Answer:
18,000
Step-by-step explanation: Multiply 45 by 400 to find the total number of gallons of water used daily
45 x 400 = 18,000
<h2>Matrix</h2>
<em><u>matrix</u></em> is a rule of writing or presenting data consisting of rows and columns in an open or closed parenthesis.
<em><u>•</u></em><em><u> </u></em><u><em>the problem above is about matrix </em><em>multiplication</em></u>
the first type of multiplication :
if k is a constant and A is a matrix, then kA can be operated by multiplying each element of matrix A by the constant k.
<em>ex </em><em>:</em><em> </em>3[-1 2 2] = [-3 6 6]
multiplication of two matrices :
the multiplication of a 1x n matrix and a n × 1 column matrix is a 1 × 1 matrix.
<em><u>the above problem using matrices of 3 × 1 and 1 × 3 size will produce a 3 × 3 </u></em><em><u>matrix</u></em><em><u>. </u></em>
<h3>Answer :</h3>
| 3 | | 9 |
3|19| [-1 -3 -5] =|57| [-1 -3 -5]
|12| |36|
| 9×(-1) 9×(-3) 9×(-5) |
= | 57×(-1) 57×(-3) 57×(-5)|
| 36×(-1) 36×(-3) 36×(-5)|
| -9 -27 -45 |
= | -57 -171 -285|
| -36 -108 -180|
Answer:
1,000,000 times larger
Step-by-step explanation:
2 x = 200,000,000
2 x = 200
200,000,000 divided by 200 is 1,000,000
It can also be solved by subtracting the exponents from 10. Then dividing the two number being put the scientific notation.
=
2 ÷ 2 = 1
Now solve:
1 x = 1,000,000
Answer: speed of plane is 720 km/h
Speed of wind is 80km/h
Step-by-step explanation:
Let x represent the speed of the plane.
Let y represent the speed of the wind.
The plane flies from Atlanta to los Angeles and against the wind in 5hrs and the distance between Atlanta and los Angeles is 3200 km.
Since it flew against the wind, the speed would be x-y km/hour
Distance = speed × time. Therefore
3200 = 5(x - y )
3200 = 5x - 5y - - - - - - - - - 1
the return trip back to Atlanta with the wind only 4 hr. This means that the speed is x+y km/hour. Therefore
3200 = 4(x+y)
3200 = 4x + 4y - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 5, it becomes
12800 = 20x - 20y
16000 = 20x - 20y
Adding both equations, it becomes
28800 = 40x
x = 28800/40 = 720
Substituting x = 720 into 3200 = 5(x - y )
x - y = 3200/5 = 640
y = 720 - 640 = 80
Answer:
B = C - D / A
Step-by-step explanation:
C = AB + D
subtract D
C - D = AB
Divide by A
B = C - D / A
C and D are both divided by A