Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 9.5, Problem 23PPS
To determine
To find the value of b2
Expert Solution & Answer
Answer to Problem 23PPS
the value of b2 is −10
Explanation of Solution
Given information:
a varies directly as b and inversely as c
the value of b1=12 when a1=8 and c1=3
Calculation:
The values of b2 can be obtained as
First set up a correct proportion for the information given
a1=kb1c1 and a2=kb2c2 [since, b varies directly as a so b goes in the numerator and c varies inversely as a,so c goes in the denominator]k=a1c1b1 and k=a2c2b2 [solve for k]a1b1c1=a2b2c2 [set the two proportion equal to each other]
Put the values of a1=8 , b1=12 , c1=3 , a2=5 and c2=−4 in above equation
(8)(3)12=(5)(−4)b2(8)(3)(b2)=(5)(−4)(12) [cross multiply]24b2=−240 [simplify]b2=−10 [divide each side by 24]
Hence,
the value of b2 is −10
Chapter 9 Solutions
Algebra 2
Ch. 9.1 - Prob. 1ACYPCh. 9.1 - Prob. 1BCYPCh. 9.1 - Prob. 2CYPCh. 9.1 - Prob. 3ACYPCh. 9.1 - Prob. 3BCYPCh. 9.1 - Prob. 4ACYPCh. 9.1 - Prob. 4BCYPCh. 9.1 - Prob. 4CCYPCh. 9.1 - Prob. 4DCYPCh. 9.1 - Prob. 5ACYP
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Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7PPSCh. 9.5 - Prob. 8PPSCh. 9.5 - Prob. 9PPSCh. 9.5 - Prob. 10PPSCh. 9.5 - Prob. 11PPSCh. 9.5 - Prob. 12PPSCh. 9.5 - Prob. 13PPSCh. 9.5 - Prob. 14PPSCh. 9.5 - Prob. 15PPSCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - Prob. 27PPSCh. 9.5 - Prob. 28PPSCh. 9.5 - Prob. 29PPSCh. 9.5 - Prob. 30PPSCh. 9.5 - Prob. 31PPSCh. 9.5 - Prob. 32PPSCh. 9.5 - Prob. 33PPSCh. 9.5 - Prob. 34PPSCh. 9.5 - Prob. 35PPSCh. 9.5 - Prob. 36PPSCh. 9.5 - Prob. 37PPSCh. 9.5 - Prob. 38PPSCh. 9.5 - Prob. 39PPSCh. 9.5 - Prob. 40PPSCh. 9.5 - Prob. 41PPSCh. 9.5 - Prob. 42PPSCh. 9.5 - Prob. 43PPSCh. 9.5 - Prob. 44PPSCh. 9.5 - Prob. 45PPSCh. 9.5 - Prob. 46PPSCh. 9.5 - Prob. 47PPSCh. 9.5 - Prob. 48HPCh. 9.5 - Prob. 49HPCh. 9.5 - Prob. 50HPCh. 9.5 - Prob. 51HPCh. 9.5 - Prob. 52HPCh. 9.5 - Prob. 53HPCh. 9.5 - 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