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lubasha [3.4K]
3 years ago
7

Which is true about the solution to the system of inequalities shown?

Mathematics
1 answer:
vivado [14]3 years ago
3 0

Answer:

All values that satisfy y ≤ 1x/3 - 3 are solutions  (option 2)

Step-by-step explanation:

the values satisfying y ≤ x/3 - 3 (red area) are a subset of those satisfying

y ≤ x/3 - 1 (blue plus red area) and therefore satisfy both inequalities.

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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.

<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

8 0
2 years ago
Solve for x<br> ax +3b=5c
ipn [44]

Answer:

x=(5c-3b)/a

Step-by-step explanation:

ax+3b=5c

or,ax=5c-3b

x=(5c-3b)/a

8 0
3 years ago
I need help what is 1/3x-3?​
lilavasa [31]

Answer:

\frac{1}{3}x-3=\frac{x}{3}-3

Step-by-step explanation:

\frac{1}{3}x-3\\\\\frac{1}{3}x = \frac{x}{3}  \\\\Find\:L.C.M.\\\\=\frac{x}{3}-3

8 0
3 years ago
Lia has $24. Lia and her brother together have a total of $45. The solution of the equation 24 + x = 45 is the amount of money,
Julli [10]

Answer:

21$

Step-by-step explanation:

24+x=45

-24      -24

x=21$

6 0
3 years ago
Read 2 more answers
HELP!
Readme [11.4K]

Answer: You have a better chance if you do not replace the red marble.

Step-by-step explanation:

The bag has:

5 red marbles

8 blue marbles

4 yellow marbles

3 green marbles

A total of 5 + 8 + 4 + 3 = 20

You want to draw a red marble and then a blue marble.

The probability of drawing a red marble in your first attempt is the number of red marbles divided the total number of marbles:

P1 = 5/20  

now you want to draw a blue marble.

If you replace the red marble, you have 20 marbles again in the bag, then the probability of drawing a blue marble is:

P2 = 8/20

The joint probability is P = P1*P2 = (5/20)*(8/20) = 0.1

If you do not replace the red marble, you have 19 total marbles in the bag, then the probability of taking a blue marble is:

P2 = 8/19

The joint probability is:

P = P1*P2 = (5/20)*(8/19) = 0.105

The probability is slightly bigger if you do not replace the red marble.

7 0
3 years ago
Read 2 more answers
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