A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish. I need three ways

The three ways are;

1) Two stacks of six reams

2) Four stacks of three reams

3) Four stacks of three reams arranged two by two

Step-by-step explanation:

The parameters given are;

Dimensions of one ream of paper = 8.5 in. by 11 in. by 2 in.

The number of reams of paper = 12

The three unique ways are;

1) Two stacks of six reams

Box dimension = 6 × 2 in. by 2 × 8.5 in. by 11 in. = 12 in. by 17 in. by 11 in.

Box dimension of new box = 12 in. by 17 in. by 11 in.

2) Four stacks of three reams

Box dimension = 3 × 2 in. by 4 × 8.5 in. by 11 in. = 6 in. by 34 in. by 11 in.

Box dimension of new box = 6 in. by 34 in. by 11 in.

3) Four stacks of three reams arranged two by two

Box dimension = 3 × 2 in. by 2 × 8.5 in. by 2 × 11 in. = 6 in. by 17 in. by 22 in.

Box dimension of new box = 6 in. by 17 in. by 22 in.

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

the answer to question 1 is -8, 28.

step-by-step explanation: