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16 May, 07:56

A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. there are 28.3495 grams in an ounce and 2.54 centimeters in an inch. how many ounces would a 19.45 inch length of the same rope weigh?

a. 5.10 oz

b. 11.49 oz

c. 32.92 oz

d. 53.90 oz

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  1. 16 May, 10:45
    0
    The answer is C. 32.92 oz.

    You are given the following information:

    - 3.25 cm length of rope weighs 61.40 grams

    - There are 28.3495 grams in an ounce

    - There are 2.54 centimeters in an inch

    And you are asked:

    How many ounces would a 19.45 inch length of the same rope weigh?

    Solution:

    First, convert the given values (length and weight of rope) into ounce and inch.

    3.25 cm / 2.54 cm = 1.2795 in

    61.40 grams / 28.3495 grams = 2.1658 oz

    Then, divide the 19.45 given length by the inches equivalent to the centimeter measurement.

    19.45 in / 1.2795 in = 15.2012

    Then multiply the quotient with the ounces equivalent to the grams measurement.

    15.2012 * 2.1658 = 32.92 oz
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