2. The school PTA is sponsoring a dance. They decide to price student tickets at $6.00. It will cost the PTA $250.00 to put on the dance. How many tickets will the PTA need to sell in order to make a profit?

42 tickets.

Step-by-step explanation:

To make a profit, the PTA will need to earn at least $251, because it spent $250 on the dance. so we can divide 251/6 = 41 remainder 5, which means we need to sell 42 tickets.

The PTA must sell 42 tickets to make a profit.

Step-by-step explanation:

To solve this problem, we will have to construct an inequality in which $250 is less than our solution.

Let = student tickets

Since each student ticket is priced at $6.00, the money raised by the student tickets can be represented by the expression:

Since it will cost the PTA $250.00 for the dance, the profit will have to be equal to anything greater than $250.00.

Set up your inequality:

Divide both sides of the inequality by the coefficient of , which is :

As you can see, we are left with a decimal, but we will have to round to the nearest whole number as the tickets can only be represented as whole numbers:

Therefore, the PTA must sell 42 tickets in order to make a profit.

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You can check your work by substituting the solved value for the tickets into the inequality:

And since $252 is greater than $250 (represents a $2 profit), our solution is correct.

c > -10.55

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.