For number 6 I know the answer is 34 beacuse you add 6, 13, and 15 together to get 34.
The solution is -5/4= -1 1/4
Answer:
Rate of Bill's boat = 14 miles per hour
Speed of the current = 2 miles per hour
Step-by-step explanation:
Let x = the rate of the boat in still water and y = the rate of the current.
Distance traveled = 24 miles
Time taken for upstream motion = 2 hour
Time taken for downstream motion = 1.5 hour
Velocity of upstream motion = x - y
Velocity of downstream motion = x + y
We have
Displacement = Time x Velocity
Upstream motion
24 = 2(x-y)
x - y = 12 ----------------------------eqn 1
Downstream motion
24 = 1.5(x+y)
x + y = 16 ----------------------------eqn 2
eqn 1 + eqn 2
2 x = 28
x = 14 miles per hour
Substituting in eqn 2
14 + y = 16
y = 2 miles per hour
Rate of Bill's boat = 14 miles per hour
Speed of the current = 2 miles per hour
Since the two equations equal y, set them equal to each other.
x-1=-2x+5
From there, solve for x.
First get x on one side, by using the addition property of equality.
x-1=-2x+5
3x-1=5
Isolate x by adding 1.
3x=6
Lastly get x all by itself by dividing each side by 3.
x=2
You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)
y=x-1
y=2-1
y=1
OR
y=-2x+5
y=-2(2)+5
y=-4+5
y=1
Final answer:
x=2 and y=1
Any questions or anything you would like me to clarify, feel free to ask :)
Answer:
0.667
Step-by-step explanation:
3x = 2
3x/3 = 2/3
x = 2/3
0.66666666666666666666666666666666666666666666666.....
Answer: 0.667
