Answer:
Option B is correct = 
Step-by-step explanation:
<u>The complete question is:</u> Which of the following options have the same value as 30% of 81?
Group of choices is:
(A) 
(B) 
(C) 
(D) 
(E)
Now, the expression given to us is 30% of 81.
Simplifying the above expression we get;
30% of 81 =
=
= 
Now, we will solve each of the given options and then see which option matches with our calculation.
Option (A) is given;
= 
This doesn't match with our answer, so this option is not correct.
Option (B) is given;
<u><em>This matches with our answer, so this option is correct.</em></u>
Option (C) is given;
This doesn't match with our answer, so this option is not correct.
Option (D) is given;
= 
This doesn't match with our answer, so this option is not correct.
Option (E) is given;
This doesn't match with our answer, so this option is not correct.
The absolute value equation representing the length of the nail is :
A nail of length 1.05 inches is unacceptable
Actual Length of nail = 1 inch
Allowable variation = 1/32 inches
The minimum allowable length :
actual length - allowable variation
The maximum allowable length :
Actual length + allowable variation
The length of X, of the nail must be follow the equation :
Minimum ≤ X ≤ maximum

A nail of length 1.05 inches
Maximum nail length = 1 1/32 = 1.031
1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe
Learn more : brainly.com/question/24656203
The length of pencil A is 5 cm
<em><u>Solution:</u></em>
Let the length of pencil A be "x"
Let the length of pencil B be "y"
Let the length of pencil C be "z"
<em><u>The total length of pencils A, B and C is 29 cm</u></em>
Therefore,
length of pencil A + length of pencil B + length of pencil C = 29
x + y + z = 29 ------------ eqn 1
<em><u>Pencil A is 11 cm shorter then pencil B</u></em>
x = y - 11 ------- eqn 2
<em><u>Pencil B is twice as long a pencil C</u></em>
y = 2z
------ eqn 3
<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

<em><u>Substitute y = 16 in eqn 2</u></em>
x = 16 - 11
x = 5
Thus length of pencil A is 5 cm
The value of 6 would be 600 the value of 2 is 20 and. 5 is 5.