Answer:
$12,060
Step-by-step explanation:
LET selling price be rep by x
since he made a profit of 12%, we then add to 100%
100% + 12% = 112%.
to find the selling price, we multiply cost price by 112%
112% x $10768 =
112 / 100 x $10,768
= 1.12 x $10,768 = 12,060
selling price = $12,060.
Answer:
x = 14
Step-by-step explanation:
The angles with the measures (x+12) and (3x-16) are vertical, which makes their measures equal.
x+12 = 3x-16
On both sides, subtract 3x and subtract 12 to get this.
-2x = -28
Divide by -2.
x = 14
![\boxed{f(x)+g(x)=\frac{1}{x}-x-\frac{23}{6}}](https://tex.z-dn.net/?f=%5Cboxed%7Bf%28x%29%2Bg%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D-x-%5Cfrac%7B23%7D%7B6%7D%7D)
<h2>
Explanation:</h2>
We are given two functions:
![f(x)=\frac{1}{4}x-4 \\ \\ g(x)=\frac{1}{6}-x](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B4%7Dx-4%20%5C%5C%20%5C%5C%20g%28x%29%3D%5Cfrac%7B1%7D%7B6%7D-x)
So, we have to find
which is the sum of these two functions:
![f(x)+g(x)=\frac{1}{x}-4+\frac{1}{6}-x \\ \\ \\ Let's \ call \ h(x)=f(x)+g(x) \\ \\ Simplifying: \\ \\ h(x)=\left(\frac{1}{x}-x)+(-4+\frac{1}{6}) \\ \\ \\ \\](https://tex.z-dn.net/?f=f%28x%29%2Bg%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D-4%2B%5Cfrac%7B1%7D%7B6%7D-x%20%5C%5C%20%5C%5C%20%5C%5C%20Let%27s%20%5C%20call%20%5C%20h%28x%29%3Df%28x%29%2Bg%28x%29%20%5C%5C%20%5C%5C%20Simplifying%3A%20%5C%5C%20%5C%5C%20h%28x%29%3D%5Cleft%28%5Cfrac%7B1%7D%7Bx%7D-x%29%2B%28-4%2B%5Cfrac%7B1%7D%7B6%7D%29%20%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C)
![Finally: \\ \\ \boxed{f(x)+g(x)=\frac{1}{x}-x-\frac{23}{6}}](https://tex.z-dn.net/?f=Finally%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7Bf%28x%29%2Bg%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D-x-%5Cfrac%7B23%7D%7B6%7D%7D)
<h2>Learn more:</h2>
Shifting graphs: brainly.com/question/10010217
#LearnWithBrainly
Answer:
D=97
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Solve for m by simplifying both sides of the equation, then isolating the variable.
m = 66