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Bekks
07.07.2019 •
Mathematics
If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, find y when x is 6 and t = 3. 9 3/5 15 166 2/3
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Ответ:
answer : 15
x varies inversely as y and directly as t
We use formula![x = \frac{kt}{y}](/tpl/images/0063/1939/34423.png)
x varies inversely as y so we divide by y
x varies directly as t so we multiply x
k is the constant of proportionality
Lets find out k using the given values
x = 12 when t = 10 and y = 25
Multiply by 25 on both sides
300 = 10k (divide by 10)
So k = 30
Lets find y when x is 6 and t = 3. we got k = 30
6y = 90 (divide by 6 )
The value of y = 15
Ответ: