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a = c = 3b
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23 Jun 2018, 12:30
23 Jun 2018, 12:30
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Expert Reply
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Question Stats:
60% (00:35) correct
39% (00:38) wrong based on 145 sessions
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\(a = \frac{b}{2}\)
\(c = 3b\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
\(c = 3b\)
Quantity A |
Quantity B |
a |
c |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: a = c = 3b
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24 Jun 2018, 05:07
24 Jun 2018, 05:07
1
a=b/2 and b=c/3
from here we get the ration a:b:c as 1:2:6 but we do not know the sign {+ or -} of a,b and c therefore the
answer is D cannot be determined
from here we get the ration a:b:c as 1:2:6 but we do not know the sign {+ or -} of a,b and c therefore the
answer is D cannot be determined
Re: a = c = 3b
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18 Jul 2018, 07:38
18 Jul 2018, 07:38
Expert Reply
Explanation
To compare a and c, put c in terms of a. Multiply the first equation by 2 to find that b = 2a.
Substitute into the second equation: c = 3b = 3(2a) = 6a. If all three variables are positive, then 6a > a.
If all three variables are negative, then a > 6a. Finally, all three variables could equal zero, making the two quantities equal.
To compare a and c, put c in terms of a. Multiply the first equation by 2 to find that b = 2a.
Substitute into the second equation: c = 3b = 3(2a) = 6a. If all three variables are positive, then 6a > a.
If all three variables are negative, then a > 6a. Finally, all three variables could equal zero, making the two quantities equal.
