An animal shelter spends $3.00 per day to care for each cat and $6.50 per day to care for each dog. amelia noticed that the shelter spent $84.00 caring for cats and dogs on friday. amelia found a record showing that there were a total of 21 cats and dogs on friday. how many cats were at the shelter on friday?

There were 15 cats at the shelter on Friday.

Step-by-step explanation:

Cost of caring each cat = $3.00

Cost for caring each dog = $6.50

Total money spent by shelter = $84.00

Total Cats and Dogs in the shelter = 21

Let the number of cats in the shelter = k

So, the number of dogs in shelter =  21 -k

Also according to the question:

Total expenditure on cats + total expenditure on dogs = $84.00

or, k ($3.00) + (21-k)($6.50)  = $84.00

or, 3k + 136.5 - 6.5 k = 84

or, -3.5 k = 84 - 136.5 = -52.5

⇒3.5 k = 52.5  or k = 52.5/3.5 = 15

⇒  k = 15

Hence, the number of cats in the shelter was 15 on Friday.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation: