D varies jointly as h and g, if d=50 when h=4 and g=3,find d when h=24 and g=6.
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D varies jointly as h and g, if d=50 when h=4 and g=3,find d when h=24 and g=6
D varies jointly as h and g, if d=50 when h=4 and g=3,find d when h=24 and g=6.
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Problem:
D varies jointly as h and g, if d=50 when h=4 and g=3, find d when h=24 and g=6.
Solution:
d = khg
50 = k(4)(3)
50 = 12k
[tex]\[\frac{{50}}{{12}} = \frac{{12k}}{{12}}\][/tex]
[tex]\[\begin{array}{l}k = \frac{{50}}{{12}} \div \frac{2}{2}\\\\k = \frac{{25}}{6}\end{array}\][/tex]
d = khg
[tex]\[\begin{array}{l}d = \frac{{25}}{6}(24)(6)\\\\d = \frac{{25}}{6}(144)\\\\d = \frac{{3600}}{6}\\\\d = 600\end{array}\][/tex]
Answer:
d = 600
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