what they are saying is n is 3 so 3+11=14
Step-by-step explanation:
Answer:
0.857 weeks
Step-by-step explanation:
Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...
M = 35 + 15x
A = 5 + 50x
Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money
35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides
30 = 35x ... divide both sides by 35
or 0.857 = x
Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.
*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***
Answer:
The equivalent expression to the givan expression is
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
Step-by-step explanation:
Given expression is 4th root of 324m^12 * the cubed root of 64k^9
The given expression can be written as
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D)
To find the equivalent expression to the given expression :
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D)
![=\sqrt[4]{81\times 4m^{12}}\times\sqrt[3]{16\times 4k^9}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B81%5Ctimes%204m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B16%5Ctimes%204k%5E9%7D)
![=\sqrt[4]{3\times 3\times 3\times 3\times 4m^{12}}\times\sqrt[3]{4\times 4\times 4k^9}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B3%5Ctimes%203%5Ctimes%203%5Ctimes%203%5Ctimes%204m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B4%5Ctimes%204%5Ctimes%204k%5E9%7D)
![=\sqrt[4]{3\times 3\times 3\times 3\times 4m^{12}}\times\sqrt[3]{4\times 4\times 4k^9}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B3%5Ctimes%203%5Ctimes%203%5Ctimes%203%5Ctimes%204m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B4%5Ctimes%204%5Ctimes%204k%5E9%7D)
![=(3\times \sqrt[4]{m^{12}})\times (4\times \sqrt[3]{k^9})](https://tex.z-dn.net/?f=%3D%283%5Ctimes%20%5Csqrt%5B4%5D%7Bm%5E%7B12%7D%7D%29%5Ctimes%20%284%5Ctimes%20%5Csqrt%5B3%5D%7Bk%5E9%7D%29)
![=(3\times \sqrt[4]{4m^{12}})\times (4\times \sqrt[3]{k^9})](https://tex.z-dn.net/?f=%3D%283%5Ctimes%20%5Csqrt%5B4%5D%7B4m%5E%7B12%7D%7D%29%5Ctimes%20%284%5Ctimes%20%5Csqrt%5B3%5D%7Bk%5E9%7D%29)
![=(3\times \sqrt[4]{4}\times (m^{12})^{\frac{1}{4}})\times (4\times {(k^9)^{\frac{1}{3}})](https://tex.z-dn.net/?f=%3D%283%5Ctimes%20%5Csqrt%5B4%5D%7B4%7D%5Ctimes%20%28m%5E%7B12%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%29%5Ctimes%20%284%5Ctimes%20%7B%28k%5E9%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29)
![=(3\sqrt[4]{4}\times m^{\frac{12}{4}})\times (4\times k^{\frac{9}{3}})](https://tex.z-dn.net/?f=%3D%283%5Csqrt%5B4%5D%7B4%7D%5Ctimes%20m%5E%7B%5Cfrac%7B12%7D%7B4%7D%7D%29%5Ctimes%20%284%5Ctimes%20k%5E%7B%5Cfrac%7B9%7D%7B3%7D%7D%29)
![=(3\sqrt[4]{4}\times m^3)\times (4\times k^3)](https://tex.z-dn.net/?f=%3D%283%5Csqrt%5B4%5D%7B4%7D%5Ctimes%20m%5E3%29%5Ctimes%20%284%5Ctimes%20k%5E3%29)
![=3\sqrt[4]{4}m^3.4k^3](https://tex.z-dn.net/?f=%3D3%5Csqrt%5B4%5D%7B4%7Dm%5E3.4k%5E3)
![=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
Therefore the equivalent expression to the given expression is
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
Answer: 25
Step-by-step explanation: The absolute value is the distance between a number and zero. The distance between −
25 and 0 is 25
Answer:
128
Step-by-step explanation:
Quotient means to divide. So i.e you want to work out 640÷5.
A quick trick to divide by 5 (Without a calculator) is to double the number, and the divide by 10.
so i.e we get 640x2 = 1280.
Then 1280÷10 = 128.