Suppose x varies directly as y and inversely as z. If x=30 when y =40

1.	Suppose x varies directly as y and inversely as z. If x=30 when y =40 and z=80, find x when y= 24 and z=40
Answer» SOLUTION GIVEN Suppose x varies directly as y and inversely as z. x=30 when y =40 and z=80, TO DETERMINE The value of x when y = 24 and z=40 EVALUATION Here it is given that x varies directly as y and inversely as z $\displaystyle \sf{\implies \: x \propto \: \frac{y}{z} }$ $\displaystyle \sf{\implies \: x = \: \frac{ky}{z} } \: \: \: - - - - (1)$ Where k is a non ZERO real number Now x = 30 , y = 40 , z = 80 gives $\displaystyle \sf{\implies \: 30 = \: \frac{40k}{80} } \: \: \:$ $\displaystyle \sf{\implies \:40k = 2400 } \: \: \:$ $\displaystyle \sf{\implies \:k =60 } \: \: \:$ Equation 1 gives $\displaystyle \sf{ x = \: \frac{60y}{z} } \: \: \: - - - - (2)$ Now y = 24 , z = 40 gives $\displaystyle \sf{\implies \: x = \: \frac{60 \times 24}{40} } \: \: \:$ $\displaystyle \sf{\implies \: x = \: 36}$ FINAL ANSWER Hence the required value of x = 36 ━━━━━━━━━━━━━━━━ Learn more from BRAINLY :- 1. If x is inversely proportional to y and x = 40 when y = 5, find () the value of x when y = 25, (ii) an equation connecting brainly.in/question/33423716 2. if x varies directly as y the COMPLETE the following table brainly.in/question/12901438