An animal shelter spends $4.50 per day to care for each bird and $5.50 per day to care for each cat. nathaniel noticed that the shelter spent $142.50 caring for birds and cats on thursday. nathaniel found a record showing that there were a total of 27 birds and cats on thursday. how many birds were at the shelter on thursday?

The number of birds are 6 and number of cats are 21 at the shelter on Thursday .

Step-by-step explanation:

Let us assume that the number of bird be x .

Let us assume that the num ber of cat be y .

As given

An animal shelter spends $4.50 per day to care for each bird and $5.50 per day to care for each cat. Nathaniel noticed that the shelter spent $142.50 caring for birds and cats on Thursday.

4.50x + 5.50y = 142.50

Simplify the above

450x + 550y = 14250

As given

Nathaniel found a record showing that there were a total of 27 birds and cats on Thursday.

x + y = 27

Two equations are

450x + 550y = 14250

x + y = 27

Multiply x + y = 27 by 450 and subtracted from 450x + 550y = 14250 .

450x - 450x + 550y - 450y = 14250 - 12150

100y = 2100

y = 21

Putting  the value of  y in the equation x + y = 27 .

x + 21 = 27

x = 27 - 21

x = 6

Therefore the number of birds are 6 and number of cats are 21 at the shelter on Thursday .

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!