Simplifying
12x + 10 + 3 + 8x = 0
Reorder the terms:
10 + 3 + 12x + 8x = 0
Combine like terms: 10 + 3 = 13
13 + 12x + 8x = 0
Combine like terms: 12x + 8x = 20x
13 + 20x = 0
Solving
13 + 20x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + 20x = 0 + -13
Combine like terms: 13 + -13 = 0
0 + 20x = 0 + -13
20x = 0 + -13
Combine like terms: 0 + -13 = -13
20x = -13
Divide each side by '20'.
x = -0.65
Simplifying
x = -0.65
Answer:
$190.50
Step-by-step explanation:
Expected value is the sum of each possible income multiplied by its probability.
There's a 5% chance that the vendor makes $200 and loses $190 (net gain of $10).
There's a 95% chance that the vendor makes $200 and loses $0 (net gain of $200).
So the expected value is:
Exp(RS) = $10 × 0.05 + $200 × 0.95
Exp(RS) = $190.50
Answer:0.25 tons
Step-by-step explanation:
I looked it up on the internet
Mr. Mole's burrow was at an altitude of 6 meters below the ground.
Step-by-step explanation:
Step 1:
We need to determine the distance that Mr. Mole covers in a single minute.
To do that we divide the difference in values of altitude by the difference in the time periods.
For the first case, Mr. Mole had traveled -18 meters in 5 minutes.
We also have, he traveled -25.2 meters in 8 minutes.
Step 2:
The distance he covered in 1 minute 
So with every minute, Mr. Mole digs down an additional 2.4 meters below the surface.
To determine where Mr. Mole's burrow is we subtract the distance traveled in 5 minutes from -18.
The altitude of Mr. Mole's burrow 
So Mr. Mole's burrow was at an altitude of 6 meters below the ground i.e. -6 meters.
Answer:
C. 336 cm²
Step-by-step explanation:
Area formulas:
Area of a right triangle: a × b ÷ 2
Area of rectangle: length × width
-----------------------------------------------------------------------------------------------------------------
In this figure, there is a rectangle with a width of 12 and a height of 6.
; the area of the rectangle is 72 cm².
There are two right triangles with legs of 6 and 8.
There are two right triangles so..
The area of a single triangle is 24 cm²; the area of the triangles combined is 48 cm.
There is a rectangle in the middle with a width of 8 and a height of 12.
The area of the rectangle is 96 cm².
Lastly, there is a rectangle with a width of 10 and a height of 12.
The area of the rectangle is 120 cm².
Now, add the areas of every shape to find your answer.
Step-by-step explanation:
