Answer: the length is 11 cm.
The width is 7 cm.
Step-by-step explanation:
Let L represent the length of the rectangular plastic box.
Let W represent the width of the rectangular plastic box.
The area of the rectangular top of the box is 77 square cm. This means that
LW = 77- - - - - - - ;- - - -1
The plastic box has a length 4 cm longer than its width. This means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
(W + 4)W = 77
W² + 4W = 77
W² + 4W - 77 = 0
W² + 11W - 7W - 77 = 0
W(W + 11) - 7(W + 11) = 0
W - 7 = 0 or W + 11 = 0
W = 7 or W = - 11
Since the width cannot be negative, then W = 7cm
L = 77/7 = 11 cm
Answer:
1. 1080
2. It shows the initial debt, i.e., $1080
3.24 months
1/4(6 + 2c) > 3
0.25 (6+ 2c) > 3
1.5 + 0.5c > 3
0.5c > 1.5
c > 3
Or multiply both sides by 4 to get rid of the 1/4,
6 + 2c > 12
2c > 6
c >3
<span>Table
Bottles Price($)
3 78
6 156
9 234
From that you can find the unit price: 78 / 3 = 156 / 6 = 234 / 9 = 26.
That means that the unit rate of this fragance is $26.
If you call x the number of bottles the equation is
Price = unit rate * number of bottles = 26x.
Now compare this information with that on your graph to compare the unit rates.
This can help you fo find the unit rate in from your grpah: the unit rate is the slope of the line =
[change in y-coordinate] / [change in the x-coordinate]
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