Mathematics College

in 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?​

Answers

Answer 1

Answer:

[tex]N = 6[/tex] so that number becomes divisible by 3, 6 and 9.

Step-by-step explanation:

In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that [tex]n = 154N38[/tex], then its sum of digits is:

[tex]x = 1 + 5+4+N+3+8[/tex]

[tex]x = 21+N[/tex] (Eq. 1)

We have to determine which digits corresponds to multiples of three, there are four digits:

N = 0

[tex]x = 21+0[/tex]

[tex]x = 21[/tex] ([tex]3\times 7 = 21[/tex])

N = 3

[tex]x = 21+3[/tex]

[tex]x = 24[/tex] ([tex]3\times 8 = 24[/tex])

N = 6

[tex]x = 21+6[/tex]

[tex]x = 27[/tex] ([tex]3\times 9 = 27[/tex])

N = 9

[tex]x = 21+9[/tex]

[tex]x = 30[/tex] ([tex]3\times 10 = 30[/tex])

We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:

[tex]154038 = 2\times 3\times 25673[/tex]

[tex]154338 =2\times 3\times 29 \times 887[/tex]

[tex]154638 = 2\times 3\times 3\times 11\times 11\times 71[/tex]

[tex]154938 = 2\times 3\times 7\times 7\times 17\times 31[/tex]

It is quite evident that [tex]N = 6[/tex] so that number becomes divisible by 3, 6 and 9.

Related Questions

Y’all pls help me i have to turn this tonight

Answers

What’s the rest of the information they’re giving you? Is there an equation you can look at?

PLEASE HELP!!! CONVERT TO STANDARD FORM (y=ax^2+bx+c

f(x)=2(x-3)^2+7

Answers

Answer:

y = 2x^2 - 12x + 25

Step-by-step explanation:

Given function

f(x)=2(x-3)^2+7

Converting to standard form

y = 2(x - 3)^2 + 7y = 2(x^2 - 6x + 9) + 7y = 2x^2 - 12x + 18 + 7y = 2x^2 - 12x + 25

The ratio of girls to boys in Liza’s classroom is 5 to 4.

How many girls are in her classroom if there is a total of 27 students?


A) 12
B) 9
C) 54
D) 15

Answers

Answer:

D

Step-by-step explanation:

5 girls 4 boys=9

10 girls 8 boys=18

15 girls 12 boys=27

What is the value of x that makes the equation true 2x+20=-2(4x-25)

Answers

2x + 20 = -2(4x - 25)

2x + 20 = -8x + 50

+8x          +8x

_______________

10x + 20 = 50

      -20      -20

_______________

10x = 30

__     __

10      10

x = 3

Which of the following is the point and slope of the equation y - 2 = 3/2(x - 7)?


(7, 2), 3/2


(7, 2), 3


(-7, -2), 3/2


(7, -2), 3

Answers

Point-slope form of the linear functions is like this :

[tex]y - y(point) = (slope) \times ( \: x - x(point) \: ) \\ [/tex]

[tex]y - 2 = \frac{3}{2}(x - 7) \\ [/tex]

So :

[tex]slope = \frac{3}{2} \\ [/tex]

And

Point = ( 7 , 2 )

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

A I M R T X 1 9 13 18 20 24 Using the table for clear text character codes, write the clear text matrix for MATRIX.

Answers

Answer:

Step-by-step explanation: a=13 b= 1 c=20 d=18 e=9 f=24

Answer:

a=13

b=1

c=20

d=18

e=9

f=24

Step-by-step explanation:

got it right on edg 2021

what is the difference between sixteen thousand dollars and three thousand, five hundred and fifty dollars?​

Answers

Answer: 2500

Step-by-step explanation:

Awnser; 12,450





Explanation: 16,000-3550=12,450

To find the probability of any event,

A.) add up the probabilities of the outcomes that make up the event.

B.) use the probability of the outcome that best approximates the event.

C.) assign it a random, but plausible value between 0 and 1.

D.) average together the personal probabilities of several experts.

Answers

Answer:

D

Step-by-step explanation:

I just know it plz mark me Brainlyist

What is the answer to
A
B
C

Answers

Answer:

0.6

Step-by-step explanation:

what is the solution for x in the equation
-2x+14+10x=34

A. x=6
B. x=1/8
C. x=5/2
D. x=2/5​

Answers

Answer:

C. x=5/2

Step-by-step explanation:

-2x+10x=34-14

(8x=20 ) /:8

x=5/2

Which graph represents the equation 3x+y=-1?

Answers

C. with the root being (-1/3, 0)

Answer:

The answer is c

Step-by-step explanation:

I put this into my graphing calculator to solve it. To do this by hand though you need to choose two numbers and enter then for x and that should give you the numbers the you need to plot on your graph.

Hope that help :)

start with the value of 25, double it, and then calculate the percent increase.

Answers

Answer: 100%

Step-by-step explanation:

If you start with 25 and double it you will get 50   and 25 is half of 50  so the percent increase will be 100%.  

the cost of an afternoon movie ticket last year was $5.00. this year an afternoon movie ticket costs $6.00. what is the percent increase of the ticket from last year to this year ?

a. 10%
b. 20%
c. 25%
d. 40%

Answers

1/5=0.2*100%=20%
The percentage increase is 20%

a tram moved upward 9 meters per second for 27 seconds. What was the total changge in the trams elevation.

Answers

24 meters in 8 seconds can be written as a fraction

24 meters/8 seconds

To determine how many meters in 1 second
Just divide top and bottom by 8
24/3 = 8 for the top
8/8=1 for the bottom

3 meters/1 second

i’ve never really understood range

Answers

Answer:

( -∞, 3]

Step-by-step explanation:

Range is all possible y values that the graph covers.

So in this graph the legs extend all the way to y value  -∞ (never mind the x value). However, the top is at y=3 and the graph is not extending above that. Hence the range is from  -∞ to and including 3.

Write an equation in slope-intercept form for the line that passes through (1,-2) and (3, 7)

Answers

Answer:

y=9/2x -13/2

Step-by-step explanation:

i used a calculator i hope its right

Round 0.5289 to the nearest thousandth.

Answers

Answer:

0.5289 to the nearest thousandth is 0.529.

Step-by-step explanation: If a number is less than 5, round down, but if a number is 5 or more, round up. The digit after the thousandths place is the digit we should look at to answer the question and it is 9, so we round up from 0.528 or 0.529. So, the answer is 0.529.

a) -3 is greater than -16 because it is located to the ________of -16 on the number line.(is it left or right?)




b) -16 is less than -3 because it is located to the________of -3 on the number line.(is it left or right?)​

Answers

a) right

b) left

hope this helps

Which is the equation for the line in slope-intercept form if:
m = -3/2 : b = 5
y = 5x + (-3/2)
y=(-3/2)x+ 5
Oy+(-3/2) = 5x
y-5=(-3/2)x

Answers

the answer is y=(-3/2)x+5

this is because the slope and the y intercept is included in that one in the y=mx+b format.

What is the ratio of water to drink mix?

Answers

Answer:

8:3

Step-by-step explanation:

it show that there is 8 cups of water and 3 of drink mix

Answer:

8:3

Step-by-step explanation:

yes

-3
0
-1
4
2
7
4
What is the range

Answers

Answer:

10

Step-by-step explanation:

total number count:7

Lowest #: -3

Highest #: 7

Range: 10

<3

Red

find the equation of the linear function represented by the table below in slope-intercept form. picture of table is below

Answers

Answer:

y = 3x+1

Step-by-step explanation:

Well, slope intercept form is y =mx+b, and to find the slope, you have to take two of the examples for y, and divide it by 2 examples of the x, like so:

7- (-5) / 2- (-2) which is 12/4 which is 3, so the slope is 3.

we now can make the first part of the equation:

y = 3x + b

Now we just need "b". To find b, just substitute the x and y values for two values shown on the chart, such as -2 and -5. (They have to be on the same row).

-5 = 3x-2 + b

you get:

-5 = -6+b

which is equal to:

b = 1

So, putting b back in the equation, you get:

y = 3x+1

Write an equation of the line passing through the point A(3,−4) that is parallel to the line y = −x+8.

Answers

Answer:

  y = -x -1

Step-by-step explanation:

The x- and y-coordinates will be the same for the parallel line, so we only need to find the constant that needs to replace the +8 in the given equation.

  y = mx +b

  y = -x +b . . . . . with the coefficient of x filled in

  -4 = -(3) +b . . . with the given point filled in

  b = -1 . . . . .add 3 to both sides

The equation is ...

  y = -x -1

Answer:y = -x -1

Step-by-step explanation:


Goran rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 71 cents for each mile driven. Goran had to pay
$228.98 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

293 Miles

Step-by-step explanation:

$228.98-$20.95=$208.03

 $208.03/$0.71=293 miles

Answer: 94 miles

Step-by-step explanation:

Do $228.98/.71 = 322.51

322.51-228.98= 93.53

Please help me! I really need help with this question!! I need 1-19! I don’t need 2 though

Answers

Answer:

1) 122°

2) 58°

3) 60°

4) 120°

5) 58°

6) 62°

7) 60°

8) 58°

9) 62°

10) 60°

11) 58°

12) 122°

13) 120°

14) 60°

15) 62°

16) 58°

17) 122°

18) 122°

19) 58°

Step-by-step explanation:

Basically Angle Relationships

Each Angle all matches to a different Angle due to their same degree. It is kind of confusing at first but really easy when you understand it and look at it with pacience.

This took so long lol. I really hope it helps! :D

2. Use the Remainder Theorem to evaluate the given polynomial when x = 2.
f(x) = 3x4-5x3- 7x +12

Answers

Answer:

The answer is x= 9 over 7 or 9/7 :)!

Step-by-step explanation:

1 3
Determine the quotient of 1---
3.5
1-
10
COTA
9
OIN
2-
5

Answers

Answer:

try asking this in. diferant form

Step-by-step explanation:

what is the slope of the line

Answers

Answer:

The slope is 1/2.

Step-by-step explanation:

To find the slope of a line, use the equation (y2-y1 / x2-x1)

Let's say (4,3) is x2 and y2. That means (0,-2) is x1 and y1.

(3 - 0) / (4 - -2)

(3 - 0) / (4 + 2)

3/6, which simplifys to 1/2

Meme 80 points! :D good boi

Answers

Hi bro how was your day .

Answer:

hey man

Step-by-step explanation:

hope this answer helped

click that link below

thanks

What is the right option?

Answers

C. -x + 2y = 8

Hope this helped :)
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