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Arte-miy333 [17]
2 years ago
7

Prove that for a,b,c E ℤ, if a ❘ ( ab + c ), then a I c.

Mathematics
1 answer:
zhenek [66]2 years ago
3 0

Answer:

True.

Step-by-step explanation:

Let a,b,c integers  and a | (ab+c), that is to say that there exist a integer k such that ab+c = ka. Then:

ab+c = ka

c = ka-ab

c = a(k-b). So, c is a multiple of a, that is a | c.

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If it takes 21 minutes for 5 people to paint 7 walls how many minutes does it take 3 people to paint 5 walls
RideAnS [48]

Answer:

21 minutes divided by 7 walls = 3 minutes per wall for 5 people.

Assuming each worker has the same exact productivity, one person would take 15 minutes to paint a single wall (3 minutes x 5 people to get the amount of time for 1 worker per wall).

15 minutes for one worker multiplied by 5 walls = 75 minutes for one worker.  Divide 75 minutes by 3 people = 25 minutes to paint all 5 walls with 3 people.


Step-by-step explanation:


4 0
2 years ago
Read 2 more answers
3(2y-3)=27 what is my answer
Liula [17]
Step one- distribute
6y-9=27
Step 2- subtract 9 on both sides
6y=18
Step 3 divide on both sides
Y=3
8 0
3 years ago
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(3/2^a + 1/4a^2=3/2a^3)
AleksandrR [38]

Answer:

a  =  1.0478076

Step-by-step explanation:

Mark me brainiest plz

6 0
2 years ago
suppose the income tax rate is 4% determine the amount of money remaining after paying income tax on an income of $20,000 ​
Romashka [77]

Answer:

$19200

Step-by-step explanation:

20,000*0.96=19200

4 0
3 years ago
ONLY ANSWER IF YOU KNOW THE ANSWER JUST FOR POINTS. Thank you! :)
Ksivusya [100]
Since triangle DEF = triangle JKL, m<D = m<J, m<E = m<K, m<F = m<L.
m<F = m<L = 90 degrees
m<K = m<E = 5(m<D)
but m<E + m<D = 90 degrees        [right angled triangle]
5(m<D) + m<D = 90 degrees
6(m<D) = 90 degrees
m<D = 90 / 6 = 15 degrees.
5 0
3 years ago
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