Answer:
Step-by-step explanation:
15). Given equation is,
Multiply the equation by 8,
Subtract 
from both the sides of the equation,
Therefore, value of the variable 'y' will be,
Answer: the speed of the wind is 365 mph
Step-by-step explanation:
Let x represent the speed of the wind.
An airplane can travel 365mph in still air. If it travels 2716 miles with the wind, it means that its total speed while flying with the wind is (365 + x) mph.
Time = distance/speed
Time spent in flying with the wind is
2716/(365 + x)
In the same length of time, it travels 2394 miles against the wind. it means that its total speed while flying against the wind is (365 - x) mph.
Time spent in flying against the wind is
2394/(365 - x)
Since the time is the same, it means that
2716/(365 + x) = 2394/(365 - x)
Cross multiplying, it becomes
2716(365 - x) = 2394(365 + x)
991340 - 2716x = 873810 + 2394x
2394x + 2716x = 991340 - 873810
5110x = 1865150
x = 1865150/5110
x = 365 mph
The top row of matrix A (1, 2, 1) is multiplied with the first column of matrix B (1,0,-1) and the result is 1x1 + 2x0 + 1x -1 = 0 this is row 1 column 1 of the resultant matrix
The top row of matrix A (1,2,1) is multiplied with the second column of matrix B (-1, -1, 1) and the result is 1 x-1 + 2 x -1 + 1 x 1 = -2 , this is row 1 column 2 of the resultant matrix
Repeat with the second row of matrix A (-1,-1.-2) x (1,0,-1) = 1 this is row 2 column 1 of the resultant matrix, multiply the second row of A (-1,-1,-2) x (-1,-1,1) = 0, this is row 2 column 2 of the resultant
Repeat with the third row of matrix A( -1,1,-2) x (1,0, -1) = 1, this is row 3 column 1 of the resultant
the third row of A (-1,1,-2) x( -1,-1,1) = -2, this is row 3 column 2 of the resultant matrix
Matrix AB ( 0,-2/1,0/1,-2)
At 1/8 of a gallon you can mow 2 1/4 so for 1 gallon just multiply 2 1/4 by 8
16+2 is 18
Answer:
3
/10
Decimal Form:
0.3
Step-by-step explanation:
