Answer 3/4w+8=w-7
3/4w-w= -7-8
-1/4w= -15
w= 60
We get AB+BC = AC from the question.
this means that:
2x + 3 + 6x - 5 = 22
8x = 24
x = 3
Answer:
The rectangle is 8 ft by 6 ft.
Step-by-step explanation:
Let x = length and y = width
Then, 2x+2y = 28 and xy = 48
Since 2x+2y = 28, y = 14 - x
So, x(14 - x) = 48
x2 - 14x + 48 = 0
(x-8)(x-6) = 0
x = 8 or x = 6
Hope this helps!
Answer:
480 miles
Step-by-step explanation:
10 x 6 = 60. 60 x 2 = 120. 120 x 4 = 480
Original Figure:
Length = 15
Width = 5
Height = 10
Volume = Length*Width*Height
Volume = 15*5*10
Volume = 750
New Figure
Length = 3
Width = 1
Height = 2
Each dimension has been divided by 5 (eg: 15/5 = 3)
Volume = Length*Width*Height
Volume = 3*1*2
Volume = 6
The old volume was 750 and it changes to 6
Notice how 750/6 = 125
Which can be rearranged to 750/125 = 6
Answer: if you divide the old volume by 125, then you get the new volume
Note: the new volume is 125 times smaller than the old volume
Put another way, the old volume is 125 times larger compared to the new volume
The fact that 125 = 5^3 is not a coincidence. If you divide each dimension by some number k, then you divide the volume by k^3
