The ratio of boys to girls in a classroom is 7 to 11. If there are a total of 49 boys in the classroom, then how many boys and girls are there all together?

126 students

Step-by-step explanation:

Boys : Girls

7 : 11

How do you get from 7 to 49?

49 ÷ 7 = 7

Therefore, you should multiply the number of boys by 7.

Multiply:

7 : 11

7 × 7 = 49

49 : 11

Remember that whatever we do to the left, do to the right.

Multiply:

49 : 11

11 × 7 = 77

49 : 77

Now, let's add the number of boys and girls in the class to find the total number of students.

Add:

49 + 77 = 126

Therefore, there are 126 students in all.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."