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Practical problems in Mathematics 1. Among the seven numbers 12, 27, 45, 81, 123, 162, 180, what are the numbers divisible by 9? Please summarize the characteristics of the numbers divisible by 9 2. The number of participants in a middle school's Lane game during the summer vacation, no matter 5, 6 or 7 people are shooting a line, is just arranged in the whole line. How many people are there at least? If the number of participants is between 400 and 700, how many people are there? 4. As shown in the figure, there is a column of positive integers, and the sum of any three connected numbers is 15 (1) Please fill in all the blanks in this column; (2) Please indicate what numbers x, y and Z represent; (3) What are the numbers that can be divided by 3 and 5 at the same time in the two digit and three digit numbers composed of X, y and Z? ┌—┬X┬ 4┬—┬—┬—┬ y┬ 5┬z┬6┬—┬—┬—┐ └—┴—┴—┴—┴—┴—┴—┴—┴—┴—┴—┴—┴—┘ There are 13 squares in question 4
The result is 27, 81, 162, 1802. The first step is to calculate the smallest common multiple of 567 (210), and then find out the appropriate multiple (such as 210, 420, etc.), the result is 630 or 4204,1) ┌ 11-x ┬ x ┬ 4 ┬ 11-x ┬ x ┬ 4
Mathematical application problems, give detailed steps and necessary instructions. Thank you. The topics are as follows
There are two kinds of activities for students of class 1 of grade 3 in a middle school to go on a spring outing in the scenic spot: boating and pleasure boat. Each boat of type a can only sit 4 people at most, and each boat of type B can only sit 5 people at most. It is known that the number of students of class 1 of grade 3 is a multiple of 5. If only renting type a boats, there are no less than 12; if only renting type B boats, there are no more than 9
(1) Find the number of students in class 1 of grade 3 of junior high school;
(2) If the rental of a ship is 10 yuan per ship and that of B ship is 12 yuan per ship, how to charter a ship to make every ship full and how much is the rental? Explain the reason
Suppose that the number of students in class 1 of grade 3 is 5x, then: 5x ≥ 12 × 45x ≤ 9 × 6. The solution is: 48 / 5 ≤ x ≤ 54 / 5 ∵ x is an integer ∵ x = 10 ∵ 5x = 50 ∵ the number of students in class 1 of grade 3 is 50. Suppose that the rent is w yuan, X ships of Grade A and Y ships of grade B are rented, then 4x + 6y = 50
RELATED INFORMATIONS
- 1. The problem of profit The price of a certain type of TV set in the shop is 1200 yuan, which can make a profit of 20%. Now a unit has bought several sets of this type of TV set at the total price of 11500 yuan, so the shop still has 15% profit. How many TV sets has the unit bought?
- 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. In actual sales, at the request of customers, the two pieces of clothing are sold at a 10% discount. In this way, the store makes a total profit of 157 yuan. How much is the cost of the two pieces of clothing?
- 3. Put 1.5g impure sodium sulfate (impurities are insoluble in water) into 85.8g water to make a solution. After filtration, add appropriate barium chloride solution to the filtrate to completely reflect and generate 2.33g white solution. Calculate the mass of sodium sulfate in the original mixture
- 4. Mathematics problem: super difficult! Please help! Urgent! Urgent! Urgent! A cuboid is 5cm in length and 3cm in width. If it is rotated around the length of the rectangle, a cylinder will be obtained. What is the surface area of the cylinder? If it is rotated around the width of the rectangle, a cylinder will also be obtained. What is the volume of the cylinder? (formula calculation)
- 5. The annual interest rate of the bank's two-year deposit is 3.85%. After Aunt Liu deposited some money in May 2004, she withdrew a total of 21232 yuan of principal and after tax interest two years later. What is the principal deposited by Aunt Liu? (the interest rate is 20%) Help to list the formula, or you can't understand it. Thank you
- 6. It is known that a and B start from two places respectively. It takes 10 hours for a to walk completely, and it takes 6 hours for B to finish the whole journey. When the two meet for the first time, according to the midpoint of 120 meters, the distance between a and B is calculated? You can't use equations,
- 7. Ask everybody a mathematics application problem, come person, thief Oxygen 21%, nitrogen 78%, others 1%, write their comparison and simplification
- 8. 1/2+1/6+1/12+1/20+1/30+1/42+1/56=? 5/（1+6）+5/（6+11）+5/（11+16）+…… +5/（76+81）=? （1+2+3+4+5+6+7+6+5+4+3+2+1）/（777777*777777）=? Published by Yanbian Education Press this year, on page 27 I am in college, this kind of problem should have been done in high school, but I forgot it early, it really affects the image of college students in the little cousin's heart!
- 9. A practical problem in children's summer homework There are 45 students in a class. Each of them has taken part in one or two of the writing class and the painting class. It is known that there are 25 students in the writing class and 25 students in the painting class. How many of them have taken part in both?
- 10. 1. The greatest common divisor of the following groups is determined by the method of factorization 48 and 54 32 and 96 120, 180 and 210 2. The multiple of M is----- The multiple of 5m is---- The common multiple of M and 5m is---- The least common multiple of M and 5m is---- 3. There is a box full of 50 cents coins. If 20, 25 or 30 coins can be divided in a pile, how many yuan does the box have at least? 4. The length is 36 cm, the width is 24 cm rectangle, if wants to divide into the area equal small square 1. How long is the longest side of such a square? 2. What is the maximum area of such a square? 3. How many squares can be divided into?
- 11. I want to ask a question There are 75 households in building 5, with two rooms and one living room and three rooms and two living rooms. The number of two rooms and one living room is twice that of three rooms and two living rooms. How many households are there in these two kinds of rooms?
- 12. The sixth grade donated 460 yuan, 14 yuan less than three times of the third grade. How much for the third grade
- 13. x/5 + 2x/3 = 39
- 14. If we know that the trilateral length of △ ABC is a = 3, B = 5, C = 67, then the area of △ ABC is That's wrong. C = 7
- 15. 1: 1.25 × (- 81 / 20) × (- 8) 2: (- 9) × (- 5 / 4) × (- 0.8) × 1 / 3 3: (- 3 / 4) × (- 8 + 10 / 3-1 / 2) 4: 3 / 4 × (- 9) + 3 / 4 × (- 15)
- 16. I'll be on the first day of junior high school next term. I'm not good at math,
- 17. The distance between a and B is 400 kilometers. A car drives from a to B for 300 kilometers in 4 hours. At this speed, how many hours will it take to finish the journey
- 18. It is known that the side length of the equilateral triangle ABC is 4, and point D is a moving point (not coincident with points B and C) on the side BC. It connects AD and makes the vertical bisector of AD and intersects with the sides AB and AC at points E and f respectively, Find the sum of the perimeter of triangle BDE and triangle DCF; Let the length of BD be x, and use the algebraic expression of X to express the perimeter of BDE and CDF;
- 19. According to the state regulations, the tax calculation method for individual publishing articles and books is as follows: 1. No tax shall be paid if the contribution fee is not higher than 800 yuan; 2. 14% of the contribution fee exceeding 800 yuan shall be paid if the contribution fee is higher than 800 yuan but not higher than 4000 yuan; 3. 11% of the whole contribution fee shall be paid if the contribution fee is higher than 4000 yuan; if someone has paid 420 yuan of tax in a lump sum, the tax shall be paid, How much is this person's contribution fee? If paid 770 yuan tax? It's a linear equation with one variable
- 20. Judgment: After 75% of 1.1 meter cloth is used, 25% of the cloth is left choice: 1. Add 5g sugar and 100g water to the water containing 5% sugar, and the sugar content of the water is () A. Constant B. above 5% C. below 5% Fill in the blanks: 1. A cuboid shaped wood strip can be sawn into seven cube blocks, and the sum of the surface area of all cube blocks is increased by ()%