Answer:
Distance between A and B is 5400 meters
Step-by-step explanation:
Consider "D" the letter to identify distance between A and B
Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:
Recall that distance equals the speed times the time:
distance= speed * time
First encounter:
100 * t = D - 80 * t
180 * t = D Equation (1)
Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .
Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:
100 *(t+6) = D - 75 * (t+6)
100 t + 600 = D - 75 t - 450
175 T + 150 = D Equation (2)
Now, let's equal equation (1) to equation (2), since D should be the same:
180 t = 175 t + 150
5 t = 150
t = 30
Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:
From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters
We are tasked to solve for the ratio of the two boxes. Boxes are cubes. We can use the formula in solving the surface area of the box as shown below:
Surface Area of Cube = 6a² where "a" is the length of the side.
For smaller box:
Area= 6(12)²=864
Area =864
For the larger box:
Area = 6(18)²
Area=1944
Then, the ratio is:
Area smaller box/Area larger box =864/1944
Ratio=4:9
Answer:
I think its the second one, im not quite sure.
Answer:
The answer to your question is 48 chairs
Step-by-step explanation:
Data
5 rows- 3 chairs left over
3 rows - 21 chairs left over
Process
1.- Write two equations each for each situation
x = number of rows
y = number of chairs
Equation 1 y = 5x + 3
Equation 2 y = 3x + 21
2.- Solve the system by equality
5x + 3 = 3x + 21
5x - 3x = 21 - 3
2x = 18
x = 18/2
x = 9
3.- Find the total number of chairs
y = 5(9)+ 3 y = 3(9) + 21
y = 45 + 3 y = 27 + 21
y = 48 y = 48
4.- Conclusion
There are 48 chairs
