Answer:
Mrs. Habib will have 22.25 feet of border left after she puts border around the board.
Step-by-step explanation:
You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is
, where
the length of the board, and
the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:

Now you can just solve for the perimeter.


The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.
Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.
Answer:
The feasible region in the attached figure
Step-by-step explanation:
Let
x ----> the number of shirts
y ----> the number of pants
we know that
The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80
so
The inequality that represent this problem is

using a graphing tool
The feasible region is the triangular shaded area
see the attached figure
Answer:
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Step-by-step explanation:
Answer:
Option A. 64x^3
Step-by-step explanation:
From the question, we were able to obtain the following:
L = 4x
In cubic units,
Volume = L^3
Volume = (4x)^3
Volume = 64x^3
<span>When adding up fractions, the idea is to bring them to a common denominator. In our case, the common denominator is 12. So we must amplify each fraction in order to bring its denominator to 12. 1/6 becomes 1*2/6*2 = 2/12. 2/3 becomes 2*4/3*4. 1/4 becomes 1*3/4*3. When we sum them up we get 2/12 + 8/12 + 3/13 or 13/12, which is (12+1)/12 or 12/12 + 1/12 or 1+ 1/12. So the answer is C.</span>