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26 March, 18:01

Kate is growing two plants for a science project. •plant A little starts at 6 inches and grows 1/2 inch per week. • plant B starts at 4 inches tall and grows 3/4 inches per week. After how many weeks will the plants be the same height?

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  1. 26 March, 18:03
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    8 weeks

    Step-by-step explanation:

    Let the number of weeks be x.

    Plant A little starts at 6 inches and grows 1/2 inch per week.

    This means that after x weeks, the height of the plant will be:

    6 + (½ * x)

    6 + x/2

    Plant B starts at 4 inches tall and grows 3/4 inches per week. This means that after x weeks, the height of the plant will be:

    4 + (¾ * x)

    4 + 3x/4

    After a particular number of weeks, their heights will be the same. That is:

    6 + x/2 = 4 + 3x/4

    To find x, collect like terms and simplify:

    6 - 4 = 3x/4 - x/2

    2 = x/4

    => x = 2 * 4 = 8 weeks

    After 8 weeks, their heights will be the same.
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