Answer:
A
Step-by-step explanation:
because for each 6 you have 2
Answer:
The length will be 5 feet, width will be 4 feet.
Step-by-step explanation:
Given:
volume of the box = 40 ft^3
Length of the box = (2x-1)ft
Width of the box = (3x-5)ft
Height of the box = 2ft,
To Find:
The length and width of the box = ?
Solution:
We know that,
![\text{volume of the box} = Length \times breadth \times height](https://tex.z-dn.net/?f=%5Ctext%7Bvolume%20of%20the%20box%7D%20%3D%20Length%20%5Ctimes%20breadth%20%5Ctimes%20height)
![40= (2x-1) \times (3x-5) \times 2](https://tex.z-dn.net/?f=40%3D%20%282x-1%29%20%5Ctimes%20%20%283x-5%29%20%5Ctimes%202)
![40 = (2x-1) \times(6x-10)](https://tex.z-dn.net/?f=40%20%20%3D%20%282x-1%29%20%5Ctimes%286x-10%29)
![40 = 12x^2 - 20x - 6x +10](https://tex.z-dn.net/?f=40%20%3D%2012x%5E2%20-%2020x%20-%206x%20%2B10)
![40 = 12x^2 - 26x +10](https://tex.z-dn.net/?f=40%20%3D%2012x%5E2%20-%2026x%20%2B10)
![12x^2 - 26x +10-40 = 0](https://tex.z-dn.net/?f=12x%5E2%20-%2026x%20%2B10-40%20%20%3D%200)
-----------------------(1)
Solving eq(1) by quadratic equation formula
![x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Substituting the values
![x = \frac{-(-26) \pm \sqrt{(-26)^2-4(12)(-30)}}{2(12)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-26%29%20%5Cpm%20%5Csqrt%7B%28-26%29%5E2-4%2812%29%28-30%29%7D%7D%7B2%2812%29%7D)
![x = \frac{26 \pm \sqrt{676 -4(-360)}}{24}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B26%20%5Cpm%20%5Csqrt%7B676%20-4%28-360%29%7D%7D%7B24%7D)
![x = \frac{26 \pm \sqrt{2116}}{24}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B26%20%5Cpm%20%5Csqrt%7B2116%7D%7D%7B24%7D)
![x = \frac{26 \pm 46}{24}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B26%20%5Cpm%2046%7D%7B24%7D)
![x = \frac{26-46}{24}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B26-46%7D%7B24%7D)
![x = \frac{-20}{24}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-20%7D%7B24%7D)
x = 3 x =-0.833
Neglecting the negative value,
we have x = 3
Then the length will be
(2(3)-1) = (6-1) =5 ft
The Width will be
(3(3)-5) = (9-5) = 4 ft
Answer:
You will need 1 cup of sugar
Step-by-step explanation:
1/3*3/1=3/3=1
2. A
3. False
4.False
5. D
6. 18