Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3(x - 2) = 2(x + 1)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3x - 6 = 2x + 2
- Subtract 2x on both sides: x - 6 = 2
- Add 6 to both sides: x = 8
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(8 - 2) = 2(8 + 1)
- Subtract/Add: 3(6) = 2(9)
- Multiply: 18 = 18
Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
The answer is 12 including both sides and angles.
When you cut a square piece of paper from one point to the opposite point it should make two triangles.
Thus each triangle has 3 sides and 3 angles so two triangles has 6 angles and 6 sides
So 12, sides and angles added together.
Answer:
36
Step-by-step explanation:
Area of total region = 12 ×5
=60
Area of the small region = 8×3
=24
Area of shaded region = Area of Total region - area of small region
= 60 - 24
= 36
2/5
Since 12 out of 30 marbles were black, you can assume that the percentage of black marbles in the bag is 40% (Ex: 12/30=.4) The probability that the marble you pick is black is equal to the percentage of black marbles in the bag. 40% is equal to 2/5.
Answer:
<u>Domain:</u>
The domain of this can be any value between 0 to 565 miles per hour
<u>Range:</u>
The reasonable range can be the distance traveled which can be from 0 to 13,560 miles (no plane travel is longer than 24 hours, we assume).
Step-by-step explanation:
Domain is the input, set of x values for the function.
Range is the output, set of y values for the function.
This isn't a function essentially, but it is given that an Airplane travels at 565 miles per hour.
<em>We can say that the domain will be the speed of the airplane and the range would be the distance it travels.</em>
<em />
<u>Domain:</u>
The domain of this can be any value between 0 to 565 miles per hour
<u>Range:</u>
The reasonable range can be the distance traveled which can be from 0 to (565*24=13,560 miles) 13,560 miles (no plane travel is longer than 24 hours, we assume).