A concert venue has 20 seats in the first row and an 5 additional seats in each successive row. If there are 35 rows of seats then how many people can attend a sold-out show? 3,675 190 2,100

3,675 people

Step-by-step explanation:

First row, a = 20

Common difference, d = 5

number of terms, n = 35

Sn = n/2 {2a + (n - 1)d}

= 35/2 {2*20 + (35 - 1)5}

= 35/2 {40 + ( 34)5}

= 17.5(40 + 170)

= 17.5(210)

= 3,675 people

- "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."

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: