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Arlecino [84]
3 years ago
12

The larger of two number is 12 more than the smaller number.if the sum of the two numbers is 74, find the two numbers

Mathematics
1 answer:
Mars2501 [29]3 years ago
3 0
<h3><u>The value of the smaller number is 31.</u></h3><h3><u>The value of the larger number is 43.</u></h3>

y = 12 + x

y + x = 74

Since we have a value for y, we can plug it into the second equation

12 + x + x = 74

Subtract 12 from both sides.

x + x = 62

Combine like terms.

2x = 62

Divide both sides by 2.

x = 31


Now that we have a value of x, we can plug it into the original equation to get a value for y.

y = 12 + 31

y = 43

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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
Maribel deposited $1,500 in a new account at her bank. -The bank pays 4.5% annual simple interest on this account. -Maribel did
Viktor [21]

Answer:

1500+337.50 = $1,837.5

Step-by-step explanation:

You want to calculate the interest on $1500 at 4.5% interest per year after 5 year(s).

The formula we'll use for this is the simple interest formula, or:

<em> I = P x r x t</em>

Where:

P is the principal amount, $1500.00.

r is the interest rate, 4.5% per year, or in decimal form, 4.5/100=0.045.

t is the time involved, 5....year(s) time periods.

So, t is 5....year time periods.

To find the simple interest, we multiply 1500 × 0.045 × 5 to get that:

The interest is: $337.50

7 0
3 years ago
A telephone pole breaks and falls as shown. To the nearest foot, what was the original height of the pole? Please i need this as
8090 [49]
I don’t know how old this is but hopefully I’m not too late it’s 17 7+10=17 it is NOT 70 ‍♀️
7 0
3 years ago
Please help me with this equation, the values are in the file <br><br> x + B = Fx - Dx + H
Olin [163]

Answer:

x = -6

Step-by-step explanation:

B = 2

F = 6

D = 4

H = 8

x + B = Fx - Dx + H

x + 2 = 6x - 4x + 8

x + 2 = 2x + 8

-x = 6

x = -6

3 0
2 years ago
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BaLLatris [955]

Answer:

ill help

Step-by-step explanation:

4 0
3 years ago
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