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In order to attract tourists, a water park decided to carry out discount activities during the Dragon Boat Festival. The ticket price is divided into group tickets and retail tickets. Group tickets account for 2 / 3 of the total tickets. If you buy tickets in advance, you will be given different degrees of discount. In May, group tickets are 12 yuan each, 3 / 5 of group tickets are sold, and retail tickets are 16 yuan each, half of retail tickets are sold, Group tickets are sold at 16 yuan each, and all the remaining tickets are planned to be sold in June. How much should retail tickets cost to make the two months' income the same? Requirements: equation,
If the total number of tickets is 3x, and the retail ticket set in June is y yuan, then there are 2x group tickets and X retail tickets. In May, the total value of group tickets sold is 3 / 5 * 2x * 12 yuan, and the remaining (1-3 / 5) * 2x tickets are 1 / 2 * x * 16 yuan. The remaining 1 / 2 * x tickets have the same income in February, so there are 3 / 5 * 2x * 12 + 1 / 2 * x * 16
1. A clothing store sells a kind of discount shopping card. After you buy this card for 200 yuan, you can make a 20% discount in this store with the card. Under what circumstances is it cost-effective to buy a card?
2. It takes 20 seconds for a train to run at a constant speed through a 300 meter long tunnel. There is a lamp on the top of the tunnel, which lights down vertically. The time that the lamp shines on the train is 10 seconds. According to the above data, can we find out the length of the train? If so, how much? If not, please explain the reason
1. If you give a 20% discount every time after you buy the card, you should ensure that the cumulative amount of shopping in this store can reach more than 1000 yuan. (1000 * 0.8 + 200 = 1000). Otherwise, you will suffer a loss. By the way, if you are tied to this store for a long time for this card, you must first determine whether you often shop in this store
Solving two math problems in grade one of junior high school
1. The absolute value of X is 2,
Find x ^ 2 - (a + B + CD) x + (a + b) ^ 2004 + (- CD) ^ 2003
2. Given | A-1 | + (B + 2) ^ 2 = 0, find the value of (a + b) ^ 1001
1. When a + B = 0cd = 1 | x | = 2, x = 2 or - 2x ^ 2 - (a + B + CD) x + (a + b) ^ 2004 + (- CD) ^ 2003 = 2 ^ 2 - (0 + 1) x + 0 + (- 1) ^ 2003 = 4-x-2003 = - x-1999x = 1, when the above formula = - 2000x = - 1, the above formula = - 19982, known | A-1 | + (B + 2) ^ 2 = 0
How many tons is a cubic meter in a unit converter
Because P = m / V, M = PV. For example: m water = P water V water = 1 * 10 (3) * 1 = 1000kg = 1t. Note: 10 (3) is the third power of 10. So one cubic meter of water is equal to one ton
The fruit shop has 480 kg of fruit, of which 3 / 8 are apples. How many kg are apples? 5 / 6 of all apples sold in three days, how many kg are apples sold?
If you want to do it separately, you must do it. If you don't take the best answer, you must do it tomorrow
Apple: 480 * 3 / 8 = 180 (kg)
Apple sold in three days: 180 * 5 / 6 = 150 (kg)
X plus a quarter, x equals half, find X
X plus a quarter x equals half, that is, (5 / 4) x = 1 / 2, x = 2 / 5
Who can change the following sentences into plural?
Change the following sentences into plural
1、What colour is it?What colour ____ ____ ?
2、It is a toy car.________ are toy________ .
3、This hat is green and pink.These_____ _____ green and pink.4、What colour is your jacket?What colour______ your______ ?5、It’s an orange dress.
_______ are orange______ .
1. what colour are they?
2. they are toy cars.
3. these hats are green and pink.
4. what colour are your jackets?
5. they are orange dresses.
There are 223 people visiting the science and Technology Museum. There are 35 people in the big car, 650 yuan per car, and 20 people in the small car, 450 yuan per car. How to rent a car reasonably
By bus
The square difference of the two natural numbers is 2012. Find the sum of the two natural numbers
Let a B A & # 178; - B & # 178; = (a + b) (a-b) = 2012 = 2 * 2 * 503
It seems that 503 is prime. And a + B = A-B + 2B, so the parity of a + B and A-B is the same
All are even numbers
So a + B = 2 * 503 = 1006
a-b=2
2[Cn0＋2Cn1＋3Cn2＋… ＋(n+1)Cnn] ＝(n＋2)(Cn0＋Cn1＋… CNN) how did you get here
Cn0+2Cn1+3Cn2+… +(n+1)Cnn=2n+n2n-1
If CNI = CN (n-i), then the left side of the original equation is CN + 2cn (n-1) + 3CN (n-2) + The sum of the two formulas is 2 [cN0 + 2cn1 + 3cn2 + ＋(n+1)Cnn]＝(n＋2)(Cn0＋Cn1＋… CNN) = (n + 2) 2 ^ n, that is cN0 + 2cn1 + 3cn2 + ＋(n+1)Cnn＝(n＋2)2^(n－1)＝2^n＋n2^(n－1)
Cn0+2Cn1+3Cn2+… +(n+1)Cnn.(1)
It is known that CNI = CN (n-i) (properties of combinatorial numbers, normal number of selection = residual normal number)
That is, C (n, 0) = C (n, n), C (n, 1) = C (n, n-1)
be
Cnn＋2Cn(n-1)＋3Cn(n-2)＋… ＋(n+1)Cn0
That is, (n + 1) cN0 + ncn1 + (n-1) cn2 + +Cnn .(2_
(1) + (2) get
2[Cn0＋2Cn1＋3Cn2＋… ＋(n+1)Cnn]
＝(n＋2)(Cn0＋Cn1＋… Cnn)
＝(n＋2)2^n
Namely
Cn0＋2Cn1＋3Cn2＋… ＋(n+1)Cnn
＝(n＋2)2^(n－1)
＝2^n＋n2^(n－1)
RELATED INFORMATIONS
- 1. Question 7 on page 102 of the first volume of Mathematics
- 2. People's education press first day mathematics volume II exercise 8.4 on page 114
- 3. It's easy for you ① The purchase price of a certain T-shirt is 400 yuan, and the price is 600 yuan when it is sold. Due to the change of season, the store is ready to sell it at a discount, but how much discount is it to keep the profit no less than 5%? ② The total cost of two pieces of clothing is 500 yuan. In order to make a profit, the store owner decides to price the clothing at 50% of the profit and the clothing at 40% of the profit. When the clothing is actually sold, at the customer's request, the two pieces of clothing are sold at a 10% discount. In this way, the store owner makes a total profit of 157 yuan. How much is the cost of the two pieces of clothing
- 4. A passenger car and a freight car are running in the same direction on the parallel track. The passenger car is behind the freight car. The length of the passenger car is 200 meters and the length of the freight car is 280 meters. The ratio of the speed of the passenger car and the speed of the freight car is 5:3. The crossing time for the passenger car to catch up with the freight car is 1 minute. The speed of each car is calculated. If the two cars are running in opposite directions, what is their crossing time?
- 5. Xiao Li goes from place a to place B by bike, and Xiao Ming goes from place B to place a by bike. They both go at a constant speed. It is known that they set out at 8 am at the same time. By 10 am, they are 36 km apart. By 12 noon, they are 36 km apart. The distance between a and B is calculated
- 6. On the freeway, if a car with a length of 4 meters and a speed of 110 km / h is ready to overtake a truck with a length of 12 meters and a speed of 100 km / h, it will take about () A. 1.6 seconds B. 4.32 seconds C. 5.76 seconds D. 345.6 seconds
- 7. solve equations, Party A and Party B set out from a and B at the same time and walked towards each other. Three hours later, they met on the way. It is known that the distance between a and B is 24km, and the speed ratio of Party A and Party B is 2:3. How many km do they travel per hour?
- 8. 11x+3z=9 2x+2y+z=8 2x-6y+4z=5 The linear equation of three variables
- 9. 2、 Calculate the following questions ① (- 5) / (- 6) / (- 6 / 5) ② - 48 △ 36 × (- 1 / 9) ③ - 7 △ (35 + 7 / 9) ④ 2 / 3 × 1.43-0.57 × (- 2 / 3) ⑤-15×12÷6×5
- 10. The existing alloy of a and B metals is 10kg. If a few kilos of a metal are added, then B metal accounts for two parts and a metal accounts for three parts in this alloy. If a metal is doubled, then B metal accounts for three parts and a metal accounts for seven parts in this alloy. How much a metal is added for the first time? What is the percentage of a metal in this alloy?
- 11. 1、 Eight numbers are arranged in a row, two adjacent numbers are required to be mutually prime 2、 For an Expo project, Party A and Party B can cooperate for seven months to complete. After five months of cooperation, all members of team a and the number of team B will adjust to do other work, and the rest will finish the project in six months. If the project is completed by Party A and Party B alone, it will take two months for Party A and two months for Party B (the result can be a decimal) 3、 As shown in the figure below on the left, the areas of RABC, refg and quadrilateral ACEG are equal, with AE / / Gd, BC: EC = 3:1
- 12. When using A4 paper to copy a document in a transcription agency, if the number of pages is less than 20, the charge for each page is 0.12 yuan. When the number of pages is more than 20, the charge for each page is reduced to 0.09 yuan. When copying the same document in a library, no matter how many pages are copied, the charge for each page is 0.1 yuan, and the charge for each page is 0.1 yuan?
- 13. Xiao Wang bought 18 boxes of milk of a certain brand with a few yuan in the supermarket. After a while, he went to the supermarket and found that this kind of milk was sold at a reduced price of 0.4 yuan per box. He bought 2 more boxes with the same money than last time. How much yuan per box before the price reduction?
- 14. ｜1/2001-1/2000｜+｜1/2000-1/1999｜-｜1/1999-1/2001｜=? 1/2+1/4+1/8+...+1/256+1/512+1/1024=? 1+2+3+...+1997+1998+1999=?
- 15. 1. A car drives from a to B. the first 3 / 1 section is an ordinary highway, and the other sections are expressways. It is known that the speed of the car on the ordinary highway is 60km / h, and the speed on the expressway is 100km / h. The car has driven from a to B for a total of 2.2h, This paper presents a problem solved by a system of linear equations of two variables, 2. From a to B, you need to go downhill first; if you go through the level road at the speed of 15 km / h, you can get to B for 1 hour and 6 minutes; if you come back, you need to go through the level road at the speed of 12 km / h, and then go up the slope at the speed of 8 km / h. If you go back to a for 1 hour and 30 minutes, how many kilometers are there between a and B? 3. Party A and Party B both run on the circular road at the same speed. If they start from the same place and walk in opposite directions at the same time, they meet every two minutes; if they walk in the same direction, they meet every six minutes. It is known that Party A runs faster than Party B, how many laps do Party A and Party B run in each minute?
- 16. A rectangular piece of paper is 25 cm long and 20 cm wide. Cut the largest circle on this piece of paper. After cutting the circle, what is the remaining area?
- 17. Master Wang and master Li donated 200000 yuan in total, and Master Wang donated 3 / 4 more
- 18. Uncle Zhang and Aunt Li donated 1800 yuan to the Sichuan disaster area on average. The ratio of Uncle Zhang and Aunt Li's donation is 8:7. How much yuan can Aunt Li donate? Do you have a higher IQ than the sixth grade students```
- 19. Mr. Li bought 20 watercolor pens and pens at a total cost of 100 yuan, 3.5 yuan for each watercolor pen and 5.5 yuan for each pen How many watercolor pens and pens do you have? Arithmetic (hypothesis)
- 20. Chen, Li and Wang teach Chinese, mathematics, ideological and moral education, physical education, music and fine arts in class 51. They teach two courses each Now we know: Sipin teacher and math teacher are neighbors; Mr. Li is the youngest; Mr. Chen likes to talk with PE teacher and math teacher; PE teachers are older than Chinese teachers; Miss Li, music teacher and Chinese teacher often go swimming together Can you analyze which two courses each teacher teaches?