Volume is area of the triangular part x length.
Area of triangle = 1/2 x base x height = 1/2 x 6 x 4 = 12 square feet.
Volume = 12 x 8 = 96 cubic feet.
Surface area = area of two triangles ( front and back ) , which we calculates the area of one in Part A, plus the surface area of the two sides plus the area of the bottom:
Area of two triangles = 12 x 2 = 24 square feet.
Area of one side = 5 x 8 = 40 square feet
Area of two sides = 40 x 2 = 80 square feet.
Area of bottom = 6 x 8 = 48 square feet.
Total surface area = 24 + 80 + 48 = 152 square feet.
The problem statement gives a relation between the amount removed from one bag and the amount removed from the other. It asks for the amount remaining in each bag. Thus, there are several choices for variables in this problem, some choices resulting in more complicated equations than others.
Let's do it this way: let x represent the amount remaining in bag 1. Then the amount removed from bag 1 is (100-x). The amount remaining in bag 2 is 2x, so the amount removed from that bag is (100-2x). The problem statement tells us the relationship between amounts removed:
... (100 -x) = 3(100 -2x)
... 100 -x -3(100 -2x) = 0 . . . . . . subtract the right side
... 5x -200 = 0 . . . . . . . . . . . . . . eliminate parentheses and collect terms
... x -40 = 0 . . . . . . . . . . . . . . . . .divide by 5
... x = 40 . . . . . . . . . . . . . . . . . . . add 40
- 40 kg is left in the first bag
- 80 kg is left in the second bag
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<u>Check</u>
The amount removed from the first bag is 60 kg. The amount removed from the second is 20 kg. The amount removed from the first bag is 3 times the amount removed from the second bag, as described.
Answer:
d
Step-by-step explanation:
Answer:
About 34 workers
Step-by-step explanation:
200/30 to find on average how many trees can be carved by one worker
The answer is 6.666, so just 6
Then 6*4=24 to figure out how many more trees can be carved by (4 more) workers
So, add 4 to 30 and about 224 trees can be carved.
