Three postal workers can sort a stack of mail in 35 minutes, 30 minutes, and 210 minutes, respectively. Find how long it take
2 answers:
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<h3>Answer:</h3>
- x = 5/6 in ≈ 0.83 in
- v = 125/108 in³ ≈ 1.16 in³
The width of the cardboard (in inches) will be 4x, and its length will be (5-4x) so the perimeter adds up to 10 in. Then the volume is the product of the area of the open ends (x²) and the length (5-4x).
The graphing calculator shows that volume is maximized when the value of x is 0.833, or 5/6 inch. The corresponding length is 5-4x = 5/3 inch, so the volume is ...
... v = (5/6)²×(5/3) = 125/108 . . . . in³
The corresponding decimal values of x and volume are ...
... x ≈ 0.83 in
... v ≈ 1.16 in³
Answer:
The lenght of the first piece is 6 feet.
The lenght of the second piece is 18 feet.
The lenght of the third piece is 30 feet.
Step-by-step explanation:
Let be:
the lenght of the first piece (in feet).
the lenght of the second piece (in feet).
the lenght of the third piece (in feet).
You know that the total lenght of the piece of siding is 54 feet. This means that:
Having this expression, you can solve for "x":
Therefore, the lenght of the first piece is 6 feet.
Then:
(The lenght of the second piece is 18 feet)
(The lenght of the third piece is 30 feet)