Pls answer this math question. In a given class 12 students have cats, 15 have dogs, and 6have both. There are nine students with no cat or dog. How many students are in the class? PLS ANSWER THE SAME QUESTION FOR 16 CAT STUDENTS, 10 DOG STUDENTS, 3 THAT HAVE BOTH, AND 12 STUDENTS HAVE NONE.

1st question is 42 students in the class.       2nd question is 41.

Do tell me if I'm wrong please

Step-by-step explanation:

15 + 12 + 9 + 6

   27 + 9 + 6

   27 + 15 = 42

16 + 10 + 3 + 12

  26 + 15

      41

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.