2940. To find LCM, listing the multiples may help. Then you will easily be able to view them and circle when you find a common one. :)
Answer:
Rate of slower bus; 90 km/h
Rate of faster bus; 102 km/b
Step-by-step explanation:
We know that formula do distance is;
Distance = speed/time
We are told that One bus travels 12h slower than the other.
Let speed of slower bus be x.
Thus;
Speed of faster bus = x + 12
Speed of slower bus = x
After 3 hours, distance by faster bus = 3(x + 12)
Speed of slower bus = 3x
Since the towns are 576 km apart, then;
3(x + 12) + 3x = 576
Divide through by 3 to get;
x + 12 + x = 192
2x + 12 = 192
2x = 192 - 12
2x = 180
x = 180/2
x = 90 km/h
Faster bus speed = 90 + 12 = 102 km/h
2(x - 2) = -4x + 44
First, expand. / Your problem should look like:
Second, add 4 to both sides. / Your problem should look like:
Third, simplify -4x + 44 + 4 to get -4x + 48. / Your problem should look like:
Fourth, add 4x to both sides. / Your problem should look like:
Fifth, add 2x + 4x to get 6x. / Your problem should look like:
Sixth, divide both sides by 6. / Your problem should look like:
Seventh, simplify

to 8. / Your problem should look like:

Answer:
x = 8
<em>If the rate is a constant, the relationship is proportional.</em> (The rate is the constant of porportionality.)
_____
For two or more points on the function curve, divide the dependent variable value by the independent one. If you get the same result in every case, the relationship is porportional.
___
<em>Note</em>
For some non-proportional relationships, it is possible to find points on the graph that will pass the above test. If you suspect the relationship is actually not one of proportionality, try more points. Check also to make sure that (0, 0) is on the curve.
Answer:
Step-by-step explanation:
242=b+49