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.
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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 :(.
2 answers
#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