Darya and Kana are both practicing to swim in a race. During practice, Darya swam 13 laps with
an average time of 23.5 seconds per lap. Kana
swam 10 laps, with an average time of 25.98
seconds per lap. It took longer for Darya to swim
13 laps than for Kana to swim 10 laps.
How much longer?
45.7 s
102.74 s
7.44 5
92.74 5


45.7 s

Step-by-step explanation:

Darya:

Number of laps = 13

Average time per lap = 23.5 seconds

Total time to swim 13 laps = Number of laps × Average time per lap

= 13 × 23.5

= 305.5 seconds

Kana:

Number of laps = 10

Average time per lap = 25.98 seconds

Total time to swim 10 laps = Number of laps × Average time per lap

= 10 × 25.98

= 259.8 seconds

It took longer for Darya to swim

13 laps than for Kana to swim 10 laps.

How much longer?

= 305.5 seconds - 259.8 seconds

= 45.7 seconds

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .