Practical problems and quadratic equations with one variable. Practical problems and quadratic equations with one variable. Practical problems and quadratic equations with one variable. Practical problems and quadratic equations with one variable The output of an electric bicycle factory in March was 1000 units. Due to the increasing market demand, the output in May increased by 1210 units. Then, the average growth rate of the factory in April and may was?

Practical problems and quadratic equations with one variable. Practical problems and quadratic equations with one variable. Practical problems and quadratic equations with one variable. Practical problems and quadratic equations with one variable The output of an electric bicycle factory in March was 1000 units. Due to the increasing market demand, the output in May increased by 1210 units. Then, the average growth rate of the factory in April and may was?

Let the growth rate be X
1000（1+x）²=1210
(1+x)²=1.21
1+x=±1.1
1+x=1.1,1+x=-1.1
x1=0.1,x2=-2.1
Because - 2.1 does not conform to the theme, it is discarded
A: the factory's growth rate was 10% in April and may

Set up equations to solve practical problems (Sixth Grade Volume II, mathematics textbook). Help!
All column equation solutions, attention!
1. A self-employed person pays personal income tax at 5% of last month's turnover, leaving 1900 yuan after tax. How much is his turnover last month?
2. Two fifths of a bag of rice weighs as much as 32 / 100 of a bag of flour. A bag of rice weighs 40 kg. How many kg does a bag of flour weigh?
3. There are 24 boys in class 61 of happy primary school, among which the number of boys is 1 / 5 more than that of girls. How many girls are there?
4. A cylinder and a cone have the same height and the same bottom; the sum of their volumes is 60 cubic decimeters. What are the volumes of the cylinder and the cone?
Thank you for your answer before 7:00 pm on April 20

1. Suppose the turnover of last month is x yuan, the equation is as follows:
(1-5%)x=1900
The solution is: x = 1900 / (1-5%) = 2000 yuan
2. If a bag of flour weighs XKG, the equation is as follows:
2/5×40=32/100×x
The solution is: x = 2 / 5 × 40 × 100 / 32
X = 50 (kg)
3. Suppose the number of women is x, the equation is as follows:
6/5×x=24
The solution is: x = 20 (person)
4. Let the volume of cone be x cubic decimeter
x+3x=60
The solution is: x = 15 (cubic decimeter)
So: the cylinder volume is 45 cubic decimeter, the cone volume is 15 cubic decimeter

A and B both run on the circular road at the same speed. They run in opposite directions. They meet each other every two minutes. They walk in the same direction and meet each other every six minutes. It is known that a runs faster than B. how many laps can a and B run in each minute?

Let a run x laps per minute and B run y laps per minute, then 2x + 2Y = 16x − 6y = 1, and the solution is x = 13y = 16. Answer: a runs 13 laps per minute and B runs 16 laps per minute

Xiao Ming took part in the riddle guessing contest. There were 20 questions in total. It was stipulated that if he guessed correctly, he would get 5 points. If he guessed wrong, he would get 3 points. Xiao Ming got 60 points. How many questions did he guess correctly?

He guessed wrong questions as follows: (100-60) / (5 + 3), = 40 / 8, = 5 (DAO); he guessed right: 20-5 = 15 (DAO); a: he guessed right 15 questions