1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VikaD [51]
3 years ago
5

Discrete Math

Mathematics
1 answer:
andrezito [222]3 years ago
3 0

Answer:

Part c: Contained within the explanation

Part b: gcd(1200,560)=80

Part a: q=-6         r=1

Step-by-step explanation:

I will start with c and work my way up:

Part c:

Proof:

We want to shoe that bL=a+c for some integer L given:

bM=a for some integer M and bK=c for some integer K.

If a=bM and c=bK,

then a+c=bM+bK.

a+c=bM+bK

a+c=b(M+K) by factoring using distributive property

Now we have what we wanted to prove since integers are closed under addition.  M+K is an integer since M and K are integers.

So L=M+K in bL=a+c.

We have shown b|(a+c) given b|a and b|c.

//

Part b:

We are going to use Euclidean's Algorithm.

Start with bigger number and see how much smaller number goes into it:

1200=2(560)+80

560=80(7)

This implies the remainder before the remainder is 0 is the greatest common factor of 1200 and 560. So the greatest common factor of 1200 and 560 is 80.

Part a:

Find q and r such that:

-65=q(11)+r

We want to find q and r such that they satisfy the division algorithm.

r is suppose to be a positive integer less than 11.

So q=-6 gives:

-65=(-6)(11)+r

-65=-66+r

So r=1 since r=-65+66.

So q=-6 while r=1.

You might be interested in
determine any data values that are missing from the table assuming that the data represent a linear function
IRISSAK [1]

Answer:

I think D

Step-by-step explanation:

I hope it's right and I hope you mark me brainlist

8 0
3 years ago
Please help im so confused lol
BARSIC [14]

Answer:

1. Percent

2. Number

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The sum of two numbers is 25. their product is 154
kolbaska11 [484]
The two numbers are 14 and 11
7 0
3 years ago
Read 2 more answers
I need help ASAP with this
igor_vitrenko [27]

Answer:

2ITR/KVJFCIUYBDTR67E4VHJN, BHJYUG76T89O;LXCS,DVTI9R0OPE;'

Step-by-step explanation:


8 0
2 years ago
skyalr makes turkey sandwiches for a family. he purchases 5 pounds 4 ounces of sliced Turkey for $26.88.what is the unit cost pe
algol [13]

Answer:

$0.32/ounce

Step-by-step explanation:

Total cost of Turkey - $26.88

Amount Purchased - 5 pounds 4 ounces

16 ounces in a pound

5 x 16 + 4 = 84

\frac{84x}{84} = \frac{26.88}{84}

x = $0.32

7 0
2 years ago
Other questions:
  • The diagram shows the first four patterns of a sequence. Find an expression for the numbers of squares in the nth pattern of the
    14·2 answers
  • solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c
    12·2 answers
  • I need to know hoe to solve 3x-5y=9;x=1,0,1<br> i have to solve for y
    6·1 answer
  • Find the measure of an exterior angle of a regular polygon with 6 sides. Round to the nearest tenth if necessary.
    6·2 answers
  • A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. Which best describes how to determine the probab
    8·2 answers
  • 2x -4y=8 and 3x + 6y = 36
    5·1 answer
  • Through: (-3,2) and (0, -3)
    12·1 answer
  • The volume of the triangular prim is 250 cubic inches. What is the value of x
    6·1 answer
  • If d varies directly as t and d = 20.5 when t=12 find:
    12·1 answer
  • Help me guys???????????????
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!