The ratio of the number of boys to the number of girls at a school is 4: 5. if there are 120 boys, how many students are there altogether?

a.) 53
b.) 96
c.) 150
d.) 270

270 students

Step-by-step explanation:

There are more boys than girls, as the ratio of boys to girls is 4:5.

Write and solve an equation of ratios:

   4           5

=

 120          g

... where g is the number of girls.  Cross multiplying, we get:

4g = 600, so that g must be 150.

120 boys plus 150 girls comes to 270 students (Answer d)

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."