Answer:
x=1
Step-by-step explanation:
To solve for x, we need to get x alone on one side of the equation.
Add one to each side of the equation. Subtract 8x from each side of the equation. Divide both sides by -7. You should get 1 as the answer.

Answer: The manager sold the book shelf at $235.2
Step-by-step explanation:
Since we have given that
Wholesale price of the book shelf = $147.00
But Gabriela's Furniture Store marks up all furniture by 60%.
So, Mark up value is given by

So, the new price that the manager sold the book shelf is given by

Hence, the manager sold the book shelf at $235.2
You can draw a right triangle with the informatio.
The vertical change in elevation (unknown) is the opposed leg to the angle 15°
The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.
Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles
Answer: 1.61 miles
Answer:
18
Step-by-step explanation:
Point slope form follows the equation y-y₁=m(x-x₁), so we want it to look like that. Starting off with m, or the slope, we can find this using your two points with the formula

. Note that y₁ and x₁ are from the same point, but it does not matter which point you designate to be point 1 and point 2. Thus, we can plug our numbers in - the x value comes first in the equation, and the y value comes second, so we have

as our slope. Keeping in mind that it does not matter which point is point 1 and which point is point 2, we go back to y-y₁=m(x-x₁) and plug a point in (I'll be using (10,5)). Note that x₁, m, and y₁ need to be plugged in, but x and y stay that way so that you can plug x or y values into the formula to find where exactly it is on the line. Thus, we have our point slope equation to be

Feel free to ask further questions!