Step-by-step explanation:
(A u B ) = A union B = A + B
(A u B ) = ( a, b,c,d,e,g)
Answer:
5.64
Step-by-step explanation:
To find the radius of a square, cut in half 4/2 = 2. Then square it 2x2 = 4. Then double it to get 8. Then find square root, 2.82. Then double again for full length of diagonal.
Answer: the magnitude of a real number without regard to its sign.
Step-by
If both containers of orange juice are being sold at the same unit rate, the ratio of ounces to dollars would be the same for the two.
solve the equation by making an inequality:
96 oz. is to $4.80, as 128 oz. is to x
96/ 4.80 = 128/ x
cross multiply 128 and 4.80 to get 614.4
next divide the 614.4 by 96
to get an answer of 6.4
answer: $6.40
Answer:
(3)
Replcaing equation (3) into equation (2) we got:
![0.75(6.4 -0.2 Y) +0.95 Y = 18.4](https://tex.z-dn.net/?f=%200.75%286.4%20-0.2%20Y%29%20%2B0.95%20Y%20%3D%2018.4)
And solving for Y we got:
![4.8 -0.15 Y +0.95 Y = 18.4](https://tex.z-dn.net/?f=%204.8%20-0.15%20Y%20%2B0.95%20Y%20%3D%2018.4)
![0.8 Y = 13.6](https://tex.z-dn.net/?f=0.8%20Y%20%3D%2013.6)
![Y = 17](https://tex.z-dn.net/?f=%20Y%20%3D%2017)
And solving for X from equation (3) we got:
![X= 6.4 -0.2*17 = 3](https://tex.z-dn.net/?f=%20X%3D%206.4%20-0.2%2A17%20%3D%203)
So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration
Step-by-step explanation:
For this problem we can work with the concentration of water and orange juice.
Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content
Using the concentration of orange juice we have:
(1)
And for the water we have:
(2)
If we solve for X from equation (1) we got:
(3)
Replcaing equation (3) into equation (2) we got:
![0.75(6.4 -0.2 Y) +0.95 Y = 18.4](https://tex.z-dn.net/?f=%200.75%286.4%20-0.2%20Y%29%20%2B0.95%20Y%20%3D%2018.4)
And solving for Y we got:
![4.8 -0.15 Y +0.95 Y = 18.4](https://tex.z-dn.net/?f=%204.8%20-0.15%20Y%20%2B0.95%20Y%20%3D%2018.4)
![0.8 Y = 13.6](https://tex.z-dn.net/?f=0.8%20Y%20%3D%2013.6)
![Y = 17](https://tex.z-dn.net/?f=%20Y%20%3D%2017)
And solving for X from equation (3) we got:
![X= 6.4 -0.2*17 = 3](https://tex.z-dn.net/?f=%20X%3D%206.4%20-0.2%2A17%20%3D%203)
So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration