Answer:
The width of the garden bed must be less than or equal to 4 feet.
![w\leq4](https://tex.z-dn.net/?f=w%5Cleq4)
Explanation:
Given that;
She has 20 feet of boards to make the sides.
The perimeter of the garden bed must not be more than 20 feet
![\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%3D2l%2B2w%5Cleq20%20%5C%5C%202l%2B2w%5Cleq20%20%5Cend%7Bgathered%7D)
Given;
The length is 6 feet;
![l=6](https://tex.z-dn.net/?f=l%3D6)
To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;
![\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202l%2B2w%5Cleq20%20%5C%5C%202%286%29%2B2w%5Cleq20%20%5C%5C%2012%2B2w%5Cleq20%20%5C%5C%202w%5Cleq20-12%20%5C%5C%202w%5Cleq8%20%5C%5C%20%5Cfrac%7B2w%7D%7B2%7D%5Cleq%5Cfrac%7B8%7D%7B2%7D%20%5C%5C%20w%5Cleq4%20%5Cend%7Bgathered%7D)
Therefore, the width of the garden bed must be less than or equal to 4 feet.
Answer:
1008
Step-by-step explanation:
If 4/5 of eighth graders, or 80%, are enrolled with class, there are still 20% of students that didn't study. That means you add 168, the 20%, and you'll get 1008.
Answer: (2x - 1)(3x - 4)
(split -11x as -8x and -3x)
Step-by-step explanation:
I am assuming that it is actually 6x^2 - 11x + 4
To find out how to split the middle term: The two numbers should multiply to a*c (6*4 = 24) and add to b (-11)
-8, -3 works
(6x^2 - 8x) + (-3x + 4)
2x(3x - 4) + -1(3x - 4)
(2x - 1)(3x - 4)
Answer:
See Explanation
Step-by-step explanation:
![\frac{mass \: of \: earth}{mass \: of \: human} = \frac{5.97 \times {10}^{24} }{6.35 \times {10}^{1} } \\ \\ = 0.94015748 \times {10}^{24 - 1} \\ \\ = 0.94015748 \times {10}^{23} \\ \\ = 9.4\times {10}^{22} \\ \\ \therefore \: mass \: of \: earth \\ =( 9.4\times {10}^{22} ) \times mass \: of \: human](https://tex.z-dn.net/?f=%20%5Cfrac%7Bmass%20%5C%3A%20of%20%5C%3A%20earth%7D%7Bmass%20%5C%3A%20of%20%5C%3A%20human%7D%20%20%3D%20%20%5Cfrac%7B5.97%20%5Ctimes%20%20%7B10%7D%5E%7B24%7D%20%7D%7B6.35%20%5Ctimes%20%20%7B10%7D%5E%7B1%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%200.94015748%20%5Ctimes%20%20%7B10%7D%5E%7B24%20-%201%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%200.94015748%20%5Ctimes%20%20%7B10%7D%5E%7B23%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%209.4%5Ctimes%20%20%7B10%7D%5E%7B22%7D%20%20%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20mass%20%5C%3A%20of%20%5C%3A%20earth%20%20%5C%5C%20%3D%28%209.4%5Ctimes%20%20%7B10%7D%5E%7B22%7D%20%29%20%20%5Ctimes%20mass%20%5C%3A%20of%20%5C%3A%20human)