When you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5. What is the least possible natural number n?

and other question

When you divide 12,650 by n , the remainder is 2. When you divide 5,800 by n the remainder is 3. What is the least possible natural number n?

Bonus If you want brainly answer these 2 other questions

n is a natural number. Find the greatest possible value of the GCD of
(2n+25) and (n+15)
Also answer
(2n+25) and (n+15)

Answers

Answer 1

Answer:

First Q: The smallest value for which n works is 11.

Second Q: Smallest here is 17.

Third Q: I don't know this one, sorry!

Fourth Q: n is -10.

Step-by-step explanation:

For the first two questions, find the smallest common factor between the two numbers (subtract the remainder).

Q1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

These two numbers share 11 and 13 in common. 11 is the smaller of these, so it is the smallest value n can work.

Q2:

Repeat the steps from Q1.

12650 - 2 = 12648; 5800 - 3 = 5797

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

These two share 17, 31, and 527 in common. 17 is the smallest of these, so it is the smallest value n can work.

Q4 (I don't know how to do Q3 yet):

2n + 25 = n + 15

Subtract n from both sides

n + 25 = 15

n = 15 - 25

Subtract 25 from 15 to get -10

n = -10

Again, I don't know how to do Question 3 yet. Sorry for the inconvenience! Anyhow I hope the rest of this was helpful!

Answer 2

The least possible natural number n is 11.

Given that, when you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5.

What is GCD?

The greatest common divisor (GCD) refers to the greatest positive integer that is a common divisor for a given set of positive integers.

Question 1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

11 and 13 are common factors. 11 is the smaller of these, so the smallest n value is 11.

Question 2:

First, subtract the remainders from the numbers

That is, 12650 - 2 = 12648; 5800 - 3 = 5797

List the factors:

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

17, 31, and 527 are common factors. 17 is the smaller of these, so the smallest n value is 17.

Therefore, the least possible natural number n is 11.

To learn more about the GCD visit:

https://brainly.com/question/27227228.

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Related Questions

Plz help and I will give brainliest

A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded 1$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.


If you put anything random as the answer I WILL report

Answers

Answer:

200 dollars

Step-by-step explanation:

Answer:

$200.

Step-by-step explanation:

$200 because if they save $120 then $80, $200.

(120+80=200.)

Hope this helps plz hit the crown :D

sorrry for not answering earlier

please help I'll give brainliest

Alice is going to invest some money for 5 years.
She can choose from two options:
Investment A: 2.7% compound interest per annum
Investment B: 2.8% simple interest per annum
Which investment should Alice choose​

Answers

Answer:

Option A

Step-by-step explanation:

Let the amount be P

Compound interest:

P*(1 + 0.027)^5 = P*1.1425 rounded

Simple interest:

P*(1 + 0.028*5) = P*1.14

Alice should choose compound interest, Option A

The local take-out pizza place sold 50 pepperoni pizzas last month. They sold 6% more pepperoni pizzas this month than last month. How many pepperoni pizzas did they sell this month? *

Answers

Answer:

53 pepperoni pizzas

Step-by-step explanation:

To find the value, multiply 50 by 1.06. This gets us 53.

Helppppp meeeee pleaseee

Answers

Letter “ E ” and letter “ F ” are the answers
Well, the answer to this question is B and F.
Also, I just want to say happy new year to you and have a fantastic rest of your day!
Also, can you please mark my answer as the brainliest answer?
Thank you!

Please Answer

Simplify each radical

Answers

the first one is 25^5( i can’t get access to the radical symbol sorry) and the second one is 14^3

Use the bar graph to find the experimental probability of the event.

The experimental probability of spinning a number less than 3 is __.


Please help, I'll give brainliest and 20 points

Answers

2 would be the lesser one

Connor downloads songs for $1.00 each. His cost is shown on the graph, along with Lanise's costs. If Connor downloads 12 songs, how much could he save if he switched to Lanise's plan?

A. $5

B. $12

C. $6

D. $1

Answers

The graph isn't included in this answer,but if he downloads 12 songs,his total will be 12 dollars spend, Assuming that Lanise's plan is cheaper than Connor's  it would have to be between A,B with a possibility of D.

PLEASE ADD GRAPH

Answer:

C. $6

Step-by-step explanation:

100 points! I will mark brainliest! Help fast! Random answers will be reported

Answers

I don’t know what you’re doing in this problem but I did the point-slope form which is
y+4=-1/5(x+2) I still don’t know what unit you’re working on if this isn’t right I’m so sorry

Answer:

ITS A TRAPEZIUM ;D(-5,2)

Step-by-step explanation:

SEE the IMAGE for Solution

HOPE it HELPS

Have a GREAT DAY

Can I pls get help ?

Answers

Answer:

Step-by-step explanation:

b is the answer

whats the area of 8ft, 6ft and 2ft?

Answers

Answer:

96

Step-by-step explanation:

8x6=48

48x2=96

I WILL GIVE YOU BRAINLY PLSS


What is the solution of x + 6 11
C. x –1

PLSS SHOW YOUR WORK PLSS

Answers

Is it 611 or is there something in between

Answer: x < -1

Step-by-step explanation:

x + 6 < 5

x + 6 = 5

x = -1

x < -1

Now try to prove its correct

A number less than -1 is -2 so we'll try that.

x + 6 < 5

(-2) + 6 < 5

4 < 5

We can tell after substituting -2 for x, that the answer is correct

Oh and I changed the less than sign to an equal sign so it's easier to solve.

Does that help?

Plz help me out it would be a help

Answers

Answer:

question 2 answer. option. a. 55

Step-by-step explanation:

diameter of semi circular window is 35 inches

the radius is 17.5

perimeter of semicircular window =pie x radius

= 22 /7 ×17.5

=55 inches

How do I graph it please help

Answers

Answer:

Desmos

Step-by-step explanation:

There is a graphing calculator called "Desmos" Look it up type the equation and it will show you

Answer:

you would graph the line at 2

Step-by-step explanation:

because adding 5 to negative three takes it up to 0 then to 2

7. Triangles CDE and RST are similar triangles. What is
the length of side CD in triangle CDE?
R
40 ft.
32 ft.
20 ft.
T
S

Answers

Answer:

CD = 25 ft

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle RST[/tex]

[tex]\therefore \frac{CD}{20}=\frac{40}{32}[/tex]

(Corresponding sides of similar triangles are in proportion)

[tex]\therefore \frac{CD}{20}=\frac{5}{4}[/tex]

[tex]\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}} [/tex]

[tex]\therefore CD = 5\times 5[/tex]

[tex]\therefore CD = 25\: ft[/tex]

Answer:

CD = 25 ft

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{RS}[/tex] = [tex]\frac{CE}{RT}[/tex] , substitute values

[tex]\frac{CD}{20}[/tex] = [tex]\frac{40}{32}[/tex]  ( cross- multiply )

32CD = 800 ( divide both sides by 32 )

CD = 25

If the price tag on a trumpet says $104, how much did the store pay for it?

Answers

Answer:

I think 1.04

Step-by-step explanation:

Round to the nearest tenth. 1.598 *

Answers

Answer:

1.6

Explanation:

1.598

Round from the nearest tenth

1.59

If the number in the hundredths place is higher then 5 then add one to the tenths place.

1.6

Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item was $48. a. How do you think Jane's friend arrived at this amount?

Answers

Answer:

The discount is $8

Step-by-step explanation:

Step one

Given data

Jane paid $40 for an item after she received a 20% discount.

Required

The initial cost of the item

Now in other to check whether Jane's friend is correct, let us solve for the initiai cost as follows

Let the initial cost be x

so

20% of 40

20/100*40

=0.2*40= $8

Therefore the discount is $8

hence the original price is

discount+ discounted sale(amount paid)

=8+40

=$48

Express the ratio in it's simplest form:

4n/n^2​

Answers

Simplify the expression.

4/n

what is the equation in slope intercept form of a line that has a slope of -1/2 and a y intercept of 6?​

Answers

Answer:

y=-1/2x + 6

Step-by-step explanation:

I can't see the picture because it is blurry but i got y=-1/2x + 6

would u like to watch naruto or boruto?

so my question won't delete im gonna put math equations also don't say answer for the equations there just examples 2x3x4x5
also u might get brainliest

Answers

Answer:

naruto

Step-by-step explanation:

65

Answer: Naruto for sure

Step-by-step explanation:  2x3x4x5= 120

Rectangle A has side lengths of 6 cm, and 3.5 cm. The side lengths of
rectangle B are proportional to the side lengths of rectangle A. What could
be the side lengths of rectangle B? *
5 cm and 2.5 cm
3 cm and 1.75 cm
12 cm and 5 cm

Answers

Answer:

3 cm and 1.75 cm

Step-by-step explanation:

the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50

Can I get some help plz thank u sm

Answers

Answer:

x = 72

hope it helps

Billy reads 75 pages of a novel in 50 minutes. At this rate, how many hours will billy spend reading the entire 350-page novel?

Answers

Answer:

8hours 45minutes

WORKING OUT

75÷50=1.5

so 1 page would take 1.5 minutes

1.51 x 350= 525 minutes

8.75 hours

how to solve proportions ​

Answers

Answer:

Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

plz help i need help

Answers

215.4 That what I got from the calculator

Answer:

215 r 12. sorry if i am wrong

Step-by-step explanation:

i think.

Help plz thx thx for the help​

Answers

Answer:

A is irrational and I believe the rest are rational

Help!!! EASY!!! HELP DUE SOON!!!

Answers

4 + 3 + 2 = 9
18/9 = 2

3 x 2 = 6

Answer = 6

answer?
i have been searching and i still have gotten one please help if you can

Answers

Answer:

7 ft/yr

Step-by-step explanation:

Answer:

7 ft/yr!

Step-by-step explanation:

What is the measure of angle F in degrees?

Answers

it has to be around 90°, if you want something exact use a protractor :) or use something with a sharp edge to see if it’s 90° hope this helps :)

A density graph for all the possible speeds between 0 mph and 320 mph is in the shape of a triangle. What is the height of the triangle?

A. 0.025
B. 0.0125
C. 0.003125
D. 0.00625​

Answers

The height of the triangle is 0.00625.The correct option is D

To solve this problem

A density graph must have an area under it equal to 1. The range of speeds in this problem, 320-0 = 320, is the base of the density graph, which is shaped like a triangle. By multiplying the base by half of the triangle's height, we can determine the density graph's area.

Let h represent the triangle's height. The triangle's area is then:

1 = (1/2)320h

calculating h:

h = 1 / (320/2) = 0.00625

Therefore, option D is appropriate because the triangle's height is 0.00625.

Learn more about multiplying here : brainly.com/question/28773316

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