When cedric walked into a party, two-thirds of those invited had already arrived. six more people arrived just after cedric, bringing the number at the party to $\frac{5}{6}$ of those invited. what was the total number of invited guests?

Hence, there are 36 total number of invited guests.

Step-by-step explanation:

Let the total number of invited guests be 'x'

Part of those invited had already arrived =

Number of people just arrived = 6

According to question, it brings the number at the party to of those invited.

So, it becomes,

Hence, there are 36 total number of invited guests.

the answer is c. 23/3

- "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."