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23 January, 15:20

The number 2.31 * 10^x is 2,200 times greater than 1.05 * 10^y. Find the correct value of x and y.

A. x = 10 and y = 30

B. x = 10 and y = 13

C. x = 30 and y = 10

D. x = 13 and y = 10

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Answers (1)
  1. 23 January, 15:45
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    You will set it up so that the two equations are equal to each other.

    2,200 * (2.31 * 10^x) = 1.05 * 10^y

    Then depending on what you have learned you either plug in each value and check, or solve it mathmatically.

    The steps for solving mathmatically:

    Distribute the 2,200.

    5082 * 22000^x = 1.05 * 10^y

    Next divide both sides by 1.05

    4840 * 20952.4^x = 10^y

    I don't know if that is to the power of y or times y?
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