Answer:
11 13 15 17 19
Step-by-step explanation:
We will solve this word problem using 2k+1 which is one of the general forms of an odd integer.
Let 2k+1 be the first odd integer.
(2k+1) + (2k+3) + (2k +5) = (2k+7) + (2k +9) + 3 (the +3 is to accommodate for the left side being 3 more than the right)
Solve for k
6k + 9 = 4k + 19
6k - 4k + 9 = 4k-4k + 19
2k + 9 = 19
2k + 9 - 9 = 19 - 9
2k = 10
2k/2 = 10/2
k = 5
To get the first digit in the series plug in 5 for k
2k+1
2(5) + 1
10 + 1 = 11
So our series is 11, 13, 15, 17, 19
Let's test it.
11 + 13 +15 = 39
17 + 19 = 36
So we are correct, the first 3 integers are 3 more that the sum of the last 2.
You forgot to add a picture
The number of ways which he can choose 5 courses if more than 3 must be humanities is; 8 ways.
<h3>Combination of outcomes</h3>
According to the question;
- He can choose 4 humanities courses and 8 science courses.
If the condition requires that he chooses more than 3 humanities courses, it follows that;
- He can only choose all four humanities courses and only 1 of all science courses.
On this note, the number of ways he can choose the required 5 courses is; 8 ways.
Read more on combination and selection;
brainly.com/question/4658834
Answer:
3. True, wall clouds are good indicators that a tornado could form
Step-by-step explanation:
Answer:
C and D are correct in my calculations, I'm confused.. ;w;
Step-by-step explanation:
4x + 9 + 79 - x + y = 180
4x - x + y + 79 + 9 = 180
3x + y + 88 = 180
3x + y = 180 - 88
3x + y = 92
y = 92 - 3x
A.) x = 64, y = 50
y = 92 - 3x
(50) = 92 - 3(64)
50 = 92 - 192
50 ≠ - 100
B.) x = 14, y = 152
y = 92 - 3x
(152) = 92 - 3(14)
152 = 92 - 42
152 ≠ 50
C.) x = 23.3, y = 22.1
y = 92 - 3x
(22.1) = 92 - 3(23.3)
22.1 = 92 - 69.9
22.1 = 22.1
D.) x = 14, y = 50
y = 92 - 3x
(50) = 92 - 3(14)
50 = 92 - 42
50 = 50