You kayak up a river at a rate of 48 feet every 30 seconds. you kayak 423 feet every 3 minutes on the way back down the river. how much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river?

You kayak 255 feet farther 5 minutes on the way down the river than in 5 minutes on the way up the river

Step-by-step explanation:

Given:

The rate at which you kayak up a river =  48 feet every 30 seconds.

The rate at which you kayak down a river = 423 feet every 3 minutes

To Find:

How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river = ?

Solution:

Let the speed with which you kayak up the river be x and the speed with which you kayak down the river be y

Then  

x =     [ Converting 30 seconds to 0.5 minutes]

x =  96 feet per minute

Similarly

y =

y = 141 feet per minute

Now the distance kayaked  up the river in 5 minutes

=>

=> ( in 5 minutes there are 10  30 minutes)

=>960 feet

Now the distance kayaked down the river in 5 minutes

=>

=> ( in 5 minutes there are 10  30 minutes)

=>705 feet

Thus

960-705 =  255 feet

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;