The question is unclear but I will assume they mean 1/4 and 3 1/2.
Find common denominators.
1/4
3 1/2 -> 3 2/4
Turn into an improper fraction.
3 2/4 -> 14/4
Divide.
14/4 / 1/4
14/4 * 4/1
56/4
14
So, they can make 14 ornaments.
Best of Luck!
Answer:
i dont know sorry i tried
Step-by-step explanation:
Answer: V≈1642 cm³.
Step-by-step explanation:
D=20 cm d=12 cm h=8 cm V=?
![R=\frac{D}{2}=\frac{20}{2} =10 \ (cm).\\ r=\frac{d}{2}=\frac{12}{2}=6 \ (cm).\\ \boxed {V=\frac{1}{3} *\pi *h*(R^2+R*r+r^2)} \ \ \ \ \ \Rightarrow\\V=\frac{1}{3}*\pi *8*(10^2+10*6+6^2)\\V=\frac{1}{3}*\pi *8*(100+60+36)\\ V=\frac{8}{3} *\pi *196\\V=\frac{8*196*\pi }{3} \\V\approx1642\ cm^3.](https://tex.z-dn.net/?f=R%3D%5Cfrac%7BD%7D%7B2%7D%3D%5Cfrac%7B20%7D%7B2%7D%20%3D10%20%5C%20%28cm%29.%5C%5C%20r%3D%5Cfrac%7Bd%7D%7B2%7D%3D%5Cfrac%7B12%7D%7B2%7D%3D6%20%5C%20%28cm%29.%5C%5C%20%5Cboxed%20%7BV%3D%5Cfrac%7B1%7D%7B3%7D%20%2A%5Cpi%20%2Ah%2A%28R%5E2%2BR%2Ar%2Br%5E2%29%7D%20%5C%20%5C%20%5C%20%5C%20%5C%20%5CRightarrow%5C%5CV%3D%5Cfrac%7B1%7D%7B3%7D%2A%5Cpi%20%20%2A8%2A%2810%5E2%2B10%2A6%2B6%5E2%29%5C%5CV%3D%5Cfrac%7B1%7D%7B3%7D%2A%5Cpi%20%2A8%2A%28100%2B60%2B36%29%5C%5C%20V%3D%5Cfrac%7B8%7D%7B3%7D%20%2A%5Cpi%20%2A196%5C%5CV%3D%5Cfrac%7B8%2A196%2A%5Cpi%20%7D%7B3%7D%20%5C%5CV%5Capprox1642%5C%20%20cm%5E3.)
Answer: Equilibrium price would be $13.33 and equilibrium quantity would be 133.3 units.
Step-by-step explanation:
Since we have given that
Demand function is stated as
![D(p)=200-5p](https://tex.z-dn.net/?f=D%28p%29%3D200-5p)
Supply function is stated as
![S(p)=10p](https://tex.z-dn.net/?f=S%28p%29%3D10p)
We need to find the equilibrium price and quantity for this device.
For equilibrium, D(p) = S(p).
so, it becomes,
![200-5p=10p\\\\200=10p+5p\\\\200=15p\\\\p=\dfrac{200}{15}\\\\p=\$13.33](https://tex.z-dn.net/?f=200-5p%3D10p%5C%5C%5C%5C200%3D10p%2B5p%5C%5C%5C%5C200%3D15p%5C%5C%5C%5Cp%3D%5Cdfrac%7B200%7D%7B15%7D%5C%5C%5C%5Cp%3D%5C%2413.33)
and when we put the value of p in any function:
![Q=10\times 13.33=133.3\ units](https://tex.z-dn.net/?f=Q%3D10%5Ctimes%2013.33%3D133.3%5C%20units)
Hence, Equilibrium price would be $13.33 and equilibrium quantity would be 133.3 units.