Morgan uses 1/4 of her supply of rasins to make trail mix and 3/8 of her supply of rasins to make cookies if morgan uses 5 pounds

Morgan uses 1/4 of her supply of rasins to make trail mix and 3/8 of her supply of rasins to make cookies if morgan uses 5 pounds of rasins how many pounds does she have total

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  1. 8 pounds total

    Step-by-step explanation:

    first calculate how much she used in total

    1/4 + 3/8

    need like denominators so multiply 1/4 by 2

    2/8 + 3/8 = 5/8

    so 5/8 of the total is 5 pounds, now find the total

    if 5/8 = 5, then 8/8 = _8_

  2. the correct option is 2.

    step-by-step explanation:

    according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

    it is given that triangles abd, cad, and cba are similar.

    two triangles are similar if their corresponding sides are proportional.

    in triangle cba, using pythagoras theorem

    [tex]ab^2+ac^2=bc^2[/tex]

    [tex]ab^2+ac^2=x^2[/tex]                       )

    triangle abd and cba are similar,

    [tex]\frac{ab}{bc}=\frac{bd}{ab}[/tex]

    [tex]ab^2=bc\cdot bd[/tex]

    [tex]25=bc\cdot bd[/tex]                             (2)

    triangle cad and cba are similar,

    [tex]\frac{ac}{bc}=\frac{cd}{ac}[/tex]

    [tex]ac^2=bc\cdot dc[/tex]

    [tex]7\times 7=bc\cdot dc[/tex]

    [tex]49=bc\cdot dc[/tex]                       )

    using (1), (2) and (3), we get

    [tex]25+49=x^2[/tex]

    [tex]74=x^2[/tex]

    hence proved.

    therefore option 2 is correct.

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