Suppose b is an integer. If b mod 12 = 5, what is 8b mod 12? In other words, if division of b by 12 gives a remainder of 5, what is the remainder when 8b is divided by 12

Answers

Answer 1

Answer:

8 b mod 12 is equal to 4.

Step-by-step explanation:

Use Dividend = Divisor × Quotient + Remainder

As b mod 12 = 5 (that is division of b by 12 gives a remainder of 5)

[tex]b=12k+5[/tex]

Here, k is any integer.

Multiply both sides of [tex]b=12k+5[/tex] by 8

[tex]8b=8(12k+5)\\8b=8(12k)+40[/tex]

write 40 in terms of 12

[tex]40=36+4=12(3)+4[/tex]

[tex]8b=8(12k)+12(3)+4\\8b=12(8k+3)+4[/tex]

Therefore,

8 b mod 12 is equal to 4.


Related Questions

What expression is equivalent to (24+9)

Answers

Answer:

welol its in parentheses and no matter what you always do parentheses first and it shows

(24+9) and the answer to that is 33

bc your simply just adding 24+9

Step-by-step explanation:

or if your looking for something similar do

(11+22)

Please tell me what is it

Answers

Answer:

-2x+4>-2

-2x>-2-4

-2x>-6

X<3

Answer is J


Solve for z.
I need help please

Answers

Answer:

Z is 52 degrees.

Step-by-step explanation:

52 plus 38 is 90

Answer:

52°

Step-by-step explanation:

You can say this a 'cardesian plane', where adjacent quadrants are at right angle to each other. So,

z + 38 = 90°

z = 90° - 38° = 52°

During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which integer represents the total number of yards at the end of the first four plays? z ​

Answers

Answer:

12

Step-by-step explanation:

So The team lost 9 yards. -9

Then they GAINED 3 yards on EACH of the next 3 plays. 3+3+3=9.

Technically on the 4 one it would be; 12

Explain what Similar means?

Answers

Answer:

It means alike but not identical. Showing resemblance.

Step-by-step explanation:

Hope this helped and have a great day!

(Please brainliest)

Write an addition problem that has a sum of -4 3/5

Answers

Answer:

-4+(-4.6)

Step-by-step explanation:

What is the value of this expression when x=-1 and Y = 2?
4x3y2

Answers

Answer:

-48

Step-by-step explanation:

4 x -1= -4

3 x 2= 6

-4×6= -24

-24×2= -48

PLS HELP WITH THIS one

Answers

Subtraction property.
Since the 4 is a coefficient you cannot subtract it from the 4 on the other side of the equal sign therefor the only number left is 12. Since you do opposite property’s it’s subtraction. Hope this helps

3,269-round to the Nearest hundred

Answers

It would be 3,300 because 6 is greater then 5 meaning you round up.

use the graph of the rational function shown to complete the statement

Answers

Answer:

0

Step-by-step explanation:

Look at the graph, for x because it is going right continously but it is going towards 0 on the y-axis.

Think of it this way it that line kept going rightward for infinite amounts what would the y value get close to? 0.

In given graph of function, When x → ∞, f(x)=0

Option D is correct.

Graph of function:

From the given graph of function,

It is observed that, x- axis is the asymptote of the function.

Since, graph of function never intersect the x- axis.

When x → ∞, f(x)=0

Therefore, option D is correct.

Learn more about the graph of function here:

https://brainly.com/question/24748644

the sum of x and 7 .............

Answers

Answer:

7x

Step-by-step explanation:

A college student borrows ​$2000

for 3

months to pay for a semester of school. If the interest is ​$41.25
​,
find the monthly payment.

Answers

Answer:

707.91 dollars.

Step-by-step explanation:

2000 divided by 3 = 666.66

666.66 + 41.25 = 707.91

Answer:

the correct answer is 680.42

Step-by-step explanation:

PLEASE HELP
(if you come in here saying you don’t know and you’re here just for the points, your answer will be reported )
The distribution of the gas mileage of a fleet of cars is shown in the following chart. Which box-and-whisker plot corresponds to this distribution?

Answers

Answer:

C is definantly the correct one, none of the others will work :) I wish you luck on your work.

Step-by-step explanation:

<3

The box-and-whisker plot corresponds to this distribution is A.

What is Box plot?

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

We have, The distribution of the gas mileage of a fleet of cars.

From the data,

Minimum value = 28

lower quartile = 29

Median= 30

Upper quartile = 31

Maximum value = 32

Here the box plot represent the above parameters in box plot A.

Learn more about Box and whisker plot here:

https://brainly.com/question/2742784

#SPJ2

WILL MARK BRAINLIEST PLEASE HELP!!!!!!!!! Find the value of the expression: 2c2+3 for c=–11; 0; 15

Answers

Answer:

c = -11

expression value = 245

c = 0

expression value = 3

c = 15

expression value = 453

Step-by-step explanation:

Given expression = [tex]2c^2 + 3[/tex]

for c = -11 , we put c in place of c in given expression

[tex]2(-11)^2 + 3 = 2(121) + 3 = 242 + 3 = 245[/tex]

for c= 0

[tex]2(0)^2 + 3 = 2(0) + 3 = 0 + 3 = 3[/tex]

for c = 15

[tex]2(15)^2 + 3 = 2(225) + 3 = 450 + 3 = 453[/tex]

Find the value of tan 6720 with out calculator

Answers

The best thing I can say is use a online scientific calculator.

Answer:

[tex]\sqrt3[/tex]

Step-by-step explanation:

I'm assuming you're dealing with degrees.

If that's the case, then I would first find the closest multiple of 360 to that number.

360*20 = 7200, which is a bit too high; 360*19 = 6840, still a bit too high; 360*18 = 6480, perfect.

Now, just subtract 6480 from 6720 and you will get 240.

The answer is now simplified to tan 240, which can be expressed as sin(240)/cos(240).

240 degrees is 30 degrees away from 270, creating a 30-60-90 triangle.

That means cos(240) is -1/2 and sin(240) is -sqrt(3)/2.

Now, just divide:

[tex]-\frac{\sqrt3}{2}/-\frac{1}{2} = -\frac{\sqrt3}{2}\cdot-2 = \sqrt{3}[/tex]

Therefore, tan(6720 degrees) = [tex]\sqrt3[/tex]

What is the triangle congruence method that proves these triangles are congruent?

Answers

Answer:

SAS

Step-by-step explanation:

We know the bisector AB is congruent for both triangles, we know that angle ABD and ABC are both 90, and we know sgements BD and BC are congruent since it says the side length

PLEASE HELP
7. SHOW YOUR WORK: Amy's Group can build 1 garage in 8 hours. Bob's
group can build it in 12 hours. How long would it take them if they worked
together? ROUND to the nearest tenth. *

Answers

Answer:

It would take 4.8 hours if they worked together

Step-by-step explanation:

The garage can be built by Amy's group in 8 hours and can be built by Bob's group in 12 hours.

Let's find what portion of the garage each group completes in one hour, add their contributions, and find the time to finish the garage working together.

Amy's group completes the job in 8 hours, it means that in 1 hour, they complete 1/8 of the garage.

Bob's group completes the job in 12 hours, meaning they complete 1/12 of the garage in 1 hour.

Now we add both contributions per hour:

[tex]\displaystyle \frac{1}{8}+\frac{1}{12}[/tex]

The LCM of 12 and 8 is 24, thus:

[tex]\displaystyle \frac{1}{8}+\frac{1}{12}=\frac{3+2}{24}=\frac{5}{24}[/tex]

In one hour, they build 5/24 parts of the garage, so the complete job is finished in 24/5=4.8 hours.

It would take 4.8 hours if they worked together

Write a recursive formula for the sequence 9, 6, 3, 0, … Then find the next term.

Answers

Answer:

f[1] = 9; f[n] = f[n-1] -3-3

Step-by-step explanation:

The first term is 9, so f[1] = 9.

Each term is 3 less than the one before, so f[n] = f[n-1] -3.

Three less than the last term shown is ...

  0 -3 = -3

__

The recursive formula is ...

f[1] = 9f[n] = f[n-1] -3

The next term is -3.

Miguel has 22 cans of regular soda and 99 cans of diet soda. If he decides to sell it by package with the same number of regular soda and diet soda in one pack without leaving one, how many equal packages can he make? How many of regular soda and diet soda in one package?

Answers

3 regular sodas and 1 diet

What is the difference (2 x minus 3) minus (x minus 1)?

Answers

Answer:

2x - 3 - (x-1)

2x - 3 -x +1

x-2

Answer:

x-2 or B. if you're on edg

I NEED YOUR HELP PLEASE

Answers

Answer:

Sure

Step-by-step explanation:

What is the question?

What do you need help with

Anybody know the answers to this frl it’s due in 15 mins

Answers

Answer:

4. j(11) = 8

I think it is linear

5. g(-3) = 18

No, it's a parabola since x is to the second power

6. f(-7) = 5

No, I think it's an absolute value function

7. h(0) = 13

I think it is linear, just the slope is 0

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

4.)

j(11) = 19 - 11

j(11) = 8

The equation is linear.

5.)

g(-3) = 2(-3)²

g(-3) = 2(9)

g(-3) = 18

The equation is not linear. It is quadratic.

6.)

f(-7) = |-7 - 1| - 3

f(-7)= |-8| - 3

f(-7) = 8 -3

f(-7) = 5

The equation is not linear. It is an absolute value function.

7.)

h(0) = -13

The equation is linear.

What is the value of x?

Answers

Answer: c

Step-by-step explanation:

Answer:

C. 75°

Step-by-step explanation:

Step 1:

70° + 35° + x = 180°    Sum of a Δ

Step 2:

105° + x = 180°       Combine Like Terms

Step 3:

x = 180° - 105°    Subtract

Answer:

x = 75°

Hope This Helps :)

Only correct answers get brainliest.

Answers

Answer:

x=3+ln(6)ln(4)

Step-by-step explanation:

What is the slope of the line that contains these points?

(5,-3),(6,-1),(7,1),(8,3)

Answers

Answer:

2

Step-by-step explanation:

slope of line= [tex]\frac{y2-y1}{x2-x1}[/tex]

You can take any two points from the given points, put them in this formula and answer will be 2.

For example:

Lets take (7,1) and (8,3)

Slope= [tex]\frac{3-1}{8-7}[/tex]

=2/1=2

Hope it will help :)


x + 2y = 4
2x – 3y = 1
I will give brainiest

Answers

x = 2 y = 1

2 + 2(1) = 4

2(2) - 3(1) = 1

Determine if the ratio or rates are equivalent: 24 points scored in 4 games; 48 points scored in 10 games ASAP ANSWER IT I NEED HELP

Answers

Answer:

Step-by-step explanation:

Yes: 24 points/4 games = 6 points per game while 48 points/10 games = 24 points in 5 games.

Given that the real-world distance from Chicago to San Jose is 2,200 miles, the distance from Atlanta to San Jose is

Answers

The distance from Atlanta to San Jose is

Answer:

(2,440.1 mi)

Write and solve an equation to find the value of x and the missing angle measures.

Answers

7x + 18 = 8x + 7 bcuz they are alternate exterior angles
18-7 = 8x - 7x
11 = x

So the angle measures are
95 and 95

Answer:

x = 11 --> angles = 95 degrees

Step-by-step explanation:

They are equal to each other so

7x + 18 = 8x + 7

Put the like terms together

18 - 7 = 8x - 7x

11 = x

so when we substitute this value of x into the equations, we get that both angles are 95 degrees.

Hope this helps!

If 21 hours are worked, what are the total earnings?
*
2 points
HOURS WORKED
3
7
15
24
30
TOTAL EARNINGS
$46.50
$108.50
?
$372.00
$465.00
Nour answer
The
Yes

Answers

Answer:

232.50

Step-by-step explanation:

46.50÷3=15.5

15.5 is your money per hour/s

15.5x15=232.50

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