The bike store marks up the wholesale cost of all of the bikes they sell by 30%. Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?
Answer:
$96.15
Step-by-step explanation:
Let x be the wholesale cost of the bike.
Given:
Price tag of a bike = $125.
The bike store marks up the wholesale cost of all of the bikes they sell by 30%.
So we can find the wholesale cost of the bike by the following way.
![\frac{100+30}{100}\times x = 125](https://tex.z-dn.net/?f=%5Cfrac%7B100%2B30%7D%7B100%7D%5Ctimes%20x%20%3D%20125)
![\frac{130}{100}\times x = 125](https://tex.z-dn.net/?f=%5Cfrac%7B130%7D%7B100%7D%5Ctimes%20x%20%3D%20125)
![x=96.15](https://tex.z-dn.net/?f=x%3D96.15)
Therefore, the wholesale cost of the bike is $96.15.
Answer:
60/4 is 45 and 38 times 1.15 is 43.70 kohls is more expensive
Step-by-step explanation:
Answer: ![f=168](https://tex.z-dn.net/?f=f%3D168)
Step-by-step explanation:
In the picture, there is a multiplication problem of ![f=56\times3](https://tex.z-dn.net/?f=f%3D56%5Ctimes3)
We can use distributive property in it so that the multiplication problem become easier.
Distributive property:-![(b+c)a=ba+ca](https://tex.z-dn.net/?f=%28b%2Bc%29a%3Dba%2Bca)
In the product, the larger number is 56
Write
Now, ![f=56\times3\\\Rightarrow\ f=(50+6)3\\\Rightarrow\ f=(50)3+(6)3\\\Rightarrow\ f=150+18\\\Rightarrow\ f=168](https://tex.z-dn.net/?f=f%3D56%5Ctimes3%5C%5C%5CRightarrow%5C%20f%3D%2850%2B6%293%5C%5C%5CRightarrow%5C%20f%3D%2850%293%2B%286%293%5C%5C%5CRightarrow%5C%20f%3D150%2B18%5C%5C%5CRightarrow%5C%20f%3D168)
Given:
![\tan A=\dfrac{1}{5}](https://tex.z-dn.net/?f=%5Ctan%20A%3D%5Cdfrac%7B1%7D%7B5%7D)
![\tan B=\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Ctan%20B%3D%5Cdfrac%7B1%7D%7B4%7D)
To find:
The value of
.
Solution:
We know that,
![\tan (A-B)=\dfrac{\tan A-\tan B}{1+\tan A\tan B}](https://tex.z-dn.net/?f=%5Ctan%20%28A-B%29%3D%5Cdfrac%7B%5Ctan%20A-%5Ctan%20B%7D%7B1%2B%5Ctan%20A%5Ctan%20B%7D)
Putting the given values, we get
![\tan (A-B)=\dfrac{\dfrac{1}{5}-\dfrac{1}{4}}{1+\dfrac{1}{5}\cdot \dfrac{1}{4}}](https://tex.z-dn.net/?f=%5Ctan%20%28A-B%29%3D%5Cdfrac%7B%5Cdfrac%7B1%7D%7B5%7D-%5Cdfrac%7B1%7D%7B4%7D%7D%7B1%2B%5Cdfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cdfrac%7B1%7D%7B4%7D%7D)
![\tan (A-B)=\dfrac{\dfrac{4-5}{20}}{1+\dfrac{1}{20}}](https://tex.z-dn.net/?f=%5Ctan%20%28A-B%29%3D%5Cdfrac%7B%5Cdfrac%7B4-5%7D%7B20%7D%7D%7B1%2B%5Cdfrac%7B1%7D%7B20%7D%7D)
![\tan (A-B)=\dfrac{\dfrac{-1}{20}}{\dfrac{20+1}{20}}](https://tex.z-dn.net/?f=%5Ctan%20%28A-B%29%3D%5Cdfrac%7B%5Cdfrac%7B-1%7D%7B20%7D%7D%7B%5Cdfrac%7B20%2B1%7D%7B20%7D%7D)
![\tan (A-B)=\dfrac{-1}{21}](https://tex.z-dn.net/?f=%5Ctan%20%28A-B%29%3D%5Cdfrac%7B-1%7D%7B21%7D)
Taking square on both sides, we get
![\tan^2 (A-B)=\left( \dfrac{-1}{21}\right)^2](https://tex.z-dn.net/?f=%5Ctan%5E2%20%28A-B%29%3D%5Cleft%28%20%5Cdfrac%7B-1%7D%7B21%7D%5Cright%29%5E2)
![\tan^2 (A-B)=\dfrac{1}{441}](https://tex.z-dn.net/?f=%5Ctan%5E2%20%28A-B%29%3D%5Cdfrac%7B1%7D%7B441%7D)
Therefore, the value of
is
.
Answer:
Step-by-step explanation:
X=
or![\frac{10}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B3%7D)