math

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Double check please
Write each of the following as a common fraction or mixed number. Write your answer in lowest term
28. 15.35
Answer: 1535 / 100 = 307/20 = 15 35/100 is 15 7/20
Complete each of the following statement, using the symbol < or >
5/16 _0.313
Answer >

  • math -

    We have the decimal number:

    15.35, which becomes 15(35/100).

    The fractional part can be reduced.

    What is the biggest number that can evenly fit into 35 and 100 without a remainder?

    How about 5?

    35/5 = 7

    100/5 = 20

    Final answer:

    5_7/20

    ===============

    The inequality symbols have names:

    > means GREATER THAN

    < means LESS THAN

    The arrow ALWAYS points to the smaller number.

    We have a fraction on the left and a decimal number on the right:

    5/16 ___ 0.313

    Which inequality symbol goes on the line?

    When we divide 5 by 16, we get 0.3135, right?

    Which is bigger?

    0.3135 or 0.313?

    Of course, 0.3135 is bigger.

    Final answer:

    5/16 > 0.313

    Done!

  • math -

    INEQUALITY AND GRAPH
    5x-7(x+1)>-9
    <-+-+-+-+-+-+-+-+-+-+->
    -4-3-2-1 0 1 2 3 4 5

  • math -

    5 x - 7 x - 7 >-9
    -2 x > -2
    divide both sides by -2. When you multily both sides by a negative number, change direction of arrow.

    x < 1
    put an open circle around x =1 and an arrow to the left.
    +++++++++++++++++++++++++++++
    check, try x = 0
    5*0 - 7*0 - 7 >-9 ?
    -7 > -9 sure enough
    try x = 1 (should be right on the edge)
    5 - 7(2) > -9 ?
    5 - 14 >-9
    -9 >-9 sure enough, this is the edge

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