Answer:
B) (-2,1)
Step-by-step explanation:
In order to find a solution to a system of equations, substitute the point's x and y values into both of the equations, solve, and see if it makes the equation true.
1) Let's try the point (-2,1). First, substitute its x and y values into the first equation, 3x - 3y = -9. Thus, substitute -2 for x and 1 for y in the equation and solve:
-9 does equal -9, thus (-2, 1) makes the first equation true.
2) Now, do the same thing but with the second equation, 2x + y = -3. Again, substitute -2 for x and 1 for y and solve:
-3 does equal -3, thus (-2, 1) makes the second equation true.
By substituting its values into both equations, we saw that it made both equations true. Thus, (-2,1) is the answer.
Answer:
The coordinate of the rest stop is:
The distance between the hotel and the stadium is 32 miles
Step-by-step explanation:
Given
--- Team hotel
--- Stadium
Solving (a): The coordinates of the rest stop
The rest stop is at half way;
So, the coordinate is:
This gives:
Open bracket
Solving (b): Distance between the hotel and the stadium
We have:
--- Team hotel
--- Stadium
The distance (d) is:
So, we have:
From the question, we have:
So:
Answer:
Probability of picking Red ball is 27.5%
Step-by-step explanation:
Given:
Total Number of balls = 200
Number of White balls = 100
Number of Red balls = 55
Number of Black balls = 45
We need to find the probability of the ball picked to be red.
Solution:
Now we know that;
Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.
framing in equation form we get;
Hence Probability of picking Red ball is 27.5%.