Pauline has a roll of quarters ($10) to spend at the arcade. She wants to go to an arcade that has all three of her favorite games: Pac-Man, Defender, and Frogger. Of the 15 arcades in her town, 10 have Pac-Man, 7 have Defender, 4 have Frogger, 3 have both Pac-Man and Defender, 2 have both Pac-Man and Frogger, and 2 have both Defender and Frogger. Each arcade has at least one of the games. How many arcades, if any, have all three games?

A tobacco shop blends Cuban, American and Columbian tobaccos into three aromatic house mixtures. A packet of Ruff has 6 ounces Cuban, 4 ounce American, and 14 ounces Columbian; Buff has 3 ounces Cuban, 1 ounce American, and 2 ounces Columbian; Tuff has 4 ounces Cuban, 2 ounces American, and 8 ounces Columbian. If Ruff sells for $8.00, Buff for $10.00 and Tuff for $16.00 per packet and if there are 32 ounces of Cuban, 10 ounces of American, and 72 ounces of Columbian on hand. Find the amount of Ruff, Buff and Tuff that should be blended to maximize profit from the tobacco on hand. Set up to solve this problem by:a) Defining all variables usedb) Stating the objective and listing the objective function.c) Stating ALL the constraints.

The airport sells thirty-five different kinds of cookies. Twenty of these kinds can be purchased only as small cookies and the other fifteen kinds can be purchased only as large cookies. The small cookies cost $3 each and the large cookies cost $4 each. While waiting for her flight, Ingrid decides to order exactly $30 worth of cookies, with each cookie she orders being a different kind. How many different orders can she make? OA. 3 2 ○& (90)+60 +60 O B. 10 4 15 20 OC. (20) (15) + (20) (¹5) + (²2) (¹³) 3 35 OD. (10025) + (6 3526) + (2 827) O E. 20¹0 150 + 206 15³ +20²156

The Jets play 16 football games this season. So far they have 3 wins and 4 losses. If they can win all the rest, how many wins and losses will they have for the season

a theatre has 800 seats, divided into orchestra, main and balcony. Orchestra seats sell for $40, main fo $30 and balcony for $2.  If all the seats are sold revenue to the hteatre s $23,200.  If all the main and balcony seats are sold but only half the orchestra seats are sold, the gross revenue os $20,000.  How many are there of each kind of seat?

Penny and Nicholas each collected baseball cards. Nicholas wanted his collection to be larger than Penny’s. So, Nicholas made sure that he always had seven more cards in his collection than Penny had in her baseball card collection. Find out how many cards Nicholas would have if penny had 2 cards, 5 cards, 8 cards, 11 cards in her collection. Create a table to show how many cards penny has in her collection, if Nicholas has: 10 cards, 15 cards, 22 cards, 41 cards. Predict how many cards Nicholas would have if Penny had 417 baseball cards. Explain your thinking in words and in algebraic symbols. Predict how many cards penny would have if Nicholas had 1,000 baseball cards. Explain your thinking in words and in algebraic symbols. Write algebraic equation in two different ways. Graph first five points on your graph sheet if penny has 2, 5, 8, 11, and 14

If you add the age of six people (Alice, Barb, Carol, Dean, Eric, and Fred), the total is 92. Alice is twice the age of Carol. The total age of Barb and Eric equals that of Fred. The total age of Alice and Carol equals the total age of Barb and Fred. Carol is 8 years younger than Fred. If you subtract the age of Eric and Carol from Dean the result is 10. What is the age of each person?

A group of three friends have 3 different jobs. Mallory(m) makes $9 an hour at Kroger, Chandler(c) makes $11 at HEB, and Sophia(s) makes $8 at Cinemark. All together they worked a total of 40 hours and earned $370. Mallory worked twice as many hours as Chandler. How many hours did each friend work?