cho x,y thuộc n thoả mãn x hia 3 dư 1,y chia 3 dư 2.hỏi x.y chia 3 có số dư bằng bao nhiêu

Answers

Answer 1

Answer:

2

Step-by-step explanation:

x÷3 dư 1-->x=3a+1

y÷3 dư 2-->y=3b+2

x×y=(3a+1)×(3b+2)

=9ab+6a+3b+2

Mà 9ab, 6a, 3b chia hết cho 3, 2 chia 3 dư 1

==>x×y chia 3 dư 2


Related Questions

right answers only!!!

Answers

Step-by-step explanation:

7

In the equation $\frac{1}{j} + \frac{1}{k} = \frac{1}{3}$, both $j$ and $k$ are positive integers. What is the sum of all possible values for $k$?

Answers

Answer:

Hello,

answer 22

Step-by-step explanation:

[tex]\dfrac{1}{j} +\dfrac{1}{k} =\dfrac{1}{3} \\\\\dfrac{k+j}{j*k} =\dfrac{1}{3} \\\\\\3k+3j=j*k\\\\k(3-j)=-3j\\\\k=\dfrac{3j}{j-3} \\\\k=\dfrac{3j-9+9}{j-3} \\\\k=3+\dfrac{9}{j-3} \\\\\\j-3\ must\ be \ a divisor\ of\ 9 ==> 1,3,9\\\\j-3=1 ==> j=4 , k=3+\dfrac{9}{1} =12\\\\j-3=3 ==> j=6 , k=3+\dfrac{9}{3} =6\\\\j-3=9 ==> j=12 , k=3+\dfrac{9}{9} =4\\\\\sum\ k=12+6+4=22\\[/tex]

The sum of all possible values for k is 22.

What is fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

1/j + 1/k= 1/3

Simplifying the fraction

(k+ j)/ kj= 1/3

3k + 3j = kj

k(3- j) = -3j

k = -3j/ (3- j)

k= 3j/ (j-3)

k = 3j + 9 - 9 / (j-3)

k = 3 + 9/ (j-3)

Since (j-3) must be divisor of 9.

j- 3 = 1---> j=4, k= 3 +9 = 12

j- 3 = 3---> j=6, k= 3 +9/3 = 6

j- 3 = 9---> j=12, k= 3 +9/9 = 4

So, The sum is = 12+ 6 + 4 = 22

Learn more about Fraction here:

https://brainly.com/question/10354322

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PLEASE HELP !!! 25 POINTS!Perform the following conversion.
0.09 km to dam


0.000 009 dam
0.000 009 dam

900 dam
900 dam

90 000 dam
90 000 dam

9 dam
9 dam

Answers

Answer:

9 dam

Step-by-step explanation:

1 km = 100 dam

0.09 km = 0.09 × 100

              = 9 dam

∴ 0.09 km = 9 dam

HELP FAST 100 POINTS
MUCH SHOW WORK

Answers

Answer:

x is 7 and m<1 is 99°

Step-by-step explanation:

m<NMQ + m<MQN + m<QNM = 180°

[tex]{ \sf{(5x + 19) + (8x - 11) + (11x + 4) = 180}} \\ { \sf{24x + 12 = 180}} \\ { \sf{24x = 168}} \\ { \sf{x = \frac{168}{24} }} \\ \\ { \sf{x = 7}}[/tex]

m<1 = 180° - (11x + 4)

m<1 = 180° - 81°

m<1 = 99°

Using angle sum property

[tex]\\ \sf\longmapsto 5x+19+8x-11+11x+4=180[/tex]

[tex]\\ \sf\longmapsto 24x12=180[/tex]

[tex]\\ \sf\longmapsto 24x=180-12=168[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{168}{24}[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

<1=11(7)+4=77+4=81[/tex]

pls help me with this question and reply answer​

Answers

Step-by-step explanation:

From both the cases we can say that √n is either a natural number or an irrational number. Hence the correct option is (d)Either a natural number or an irrational number. Note: Before solving this type of question we should have proper knowledge of natural numbers, rational numbers and irrational numbers.

The sum of two numbers is 50. If the larger number is divided by the
smaller number we get 7/11. Find the numbers.

Answers

Answer:

y = 30.555 and x = 19.444

Step-by-step explanation:

We are given:

x + y = 50 and

x / y = 7/11

use substitution taking

x + y = 50

x = 50 - y

then

x / y = 7/11 and from above substitute for x

(50 - y)/ y = 7/11

(50 - y) = 7y/11

11(50 - y) = 7y

550 - 11y = 7y

550 = 18y

y = 550/18 = 30.555 so

x + y = 50

x = 50 - y

x = 50 - 30.555 = 19.444

Which of the following lists of ordered pairs is a function? A. (2,5), (3, 6), (6, 9) B. (-1,2), (2, 3), (3, 1), (2,5) C. (1,2), (4,0), (3,5),(4,3) D. (2,5), (3, 6), (2, 1)​

Answers

Answer:

A. (2,5), (3,6), (6,9)

Step-by-step explanation:

In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.

option A(2,5),(3,6),(6,9)

I need help!!! please help me!!!​

Answers

Answer:

um ok the laiyflylfug;ou;

Step-by-step explanation:

Margaret bought a video game, her father gave her 0.2 of the money, her aunt gave 0.5 of the money and she saved the rest. She saved $168 so what amt of money did her father give

Answers

Answer:

if Im correct it should be $8.40

Step-by-step explanation:

why well if you think of breaking down by say 1/4 of 168 all you do is divide 4 which is the whole amount by 0.2 which is the amount the father gave her so 4/0.2= 20 the you take your whole 168 and divide by 20 which the whole number for 0.2 the your answer should be this 168/20= 8.4 which then i assumed it was $8.40 hopefully that is correct hehe

The scale on a map is 1 inch = 10 miles.
What is the distance, in inches, on the map
between two towns that are m miles apart?
F.
m/10
G. M/5
H.5m
J.10m
K.m+10

Answers

Answer:

F.  m/10.

Step-by-step explanation:

10 miles = 1 inch

1 mile = 1/10 of an inch so

m miles = m/10 inches.

answer the question

Answers

(v^3)(w^-3) / (-v^-6)(w^3)

(-v^9)(w^-3) / (w^3)

(-v^9)(w^-6)

ANSWER: Option 4

Hope this helps!

This is for geometry, please help ASAP

Answers

Answer:

Option C,

y² = 18x, since the graph opens right

Answered by GAUTHMATH

PLEASE HELP ASAP!!! I dont understand

Answers

Answer:

15

Step-by-step explanation:

(3x-1+2x+1)(3) -> 3 is the plug-in for x

3x-1+2x+1=5x

5*3=15

15

Answer:

15

Step-by-step explanation:

f(x) = 3x -1

g(x) = 2x+1

(f+g)(3)

find g(3) = 2(3)+1 = 6+1 = 7

Then find f(3) = 3(3) -1 = 8

f(3) + g(3) = 7+8 = 15

A swimming pool has 143 gallons of water in it. The swimming pool drains at a rate of 8 gallons per minute. How much water is in the swimming pool after 11 minutes?


How much water does the swimming pool have after 11 minutes? Solve on paper, then enter your answer on Zearn.

The swimming pool has
gallons of water after 11 minutes.

Answers

We know that the pool drains at a rate of 8 gallons per minute. We can multiply 8*11. 8*11 is 88. We can now subtract 88 from 143. This gives us 55. The swimming pool has 55 gallons of water after 11 minutes.

Answer:

55 Gallons

Step-by-step explanation:

143 - (8)(11)

143 - 88

143 -  88

55 gallons

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 43 and a standard deviation of 8. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 19 and 67

Answers

Answer:

Step-by-step explanation:

If you drew out the bell curve and put the values where they go, this would be a no-brainer that doesn't even need math to solve. However, we will use the formula and then the table for z-scores to find this answer.

We are looking for the probability that the number of calls falls between 19 and 67. The standard deviation is 8 and the mean is 43. The probability we are looking for is P(19 < x < 67), therefore we look for the probability first that number of calls is greater than 19:

[tex]z=\frac{19-43}{8}=-3[/tex] and from the table and to the right of the z-score, the probability that the number of calls is greater than 19 is .99865 (or 99.8%). Likewise,

[tex]z=\frac{67-43}{8}=3[/tex] and from the table and to the right of the z-score, the probability that the number of calls is greater than 67 is .00315.

Take the difference of these to get the probability that the number of calls falls between these 2:

.99865 - .00135 = .9973 or 99.7%

Can someone please help me on these 3 equations please HELP ME !!!

Answers

√150=12.24√72=8.48√63=7.93

please mark this answer as brainlist

Please help me anyone

Answers

Replace x with -11 and solve:

Y = (-11)^2 + 11

(-11)^2 = 121

Y = 121 + 11

Y = 132

Answer: 132

Answer:

132

Step-by-step explanation:

y = x^2 +11

Let x = -11

y = (-11)^2 +11

  = 121+11

  = 132

A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.

Answers

Answer: [tex]4004.76\ ft[/tex]

Step-by-step explanation:

Given

inclination is [tex]\theta=75^{\circ}[/tex]

Mountain is [tex]h=3900\ ft[/tex] high

Cable is tied [tex]x=910\ ft[/tex] from the base of the mountain

From the figure, length of the shortest path is [tex]l[/tex]

It is given by using Pythagoras theorem

[tex]\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft[/tex]

please prove it
(full steps required)
(No spam answers)​

Answers

Answer:

Step-by-step explanation:

It's given in the question,

[tex]2^x=3^y=12^z[/tex]

[tex]2^x=12^z[/tex]

[tex]\text{log}2^x}=\text{log}12^z}[/tex]

[tex]x\text{log2}=z\text{log12}[/tex]

[tex]x=\frac{z\text{log}12}{\text{log2}}[/tex]

[tex]3^y=12^z[/tex]

[tex]\text{log}3^y}=\text{log}12^z}[/tex]

[tex]y\text{log}3}=z\text{log}12}[/tex]

[tex]y=\frac{z\text{log12}}{\text{log}3}[/tex]

Now substitute the values in the equation,

[tex]\frac{1}{y}+\frac{2}{y} =\frac{1}{\frac{z\text{log12}}{\text{log}3}}+\frac{2}{\frac{z\text{log}12}{\text{log2}}}[/tex]

         [tex]=\frac{\text{log}3}{z\text{log}12}+\frac{2\text{log}2}{z\text{log}12}[/tex]                    

         [tex]=\frac{\text{log}3+\text{log}2^2}{z\text{log}12}[/tex]

         [tex]=\frac{\text{log}(3\times 2^2)}{z\text{log}12}[/tex]

         [tex]=\frac{\text{log}(12)}{z\text{log}12}[/tex]

         [tex]=\frac{1}{z}[/tex]

Hence proved.

How to muilti step equation this problem

Answers

-5(x+3)=-4x-15
-5x-15=-4x-15
-5x+4x=-15+15
-1x=0 /-1
x = 0

If you buy 12 pounds of lettuce for $96 what is the rate which one pound of lettuce costs

Answers

8

96$ divided by 12 = 8

Thats how you would get the rate and maybe you can apply this method to other questions if there are any?

Answer:

$8

Step-by-step explanation:

$96 divided by 12

Ike's speedometer on his motorcycle is broken. He is riding at a constant speed. He times himself and finds that it takes him 1 minute and 20 seconds to ride 1 mile. How fast is Ike riding in miles per hour?

Answers

1 minute and 20 seconds as a decimal = 1.333

60 minutes are in an hour

60/1.333 = 45

He is driving 45 miles per hour.

Derek walks to his best friends house at a rate of 1 block per minute, then turns around and walks home. The graph shows the distance Derek walks in the given amount of time. Write an equation for the graph.

Answers

In this question, we have to find an equation for two lines, depending on the input x, which creates the following piecewise function for this graph:

[tex]y = t, 0 \leq t \leq 10, -t + 20, 10 \leq t \leq 20[/tex]

Equation of a line:

The equation of a line is given by:

[tex]y = mt + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0).

This situation:

One line for x between 0 and 10;Another for x between 10 and 20;

x between 0 and 10:

From here, we can take two points (t,y). I will take (0,0) and (10,10).

From point (0,0), we get that when [tex]x = 0, y = 0[/tex], which means that the y-intercept is [tex]b = 0[/tex], thus:

[tex]y_1 = mt[/tex]

To find the slope, when we have two points, it is given by change in y divided by change in t, so:

Change in t: 10 - 0 = 10

Change in y: 10 - 0 = 10

Slope: [tex]m = \frac{10}{10} = 1[/tex]

Thus, the first definition is:

[tex]y_1 = t, 0 \leq t < 10[/tex]

x between 10 and 20:

I will take the points (10,10) and (20,0).

First, we find the slope:

Change in t: 20 - 10 = 10

Change in y: 0 - 10 = -10

Slope: [tex]m = \frac{-10}{10} = -1[/tex]

Thus:

[tex]y_2 = -t + b[/tex]

For the intercept, we have point (20,0), which means that when [tex]t = 20, y = 0[/tex]. So

[tex]0 = -20 + b[/tex]

[tex]b = 20[/tex]

Thus, the second definition is:

[tex]y_2 = -t + 20, 10 \leq t \leq 20[/tex]

Write an equation for the graph.

We use the two definitions, that is:

[tex]y = y_1, 0 \leq t \leq 10, y_2, 10 \leq t \leq 20[/tex]

So

[tex]y = t, 0 \leq t \leq 10, -t + 20, 10 \leq t \leq 20[/tex]

A similar question can be found at https://brainly.com/question/16024991

a teacher bought sweets for her 40 students . if she gave each student 3 sweets , she would have 5 sweets left . How many sweets did she buy?​

Answers

Answer:

125 sweets

Step-by-step explanation:

Let the total # of sweets the teacher bought be the variable, x.

We can set up this equation to find the # of sweets she bought:

40 · 3 + 5 = x

Because she gave 3 sweets each to her 40 students, we have to multiply these two numbers to get the # of sweets the teacher gave out.

120 + 5 = x

Then, since there's 5 extra sweets left, we can add it to the # of sweets the teacher gave out to get the total amount of sweets she bought.

125 = x

x = 125

125 sweets

Answer:

Total sweets = 125

Step-by-step explanation:

Number of sweets given to each student = 3

Number of sweets given to 40 students = 40*3 = 120

Number of sweets left with the teacher = 5

Total sweets = 120 + 5 = 125

URGENT‼️NEED HELP ASAP
What is the distance between the vertical asymptotes of the two graphs f(x) and g(x)?​

Answers

2 units is the distance
2 units in distance

HAI HELP ME ASAP PLEASE

Answers

Answer:

Y/X = 2/3 x^2 + 16/3

Y= 2/3 x^3 + 16/3 x

Just replace y with y/X and X with x^2

lcm of 12x² and 48xy​

Answers

Answer:

576xxxycm

Step-by-step explanation:

1cm×12x×x+48xy=576xxxycm

Find the first three terms of the sequence below. 3n^2+5n−2

Answers

Answer:

-2, 6, 20 ,...

Step-by-step explanation:

3n² +5n -2

if n=0 , then 3*0² +5*0 -2= -2

if n=1, then 3*1² +5*1 -2 = 3+5-2 = 6

if nu 2, then 3*2² +5*2 -2 = 12 +10 -2 = 20

Maya asked 8 students how many courses they have taken so far at her college. Here is the list of answers.
12, 24, 9, 19, 24, 5, 17, 21
What is the percentage of these students who have taken fewer than 19 courses?

Answers

Answer:

50%

Step-by-step explanation:

The question asks who has taken fewer than 19 courses.

So first we look at how many are fewer than 19.

There are 4 that are fewer than 19: 12, 9, 5, 17

So.. 4/8    (8 is the total number of options)

To find the percentage you...

La señora Angélica fue al mercado y compró 2 visores protectores y 1 mascarilla, pagó $55.00, en total. En el mismo puesto, la señora Silvia compró 1 visor protector y 2 mascarillas y pagó $50.00. ¿Cuál es el precio de una mascarilla? ¿Cuáles el precio de un visor protector?

Answers

Answer:

Cost of 1 goggles = $20

Cost of 1 mask = 15

Step-by-step explanation:

Given:

Cost of 2 goggles and 1 mask = $55

Cost of 1 goggles and 2 mask = $50

Find:

Cost of each goggles and mask

Computation:

Assume;

Cost of 1 goggles = a

Cost of 1 mask = b

So,

2a + b = 55.....EQ1

a + 2b = 50.......EQ2

EQ1 x 2

4a + 2b = 110 ......EQ3

EQ3 - EQ2

3a = 60

a = 20

Cost of 1 goggles = $20

a + 2a = 50

20 + 2b = 50

2b = 30

b = 15

Cost of 1 mask = 15

.

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