5 math problems, it will be relatively easy

1.The difference between the volume of a cylinder of equal height and the cone is 16 cubic decimeters, the volume of this cylinder is () cubic centimeters, and the volume of the cone is () cubic decimeters.

The volume of the cylinder is.

16 (1 1/3) 24 cubic decimeters.

The volume of the cone is.

24 1/3 8 cubic decimeters.

2.The sum of the volume of a cylinder and a cone of equal height is 96 cubic decimeters, the volume of a cylinder is () cubic decimeters, and the volume of a cone is () cubic decimeters?

The volume of the cylinder is.

96 (1 1/3) 72 cubic decimeters.

The volume of the cone is.

72 1/3 24 cubic decimeters.

3.Cut a cuboid with a square cross-section into the largest cone, the circumference of the bottom surface of the cone is known to be centimeters and 5 centimeters high, how many cubic centimeters is the volume of the cuboid?

The diameter of the bottom surface of the cone (i.e. the length of the sides of the square) is.

Centimeter. The volume of the box is.

2 2 5 20 cubic centimeters.

4.A truck compartment is a cuboid, it is 4 meters long, meters wide, 4 decimeters high, filled with a cart of sand, unloaded sand piled into a conical with a height of 5 decimeters, its bottom area is how many square meters?

The volume of sand is.

4 cubic meters.

The bottom area of the sand pile is.

Square metre. 5.How many centimeters is the height of a cylindrical iron block with a bottom circumference of centimeters and a height of 10 centimeters, and the bottom area is 25 square centimeters.

The base radius of the iron block is.

Centimeter. The volume of the iron block is.

Cubic centimetre. The height of the cone is. Centimeter.

1: root number 4a-2 = 2 times the root number 2a-1, so 1+a=2a-1, a=22: the cubic of x +2x -7=x(x +2x)-7=x(x +x+x)-7; Since x +x-1=0, x +x=1 is substituted for x(x +x+x)-7=x(1+x)-7=x +x-7=1-7=-6

The solution of 3: x -6x+8=0 is 4 and 2, then the triangle is an isosceles triangle, and the sum of the two sides must be greater than the third side, so the two long sides are 4, the short side is 2, and the circumference is 4+4+2=10

I don't know if it's right or not, I hope it can help you.

1. If the unary equation 2x -x+m=0 has a real root, then the range of the value of m is (

1-8m>=0,m<=1/8

2. Knowing the equation for x x + (4m + 1) x + 2m - 1 = o, verify that this equation must have two unequal real roots.

4m+1) 2-4(2m-1)=16m 2+8m+1-8m+4=16m 2+5>0, so this equation must have two unequal real roots.

3. Knowing that b,c are the two roots of the equation x +bx + c=0, and c ≠ 0, b≠c, find the value of b,c.

b+c=-b

bc=c,b=1,c=2

4. Knowing that x = root number 3-1, find the value of 3-2x -4x x + 2x-1.

x+1 = root number 3, (x+1) 2 = 3

3-2x²-4x/x²+2x-1=7-2(x+1)^2/[(x+1)^2-2]=7-3/3-2=4

(1) Recruit 50 people A and 100 people B, using linear programming.

2) 39 people, 15 albums. Establish a system of binary linear equations.

3) The time is too short, and you will be given a solution later.

First of all, from the problem we get the value of 3x-12 as -1 3;Both 3x-12=-1 3;Then solve x to get x=35 9.

In the second problem, we know that the exponent of x is 1 from the condition "the equation of x is a one-dimensional equation about x"; So there is the equation 3k-8=1;Solve k=3;

The key to this kind of problem is to find out some conditions from the meaning of the question, and then reflect it on the problem it gives to solve, as long as you are careful, it should not be difficult!!

1.The meaning of the topic can be seen: 3x-12+1 3=0, then the equation 3x=36 3-1 3=35 3, x=35 9

If the exponent is one, then 3k-8=1, then 3k=9, k=3

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