Answer:
319.872
Step-by-step explanation:
319.872 / 384 = 83 1/3 / 100
Answer:
(E) 1
Step-by-step explanation:
2r+ (2r+3 ) < 11
Combine like terms
4r+3 < 11
Subtract 3 from each side
4r +3-3 < 11-3
4r < 8
Divide each side by 4
4r/4 < 8/4
r <2
The only possible choice is 1
Answer:
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
Step-by-step explanation:
From Geometry we remember that the perimeter (
), measured in centimeters, of a rectangle is determined by the following formula:
(1)
Where:
- Width of the rectangle, measured in centimeters.
- Length of the rectangle, measured in centimeters.
If we know that
,
and
, then the value of
is:
![2\cdot (2\cdot x +3)+2\cdot (6\cdot x-7) = 56](https://tex.z-dn.net/?f=2%5Ccdot%20%282%5Ccdot%20x%20%2B3%29%2B2%5Ccdot%20%286%5Ccdot%20x-7%29%20%3D%2056)
![4\cdot x +6 +12\cdot x -14 = 56](https://tex.z-dn.net/?f=4%5Ccdot%20x%20%2B6%20%2B12%5Ccdot%20x%20-14%20%3D%2056)
![16\cdot x-8 = 56](https://tex.z-dn.net/?f=16%5Ccdot%20x-8%20%3D%2056)
![16\cdot x = 64](https://tex.z-dn.net/?f=16%5Ccdot%20x%20%3D%2064)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
And the length and the width of the rectangle are, respectively:
![l = 6\cdot (4)-7](https://tex.z-dn.net/?f=l%20%3D%206%5Ccdot%20%284%29-7)
![l = 17\,cm](https://tex.z-dn.net/?f=l%20%3D%2017%5C%2Ccm)
![w =2\cdot (4)+3](https://tex.z-dn.net/?f=w%20%3D2%5Ccdot%20%284%29%2B3)
![w = 11\,cm](https://tex.z-dn.net/?f=w%20%3D%2011%5C%2Ccm)
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
We have to simplify this as a product of fractions. Notice that the 6 has a negative sign, therefore, the result will be negative. We have then:
![-6\cdot\frac{1}{3}=-\frac{6}{1}\cdot\frac{1}{3}=-\frac{6\cdot1}{1\cdot3}=-\frac{6}{3}=-2](https://tex.z-dn.net/?f=-6%5Ccdot%5Cfrac%7B1%7D%7B3%7D%3D-%5Cfrac%7B6%7D%7B1%7D%5Ccdot%5Cfrac%7B1%7D%7B3%7D%3D-%5Cfrac%7B6%5Ccdot1%7D%7B1%5Ccdot3%7D%3D-%5Cfrac%7B6%7D%7B3%7D%3D-2)
therefore, the simplified result is -2