What is [tex] \frac{15}{y} = \frac{40}{12} [/tex]?

(Solve the proportion)

y 15 ​ = 12 40 ​ y = 40 15 ∗ 12 ​ y = 10 15 ∗ 3 ​ y = 2 3 ∗ 3 ​ y = 2 9 ​ ​

Answered by mariamikayla | 2024-06-10

\frac{\big{15}}{\big{y}} = \frac{\big{40}}{\big{12}}\ \ \ \Rightarrow\ \ \ the\ domain:\ \ \ D=R-\{0\} \\\\ \frac{\big{15}}{\big{y}} = \frac{\big{4\cdot10}}{\big{4\cdot4}} \\\\ \frac{\big{15}}{\big{y}} = \frac{\big{10}}{\big{3}} \ \ \ \Leftrightarrow\ \ \ 15\cdot3=10\cdot y\\\\45=10y\ /:10\\\\4.5=y\\\\4.5\in D\\\\Ans.\ \ y=4.5

Answered by kate200468 | 2024-06-10

To solve the proportion y 15 ​ = 12 40 ​ , we cross multiply to get 180 = 40 y . Dividing both sides by 40 gives us the final answer y = 4.5 .
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Answered by kate200468 | 2024-10-01