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DochEvi [55]
3 years ago
7

There are many numbers that divide 109 with a remainder of 4. List all two-digit numbers that have that property.

Mathematics
2 answers:
SVEN [57.7K]3 years ago
8 0
All 2 digit numbers that are factors of 105 (109-4):

15
21
35
VMariaS [17]3 years ago
8 0
I agree with him or her
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1. (10pts] Let A = {1, 2, 3, 4, 5}, let B = {1,4,5,7,8,9}, and let C = {2, 4, 6, 7,9}. Determine each of the following (a) An Bn
alisha [4.7K]

Answer and explanation:

Given : Let A = {1, 2, 3, 4, 5}, let B = {1,4,5,7,8,9}, and let C = {2, 4, 6, 7,9}.

To find : Determine each of the following,

a) (A\cap B)\cap C

b) (A\cup B)\cap (A\cup C)

c) A - (B\cup C)

d) (A-C) (C-A)

Solution :

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets.

The intersection of two sets is a new set that contains all of the elements that are in both sets.

a) (A\cap B)\cap C

A\cap B=\{1,4,5\}

Then, (A\cap B)\cap C=\{4\}

b) (A\cup B)\cap (A\cup C)

A\cup B=\{1,2,3,4,5,7,8,9\}

A\cup C=\{1,2,3,4,5,7,9\}

(A\cup B)\cap (A\cup C)=\{1,2,3,4,5,7,9\}

c) A - (B\cup C)

B\cup C=\{1,2,4,5,6,7,8,9\}

A - (B\cup C)=\{3\}

d) (A-C) (C-A)

A-C=\{1,3,5\}

C-A=\{6,7,9\}

(A-C) (C-A)=\{1,3,5\}\times\{6,7,9\}

(A-C) (C-A)=\{(1,6),(1,7),(1,9),(3,6),(3,7),(3,9),(5,6),(5,7),(5,9)\}

5 0
3 years ago
If 2452=60q+52r and q and r are positive integers what is one possible value for q+r
Alex73 [517]
The simplest solution is: 
2452 = 60q +52r 
2452 = 60q + 52(1)
2452 -52 = 60q
2400 = 60q
2400/60 =q
40 = q

r = 1: q = 40
7 0
3 years ago
18. Determine the greatest three-digit number in each of the
katen-ka-za [31]

If you're asking about the largest number that can be written with 3 digits in the given base:

• In base 2, the largest number with 3 digits is

111₂ = 1•2² + 1•2¹ + 1•2⁰ = 7

• In base 12, the largest number with 3 digits is

bbb₁₂ = 11•12² + 11•12¹ + 11•12⁰ = 1727

(in base 12, a₁₂ = 10 and b₁₂ = 11)

3 0
2 years ago
Hi! Please explain how you got the answer, thanks! :) <br>​
viktelen [127]
D
p would be how many hours Colin read for and if you multiply it you would get the amount of pages they already read and you would have to subtract it from the amount of pages in total
4 0
3 years ago
3 bananas are to be selected from a group of 9. In how many ways can this be done?
Hatshy [7]
Assuming the bananas are distinct.
Then there will be 9 choices for the first, 8 for the second, and 7 for the third, for a total of 9*8*7=504 ways (order important)
3 0
3 years ago
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