An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. Joshua noticed that the shelter spent $173.50 caring for birds and cats on Tuesday. Joshua found a record showing that there were a total of 27 birds and cats on Tuesday. How many birds were at the shelter on Tuesday?

76 birds hope this helps

Step-by-step explanation:

Let x = the number of birds

Let y = the number of cats

x + y = 35       y = 35 - x

4.50x + 8.50y = 221.50       Multiply the whole equation by 100.

450x + 850y = 22150

450x + 850(35 - x) = 22150

450x + 29750 - 850x = 22150

-100x = -7600

x = 76 birds

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week