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
mel-nik [20]
4 years ago
6

When the positive integer n is divided by 7, the remainder is 2. What is the remainder when 5n is divided by 7?

Mathematics
1 answer:
ser-zykov [4K]4 years ago
6 0

Therefore the reminder is 3 when 5n is divided by 7.

Step-by-step explanation:

we know that

Dividend = quotient × Divisor +Reminder

⇔ n = Q(n) × 7 + 2          [ let Q(n)  is quotient]

multiplying by 5 both sides

5n = 5 Q(n) ×7 + 2×5

⇔5n = 5 Q(n) ×7 +10

⇔5n=  5 Q(n) ×7 +7 +3

⇔ 5n = (5Q(n) +1) × 7 +3

Therefore the reminder is 3 when 5n is divided by 7.

You might be interested in
John deposited $2860 in a bank that pays 9% interest, compounded monthly. Find the amount he will have at the end of 3 years.
Verdich [7]
All you got to do first is:

Change the 9% to decimal, which is .9
and then multiply all numbers
 
$2860 x .9 x3 is $7,722

Hope this helps! (Hope im right)
3 0
3 years ago
A negative number divided by a positive number will yield a<br>number.​
forsale [732]

Answer: negative Number

Step-by-step explanation:

5 0
4 years ago
How many and what type of solutions does the equation have?
Natali [406]
Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0

As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81

Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2

So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2

A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.

3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.

So 2k^2 = 9 + 3k have two rational solutions (Option B).

Hope this Helps! :)
7 0
3 years ago
Read 2 more answers
???????????????????help
Simora [160]

Answer: 10

Step-by-step explanation:

add 2.75 to 0

4 0
3 years ago
Read 2 more answers
Please help!<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4.2%7D%7B7%5Cfrac%7B5%7D%7B7%7D%20%7D%20%3D%20%20%5Cfrac%7B3%5C
emmasim [6.3K]

Answer:

d = 40/7

Step-by-step explanation:

Solve for d:

0.544444 = 28/(9 d)

0.544444 = 49/90:

49/90 = 28/(9 d)

49/90 = 28/(9 d) is equivalent to 28/(9 d) = 49/90:

28/(9 d) = 49/90

Take the reciprocal of both sides:

(9 d)/28 = 90/49

Multiply both sides by 28/9:

Answer:  d = 40/7

5 0
3 years ago
Other questions:
  • If y varies inversely as x^2 and y = 3 when x = 18, what is y when x = 3?
    11·2 answers
  • Rylee earns $5,4000 in her first year of teaching and earns a 3% increase in each successive year. Write a geometric series form
    14·1 answer
  • Solve the equation x= [2/5] to the 3 power
    12·2 answers
  • Determine the unknown side of the similar triangle
    10·2 answers
  • Please I want help I want a correct answer
    7·1 answer
  • 2<br> 3<br> 4<br> 5<br> Simplify.<br> (-v2+3v – 7) + (402+5v+6)
    5·1 answer
  • I need help with this question ASAP
    10·2 answers
  • Please help i will give brainly to answer that helps
    6·1 answer
  • Answer ASAP 20 points for it<br><br> Type the correct expression for The product of 4 and a number t
    13·2 answers
  • A committee must be formed with 3 teachers and 3 students. If there are 10 teachers
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!