So 2-m=0
m=2
The equation is 6x- 1=0.
x= 1/6
2. Let the mule be X, because the mule gives the donkey a bag and equals the donkey, so the donkey is x+ 1+ 1=x+2.
(x+2+ 1)/(x- 1)=2
x=5
Five pounds for mules and seven pounds for donkeys.
Someone rides a bike from place A to place B at a speed of 8 kilometers per hour. When I came back, I walked 3 kilometers more because of the detour. Although he changed the speed to 9 kilometers per hour, it still took 1 minute more than when he went. What's the round trip distance?
Method 1: s/8+7.5/60=(s+3)/9,
S= 15, trip 15, return trip 18.
Method 2: 7 1/2 1 minute is 1/8 hours.
Solution: Let the distance from A to B be X.
(x+3)/9- 1/8=x/8
x= 15
Return trip 18km.
Xiao Ming and Xiao Hong set out from the east and west at the same time, facing each other. Distance between the two places 100 km. Xiaoming walks 6 kilometers per hour and Xiaohong walks 4 kilometers per hour. Xiaoming set off with a puppy. The dog ran to Xiaohong at the speed of 10 km per hour. After meeting Xiaohong, he immediately ran back to Xiaoming. After meeting Xiaoming, he ran back to Xiaohong. The dog didn't stop until they met. How many kilometers did the dog run?
Suppose Xiaohong and Xiaoming meet after x hours, that is, the puppy runs for x hours.
Judging from the meaning of the question:
(6+4)x= 100
Solution: x = 10
So the running distance of the puppy * * is:10×10 =100km.
One-dimensional linear equation topic 0 points
Answer: 2 Browse: 734 Question Time: 2007- 12- 16 20:06.
A and B are running on a 400-meter-long circular track. They both start at the same time. A runs faster than B. If they run in the same direction, they meet in 3 minutes and 20 seconds. If they run back, they meet in 40 seconds. Find the speed of A and B, let A's speed be X and B's speed be. . . The equation listed is. . .
The speed of B is: (400-40x)/40m/s.
The listed equation is: 200[X-(400-40X)/40]=400(3 minutes and 20 seconds =200 seconds).
X=6 (m/s)
(400-40X)/40=4 (m/s)
1 The area above the earth is about 7 1 times of the land area, and the surface area of the earth is about 5 1 100 million square kilometers. How big is the land area on the earth? (accurate to 0. 1 100 million square kilometers)
2 Pour a long cylindrical glass with an inner diameter of 90 mm (filled with water) into a rectangular iron box with a ground diameter of13131mm and an inner height of 81mm. When the iron box is filled with water, how much does the water in the glass drop?
A cylindrical glass with an inner diameter of 1.20 mm and a cylindrical glass plate with an inner diameter of 300 mm and an inner height of 32 mm can hold the same amount of water. What is the internal height of the glass?
Pour the full bucket of water in a cylindrical bucket with an inner diameter of 200mm into a rectangular iron box with internal length, width and height of 300mm, 300mm and 80mm respectively, and just fill it up. Find the water height of cylindrical bucket? (accurate to the millimeter. Dispatch 3. 14)
5 The tax reserve of the double pool is 40 tons, the water in pool A is 4 tons, and the water in pool B is 8 tons, so the water in pool A and pool B are equal in tonnage ... How many tons of water are there in these two pools?
6 It takes 65,438+02 days for an underground pipeline to be laid by Team A alone, and 65,438+08 days for it to be repaired by Team B alone. How many days will it take for the two engineering teams to construct from both ends at the same time?
Questioner: 1 The area above the earth is about 7 1 times of the land area, and the surface area of the earth is about 5 1 100 million square kilometers. How big is the land area on the earth? (accurate to 0. 1 100 million square kilometers)
Let the area of the land be x.
X+7 1/29X=5 . 1
X= 1 .479
That is, the land area is: 1. 500 million square kilometers.
2 Pour a long cylindrical glass with an inner diameter of 90 mm (filled with water) into a rectangular iron box with a ground diameter of13131mm and an inner height of 81mm. When the iron box is filled with water, how much does the water in the glass drop?
Let the descending height be x.
The volume of falling water is equal to the volume of water in the iron box.
3。 14 * 45 * 45 * X = 13 1 * 13 1 * 8 1
X = 218.6
The water level drops by 2 18. Six millimeters.
A cylindrical glass with an inner diameter of 1.20 mm and a cylindrical glass plate with an inner diameter of 300 mm and an inner height of 32 mm can hold the same amount of water. What is the internal height of the glass?
A cylindrical glass with an inner diameter of 120mm and a cylindrical glass plate with an inner diameter of 300mm and an inner height of 32mm can hold the same amount of water.
So the volumes of the two containers are equal.
The volume of a cylindrical glass disk with an inner diameter of 300mm and an inner height of 32mm.
V=π(300/2)^2*32=720000π
Let the internal height of the glass be x.
therefore
X*π( 120/2)^2=720000π
X = 200mm mm
Pour the full bucket of water in a cylindrical bucket with an inner diameter of 200mm into a rectangular iron box with internal length, width and height of 300mm, 300mm and 80mm respectively, and just fill it up. Find the water height of cylindrical bucket? (accurate to the millimeter. Dispatch 3. 14)
Let the height of the barrel be x.
3。 14 * 100 * 100 * X = 300 * 300 * 80
X=229
That is, the height of the bucket is 229 mm
5 The tax reserve of the double pool is 40 tons, the water in pool A is 4 tons, and the water in pool B is 8 tons, so the water in pool A and pool B are equal in tonnage ... How many tons of water are there in these two pools?
Use (40-X) tons of water in pool A to remove the initial x tons of water in pool B:
X-8=(40-X)+4
X=26
40-26= 14 (ton) a
6 It takes 65,438+02 days for an underground pipeline to be laid by Team A alone, and 65,438+08 days for it to be repaired by Team B alone. How many days will it take for the two engineering teams to construct from both ends at the same time?
Solution: suppose it can be laid in x days.
1/ 18X+ 1/ 12X = 1
2/36X+3/36X= 1
5/36X= 1
X= 1 divided by 5/36
X= 1 times 36/5.
X=36/5
That is 36/5 days.
Teachers and students of a school go to the roadside 20 kilometers away from the school to plant trees. Class A teachers and students rode bicycles for 45 minutes, while Class B teachers and students set off by car. As a result, both classes arrived at the same time. As we all know, the speed of a car is 2.5 times that of a bicycle. What is the speed of the two cars? Floor: 1
[train of thought analysis]
This topic is a "catch-up" problem in the travel problem, so the basic quantities distance, speed and time exist distance = speed × time.
Basic relationship. When looking for the equation relationship, we should check according to the basic quantitative relationship to see if they represent the same quantity.
[Problem solving process]
Suppose the speed of bicycle is x km/h, then the speed of car is 2.5 km/h, 45 minutes =45/60 hours =3/4 hours.
It can be listed from the meaning of the question: 20/x-20/2.5x=3/4.
Simplify it to: 20/x-8/x=3/4.
Solve the equation: remove the denominator and multiply both sides by 4x: 80-32=3x.
∴x= 16
It is verified that x= 16 is the solution of the fractional equation, which accords with the meaning of the question.
∴2.5x=2.5× 16=40
A: The bicycle speed is16km/h and the car speed is 40km/h. ..
1 A commodity is now promoted, and the price is reduced 10%. In order to keep the total sales amount unchanged, how many percent will the sales volume increase over the original price? (List one-dimensional linear equations with detailed process and explanation)
There are some identical rooms that need painting. One day, the first-class mechanic went to paint 8 rooms, and as a result, 50 square meters didn't have time to paint; At the same time, five second-class technicians painted the room 10 and another 40 square meters of walls. Each first-class mechanic paints more walls of 10 square meter than the second-class mechanic, and the wall area to be painted in each room is 1. Suppose: the original unit price is X, the original sales volume is Y, and the subsequent sales volume is Z times the original.
X*90%*y*z=xy according to the meaning of the question.
90%z= 1
z= 1/90%
Then the increase is1/90%-1=11%.
Sales volume is higher than the original price 1 1%.
2. Design: the area of a room is Z square meters, the daily painting area of a first-class mechanic is X square meters, and the daily painting area of a second-class mechanic is Y square meters.
According to the meaning of the question, there are 3x=8z-50.
5y= 10z+40
x=y+ 10
General joint solution 3(y+ 10)=8z-50, 5y= 10z+40.
Get z=52.
So each room is 52 square meters.