Answer:
The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches
Step-by-step explanation:
We have that:

Let the dimension of the paper be x and y;
Such that:


So:

Substitute 128 for Area

Make x the subject

When 1 inch margin is at top and bottom
The length becomes:


When 2 inch margin is at both sides
The width becomes:


The New Area (A) is then calculated as:

Substitute
for x

Open Brackets

Collect Like Terms



To calculate the smallest possible value of y, we have to apply calculus.
Different A with respect to y

Set

This gives:

Collect Like Terms

Multiply through by 


Divide through by 2

Take square roots of both sides



Recall that:



Recall that the new dimensions are:


So:




To double-check;
Differentiate A'




The above value is:

This means that the calculated values are at minimum.
<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>
Answer:
828.32
Step-by-step explanation:
865 x (1 - 0.16) x (1 + 0.14) = 828.32
Answer:
Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.
Step-by-step explanation:
(3b+4r)+(-2b-r)
Open the bracket
=3b+4r-2b-r
Combine the like coefficient
=3b-2b+4r-r
=b+3r
Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.
Answer:
12/40=0.3
0.3 car parts per minute
9 / 0.3 = 30 minutes
30 minutes for 9 parts
Hope this helps
Step-by-step explanation: