Tish scarf is 17.75 inches long and knits 2 3/8 per minute. Emma scarf is 4 inches knits 3 3/4 inches per minute. After how many minutes wil

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Tish scarf is 17.75 inches long and knits 2 3/8 per minute. Emma scarf is 4 inches knits 3 3/4 inches per minute. After how many minutes will Emma’s scarf be longer than tish scarf

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Nho 3 years 2021-07-18T23:05:26+00:00 1 Answers 72 views 0

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  1. thugiang
    0
    2021-07-18T23:06:59+00:00
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    Answer:

    t = 10 minutes

    Emma’s scarf will be longer than tish scarf after 10 minutes

    Explanation:

    Given;

    The length of tish scarf after t minutes can be written as;

    L1 = 17.75 + 2 3/8 ×t

    L1 = 17.75 + 2.375t

    The length of emma scarf after t minutes can be written as;

    L2 = 4 + 3 3/4 × t

    L2 = 4 + 3.75t

    For emma scarf to be longer than tish;

    L2 >/= L1

    At L2 = L1

    4+3.75t = 17.75 + 2.375t

    Solving for t

    3.75t – 2.375t = 17.75 – 4

    1.375t = 13.75

    t = 13.75/1.375

    t = 10 minutes

    Emma’s scarf will be longer than tish scarf after 10 minutes

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