If AC = 150, AB = 4x+34 and BC = 6x+6, what is the value of x?

  x = 11

Step-by-step explanation:

If we assume that points A, B, and C are on the same line with B between A and C, then we have ...

  AB +BC = AC

  (4x +34) +(6x +6) = 150 . . . . use the given expressions

  10x +40 = 150 . . . . . . . . . . . . collect terms

  10x = 110 . . . . . . . . . . . . . . . .  subtract 40; next, divide by 10

  x = 11

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

- "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."