The human body generates about 400 btus of body heat per hour while active. if an office that is 18 ft × 38 ft × 12 ft has 12 workers, how many btus per cubic foot do they produce in 5 hours? (to the nearest tenth)

2.9 BTU/ft³

Step-by-step explanation:

Total BTU = 12 workers × (400 BTU/1 worker·hour) × 5 hours = 24 000 BTU

V = lwh = 38 ft × 18 ft × 12 ft = 8208 ft³

24 000 BTU/8208 ft³ = 2.9 BTU/ft³

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".