Algebra

1.)Which of the following statements is true?

Positive numbers are always rational numbers.

Negative numbers are always irrational numbers.

Negative numbers are sometimes rational numbers.*********

Negative numbers are always integers.
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2.)Are ratios 80/96 and 77/84 proportional?

Yes, because they both reduce to the equivalent fraction 5/6.

Yes, because the cross products 80x84 and 96x77 are equal.
_ _
No, Because one has a quotient of 0.83 and the other has a quotient of 0.916

No, because one ratio reduce to5/6 and the other reduces to 3/4.
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3.)Ben's cookie recipe calls for 3 1/4 cups of flour. if the recipe was increase by a factr of 1 1/2, how much flour would ben need?

4 1/3

4 1/2

4 3/4

4 7/8

Please explain how to do the problems 2 and 3 :(.

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  1. #1 ok
    #2 If they are proportional, then you need
    80/96 = 77/84
    Thus, you need 80*84 = 77*96, clearly false
    or,
    since 80/96 = 5/6 = 0.833 and 77/84 = 11/12 = 0.916
    they are not equal

    #3 increased by a factor of 1 1/2 means you multiply by 1 1/2
    3 1/4 * 1 1/2 = 13/4 * 3/2 = 39/8 = 4 7/8

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  2. Ok thank you for explaining it to me it. :)!

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