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29 March, 10:01

1. Nestor needs 750 centimeters of rope. Rope comes in length of 4 ½ meters and 9 meters at the hardware store 9 meters at the hardware store. Which length of rope should Nestor buy? Example: 4 ½ meters = centimeters 9 meters = centimeters Which length is greater? Explain your findings

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Answers (2)
  1. 29 March, 11:14
    0
    Nestor needs to buy 7 ½ meters rope

    And: the length of the rope that is greater is : 9 meters

    Step-by-step explanation:

    From the length conversion table:

    We know that:

    1 meters = 100 centimetres

    We are told that Nestor needs 750 centimeters of rope

    Now; these ropes comes in the length of 4 ½ meters and 9 meters at the hardware store

    To determine the length of rope should Nestor buy?; we will need to first convert the length of the ropes in meters to centimeters first;

    so

    4 ½ meters to centimeters = 4 ½ * 100 centimeters = 450 centimeters

    9 meters to centimeters = 9 * 100 centimeters = 900 centimeters

    And Nestor needs to purchase 750 centimeters of rope;

    So if;

    4 ½ meters = 450 centimeters

    Then; let x meters = 750 centimeters

    So;

    x meters * 450 centimeters = 4 ½ meters * 750 centimeters

    x meters = (4 ½ meters * 750 centimeters) / 450 centimeters

    x = 7 ½ meters

    Also; if

    9 meters = 900 centimeters

    Then; let x meters = 750 centimeters

    So;

    x meters * 900 centimeters = 9 meters * 750 centimeters

    x meters = (9 meters * 750 centimeters) / 900 centimeters

    x = 7 ½ meters

    Thus; Nestor needs to buy 7 ½ meters rope

    And: the length of the rope that is greater is : 9 meters
  2. 29 March, 12:51
    0
    Nestor should buy the rope that is 9 meters long

    Step-by-step explanation:

    Nestor will need to buy a rope that is longer than 750 centimeters so that he can easily cut it to serve his need. If he buys a shorter rope, it will be a lot more difficult to join to get the required length that he needs.

    To know the length of his various options and determine the one that is best, we will convert all the ropes to the same unit (cm) and compare is with the required length.

    Rope A: 4.5 meters

    1 m = 100 cm

    4. 5 cm = 4.5 X 100 = 450 cm

    This is clearly shorter than is required

    Rope B: 9 meters

    1 m = 100 cm

    9 m = 9 X 100 = 900 cm

    This is clearly longer than is required, hence should be Nestor's choice
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