Answer:
B
Step-by-step explanation:
x − 3 − 2(6 − 2x) = 2(2x − 5)
Answer:
A. $ 58.50
B. $ 80
C. No, it did not mark up 30%.
Step-by-step explanation:
Since,
![\text{Mark up percentage}=\frac{\text{Store price-Actual price}}{\text{Actual price}}\times 100](https://tex.z-dn.net/?f=%5Ctext%7BMark%20up%20percentage%7D%3D%5Cfrac%7B%5Ctext%7BStore%20price-Actual%20price%7D%7D%7B%5Ctext%7BActual%20price%7D%7D%5Ctimes%20100)
A. We have,
Mark up percentage = 30%
Actual price = $ 45,
![\implies 30=\frac{SP - 45}{45}\times 100](https://tex.z-dn.net/?f=%5Cimplies%2030%3D%5Cfrac%7BSP%20-%2045%7D%7B45%7D%5Ctimes%20100)
![30\times 45 = 100SP - 4500](https://tex.z-dn.net/?f=30%5Ctimes%2045%20%3D%20100SP%20-%204500)
![1350=100SP - 4500](https://tex.z-dn.net/?f=1350%3D100SP%20-%204500)
![5850 = 100SP](https://tex.z-dn.net/?f=5850%20%3D%20100SP)
![\implies SP = \$ 58.50](https://tex.z-dn.net/?f=%5Cimplies%20SP%20%3D%20%5C%24%2058.50)
B. We have,
SP = $ 104,
![\implies 30=\frac{104-AP}{AP}\times 100](https://tex.z-dn.net/?f=%5Cimplies%2030%3D%5Cfrac%7B104-AP%7D%7BAP%7D%5Ctimes%20100)
![30AP = 10400 - 100AP](https://tex.z-dn.net/?f=30AP%20%3D%2010400%20-%20100AP)
![130AP=10400](https://tex.z-dn.net/?f=130AP%3D10400)
![AP=\$ 80](https://tex.z-dn.net/?f=AP%3D%5C%24%2080)
C. We have,
AP = $ 75,
SP = $100,
Thus, mark up percentage = ![\frac{100-75}{75}\times 100](https://tex.z-dn.net/?f=%5Cfrac%7B100-75%7D%7B75%7D%5Ctimes%20100)
![=\frac{25}{75}\times 100](https://tex.z-dn.net/?f=%3D%5Cfrac%7B25%7D%7B75%7D%5Ctimes%20100)
![=\frac{1}{3}\times 100](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20100)
= 33.33 %
Hence, store did not mark up the price by 30%.
Answer:
18.8
Step-by-step explanation:
You just add the two lengths and then do pythagorean theory to get the length of the hypotenuse. Then you add them all together to get 18.8. Hope this helps.
Answer:
g^-1(x) = (x - 5)/-6
Step-by-step explanation:
g^-1(x) refers to an inverse function. To find any inverse function, we must replace g(x) with x and x with g(x). We can then solve for the new g(x) and that would be the composite function.
g(x) = -6x + 5 ------> Swap x and g(x)
x = -6g(x) + 5 -----> Subtract 5 from both sides
x - 5 = -6g(x) ------> Divide by -6
(x - 5)/-6 = g(x)