1, if two cars start from two places at the same time and travel along the same road, 2 hours Cars travel 100 kilometers per hour, buses 80 kilometers per hour 1. If two vehicles start from two places at the same time and travel along the same road, they will meet at the gas station two hours later. How long is the road between the two places? 2. If two vehicles start from the gas station at the same time and travel along the same road opposite each other, they will arrive at the destination at the same time in two hours. How long is the road between the two places?

1. (100 + 80) x2 = 360 km
2. (100 + 80) x2 = 360 km

Given that a and B are positive numbers, and ab = 4, try to explain that the minimum value of √ (a + b) is 2

a+b≥2√(ab)=4
So the minimum value of √ (a + b) is 2
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The two trains run from the two stations at the same time. After the whole journey, it takes 6 hours for the express train and 9 hours for the slow train. The distance between the two trains is 160 kilometers after 2 hours. How many kilometers is the distance between the two stations?

160 ÷ (1-16 × 2 − 19 × 2) = 160 △ 49 = 360 (km) a: the distance between station a and station B is 360 km

-The average of 5,1,10 is 2. If the average is increased by 1, the above data can be changed to ()

-The average of 5,1,10 is 2. If the average is increased by 1, the above data can be changed to (- 5,1,13)
Average increase 1:2 + 1 = 3
3*3=9
So three numbers add up to nine
It can be: - 5 + 1 + 13 = 9

The sum of 25 consecutive even numbers is 2000. What is the largest even number?
Don't use fractions,

2000÷25=80
The largest even number = 80 + 12 × 2 = 104
12 × 2 means that there are 12 numbers larger than 80,

How many proportions can be made up of 1.2, 1 / 4, 5 and 24? Write down the proportion

1.2:24 = 1:5 of 4
1.2:1 / 4 = 24:5
24:1.2 = 5:1 / 4
1:1.2 = 5:24

On the highway, a car is 4 meters long and its speed is 110 kilometers, while a truck is 12 meters long and its speed is 100 kilometers,
What is the time it takes for a car to overtake a truck from the beginning to the end?

(4+12)÷[(110-100)×(1000÷3600)]
=16÷(100/36)
=5.76 (seconds)

Given that the length of each side of the space quadrilateral ABCD is equal to the diagonal, find the angle of AB and CD

Let the length of each side and diagonal of the space quadrilateral ABCD be 2, take the midpoint of AD, AC and BC as m, P and N respectively, and connect them. From the knowledge of the median line, we can get: MP ‖ CD, PN ‖ AB, MP = NP = 1, so ∠ MPN is the angle formed by AB and CD, and the triangle adn is an isosceles triangle, (an = DN = 3), so Mn ⊥ ad, Mn = an2 − AM2 = (3) 2 − 12 = 2, so in the triangle MNP, MP2 + NP2= Therefore, the angle between AB and CD is 90 degrees

The weight of coal in pile a is 25% of the weight of coal in pile B, 14% of the weight of coal in pile a and pile C, and 90 tons of coal in pile C. how much is the weight of coal in pile a and pile C?

Total weight of three piles of coal: 90 △ 1-22 + 5-11 + 4, = 90 △ 1835, = 90 × 3518, = 175 (T); weight of pile a: 175 × 22 + 5 = 50 (T); weight of pile B: 175 × 11 + 4 = 35 (T); answer: weight of pile a: 50 t; weight of pile B: 35 t

For any real numbers a (a ≠ 0) and B, the inequality | a + B | + | A-B | ≥ | a | (| X-1 | + | X-2 |) holds and the value range of real numbers is obtained

|a+b|+|a-b| ≥ |a|(|x-1|+|x-2|)
(|a+b|+|a-b|)/|a| ≥ (|x-1|+|x-2|)
(|1+b/a|+|1-b/a|)≥ (|x-1|+|x-2|)
|The minimum value of 1 + B / a | + | 1-B / a | is 2
So you just need to be | X-1 | + | X-2|