Answer:
- 525 = (w+4)(w)
- 21 ft by 25 ft
Step-by-step explanation:
Let w represent the width of the floor. Then the length of the floor is (w+4) and its area is ...
A = LW
525 = (w+4)(w)
w^2 +4w -525 = 0
(w -21)(w +25) = 0 . . . . factor the above
Solutions are ...
w = 21, w = -25
We are interested in the positive solution: w = 21.
The floor is 21 feet wide and 25 feet long.
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<em>Alternate solution</em>
Sometimes, when the factors aren't obvious, it works well to write an equation for the average of the dimensions. Here, we can represent that with x, and use (x-2) for the width, and (x+2) for the length. Then we have ...
525 = (x-2)(x+2) = x^2 -4
529 = x^2
√529 = 23 = x
Then w=23 -2 = 21, and the length is w+4 = 25.
Quotient is the result of a division.
1 - 1/x
Answer:
Step-by-step explanation:
let the consecutive even numbers be 2n-2,2n,2n+2,2n+4 where n>0 and n is an integer.
2n(2n+2)-(2n-2)(2n+4)
=4n²+4n-(4n²+8n-4n-8)
=4n²+4n-4n²-8n+4n+8
=8
A. 3/4 = 0.75 3/5 = 0.6 3/10 = 0.3 3/12 = 0.25
Right order
3/12 < 3/10 < 3/5 < 3/4
The right answer is letter D.
