Answer:
Step-by-step explanation:
First, arrange the numbers from least to greatest: 35, 60, 65, 70, 70, 70, 90, 95, 95. Then find the middle number by taking away 1 number from each side.
The middle number is 70, so the median is 70.
5 tens : 50
8 ones : 8
50 + 8 = 58
Easy peasy, lemon sqeezy.
Hello there! So, the room is $40 to rent, and it costs $12 per person. To solve this, we can write and solve an equation. Set it up like this:
40 + 12g = 100
This is because Milli has $100 to spend. $40 is the fixed cost and the $12 goes up based in the number of guests. Let’s start off by subtracting 40 from both sides. 40 - 40 cancels out. 100 - 40 is 60. That leaves us with 12g = 60. Now, divide each side by 12 to isolate the g. 12g/12 cancels our. 60/12 is 5. There. g = 5. Milli can invite 5 guests to her party.
1² + 3² + 4² + 4(n - 1)² = ¹/₃n(2n - 1)(2n + 1)
1² + 3² + 4² + (2n - 2)² = ¹/₃n(2n - 1)(2n + 1)
1 + 9 + 16 + (2n - 2)(2n - 2) = ¹/₃n(2n(2n + 1) - 1(2n + 1))
10 + 16 + (2n(2n - 2) - 2(2n - 2)) = ¹/₃n(2n(2n) + 2n(1) - 1(2n) - 1(1) 16 + (2n(2n) - 2n(2) - 2(2n) + 2(2)) = ¹/₃n(4n² + 2n - 2n - 1)
26 + (4n² - 4n - 4n + 4) = ¹/₃n(4n² - 1)
26 + (4n² - 8n + 4) = ¹/₃n(4n² - 1)
26 + 4n² - 8n + 4 = ¹/₃n(4n²) - ¹/₃n(1)
4n² - 8n + 4 + 26 = 1¹/₃n³ - ¹/₃n
4n² - 8n + 30 = 1¹/₃n³ - ¹/₃n
+ ¹/₃n + ¹/₃n
4n² - 7²/₃n + 30 = 1¹/₃n³
-1¹/₃n³ + 4n² - 7²/₃n + 30 = 0
-3(-1¹/₃n³ + 4n² - 7²/₃n + 30) = -3(0)
-3(-1¹/₃n³) - 3(4n²) - 3(-7²/₃n) - 3(30) = 0
4n³ - 12n² + 23n - 90 = 0
Answer: 9’ 9”
Step-by-step explanation:
