Find math puzzle 10

The total number of A and B is 762. A = x, B is 5 times that of A. How much is A? How much is B?

Answer: To figure out the answer, we must first understand the relationship between A and B. B is 5 times that of A, then B = 5x.

Then, 5x+x= can be written as 1x, and 1x+5x=6x. This means that 6x = 762. To solve the equation, divide 762 by 6 and it is equal to x.

In vertical calculation, 762 divided by 6 equals 127, then, x=127, 127 is A. How do you calculate B? Needless to say, 127 5 = 635, which is B!

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If the solution of the system of equations (3x+y=k+1 x+3y=3) is x,y, and the system of 2 equations = 2x-2y=k-2

Divide by 2 on both sides at the same time

x-y=k-2/2(20

It is recommended that you buy the real questions of the college entrance examination.

Grandpa competes in the 100-meter race (playing a mathematician's name).

Answer: Zu Chongzhi.

Rational number a=1*1991+2*1991+3*1991+.1991*1991, then after A is divided by 9, what is the remainder?

Solution: Observe 1+2+3+4....The sequence of 1991 numbers transforms the above equation as:

Break down (1) to get:

Denote Eq. (2) as:

Denote Eq. (3) as:

The number of items with 1991 in parentheses above is 1991 natural numbers.

Rational number a=1*1991+2*1991+3*1991+.1991*1991 is transformed as:

a=（1+2+3+..1991) 1991 (5) Equation (5) is transformed by (1), (2), (3), and (4) to obtain:

a=996×1991×1991 （6）

6) Eq. is divided by 9 by Eq. B

b=996×1991×1991÷9

From b = (990 + 6) 1991 1991 9, the conclusion is that the remainder is 6.

So a=996 1991 1991=3948224670+63948224670 divisible by 9.

Answer: Rational number a=1*1991+2*1991+3*1991+.1991*1991, then after A is divided by 9, the remainder is 6.

I have a very coincidental topic here:

One man said that he could cross 3 meters in one step, proving that he was lying. (This person is a normal person).

The answer is to use the three-sided nature of the triangle, the sum of the two sides is greater than the third side, and the line between the legs and the feet and the ground forms a triangle and it is an isosceles triangle, and the leg length of a normal person cannot be 1.5 meters, so he is lying.

What are the customs of Tibetans playing the flute???

A(0,0), B(10,0), C(10,6), D(0,6), the straight line Y=MX-3M+2 divides the quadrilateral disturbance ABCD into two parts of equal area, then the straight Zen Li Ruined Line Y=MX-3M+2 must pass through the center point of the quadrilateral Hebei shape (5,3).

So, when x=5, y=3

5m-3m+2=3

2m=1m=1/2

There is a proposition: "The straight line through the center of the rectangle divides the area of the rectangle in two equal parts" Doutan, and its inverse proposition also holds, that is, "the straight line that divides the area of the rectangle in two equal parts through the center of the rectangle".

Therefore, the straight line is empty with the point (5,3)m=

Because the straight line Y=MX-3M+2 divides the quadrilateral ABCD into two parts with equal area, we know that as long as the straight line of this type of bucket is crossed by the coordinates, that is, the center of gravity, the quadrilateral can be divided into two parts with equal pin source area. So bring in the coordinates: 3=5m-3m+2 solution: m=

m = If you want to divide the ABCD in the figure into two parts of the area, the area of this is the same as that of the two parts of the clearance.

Then the straight line must cross the center point of the ABCD m(5,3), that is, the straight line that crosses m(5,3) can bisect the ABCD.

Bring x=5,y=3 into the equation y=mx-3m+2 to get m=

Knowing that the four points A(0,0), B(10,0), C(10,6), and D(0,6) on the plane coordinate system, the line Y=MX-3M+2 divides the four-sided tassel-shaped ABCD into two parts of the same area, then the value of M is

Because the straight line y=mx-3m+2 divides the quadrilateral abcd into two parts of equal area, we know that as long as the straight line passes through the coordinates (, that is, the center of gravity, we can divide the quadrilateral into two middle ridge parts of equal area. So bring in the coordinates: 3=5m-3m+2 solution: m=

x=112×1/6×（1-2/3） x=112×1/6×1/3

x=112 6 1 Sun cavity 3 x=112 18 x=56 9

112 of 1 6 small 2 branch stuffy 3, should be Meng Kai bend should be 112 of 1 6 of 1 3.