The problem statement gives a relation between the amount removed from one bag and the amount removed from the other. It asks for the amount remaining in each bag. Thus, there are several choices for variables in this problem, some choices resulting in more complicated equations than others.
Let's do it this way: let x represent the amount remaining in bag 1. Then the amount removed from bag 1 is (100-x). The amount remaining in bag 2 is 2x, so the amount removed from that bag is (100-2x). The problem statement tells us the relationship between amounts removed:
... (100 -x) = 3(100 -2x)
... 100 -x -3(100 -2x) = 0 . . . . . . subtract the right side
... 5x -200 = 0 . . . . . . . . . . . . . . eliminate parentheses and collect terms
... x -40 = 0 . . . . . . . . . . . . . . . . .divide by 5
... x = 40 . . . . . . . . . . . . . . . . . . . add 40
- 40 kg is left in the first bag
- 80 kg is left in the second bag
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<u>Check</u>
The amount removed from the first bag is 60 kg. The amount removed from the second is 20 kg. The amount removed from the first bag is 3 times the amount removed from the second bag, as described.
Answer:
4.95m
Step-by-step explanation:
Let the length of longer and shorter pipe be x and y respectively..
given,
x/y=9/2...(i)
x-1.65=3y ...(ii)
in eqn ii..
x-1.65=3y
or, x/y - 1.65/y = 3
or, 9/2-1.65/y =3
or, 4.5-3 = 1.65/y
or, y=1.65/1.5
•°• y = 1.1m
now,
x/y = 9/2
or, x/1.1 = 4.5
x= 4.5×1.1
•°• x= 4.95m
thus, the length of the longer pipe is 4.95m
Answer:
B
Step-by-step explanation:
3x2-3x5i-7ix2x7ix(-5i)
6-15i-14i+35i^2
6-15i-14i+35x(-1)
6-15i-14i-35
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Answer: c=38.89
b=29.79
<A=40
Explanation:
I hope this helped!
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- Zack Slocum
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Since she is rolling 1 six sided dice the chances of her rolling a 3 are 1:6 because, she is trying to land on 3 not 3 numbers.
