mathematics

What are the next three numbers in this pattern?

729, 243, 81, 27, __, __, __

9, 6, 3
9, 3, 1
6, 3, 0
18, 9, 3
A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?

5 inches x 4 inches
4 inches x 6 inches
6 inches x 3 inches
3 inches x 8 inches
To earn money, George types papers for college students. For regular term papers, he charges by the page: $1.50 each. For scientific and technical papers, he charges more because they take longer to type. If he types forty-five regular pages and thirty-six technical pages, how much will he earn?

What other information is needed to solve this problem?

what kind of computer he is using
how long it takes him to type a page of technical writing
how much he charges for a page of technical typing
how wide his margins are

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  1. To earn money, George types papers for college students. For regular term papers, he charges by the page: $1.50 each. For scientific and technical papers, he charges more because they take longer to type. If he types forty-five regular pages and thirty-six technical pages, how much will he earn?

    What other information is needed to solve this problem?

    what kind of computer he is using
    how long it takes him to type a page of technical writing
    how much he charges for a page of technical typing
    how wide his margins are

    just answer this one nevermind the rest

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  2. you give the rate for regular papers: 1.50 per page
    But you need to give the rate for scientific papers.
    So, if he charges $x for those, his total charge will be

    45 * 1.50 + 36x

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    👨‍🏫
    oobleck
  3. 1. 27/3 = 9.
    9/3 = 3.

    2. P = 2L+2W = 20.
    A = L*W = 24.
    L = 24/W
    In Eq1, replace L with 24/W and solve for W:
    2(24/W)+2W = 20.
    48/W+2W = 20
    48+2W^2 = 20W
    2W^2-20W+48 = 0
    W^2-10W+24 = 0. 24 = -6*-4, sum = -10 = B.
    (x-6)(x-4) = 0
    W = 6, and 4. Use the larger number, 6.
    L*W = 24
    L*6 = 24
    L = 4 in.

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