There are 10 kids that want ice cream. Each one can choose between chocolate, vanilla or strawberry. You'll collect their choices and make one order, something like: 5 chocolate, 3 vanilla and 2 strawberry. How many possible orders can you make

There are 30 possible orders that can be made.

Step-by-step explanation:

Given : Number of kids that want ice cream= 10

Choices for flavors : chocolate, vanilla or strawberry.

i.e. Number of choices for flavors = 3

Then by Fundamental principle of counting , the number of possible orders can be =(Number of kids ) x (Choices for flavors)

Therefore , the total number of possible orders that can be made = 30.

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."

320ft

step-by-step explanation:

120 divided by 3 equals 40

40 times 4=160

160 times 2=320