Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket to ride. How many tickets must be purchased in order for the total cost at carnival M and carnival P to be the same

25 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same .

Step-by-step explanation:

Here we have , Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket to ride. We need to find  How many tickets must be purchased in order for the total cost at carnival M and carnival P to be the same .Let's find out:

Let , Number of tickets for both carnival be x So ,

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides

Equation of cost :

⇒

Carnival P charges an entrance fee of $10.00 and $0.45 per ticket to ride

Equation of cost :

⇒

Now , Number of tickets for which cost is equal is:

⇒

⇒

⇒

⇒

⇒

⇒

Therefore , 25 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same .

25 tickets must be purchased for the total cost at carnival M and carnival P to be the same.

Step-by-step explanation:

It is given that,

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides.

Let us take, the total cost as 'y' and the no.of tickets as 'x'

The total cost at carnival M = Entrance fee + (cost per ticket × no.of tickets).

⇒   -----------(1)

Carnival P charges an entrance fee of $10.00 and $0.45 per ticket to ride.

The total cost at carnival P = Entrance fee + (cost per ticket × no.of tickets).

⇒   --------(2)

The total cost at carnival M and carnival P to be the same :

Comparing equations (1) and (2),

⇒

⇒

⇒

⇒

Therefore, 25 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same.

43

step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0