Answer:
StartFraction 16 over 81 EndFraction
Step-by-step explanation:
There are 4 prime numbers from 2 to 10 (2, 3, 5, 7) and 9 numbers from 2 - 10. Total possibilities: 9 * 9 = 81
Prime possibilities: 4 * 4 = 16
Therefore the answer is 16/81 or StartFraction 16 over 81 EndFraction
Answer:
x = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Equality Properties
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define Equation</u>
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 12x + 8 - 6 + 2x = 12x + 9 + 1
- Combine like terms: 14x + 2 = 12x + 10
- Subtract 12x on both sides: 2x + 2 = 10
- Subtract 2 on both sides: 2x = 8
- Divide 2 on both sides: x = 4
3) There are 12 inches in a foot, so 144/12 equals 12 feet- the distance above the floor. 12 goes into 40 about 3 times. 3 feet + 12 feet equals about 15 feet.
4) When you want to find the percentage of something, you would take the percentage and move the decimal place two spaces to the left. So 45% becomes .45. Then you would multiply that by the number of houses. .45 times 36 equals 16.2. Rounded to the nearest whole number, 16 houses display holiday lighting.
Find the difference between each term, (e.g 3,5,7,9 —> the difference is 2 so it would be 2n) and then you minus that number from the first term (3-2=1) so therefore the nth term for that sequence would be 2n + 1
