The smiths are sending out a batch of holiday cards. emily signed 2/5 of the cards then josh signed 1/9 of the remaining cards tatiana singed 20% of what josh had left if there were 75 cards in all how many cards are left

Total 32 card are left.

Step-by-step explanation:

The total number of cards is 75.

It is given that Emily signed    of the total cards.

Remaining part is

It means the remaining cards are of total card.

Remaining cards after emily sign are 45.

Josh signed 1/9 of the remaining cards. The remaining cards are of total 45. So, the number of remaining cards after josh sign is

Remaining cards after josh sign are 40.

Tatiana singed 20% what josh had left. The remaining cards are 80% of total 40.

Therefore total remaining cards are 32.

the answer will be the last one

- "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."