Draw a rectangle. If the length is 3 inches longer than its width, we can write the width as "w" and the length as the width + 3
Area is (width)(Length) = (width)(width+3)
W
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A = (w+3)(w)
A = w2 + 3w = 108.
(Problem states that area is 108 sq in)
Need to solve this quadratic equation
w2 + 3y - 108 = 0
Factor:
(w - 9) (w + 12) = 0
So
w - 9 = 0. or. w + 12 = 0
Solve these and get
w = 9. or. w = -12
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 9 inches
Length = 12 inches
This is the concept of combinations and factorials:
the number of ways 3 bags can be arranged in the closet is given by:
3!
=3×2×1
=6 ways
thus the bags can be arranged in 6 different ways.
Answer:
the pica
Step-by-step explanation:
Answer:
18 points
Step-by-step explanation:
We first need to find the percent increase for both Iliana an Fiona.
To do so, we take the absolute value of difference (the score increase) and we compare/divide it by the original score they had.
So, for Iliana, we have a starting score of 65 and an increase of 21 (86-65).
Her percent of increase is 21/65 = 32.3%
For Fiona, she went from 70 and had a 10 points increase (80-70).
Her percent of increase is 10/70 = 14.3%
The difference between the two percent of increase is 18 points (32.3 - 14.3)
Answer:
negative 6.3 x + 1.7
Step-by-step explanation:
answer for your question