A because you are multiplying 3/4 by 1/2, you make the product smaller than 3/4
B beacue any number multiplied by one remains that number, since you are multiplying 3/4 by 1 it will remaim 3/4
C because the number multiplied by 3/4 is larger than 1 ( 3/2 = 1 1/2) the product will be larger than 3/4
Answer: 4 hrs
Step-by-step explanation: D=RT
500=(65+60)T
500=125T
T=500/125
T=4 HOURS THEY'L MEET.
2x + y = 3
x = 2y - 1
solve for y in the first equation;
2x + y = 3
y = 3 - 2x
x = 2y - 1
x = 2(3 - 2x) - 1
x = -4x + 5
solve for x;
x = -4x + 5
x + 4x = 5
5x = 5
x = 1
solve for y;
y = 3 - 2x
y = 3 - 2(1)
y = 1
the answer is: x = 1, y = 1
hope this helps, God bless!
Answer:
The speed of the boat in still water is 18 mph.
The speed of the current is 2 mph
Step-by-step explanation:
Let x represent the speed of the boat in still water.
Let y represent the speed of the current.
When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that
x - y = 16 (equation 1)
Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that
x + y = 20 (equation 2)
Adding both equations, it becomes
2x = 36
x = 36/2
x = 18 mph
Substituting x = 18 into equation 1, it becomes
18 - y = 16
y = 18 - 16
y = 2 mph
Angle AEB and angle CED are vertical angles, this means they equal each other, therefore we set their values as an equation and solve:
5x-10=3x+40
Subtract 3x to both sides
2x-10=40
Add 10 to both sides
2x=50
Divide both sides by 2
x=25
After we have gotten the value of x we can plug it in into the equation of angle AEB:
5x-10
Substitute x by 25
5(25)-10
Distribute
125-10
Substract
115
The measurement of angle AEB is 115
Hope it helped!, have a great day.
