John wanted to impress his friends by winning the 200 yard dash at the track meet. if he runs 8.2 feet per second, how long will
2 answers:
Answer:
Time taken by John to complete the dash will be 73.2 seconds
Step-by-step explanation:
Length of the dash is 200 yards
We will convert this length from yards to feet first.
∵ 1 yard = 3 feet
∴ 200 yards = 3×200
= 600 feet
Since John runs with a speed of 8.2 feet per second then we have to find the time to complete the dash.
Time =
=
= 73.17 seconds
≈ 73.2 seconds
Time taken by John to complete the dash will be 73.2 seconds.
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Answer:
Option A is correct.
The system of equation is inconsistent is;
2x+8y=6
5x+20y=2
Explanation:
* A system of equations is called an inconsistent system, if there is no solution because the lines are parallel.
* If a system has at least one solution, it is said to be consistent .
*A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions.
(A)
2x+8y=6
5x+20y=2
This is inconsistent, because as shown below in the graph of figure 1 that the lines do not intersect, so the graphs are parallel and there is no solution.
(B)
5x+4y=-14
3x+6y=6
this system of equation is Consistent because it has exactly one solution as shown below in the graph of Figure 2 and also it is independent.
(C)
x+2y=3
4x+6y=5
this system of equation is Consistent because it has exactly one solution as shown below in the graph of Figure 3.
(D)
3x-2y=2
6x-4y=4
this is a consistent system and has an infinite number of solutions, it is dependent because both equations represent the same line. as shown below in the graph of Figure-4.
Therefore, the only Option A system of equation is inconsistent.
