2. Qingdao produces an average of 800 tons of domestic waste every day, which is treated by Shinan and Licang Waste Treatment Plants. It is known that Shinan Plant can handle 65 tons per hour, which needs 650 yuan, and Licang Plant can handle 50 tons per hour, which needs 505 yuan.
(1) How long will it take for two factories to treat municipal solid waste at the same time?
(2) How many tons of garbage does Nanchang have to deal with every day, if it is stipulated that the daily cost of domestic garbage in the city should not exceed 8,070 yuan?
(1) has a four-digit number, which satisfies the following conditions:
(1) The sum of 2 times the number in a single digit and 2 is less than half the number in a ten digit.
(2) The number in one digit is the same as that in one thousand digits, the number in ten digits is the same as that in one hundred digits, and the new four digits are the same as the original four digits.
③ The sum of one digit and ten digits is 10.
Find this four-digit number
Answer: 199 1
Let one digit be x and the decimal number be y, then 2x+2.
x+y= 10
Then 2 (10-y)+2
So y & gt8.8
(2) It can be known that the unit number is equal to thousands, and the ten digits are equal to hundreds, so the unit number can't be 0, so the number of y = 9 and x = 1 is 199 1.
(2) In order to promote the development of freshwater aquaculture, a certain place controlled the price of freshwater fish between 8 yuan and 14 yuan, and decided to provide government subsidies for freshwater fish. Suppose the market price of freshwater fish is X yuan/kg, and the government subsidy is T yuan/kg. According to the survey, to make the supply and demand of freshwater fish in the daily market completely equal, T and X should satisfy the equation: 100 (X+T).
(3) There is a two-digit number, whose ten digits are greater than the one-digit number 1, and this two-digit number is greater than 30 and less than 42. Find this two-digit number.
(4) A class of students went to study agriculture. When arranging accommodation, they found that if there were 4 people living in each dormitory, then there would be 20 people living in each dormitory. If there are 8 students in each room, one room is not empty and not satisfied. Find the number of classes and dormitory rooms.
1. A mountain school in our city arranged accommodation for some students who are far away from home, and transformed some classrooms into several houses. If there are 5 people in each room, 12 people can't arrange it. If there are 8 people in each room, there are some beds left in one room. How many rooms can the school arrange for students to stay? How many students can you accommodate?
2. A toy factory produces two kinds of toys, A and B. It is known that the toy of A needs 80 grams of metal and 140 grams of plastic, and the toy of B needs 120 grams of metal and 120 grams of plastic. If the factory has 4600 grams of metal and 6440 grams of plastic, it is planned to produce two kinds of toys of A and B with two kinds of materials.
3. At present, it is planned to transport Class A goods 1240 tons and Class B goods 880 tons to a certain place by freight train. It is known that this freight train is hung on 40 trucks of different specifications, and the cost of using A-class cars is 6,000 yuan, and the cost of using B-class cars is 8,000 yuan.
(1) Assuming that the total cost of transporting this batch of goods is 10000 yuan, this freight car has X A-type cars, and the formula of the total cost Y is calculated by trying out the number of car sections X. 。
(2) If each A-type vehicle can armor up to 35 tons of Class A goods and 15 tons of Class B goods, and each B-type vehicle can armor up to 25 tons of Class A goods and 35 tons of Class B goods, what are the plans for arranging vehicles according to this requirement?
4. In order to protect the environment, an enterprise decided to buy 10 sets of sewage treatment equipment. There are two types of equipment, A and B. The price, monthly sewage treatment capacity and annual consumption fee of each equipment are as follows:
Type a and type b
Price (ten thousand yuan/set) 12 10
Sewage treatment capacity (ton/month) 240 200
Annual consumption expense (ten thousand yuan/set) 1 1
According to the budget, the funds used by enterprises to purchase equipment are not higher than 6.5438+0.05 million yuan.
(1) Please design several purchasing schemes for this enterprise;
(2) If the amount of sewage produced by an enterprise is 2,040 tons per month, which procurement scheme should be chosen to save money;
(3) Under the condition of (2), if the service life of each equipment is 10 year, and the sewage treatment fee of the sewage plant is per ton 10 yuan, please calculate how much ten thousand yuan the enterprise will save by treating the sewage by itself compared with discharging the sewage to the sewage plant. (Note: Enterprise sewage treatment expenses include equipment purchase expenses and consumption expenses)
A factory plans to produce a new product in 2004. The following information was provided at the end of 2003. Personnel Department: There will be no more than 800 production workers next year, and each person can provide 2,400 working hours every year; Marketing Department: It is estimated that the sales volume of this product will be 10000 ~ 12000 pieces next year; Technology Department: This product needs 1.20 man-hours on average, and each product needs 4 main parts; Supply Department: In 2003, there were 6,000 main components in low inventory. It is estimated that 60,000 major components will be purchased next year. According to the above information, how many products can you produce at most next year?
6. There are five fewer rooms on the first floor of the hotel than on the second floor, and there are 48 people in a tour group. If everyone lives on the ground floor, there are four people in each room, and the room is not enough; There are five people in each room, but there are some rooms where five people are not satisfied. If all are arranged on the second floor, there are 3 people in each room, and the room is not enough; There are four people in each room, but the room is not full. How many rooms are there on the first floor of this hotel?
7. (Meishan City, 2007) In response to the call of "building an environment-friendly and energy-saving society", a county decided to subsidize some towns and villages to build a number of biogas digesters, so that farmers can use economic and environmental protection biogas energy. There are 264 villagers in Happiness Village, and the government subsidizes 340,000 yuan in the village. The insufficient part is raised by the villagers. Construction of 20 Type A and Type B biogas digesters. The construction cost of the two types of biogas digesters will be * * * respectively.
Construction cost of biogas digester (10,000 yuan/set) Available households (household/set) Covered area (square meter/set)
Type a 3 20 48
Type b 2 3 6
Relevant government departments have approved 708 square meters of land in the village for biogas digesters. The cost of building X type A biogas digesters and two type A biogas digesters is10,000 yuan. (1) Y is represented by an algebraic expression containing x;
(2) There are several construction schemes, which do not exceed the land area granted by the government, and build biogas digesters so that every villager in the village can use biogas;
(3) If every villager raises funds from 700 yuan on average, can the construction scheme with the lowest cost be satisfied?
8. (Changzhou City, 2007) The school held the knowledge contest "Welcome to the Olympics", and won the first, second and third prizes *** 12. The prize distribution scheme is as follows:
First prize, second prize, third prize
1 Boxfuwa 1 badge 1 Boxfuwa 1 badge
The total cost of purchasing prizes is not less than 1000 yuan, but not more than 1 100 yuan. Before buying Fuwa and stamps, Xiao Ming learned the following information:
(1) How much is a box of Fuwa plus badges?
(2) If there are two first prizes in this activity, how many second prizes and third prizes should there be?