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Vladimir79 [104]
3 years ago
7

Paul recently purchased some new clothing for work. He has 4 ties, 7

Mathematics
1 answer:
Elanso [62]3 years ago
4 0
He can make 140 different outfits
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Prove that an integer consisting of 3n ones is divisible by 3n (e.g. 111 is divisible by 3, 111,111,111 is divisible by 9, etc.)
mote1985 [20]

For proof of 3 divisibility, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

<h3>Integers divisible by 3</h3>

The proof for divisibility of 3 implies that an integer is divisible by 3 if the sum of the digits is a multiple of 3.

<h3>Proof for the divisibility</h3>

111 = 1 + 1 + 1 = 3  (the sum is multiple of 3 = 3 x 1)  (111/3 = 37)

222 = 2 + 2 + 2 = 6 (the sum is multiple of 3 = 3 x 2)  (222/3 = 74)

213 = 2 + 1 + 3 = 6 ( (the sum is multiple of 3 = 3 x 2)  (213/3 = 71)

27 = 2 + 7 = 9  (the sum is multiple of 3 = 3 x 3)  (27/3 = 9)

Thus, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

Learn more about divisibility here: brainly.com/question/9462805

#SPJ1

5 0
2 years ago
After collecting the variables on the left side of the equation, the coefficient of the x term will be?
Kipish [7]

Answer:

56

Step-by-step explanation:

3 0
2 years ago
you can perform 10 push ups in 25 seconds. write an equation that represents the relationship between time x and the number of p
vagabundo [1.1K]

Answer:

Step-by-step explanation:

(10 pushups)/(25 sec) = (⅖ pushup)/sec

Or,

(25 sec)/(10 pushups) = (2.5 sec)/pushup

6 0
2 years ago
Express 0.7723 as a fraction
solong [7]
The answer is 3697/4787
3 0
3 years ago
Read 2 more answers
Subtract the sum of a^2 − 2ab + b^2 and 2a^2 + 2ab + b^2 from the sum of a^2 − b^2 and a^2 + ab + 3b^2
solniwko [45]

Answer:

-a^2 + ab

Step-by-step explanation:

(a^2 - 2ab +b^2) + (2a^2 + 2ab + b2) = 3a^2 + 2b^2

(a^2 - b^2) + (a^2 + ab + 3b^2) = 2a^2 + 2b^2 + ab

subtract the first part from the second part:

(2a^2 + 2b^2 + ab) - (3a^2 + 2b^2) =    -a^2 + ab

5 0
2 years ago
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