y varies jointly as x and z if y = 5 when x = 3 and z = 4 find y when x = 6 and z = 8
SOLUTION PO PLEASE
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y varies jointly as x and z if y = 5 when x = 3 and z = 4 find y when x = 6 and z = 8
SOLUTION PO PLEASE
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Answer:
Y is 20.
Step-by-step explanation:
[tex]\\ \tt{}y = kxz[/tex]
[tex]\\ \tt{}5 = k(3)(4)[/tex]
[tex]\\ \tt{}5 = 12k[/tex]
[tex]\\ \tt{} \frac{5}{12} = k[/tex]
[tex]\\ \tt{}k = \frac{5}{12} [/tex]
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[tex]\\ \tt{}y = kxz[/tex]
[tex]\\ \tt{}y = \bigg( \frac{5}{12} \bigg)(6)(8)[/tex]
[tex]\\ \tt{}y = \bigg( \frac{5}{12} \bigg)(48)[/tex]
[tex]\\ \tt{}y = \frac{5 \times 48}{12} [/tex]
[tex]\\ \tt{}y = \frac{240}{12} [/tex]
[tex]\\ \boxed{ \huge \boxed{\tt{}y = 20}} \\ \\ \\ [/tex]
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