Answer:
117mph
Step-by-step explanation:
Given that
Total number of stations= 3
Total average time of journey of train = 65
total stop time at three stations = 3×2 =6 min
Total distance between stops = 115 miles
as we can see
Total time train was travelling = 65- 6 =59 min
so, average speed of train can be calculated as:
Average Speed = 
Average Speed = 
To convert this speed into miles per hour (mph) multiply the above speed by 60
Average speed = 60×1.95 =117 mph
So the average speed of train is 117mph.
For this case we have the following system of equations:
5x + 3y = 17
-8x - 3y = 9
We can rewrite the system like:
Ax = b
Where,
A = [5 3; -8 -3]
b = [17; 9]
x = [x; y]
The determinant of matrix A is given by:
lAl = ((5) * (- 3)) - ((3) * (- 8))
lAl = (-15) - (-24)
lAl = -15 + 24
lAl = 9
Answer:
The determinant for solving this linear system is:
lAl = 9
The given equations are:
5x - 2y = 88
3x + 4y = 58
Multiplying the 1st equation by 2, we get the new set of equations as:
10x - 4y = 176
3x + 4y = 58
Adding the two equations, we get:
10x - 4y + 3x + 4y = 176 + 58
13x =234
x = 18
Using the value of x in 1st equation, we get:
5(18) - 2y = 88
- 2y = 88 -5(18)
-2y = -2
y = 1
So, the solution of the equation is (18, 1)
Answer:
105
Step-by-step explanation:
(.5)πr²
to get the area of the shaded parts you have to subtract the area of the semicircle from the area of the rectangle
subtract the areas
≅ 
37 & the ship is 18.......
