Answer:
Just tried this on a calculator
)) i think its 7/2!
Step-by-step explanation:
Answer:
3/4 of cookie per each friend.
Step-by-step explanation:
Since you have 4 friends, and only have 3 cookies,
the fraction is 3/4. why? because 3/4= 0.75
which makes 0.75x 4 friends= 3 cookies . Each friend will get 0.75 or 75% of cookie which is the same as 3/4.
Let's use the variable x to represent the length of the first and second pieces.
If the third piece has twice the length of the first and second, its length is 2x.
If the fourth piece has half the length of the first and second, its length is 0.5*x.
Adding all four pieces and equating to 54 inches, we have:
![\begin{gathered} x+x+2x+0.5x=54 \\ 4.5x=54 \\ x=\frac{54}{4.5} \\ x=12 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2Bx%2B2x%2B0.5x%3D54%20%5C%5C%204.5x%3D54%20%5C%5C%20x%3D%5Cfrac%7B54%7D%7B4.5%7D%20%5C%5C%20x%3D12%20%5Cend%7Bgathered%7D)
So the length of each piece is:
12 inches, 12 inches, 24 inches and 6 inches.
Answer:
D) 1/5 e 1/3
Step-by-step explanation:
You have the following quadratic equation:
(1)
In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:
![2(k-8)+3(-k+1)=-4k+11\\\\2k-16-3k+3=-4k+11\\\\2k-3k+4k=11+16-3\\\\3k=24\\\\k=8](https://tex.z-dn.net/?f=2%28k-8%29%2B3%28-k%2B1%29%3D-4k%2B11%5C%5C%5C%5C2k-16-3k%2B3%3D-4k%2B11%5C%5C%5C%5C2k-3k%2B4k%3D11%2B16-3%5C%5C%5C%5C3k%3D24%5C%5C%5C%5Ck%3D8)
Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:
![15x^2-8x+1=0\\\\x_{1,2}=\frac{-(-8)\pm \sqrt{(-8)^2-4(15)(1)}}{2(15)}\\\\x_{1,2}=\frac{8\pm 2}{30}\\\\x_1=\frac{1}{5}\\\\x_2=\frac{1}{3}](https://tex.z-dn.net/?f=15x%5E2-8x%2B1%3D0%5C%5C%5C%5Cx_%7B1%2C2%7D%3D%5Cfrac%7B-%28-8%29%5Cpm%20%5Csqrt%7B%28-8%29%5E2-4%2815%29%281%29%7D%7D%7B2%2815%29%7D%5C%5C%5C%5Cx_%7B1%2C2%7D%3D%5Cfrac%7B8%5Cpm%202%7D%7B30%7D%5C%5C%5C%5Cx_1%3D%5Cfrac%7B1%7D%7B5%7D%5C%5C%5C%5Cx_2%3D%5Cfrac%7B1%7D%7B3%7D)
Then, the roots of the equation (1) are
D) 1/5 e 1/3
The area of a rectangle is length times width. Since a square's length is equal to its width, a square's area is equal to the length of one side times itself. So, reversed, the square root of the square's area gives the length of one side. In this case, the square root of 36 square centimeters is 6 centimeters. Again, since all four sides of a square are the same, its perimeter is equal to the length of one side times four. For a square with one side equal to 6 centimeters, the perimeter equals 24 centimeters.