A blueprint of a plot of land has a scale of 1 1/4 cm to 3 1/4 m the length of the land is 20 cm on the blueprint if i represents the length of the actual peace of land. What is i

52metre

Step-by-step explanation:

Let us use proportion in solving this question, the land has a scale of 1 1/4 cm to 3 1/4 m then the proportion is

( 1 1/4)/ (3 1/4 ) =[blueprint of the plot of land/length of the actual peace of land]

But we need to convert those mixed fractions to improper fraction for easy simplification

1 1/4= [(4×1)+4]= 5/2

3 1/4=[(4×3)+1)]=13/4

Then we can proceed with simplification as

(5/2)/(13/4)=[blueprint of the plot of land/length of the actual peace of land]

But we were given length of the actual peace of land as 20 cm, then

(5/2)/(13/4)=[blueprint of the plot of land/20]

If we cross multiply we have

[blueprint of the plot of land] ×13/4 =5/2 ×20

[blueprint of the plot of land] =(5/2 ×20)÷(13/4)

= 50/(13/4)

=(4×13)/50

= 52

Therefore, the length of the actual peace of land is 52metre

4(3x2y4)3/(2x3y5)4

Final result :

   27

 —————

 4x6y8

Step by step solution :

Step  1  :

Equation at the end of step  1  :

   (((3•(x2))•(y4))3)

 4•——————————————————

     ((2x3•(y5))4)  

Step  2  :

Equation at the end of step  2  :

     ((3x2 • (y4))3)

 4 • ———————————————

        24x12y20    

Step  3  :

            33x6y12

Simplify   ————————

           24x12y20

Dividing exponential expressions :

3.1    x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6

Dividing exponential expressions :

3.2    y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8

Equation at the end of step  3  :

       27  

 4 • ——————

     16x6y8

Step  4  :

Final result :

   27

 —————

 4x6y8