Payton leaves to go on an 858585 minute bike ride at 3{:}27\text{ p. M.}3:27 p. M.3, colon, 27, start text, space, p, point, m, point, end text Payton's family eats dinner at 5{:}45\text{ p. M.}5:45 p. M.5, colon, 45, start text, space, p, point, m, point, end text How much time will Payton have between finishing her bike ride and eating dinner?

Step-by-step explanation:

Guven:

Time of bike ride = 3:27 PM

Time of dinner = 5:45 PM

Bike ride = 85 minutes

Time that bike ride ended = 3:27 + 85

= 3:27 + 1:25

= 4:52 PM

duration left between after the ride and dinner time = 5:45 - 4:52

= 45 + 8 minutes

= 53 minutes

d

step-by-step explanation:

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."