Which of the following equations is equivalent to 1/2x -2/3 y = 5? x - 2y = 30 4x - 3y = 30 3x - 4y = 30

3x -4y = 30

Step-by-step explanation:

Multiply the given equation by the least common denominator of the fractions, 6.

... (1/2x)·6 -(2/3y)·6 = 5·6

... 3x -4y = 30 . . . . . . simplify

i assume that by 5 you mean 5 gallons.

(20)(0.25) = 15

removing 15 gallons reduces the tank from 20 to 5.

- "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."