The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … is formed by summing two consecutive numbers to get the next number.
adelina 88 [10]
By counting the combinations, we will see that there are 10 combinations such that the sum gives a Fibonacci number.
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How to count the combinations?</h3>
We have two number cubes with 6 outcomes each, such that we have a total of 36 combined outcomes.
For each dice, the outcomes are:
{1, 2, 3, 5, 8, 13}
Now, let's count the combinations that also give a Fibonacci number (these are given by adding two consecutive numbers in the sequence).
I will list each possible red outcome, then the blue outcomes that would give a Fibonacci term, and then we can count the number of combinations.
- Red Blue number of combinations.
- 1 2 1
- 2 1, 2 2
- 3 2, 3 2
- 5 3, 8 2
- 8 5, 13 2
- 13 8 1
Adding the numbers of combinations, we have:
C = 1 + 2 + 2 + 2 + 2 + 1 = 10
There are 10 combinations that give a Fubbonaci number.
If you want to learn more about combinations, you can read:
brainly.com/question/2280026
x = -21
explanation: a trick i used was just do -3 times 7 and get my answer -21. if you are unsure if the answer is right just check your work with a calculator. -21 divided by 7 is -3 so -21 is the value of x. please mark brainliest !!
Answer:
x = 3 - 3/2y
y = 2 - 2/3x
Step-by-step explanation:
2x + 3y = 6
2x = 6 - 3y
x = 3 - 3/2y
2x + 3y = 6
3y = 6 - 2x
y = 2 - 2/3x
Answer:
<u>Rs. 72</u>
Step-by-step explanation:
We have 2 values here,
- Perimeter of the rectangle = 360 cm
- Breadth of the rectangle (b) = 60 cm.
Firstly, we must find the length of the rectangle (l).
So, according to the formula,
Perimeter = 2 (b + l)
360 = 2 (60 + l)
360 = 120 + 2l
360 - 120 = 2l
240 = 2l
120 cm = l
Now, we need to find the area of the rectangular wall & then convert it from cm² to m² as the cost of painting is given in m².
So,
Area = lb
Area = 120 × 60
Area = 7,200 cm²
Let's convert it to m² now,
7200/1000
= 7.2 m²
Given, cost of painting per m² = Rs. 10
So, the cost of painting the wall is,
10 × 7.2
= <u>Rs. 72</u>
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Hope it helps!
