Question:

    Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers.

    After a winter storm, the depth of the snow on Cherry Street was

    10 cm. But then, the snow started melting at a rate of 1/3 cm

    per hour.

    What was the depth of the snow on Cherry Street after 3

    hours?

    Answer:

    The depth of the snow on Cherry Street after 3 hours is 9 cm

    Step-by-step explanation:

    Here we have

    Initial depth of snow = 10 cm

    Rate at which the snow melts = 1/3 cm/hour

    Decrease in depth of snow after 3 hours = 3 hour * 1/3 cm/hour = 1 cm

    Since decrease in the depth of snow is recorded with negative number, we have;

    The decrease in depth of snow after 3 hours = - 1 cm

    Therefore the depth of the snow after 3 hours is given by;

    Depth of snow + change in snow level after 3 hours

    = Depth of snow + Decrease in depth of snow after 3 hours (-1)

    (Initial depth of snow - Level of snow melted in 3 hours)

    = 10 cm - 1 cm = 9 cm

    Which gives the depth of snow after 3 hours = 9 cm.
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