Answer:
Third graph down
Step-by-step explanation:
2x -6 ≥ 6(x-2)+8
Distribute
2x - 6≥6x -12+8
Combine like terms
2x - 6≥6x -4
Subtract 2x from each side
2x-6-2x ≥6x-2x-4
-6 ≥4x-12
Add 4 to each side
-6+4 ≥4x-4+4
-2 ≥4x
Divide by 4
-2/4 ≥4x/4
-1/2≥x
Closed circle at -1/2
Line going the the left
Add 5/9 to both sides. common denominator would be 72 so you would multiply the top and bottom of 3/8 by 9 (bc 9x8 is 72) to get 27/72. you would multiply top and bottom of 5/9 by 8 to get 40/72 and you would add 40+27 which equals 67 so x=67/72 i believe
Answer:
b+3a
Step-by-step explanation:
MN=AN+AM
AN=0.5*AB
AB=OA+OB=4a+2b
AN=2a+b
AM=OA-OM=4a-3a=a
MN=2a+b+a=3a+b
Answer:
C
Step-by-step explanation:
Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.
From the first part of the question, we already know the distances in the first 5 minutes.
Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;
Mathematically; Total distance = average speed * time
From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.
That would be 5/60 = 1/12 hours
So the total distance in the second 5 minutes is;
33 * 1/12 = 2.75 km
Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;
That would be;
68 + 127 + 208 + 312 + 535 = 1,250 m
Let’s convert this to km.
We simply divide by 1000 = 1250/1000 = 1.25 km
The total distance is thus ;
1.25 + 2.75 = 4 km