1.if a varies directly as b and a=36 when b=3
2.If m varies inversely as n and m=10 when n=14
3.If y varies jointly as x and z,and y=144 when x=6 and z=4.
4.If P varies directly as T and inversely as V, and P=36 when T =12 and V=5.
5.If g varies directly as m and g=63 when m=9
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Answer:
1.) k=12
1.) k=140
3.) k=6
4.) k=15
5.) k=7
Step-by-step explanation:
1.)
a=kb
36=k(3)
(divide both sides by 3)
k=12
2.)
m=k/n
10=k/14
(multiply 10 by 14)
k=140
3.)
y=kxz
144=k(6)(4)
144=k(24)
(divide both sides by 24)
k=6
4.)
P=kT/V
36=k(12)/5
(multiply 36 by 5)
180=k(12)
(divide both sides by 12)
k=15
5.)
g=km
63=k(9)
(divide both sides by 9)
k=7