Revisit
If a/b = c d = 4/5, then the simplified value of which of these expressions is equivalent to (4a-3c)(5b+4d)?
Answers
Answered by
2
Answer:
I think 180
Step-by-step explanation:
(4(4)-3(4)) (5(5)+4(5))
(16-12) (25+20)
(4) (45)
180
Answered by
31
a/b = c/d = 4/5
simplified value of which of these expressions is equivalent to
A. -8/65
B. 4/45
C. 8/45
D. 12/45
E. Cannot be determined.
a/b = c/d = 4/5 = k
a = bk
c = dk
(4a-3c)/(5b+4d)
= (4bk - 3dk) / (5b + 4d)
=k (4b-3d)/(5b + 4d )
dividing numerator and denominator by d
=k (4b/d-3)/(5b/d + 4 )
Let take, b/d = m
= k ( 4m - 3)/ (5m + 4)
k = 4/5
= 4( 4m - 3)/ 5(5m + 4)
(4a-3c)/(5b+4d) = 4( 4m-3)/ 5(5m + 4)
a/b = c/d = 4/5 = k
case 1: Let say = a = 4 5 , c = 4 then b = 5, d = b/d = 1
Hence (4a-3c)/(5b+4d) = 4(4-3)/ 5(5 + 4) = 4/45
case 2 Let say = a = 8 5 , c = 4 then b = 10, d = b/d =2
Hence (4a-3c)/(5b+4d) = 4( 4 (2) -3)/ 5(5(2) + 4) 20/702/7
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