the circus admits children for $2 each and adults for $5 each. how many of each ticket were sold if 160 tickets were sold for $476

Children = 108

Adult = 52

Step-by-step explanation:

Let x = number of children

Let y = number of adult

Based on the information given, we can form an equation which will be:

x + y = 160 i

2x + 5y = 476 ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 320 iii

2x + 5y = 476 iv

Subtract iii from iv

3y = 156

y = 52

Number of adults = 52

Since x + y = 160

x + 52 =160

x = 160 - 52

x = 108

Number of children = 108

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."

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.