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Rudiy27
1 year ago
5

What is the least amount of integers you must pick in order to be sure that at least two of them have the same remainder when di

vided by 15
Mathematics
1 answer:
LiRa [457]1 year ago
4 0

There are exactly 15 remainders modulo 15 and they are 0,1,2,…,14.

It is given that at least two of them should have the same remainder when divided by 15.

Division algorithm.

Let aa be an integer and d a positive integer. Then there are unique integers q and r with 0\leq r < d such that a=dq+r

q is called the quotient and r is called the remainder

q=a div d

r=a mod d

Pigeonhole principle If k is a positive integer and k+1or more objects are placed into k boxes, then there is at least one box containing two or more objects.

Hence, there are exactly 15 remainders modulo 15 and they are 0,1,2,…,14.

Learn more about integers here: brainly.com/question/20521181

#SPJ4

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Please help. Approximately how many cubic feet of water does she need?
maria [59]

Answer:

The amount of water she needs to pump in:

V = Base area x Height x 1/2 = (4/2)^2 x pi x 0.75 x 1/2 = 1.5pi = ~4.7 (ft3)

=> Option D is correct.

Hope this helps!

:)

3 0
3 years ago
A above ground garden is rectangular and has a length of 15 feet and a height of 2 feet. It will hold 375 cubic feet of soil. Wh
Fittoniya [83]

Answer: 12.5\ ft

Step-by-step explanation:

Given

Length L=15 feet

width b=2 feet

Volume V=375 cubic feet

Suppose h is the height

Volume is given by V=l\times b\times h

\Rightarrow 375=15\times 2\times h\\\Rightarrow h=\frac{375}{30}=12.5\ ft

4 0
3 years ago
Figure out this missing number pattern:\<br> 1,1,2,3,5_,_,_
Mamont248 [21]
What you have here is the fibonacci sequence. 
Each number in the sequence adds itself to the number before it.
1+1 = 2
1+2 = 3
3+2 = 5
5+3 = 8
8+5 = 13
the sequence is 0,1,1,2,3,5,8,13
8 0
2 years ago
Which set of ordered pairs represents a function?
KATRIN_1 [288]

Answer:

{(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)}

Step-by-step explanation:

Any relation having repetitive x-coordinates, is NOT a function.

3 0
2 years ago
Two equations are given below: a – 3b = 9 a = b – 3 What is the solution to the set of equations in the form (a, b)?
Vilka [71]
A-3b=9
a=b-3

b-3-3b=9
-2b-3=9
-2b=12
2b=-12
b=-6

a=-6-3
a=-9

Solution: (-9,-6)
----
Check: 
-9=-6-3
-9=-9
TRUE


7 0
3 years ago
Read 2 more answers
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