Answer:
The rate of plane in still air is 834 km/hr and the rate of wind is 80 km/hr.
Step-by-step explanation:
The airplane travels 6032 km in 8 hours against the wind.
So, 
........ (1) {Where u is the speed of plane in still air and v is the wind speed}
Again, the airplane travels 7312 km in 8 hours with the wind.
So, 
........ (2)
Now, adding equations (1) and (2) we get,
2u = 1668
⇒ u = 834 km per hour.
So, from equation (1), we get
v = u - 754 = 834 - 754 = 80 km per hour.
Therefore, the rate of the plane in still air is 834 km/hr and the rate of wind is 80 km/hr. (Answer)
The least common multiple of 3 and 8 is 24.
The least common multiple of two numbers is the lowest value number that is a multiple of both the numbers. To find the least common multiple of 3 and 8, you first list their multiples:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56...
When you compare the two lists of multiples, you can see that the number 24 is the lowest number that is a multiple of both 3 and 8, so it is their LCM, or least common multiple.
<em>HOPE THAT HELPS!!!!</em>
<u>Answer:</u>
10y + 2
<u>Step-by-step explanation:</u>
The formula for the perimeter of a rectangle or square is [length + length + width + width = perimeter or 2(length) + 2(width) = perimeter]
Our length here is y + 2. Either formula you use, [(y+2) + (y+2) or 2(y+2)] you should get the answer 2y + 4.
Next our width. The width is 4y-1. Either formula you use, [(4y-1) + (4y-1) or 2(4y-1)] you should get 8y - 2.
Then, simply add (2y+4) and (8y-2) to get 10y + 2. So, the perimeter of the garden is 10y + 2.
I hope this helps!
Answer:
y = 147.56 - 10.78x
Step-by-step explanation:
Given :
x = 10.2 ; y = 37.6 ; Sx = 2.8 ; Sy = 30.8 ; r = - 0.98
The regression equation :
y = mx + c
Where ;
m = slope ; c = intercept
Slope = r * (Sy/Sx)
Slope = - 0.98 * (30.8 / 2.8)
Slope = - 0.98 * 11 = - 10.78
To obtain c :
y = mx + c
y - mx = c
37.6 - (-10.78)(10.2) = c
37.6 + 109.956 = c
147.556 = c
Hence, equation becomes :
y = 147.556 - 10.78x
y = 147.56 - 10.78x
