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Inquiry mathematics 6
(1) Solution: Let this land * * * have x hectares.

Because the first day I plowed 1/3, the next day I plowed the remaining half.

So the next day1/2 * (1-1/3) =1/2 was plowed.

x( 1-2/3)=38

x=38*3

x= 1 14

So this land * * * has 1 14 hectares.

(2) Solution: Assume that this batch of goods has x tons.

2x/3-4=x/4

2/3x- 1/4x=4

5/ 12x=4

x=48/5

So this shipment * * * has 48/5 tons.

(3) As mentioned above, the Pentagon is known to have 12 blocks.

Then, according to the number of hexagons connected by pentagons, the number of other pentagons and the number of hexagons connected by pentagons, the calculation formula is as follows:

Let a regular hexagon have X.

5* 12=x*6/2

x=20

That is, 12 regular pentagons and 20 regular hexagons.

(4) Because x=- 1 is the solution of Equation 3-MX/2+x = m.

(3-m(- 1))/2+(- 1)=m

(3+m)/2- 1=m

(3+m)-2=2m

3+m-2=2m

m= 1

So (2m-1/m) 2003+2003 =12003+2003 = 4006.

(5) Because the linear equation contains only one unknown, and the degree of the unknown is 1.

So the equation variable is ax2+5x+ 14=7x2-2x+5a.

=(a-7)x2+7x=5a- 14

So a-7=0

That is, a=7.

Then the equation becomes 7x=2 1,

So x=3.

(6) Solution: Because 1/3D+P- 17/3=0.

So 1/3D+p= 17/3.

When P=4

1/3D= 17/3-4

1/3D=5/3

D=5

When p=5

1/3D= 17/3-5

1/3D=2/3

D=2

When p= 1 1/3 yuan.

1/3D = 17/3- 1 1/3

1/3D=2

D=6