Tina has 15 pets they include birds cats fish and hamsters she has twice as many hamsters as cats and together her pets have a total of 40 legs how many of each kind of pet does tina have what percent of tina pets are cats

First answer

number of cats = 2

number of hamsters = 4

number of birds = 8

number of fishes = 1

Second answer

number of cats = 3

number of hamster = 6

number of  birds   =2

number of fishes =  4

Step-by-step explanation:

Let the number of cats be x . Let number of birds be y and Let number of fishes be z.

number of hamsters = 2 number of cats

                                    =2x

birds +cats + hamsters + fish = 15

 y +x +2x + z  = 15  

y +3x + z =  15

then number of hamsters = 2x

birds has legs = 2

hamster legs = 4

cats legs = 4

total legs  =40

2y+4x+4(2x) =40

2y+12x = 40

y+6x = 20   ,Since x ,y z are natural number   ,since x ,y and z are numbers of pets of each kind which have to be natural number ,therefore

Case 1 for y = 2   x = 3

for y = 8  x = 2

for y = 2 and x =3 ,we have

2+3(3) +z = 15

2+9+z = 15

11 +z = 15

 z = 15 -11 = 4

Case 2

for y= 8 and x=2 ,we have

8 +3(2) + z = 15

8 +6 +z = 15

   z =15-14 = 1

We have two answers for this problem

First answer

number of cats = 2

number of hamsters = 4

number of birds = 8

number of fishes = 1

Second answer

number of cats = 3

number of hamster = 6

number of  birds   =2

number of fishes =  4

For case 1   fish % =   =6.67 %

For case 2  fish =  

e) none of the above because the measure of angle cba is 101°

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.