Answer:
Step-by-step explanation:
<u>Directly Proportion</u>
It's said that y varies directly proportional as x, if:
Where k is a constant of proportionality.
We know that y=7 when x=1/2.
Using the above condition, we can find the value of k:
Solving for k:
k=14
Thus, the equation is:
Answer:
37.5kg
Step-by-step explanation:
Since 0.5kg is equal to 1lb,
Bryan's weight in kg can be found by diving his weight in pounds by half.
Answer:
Step-by-step explanation:
The formula of a volume of a sphere:
We have
Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>
<em>divide both sides by 4</em>
![R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}](https://tex.z-dn.net/?f=R%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%3A4%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt1%7D%7B%5Csqrt8%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B1%7D%7B2%7D)
