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In Mathematics / High School | 2014-10-28

If \( z \) varies inversely as \( w \), and \( z = 5 \) when \( w = 8 \), find \( z \) when \( w = 10 \).

Asked by Samwoods582

Answer (2)

[z\propto1/w
z=k/w
5=k/8
k=40]
If w=10,
[z=40/w
z=40/10
z=4]

Answered by ollieboyne | 2024-06-10

When z varies inversely as w , we can find a constant k using the initial values. After calculating k , we can determine that if w = 10 , then z = 4 .
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Answered by ollieboyne | 2025-03-05