D
An easier way of doing it mentally is 3 x 25 which is 75 and then 1 x 25 which is 25
Step-by-step explanation:
Answer:
(-8, -4) is the solution
Step-by-step explanation:
Determine whether or not (-8, -4) is a solution to this system. It is a solution if we can substitute -8 for x and -4 for y in both equations and find that both equations are true:
2(-8) = 5(-4) + 4 TRUE
3(-8) - 2(-4) = -16 TRUE
So (-8, -4) is a solution to the given system.
Check out the second possible solution in the same way:
2(8) = 5(4) + 4 FALSE
Check out the third possible sol'n in the same way:
2(-4) = 5(4) + 4 FALSE
Check out the fourth in the same way:
2(4) = 5(8) + 4 FALSE
So we conclude that (-8, -4) is the sole solution to the given system.
The first runner ran 2750 meters and second runner ran 2250 meters
<u>Solution:</u>
Given that,
Relay Races Two runners ran as a team in a 5,000-m relay race
Let "a" be the distance ran by first runner
Let "b" be the distance ran by second runner
The first runner ran 500 m farther than the second runner
Therefore,
distance ran by first runner = 500 + distance ran by second runner
a = 500 + b
a - b = 500
Thus the difference between the distance ran by first runner and distance ran by second runner is 500
Now lets try out different pairs of numbers with a sum of 5000 and the difference between that numbers should be 500
2500 + 2500 = 5000 [ But the difference is 2500 - 2500 = 0]
3000 + 2000 = 5000 [ But the difference is 3000 - 2000 = 1000 ]
2750 + 2250 = 5000 [The difference is 2750 - 2250 = 500 ]
Thus the pair of number is a = 2750 and b = 2250
Thus first runner ran 2750 meters and second runner ran 2250 meters
Mark 2 points on the coordinate grid and draw a line through them
One point would be when x = 0 and y = 1/2(0) + 5 = 5.
and another point is ( 10, 10)