This is a typical mixture problem where using a table is the best thing.
pints juice % juice = total % juice
juice A x .70 = .70x
juice B 60-x .95 = .95(60-x)
total 60 .75 = 60(.75)
The last row gives you a total that you need to use, so do that multiplication to get 45. You now to need to add the last columns together for rows 1 and 2 and set them equal to 45: .7x +.95(60-x) = 45. When you do that math, you'll get that x = 48. This means that you need 48 pints of juice A and 60-48 pints of juice B, which is 12 pints.
Answer: The greatest common factor is 6.
Step-by-step explanation:
18 goes into 6, 3 times
30 goes into 6, 5 times and q2 goes into 6, 2 times
Divide all three numbers by 6.
The new equation will look like: 3x-5+2y
Answer:
The lady is on the second door
Step-by-step explanation:
we have that
The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"
The sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger."
so
The sign on the second door is true
The sign on the first door is true or false
Since one of these signs is true and the other is false, the sign in the first door must be false
therefore
The lady is on the second door
Given that the volume of the prism is given by:
10 cubic units and the the side length of cubes to fill the prism is 1/2 units. Then the number of cubes required to fill the prism will be given by:
(volume of rectangular prism)/(volume of cube)
but
volume of cube is:
volume=length*width*height
volume=1/2×1/2×1/2=1/8 cubic units
thus the number of cubes required to fill the prism will be:
10/(1/8)
=10×8/1
=80 cube
Answer: 80 cubes
Answer:
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Step-by-step explanation: