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harleycochran2ovyt3n
20.08.2020 •
Mathematics
If Q is inversely proportional to P and Q =0.25 when
P = 2,
(i) express Q in terms of P,
(ii) find the value of Q when P = 5,
(iii) calculate the value of P when Q = 0.2.
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Ответ:
Step-by-step explanation:
i)Q is inversely proportional to P is written as
where k is the constant of proportionality
we must first calculate the relationship between them
So we have
when Q = 0.25
P = 2
Substitute the values into the above equation
That's
Cross multiply
We have
k = 0.25 × 2 = 0.5
So the formula for the variation is
![Q = \frac{0.5}{P}](/tpl/images/0725/4332/2859e.png)
ii)when P = 5
We have
We have the answer as
Q =0.1iii)When Q = 0.2
We have
Cross multiply
That's
0.2P = 0.5
Divide both sides by 0.2
We have the answer as
P = 2.5Hope this helps you
Ответ: