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11-15: Solve for the unknown variable.
11. a varies jointly as b and c. If a = 3 when b = 3 and c = 15, find a when b = 6 and 9.
12. varies jointly as x and y. If z = 35 when x = 5 and y = 7, find z when x = 4 and y=9.
13. m varies jointly as the square of n and o. If m = 40 when n = 2 and o= 5, find m when n = 6 and 0-4.
14. x varies jointly as y and z. If x = 48 when y = 2 and z = 6, find y when x = 96 and 2 = 12.
15. In item # 14, what is z when x = 64 and y = 5.​

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LHELHENGGO

Answer:

11. a=kbc

3=k(3)(15)

3=k45

k=3/45

k= 1/15

a= 1/15(6)(9)

a= 3 9/15

or 3 3/5

12. z=kxy

35=k(5)(7)

35=k35

k=35/35

k= 1

z=1(4)(9)

z=36

13. m=kn^2o

40=k(2)^2(5)

40=k4(5)

40=k20

k=40/20

k= 2

m=2(6)^2(4)

m=2(36)(4)

m=288

14. x=kyz

48=k(2)(6)

48=k12

k=48/12

k=4

x=4(96)(12)

x=4,608

15. 64=4(5)z

64=20z

z=64/20

z= 3 4/20

or 3 1/5

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