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Fed [463]
2 years ago
15

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.

The number after 55 is 34 + 55 = 89. A Fibonacci game cube has a different Fibonacci number on each face selected from the set {1, 2, 3, 5, 8, 13}. One red and one blue Fibonacci game cube are tossed together. How many of the 36 possible outcomes show a pair of numbers on the tops of the cubes whose sum is also a Fibonacci number?
Mathematics
1 answer:
adelina 88 [10]2 years ago
8 0

By counting the combinations, we will see that there are 10 combinations such that the sum gives a Fibonacci number.

<h3>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

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motikmotik

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7 0
3 years ago
A paint shop stocks 1800 liters of paint 24% of the paint is white. The shops sells 18% of the white paint and 7% of the rest of
Anuta_ua [19.1K]

Answer:The amount of paint that was sold altogether is 173.36 litres

Step-by-step explanation:

The total amount of paint that the paint shop stocks is 1800 litres.

24% of the paint is white. It means that the amount of white paint would be

24/100 × 1800 = 0.24 × 1800 = 432 litres.

The amount of the remaining paint other than white would be

1800 - 432 = 1368 litres

The shops sells 18% of the white paint. This means that the amount of white paint sold by the shop will be

18/100 × 432 = 0.18 × 432 = 77.6 litres.

The shops sells 7% of the rest of the paint.

This means that the amount of the rest paint sold by the shop will be

7/100 × 1368 = 0.07 × 1368 = 95.76 litres.

The amount of paint that was sold altogether would be

77.6 + 95.76 = 173.36 litres

5 0
3 years ago
Alysha’s average speed when walking home from the market was 5 mph, and it takes her 21 minutes longer than when she drives to t
Delicious77 [7]

9514 1404 393

Answer:

  3 minutes

Step-by-step explanation:

Let x represent Alysha's time to drive home from the market.

Speed and time are inversely proportional to each other (for the same distance), so we have ...

  (walking speed)(walking time) = (driving speed)(driving time)

  5(x +21) = (8·5)(x)

  x +21 = 8x . . . . . . . . . divide by 5

  21 = 7x . . . . . . . . subtract x

  3 = x . . . . . . .divide by 7

It takes Alysha 3 minutes to drive home from the market.

3 0
3 years ago
Hello can you please help me with this question
rusak2 [61]

Answer:

A

Step-by-step explanation:

...

4 0
2 years ago
Read 2 more answers
-17+ 1/4 x + 1/4 x + 31 = 24
wlad13 [49]
<h2><u>Answer:</u></h2><h2><u></u>\boxed{x=20}<u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Combine like terms:</h3>
  • \frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x

<em>  - We do this because we need 1 Number/Variable left over. </em>

<u>Equation at the end of Step 1:</u>

  • <u />-17+\frac{1}{2}x+31=24<u />

<em />

<h3>2.) Add −17 and 31:</h3>
  • -17+31=14

<em>  - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>

<u>Equation at the end of Step 2:</u>

  • <u />14+\frac{1}{2}x=24<u />

<h3>3.) Subtract 14 from both sides:</h3>
  • 14-14= Cancels Out
  • 24-14=10

<em>  - We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.</em>

<u>Equation at the end of Step 3:</u>

  • <u />\frac{1}{2}x=10<u />

<h3>4.) Multiply both sides by 2:</h3>
  • <em />\frac{1}{2}x<em> </em>× 2=x<em />
  • <em />10<em> </em>× 2=20

<em>  - We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2. </em>

<em></em>

______________________________

4 0
3 years ago
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