A group of friends are splitting a 40 pound bag of rice evenly if there are 6 roommates in all how many pounds of rice should ea
ch person get answer as a fraction
2 answers:
Answer:
![\[6\frac{2}{3}\]](https://tex.z-dn.net/?f=%5C%5B6%5Cfrac%7B2%7D%7B3%7D%5C%5D)
Step-by-step explanation:
Weight of the rice bag = 40 pounds
Total number of roommates among whom the rice bag is split = 6
So the share of each person is given by ![\[\frac{40}{6}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B40%7D%7B6%7D%5C%5D)
= ![\[\frac{20}{3}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B20%7D%7B3%7D%5C%5D)
= ![\[6\frac{2}{3}\]](https://tex.z-dn.net/?f=%5C%5B6%5Cfrac%7B2%7D%7B3%7D%5C%5D)
So each of the roommates will get
pounds of rice.
Verification:
Multiplying this value by 6:
![\[\frac{20}{3} * 6\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B20%7D%7B3%7D%20%2A%206%5C%5D)
= 40
<h2>
6 2/3 pounds per roommate</h2>
<h3>
Step-by-step explanation:</h3>
When you have a number of food, 40, and people, 6, it's telling you to divide both numbers.
40 / 6 = 6 2/3 pounds.
Therefore, each roommate gets 6 2/3 pounds of rice per roommate.
Best of Luck to you!
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900
i think, don't know if right
Solve the system of equations
using Cramer’s Rule.
1. Find the determinants:
![\Delta_x=\left|\begin{array}{cc}3 & -1\\-24 & -2\end{array}\right|=3\cdot (-2)-(-1)\cdot (-24)=-6-24=-30.](https://tex.z-dn.net/?f=%5CDelta_x%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D3%20%26%20-1%5C%5C-24%20%26%20-2%5Cend%7Barray%7D%5Cright%7C%3D3%5Ccdot%20%28-2%29-%28-1%29%5Ccdot%20%28-24%29%3D-6-24%3D-30.)
![\Delta_y=\left|\begin{array}{cc}10 & 3\\5 & -24\end{array}\right|=10\cdot (-24)-3\cdot 5=-240-15=-255.](https://tex.z-dn.net/?f=%5CDelta_y%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D10%20%26%203%5C%5C5%20%26%20-24%5Cend%7Barray%7D%5Cright%7C%3D10%5Ccdot%20%28-24%29-3%5Ccdot%205%3D-240-15%3D-255.)
2. Now find unknown variables:
![x=\dfrac{\Delta_x}{\Delta}=\dfrac{-30}{-15}=2,\\ \\y=\dfrac{\Delta_y}{\Delta}=\dfrac{-255}{-15}=17.](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B%5CDelta_x%7D%7B%5CDelta%7D%3D%5Cdfrac%7B-30%7D%7B-15%7D%3D2%2C%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B%5CDelta_y%7D%7B%5CDelta%7D%3D%5Cdfrac%7B-255%7D%7B-15%7D%3D17.)
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The answers are 45° and 135° respectively
Answer:
-7
Step-by-step explanation:
hello :
the common difference is : -8-(-1)=-1-6=6-13=-7
I think it’s most likely the second :)