If y varies directly as x and inversely as z,

et3atissb

et3atissb

Answered question

2022-04-21

If y varies directly as x and inversely as z, and y=10 when x=4 and z=3, find y when x=7 and z = 15.

Answer & Explanation

drenkttj9

drenkttj9

Beginner2022-04-22Added 20 answers

Step 1
Given
y varies directly as x
i.e.
yx
and
abd inversely as z
y14
Hence
y14
y=14 ...(1)
Where 'k' is proportional constant
Step 2
Put y=10,x=4 and z=3 in equation (1)
10=k×43
k=304
152 ...(2)
Now put x=7 and z=15 in equation(1),then
y=k×715
y=152×715
=72
Step 3
Answer:
y=72

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