An animal shelter spends $3.00 per day for each cat and $5.50 per day for each dog. nick noticed that the shelter spent $164.50 caring for cats and dogs on wednesday. nick found a record showing that there were a total of 34 cats and dogs on wednesday. how many cats were at the shelter on wednesday?

There were 9 cats at the shelter on Wednesday.

Step-by-step explanation:

Given:

An animal shelter spends $3.00 per day for each cat and $5.50 per day for each dog.

Nick noticed that the shelter spent $164.50 caring for cats and dogs on Wednesday.

Nick found a record showing that there were a total of 34 cats and dogs on Wednesday.

Now, to find the number of cats at the shelter on Wednesday.

Let the number of cats be .

And let the number of  dogs be .

So, total number of dogs:

......( 1 )

As given animal shelter spends $3.00 per day for each cat and $5.50 per day for each dog.

Now, total money animal shelter spent on Wednesday:

Putting the value of equation ( 1 ) in the place of :

⇒

⇒

⇒

Adding on both the sides we get:

⇒

Subtracting 164.50 on both sides we get:

⇒

Dividing by 2.50 on both sides we get:

⇒

⇒

The number of cats = 9.

Therefore, there were 9 cats at the shelter on Wednesday.

41*67/2=1373.5

step-by-step explanation:

i just used a calculator

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497