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Sagot :

Answer:

y = 130

Step-by-step explanation:

given that y varies directly with x and z then the equation relating them is

y = kxz ← k is the constant of variation

to find k use the condition y = 150 when x = 2.5 and z = 12 , then

150 = k × 2.5 × 12 = 30k ( divide both sides by 30 )

5 = k

y = 5xz ← equation of variation

when x = 4 and z = 6.5 , then

y = 5 × 4 × 6.5 = 20 × 6.5 = 130

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