Because irrational numbers are unpredictable. for example, you can write 0.25 in a fraction (1/4) because 1/4 is 1 divided by 4 which is 0.25. But you can never divide 2 numbers to get a decimal that never ends
B is the answer because you want to do the opposite
Find the least common multiple of 14 and 16.
14 = 7*2 ----> multiply by 8 ----> 8*7*2 = 112
16 = 8*2 ----> multiply by 7 -----> 7*8*2 = 112
The LCM is 112. This means it will be 112 minutes before they dump water at the same time.
112 min = 1 hr 52 min
3:20 + 1hr 52 min = 5:12
For the next time, add another 112 minutes
Answers: 5:12 PM and 7:04
Step by Step Solution
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System of Linear Equations entered :
[1] -4x - 3y = -7
[2] 16x - 3y = 13
Graphic Representation of the Equations :
-3y - 4x = -7 -3y + 16x = 13
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 16x = 3y + 13
[2] x = 3y/16 + 13/16
// Plug this in for variable x in equation [1]
[1] -4•(3y/16+13/16) - 3y = -7
[1] - 15y/4 = -15/4
[1] - 15y = -15
// Solve equation [1] for the variable y
[1] 15y = 15
[1] y = 1
// By now we know this much :
x = 3y/16+13/16
y = 1
// Use the y value to solve for x
x = (3/16)(1)+13/16 = 1
Solution :
{x,y} = {1,1}
