For 6: 12, 18, 24, 30, 36
For 9: 18, 27, 36, 45, 54
For 7: 14, 21, 28, 35, 42
Answer:
n = 11
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
- Vertical Angles: Angles that are across from each other and are congruent
Step-by-step explanation:
<u>Step 1: Set up equation</u>
<em>Vertical angles must be congruent.</em>
(6n - 4)° = (5n + 7)°
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 5n on both sides: n - 4 = 7
- Add 4 to both sides: n = 11
Mean: average of the numbers. Add them up, divide by how many numbers/entries there are.
-2 + -1 + 0 + 0 + 0 + 0 + 2 + 4 = 3
3 divided by 8 = 0.375
Your mean is 0.375
Median: write the data in numerical order, find the middle number.
-2, -1, 0, 0, 0, 0, 2, 4
In this data set, there are an even number of entries, so we average the middle two numbers. Thankfully, here, the middle two are the same, so your median is 0.
Mode: the number that appears the most often in the data set
Your mode is also 0, because there are more zeroes than any other number in the data set.
Range: the distance on a number line between the highest and lowest number.
The distance between -2 and 4 is 6.4 - (-2) = 6
Please LMK if you have questions
Answer:
- 15 - 7 (Parentheses)
- 3² (Exponents)
- 8 × 2 (Multiplication)
- 40 ÷ 8 (Division)
- 5 + 9 (Addition starting from the leftmost)
- 14 + 16 (Addition after the first addition operation)
Concept:
When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:
- <u>P</u>arentheses
- <u>E</u>xponents
- <u>M</u>ultiplication
- <u>D</u>ivision
- <u>A</u>ddition
- <u>S</u>ubtraction
Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. <u>For extra</u>, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.
Hope this helps!! :)
Please let me know if you have any questions or need further explanation
