Which expression is equivalent to
2/3(9x-6)+4(1/2 x -- 1/2)

1/2 and 3/4 are fractions

Given expression is equivalent to the expression .

Step-by-step explanation:

Given expression is  

To simplify the expression:

Taking LCM 6 to the above expression we get

(Applying multiplication rules)

 ( doing sums to the terms)

We can take common number 2 outside to the above expression

Therefore  

Therefore given expression is equivalent to the expression .

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

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step-by-step explanation:

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