16) Consider that x and y are positive integers such that 5+ 3y 29. Select the alternative that presents the maximum value of y - x is? a) 5 b) 6) 8) 17) The ratio between Ana's age and Brune's is 3 to 5. If the sum of their ages is 32 years, select the alternative that presents Bruno's age. a) 12 years D) 20 years c) 18 years d) 24 years 18) A postman must deliver packages in two regions. The number of orders for Region A and Region B is in the ratio of 3 to 5. If there are a total of 80 orders to be delivered, select the alternative that presents the quantity destined for Region A. a) 30 orders b) 24 orders c) 36 parcels d) 40 parcels 19) A Post Office truck travels between two cities, maintaining a proportion of 4 hours of travel for every 240 km travelled. If the total distance between the two cities is 360 km, select the alternative that presents the time needed to complete the delivery, maintaining the same proportion. a) 6 hours b) 5 hours c) 7 hours d) 8 hours 20) A Correios delivery company records the monthly profit Z(x) (in thousands of reais) according to the number x of packages delivered in the month. The function that describes this profit is given by L(x)=-2x² + 40x + 150. Select the alternative that presents the number of packages delivered that maximize the profit. a) 25 b) 15 C) 20 d) 10 21) The cost (x) to send a package via the Post Office depends on the number of kilometers x traveled and is given by the linear function c(x) = 2x + 10, where c( x) is the cost in reais and x is the distance covered in kilometers. If the cost to send a package is R$34.00, select the alternative that shows the distance traveled. a) 12 km b) 10 km c) 78 km d) 88 km 22) In a bookstore, 35% of the books are fiction. After a promotion, 20% of fiction books were sold. Knowing that 140 fiction books were sold, the number of books that were in the bookstore before the promotion was Select, the alternative that correctly fills the gap. a) 3000 b) 4000 c) 2000 d) 1000 23) Three postal workers need to equally divide a bonus of R$ 1,200.00 according to the number of deliveries each one made. Postman A made 20 deliveries, postman B made 30 deliveries and postman C made 50 deliveries. Select the alternative that presents the amount that postman B will receive. a) R$ 360.00 b) R$ 300.00 c) R$ 400.00 d) R$ 450.00 24) A box with orders has a volume of 0.75 cubic meters (m³). To store the box in a warehouse that uses a control table measured in liters, it is necessary to convert units. Select the alternative that presents the volume of this box in liters. a) 750,000 liters b) 7500 liters c) 75 liters d) 750 liters 25) A delivery person for an e-commerce company needs to travel a certain route daily. After the first deliveries, he had already covered 2/5 of the route. In the afternoon, he completed another 1/3 of the total route. Knowing that there were still 4.8 km left to finish your journey, select the alternative that presents the total length of the route in kilometers A) 14 Km B) 12 Km C) 16 Km D) 18 Km #gabarito #correios #matematika #ibfc