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-BARSIC- [3]
3 years ago
11

An example of consecutive odd integers is 23, 25, 27, and 29. Find four consecutive odd integers with a sum of 160. Show your wo

rk. After completing the problem, write out the steps, in words, that you used to solve the problem??????????????? Please tell me the steps to so I can understand please.
Mathematics
1 answer:
Andrew [12]3 years ago
8 0
Step1: Define an odd integer.
Define the first odd integer as (2n + 1), for n = 0,1,2, ...,
Note that n is an integer that takes values 0,1,2, and so no.

Step 2: Create four consecutive odd integers.
Multiplying n by 2 guarantees that 2n will be zero or an even number.
Therefore (2n + 1) is guaranteed to be an odd number.
By adding 2 to the odd integer (2n+1), the next number (2n+3) will also be an odd integer.

Let the four consecutive odd integers be
2n+1, 2n +3, 2n +5, 2n +7 

Step 3: require that the four consecutive integers sum to 160.
Because the sum of the four consecutive odd integers is 160, therefore
2n+1 + 2n+3 + 2n+5 + 2n +7 = 160
8n + 16 = 160
8n = 144
n = 18

Because 2n = 36, the four consecutive odd integers are 37, 39, 41, 43.

Answer: 37,39,41,43

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Now, do 10/10-1/10=9/10.
After do 2-4=-2.
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4 0
3 years ago
Juan owns 7 pairs of pants, 3 shirts, 5 ties, and 6 jackets. How many different outfits can he wear to school if he must wear on
ZanzabumX [31]

To solve this problem, just use multiplication.

7\text{ pairs of pants}*3\text{ shirts}*5\text{ ties}*6\text{ jackets}=\large\boxed{630\text{ outfits}}

You can somewhat think of this situation as a sort of tree. You start with 7 large branches representing the pants, then for every one of those you have 3 medium-sized branches to represent the pairs of pants. Each one of those has 5 sticks for the ties, which in turn each have 6 leaves to represent the jackets and therefore a complete outfit. The solution is found by getting the total number of leaves on the tree.

8 0
2 years ago
Please help, no links please I really need help.
Lady bird [3.3K]

Answer:

C.

Step-by-step explanation:

7 0
2 years ago
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What is the value of 5 in 356,039,763
frosja888 [35]
Well, we know the last three numbers are:

3 (ones)
6 (tens)
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The next set is:

9 (thousands)
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6 (millions)
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So we know that 5 is in ten millions.



7 0
3 years ago
Given: ∆AFD, m ∠F = 90°<br> AD = 14, m ∠D = 30°<br> Find: Area of ∆AFD
djverab [1.8K]
This is a 30-60-90 special triangle. in a 30-60-90 right triangle, the shortest leg is half of the hypotenuse, and the other leg is (√3)/2 of the hypotenuse, 

so FA=(1/2)AD=7, DF=(√3)/2)*14=7√3

the area is (1/2)*7*7√3≈42.4

8 0
3 years ago
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