D = adult
c = child
t = total admission cost
t = 8d + 5c
t = 8(2) + 5(3) = $31
24 hours
Because 24 hours equals 1 day or one rotation of the clock
Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Answer:
12.5%
Step-by-step explanation:
In order to find the percentage the worker spent traveling, we can make us of the following ratio:

where number is how many hours he spent traveling, ammount is the total ammount of hours he reported and percent is the percentage we want to find. So we can solve the ratio for the percent, so we get:

now, we need to find the total amount of hours he spent traveling, this is gotten by adding the provided data:
6hrs+5hrs=11hrs
next we need to find the total amount of hours reported:
42hrs+46hrs=88hrs
so now we can substitute the data the problem provided us with:

which yields:
percent=12.5%