✒MATHEMATICS
SOLUTION :
p varies directly as b² and inversely as s³, the equation is:
if p = 3/4, b = 6, s = 2 , Solve for k,
- 3/4 = k(6)²/(2)³
- 3/4 = 36k/8
- (36k)(4) = (3)(8)
- 144k = 24
- k = 24/144
- k = 1/6
So, if k = 1/6 , p = 6, s = 4, Solve for b,
- 6 = (1/6)(b²)/(4)³
- 6(4)³ = 1/6 b²
- 384(6) = b²
- b = √2304
- b = [tex]{\boxed{\green{\sf{48 }}}}[/tex]
ANSWER :
- Therefore, b = 48 when p = 6 and s = 4.
hope this helps
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