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igomit [66]
3 years ago
9

Arrange the integers 1,4,8,12,17,32 so that all consecutive integers add to a perfect square. Enter your answer with numbers sep

arated by commas.​
Mathematics
1 answer:
viktelen [127]3 years ago
6 0

One possible answer is: 1, 8, 17, 32, 4, 12

I don't know if there's a methodical way to get this answer. I used trial and error. I started with 1 and looked through the list to see what adds to 1 to get a perfect square. That would be 8 since 1+8 = 9 = 3^2

The process is repeated but this time for 8. After a bit of guess and checking, we see that 8+17 = 25 = 5^2.

Then after 17 is 32 because 17+32 = 49 = 7^2.

Keep doing this until all of the values are used up. If you get stuck, then try backtracking to a previous branch/path where everything worked and try another fork in the road. If that doesn't work, then try starting the sequence with a completely different value (instead of 1).

Other answers may be possible. I haven't checked all possible permutations.

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Use the fundamental counting principle to determine the how many different outfits can be made from 4 pairs of jeans and 7 shirt
Mariana [72]

Answer:

28

Step-by-step explanation:

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3 years ago
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A man has 1020304 eggs some of the eggs were spoiled he divided remaining eggs equally among 348 people how many eggs were spoil
beks73 [17]

Answer:

316 eggs were spoiled.

Step-by-step explanation:

1020304 / 348 = 2931 remainder 316.

6 0
3 years ago
What type of number can be written as a fraction p%q where p and q aré integers and q is not equal to zero
MatroZZZ [7]
Hi there!

The correct answer is Rational Number.

\bf{EXPLANATION} :-

Rational Number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator " p " and a non-zero denominator " q ".

~ Hope it helps!
7 0
3 years ago
Solve for "c."<br> a = b/(c-d)
8_murik_8 [283]

Answer:

c=

ad+b

a

give me brilliant please

Step-by-step explanation:

a=

b

c−d

Step 1: Multiply both sides by c-d.

ac−ad=b

Step 2: Add ad to both sides.

ac−ad+ad=b+ad

ac=ad+b

Step 3: Divide both sides by a.

ac

a

=

ad+b

a

c=

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6 0
3 years ago
A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t
Rashid [163]

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\cdot (n-k)!}

Compute the number of ways to select 37 people from 101 as follows:

{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}

        =\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

5 0
3 years ago
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