Step-by-step explanation:
Answer:
2 : 3
Step-by-step explanation:
Total cans of blue paint = 14
Total cans of yellow paint = 20
Day 1:
Yellow paint = 6 cans
Blue paint = 4 cans
Ratio of blue paints to yellow paint
4 cans : 6 cans
= 2 : 3
Day 2:
Yellow paint = 9 cans
Blue paint = 6 cans
Ratio of blue paints to yellow paint
6 cans : 9 cans
2 : 3
The ratio of blue paint to yellow paint in the mixture is 2 : 3
Day 3:
Cans of yellow remaining after 2 days
Yellow paint = Total cans of yellow paint - day 1 cans of yellow paint - day 2 cans of yellow paint
= 20 - 6 - 9
= 20 - 15
= 5 cans
Cans of blue remaining after 2 days
Blue paint = Total cans of blue paint - day 1 cans of blue paint - day 2 cans of blue paint
= 14 - 4 - 6
= 14 - 10
= 4 cans
Answer:
18.84 green units
Step-by-step explanation:
Circumference = pi × d
3.14 × 6
= 18.84 green units
Answer:
The order is "D, B, A, E, C".
Step-by-step explanation:
The numbers are as follows:
![A=\frac{2^{1/2}}{4^{1/6}}\\\\B = \sqrt[12]{128}\\\\C=(\frac{1}{8^{1/5}})^{2}\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B2%5E%7B1%2F2%7D%7D%7B4%5E%7B1%2F6%7D%7D%5C%5C%5C%5CB%20%3D%20%5Csqrt%5B12%5D%7B128%7D%5C%5C%5C%5CC%3D%28%5Cfrac%7B1%7D%7B8%5E%7B1%2F5%7D%7D%29%5E%7B2%7D%5C%5C%5C%5CD%20%3D%20%5Csqrt%7B%5Cfrac%7B4%5E%7B-1%7D%7D%7B2%5E%7B-1%7D%5Ccdot%208%5E%7B-1%7D%7D%7D%5C%5C%5C%5CE%20%3D%20%5Csqrt%5B3%5D%7B2%5E%7B1%2F2%7D%7D%5Ccdot%204%5E%7B-1%2F4%7D)
Simplify the value of A, B, C, D and E as follows:
![A=\frac{2^{1/2}}{4^{1/6}}=\frac{2^{1/2}}{2^{2/6}}=\frac{2^{1/2}}{2^{1/3}}=2^{1/2-1/3}=2^{1/6}=1.1225\\\\B = \sqrt[12]{128}=(128)^{1/12}=(2^{7})^{1/12}=2^{7/12}=1.4983\\\\C=(\frac{1}{8^{1/5}})^{2}=(\frac{1}{(2^{3})^{1/5}})^{2}=(\frac{1}{2^{3/5}})^{2}=\frac{1}{2^{3/5\times2}}=\frac{1}{2^{6/5}}=2^{-6/5}=0.4353\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}=\sqrt{\frac{2^{-2}}{2^{-1}\cdot 2^{-3}}}=\sqrt{2^{-2+1+3}}=2\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}= (2^{1/2})^{1/3}\cdot 2^{-2/4}=2^{-1/3}=0.7937](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B2%5E%7B1%2F2%7D%7D%7B4%5E%7B1%2F6%7D%7D%3D%5Cfrac%7B2%5E%7B1%2F2%7D%7D%7B2%5E%7B2%2F6%7D%7D%3D%5Cfrac%7B2%5E%7B1%2F2%7D%7D%7B2%5E%7B1%2F3%7D%7D%3D2%5E%7B1%2F2-1%2F3%7D%3D2%5E%7B1%2F6%7D%3D1.1225%5C%5C%5C%5CB%20%3D%20%5Csqrt%5B12%5D%7B128%7D%3D%28128%29%5E%7B1%2F12%7D%3D%282%5E%7B7%7D%29%5E%7B1%2F12%7D%3D2%5E%7B7%2F12%7D%3D1.4983%5C%5C%5C%5CC%3D%28%5Cfrac%7B1%7D%7B8%5E%7B1%2F5%7D%7D%29%5E%7B2%7D%3D%28%5Cfrac%7B1%7D%7B%282%5E%7B3%7D%29%5E%7B1%2F5%7D%7D%29%5E%7B2%7D%3D%28%5Cfrac%7B1%7D%7B2%5E%7B3%2F5%7D%7D%29%5E%7B2%7D%3D%5Cfrac%7B1%7D%7B2%5E%7B3%2F5%5Ctimes2%7D%7D%3D%5Cfrac%7B1%7D%7B2%5E%7B6%2F5%7D%7D%3D2%5E%7B-6%2F5%7D%3D0.4353%5C%5C%5C%5CD%20%3D%20%5Csqrt%7B%5Cfrac%7B4%5E%7B-1%7D%7D%7B2%5E%7B-1%7D%5Ccdot%208%5E%7B-1%7D%7D%7D%3D%5Csqrt%7B%5Cfrac%7B2%5E%7B-2%7D%7D%7B2%5E%7B-1%7D%5Ccdot%202%5E%7B-3%7D%7D%7D%3D%5Csqrt%7B2%5E%7B-2%2B1%2B3%7D%7D%3D2%5C%5C%5C%5CE%20%3D%20%5Csqrt%5B3%5D%7B2%5E%7B1%2F2%7D%7D%5Ccdot%204%5E%7B-1%2F4%7D%3D%20%282%5E%7B1%2F2%7D%29%5E%7B1%2F3%7D%5Ccdot%202%5E%7B-2%2F4%7D%3D2%5E%7B-1%2F3%7D%3D0.7937)
Arrange the following numbers in increasing order as follows:
D > B > A > E > C
Thus, the order is "D, B, A, E, C".
