A meseum calculates the rate for groups by charging $4 per person along with a one-time $8 fee. If the cost for a group is $60,how many people are in the group?

13 persons

Step-by-step explanation:

The Museum Collects a One Time fee of $8 and $4 per person in the group.

Let the number of persons in the group=x

The total Cost for a group= $(8+4x)

If the cost for a group is $60, we want to determine x.

$(8+4x)=$60

8+4x=60

4x=60-8

4x=52

Divide both sides by 4

x=13

There are 13 persons in the group.

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."