Martin Lukarevski, a super-hard problem published by Cambridge:

Let m be an arbitrary integer and let k=3m+1. Find all integer solutions x and y of the equation
(x + y − k)(x + y + k)=1+xy.

Answers

Answer 1

Answer:

Yagub Muallim is watching, grave is loading .

Step-by-step explanation:


Related Questions

use the multiplier method to increase £258 by 43

Answers

Answer:

The new value after an increase

of £258 by 43 will be: 368.94

Step-by-step explanation:

As we have to increase £258 by 43 using the multiplier method.

Let 'n' represent the new value after the increase of £258 by 43 using the multiplier method.

Using the formula

n = 258 + percentage increase

   [tex]=258+\left(43\%\:258\right)[/tex]

   [tex]=258\:+\:43\%\:\times 258[/tex]

Factoring out 258

    [tex]=\left(1\:+\:43\%\right)\:\times \:258[/tex]

as 1 = 100 / 100 = 100%

so

   [tex]=\left(100\%\:+\:43\%\right)\:\times \:258[/tex]

   [tex]=143\%\:\times \:258[/tex]

    [tex]=\frac{143}{100}\times 258[/tex]

    [tex]=\:\frac{143\times 258\:\:}{100}[/tex]

    [tex]=\:\frac{36,894\:\:}{100}[/tex]

    [tex]=368.94[/tex]

Therefore, the new value after an increase

of £258 by 43 will be: 368.94

Umm I kinda need help pls

Answers

Answer:

what help would i do

Step-by-step explanation:

dillon pays x dollars to get a haircut.he gives the stylist a 20% tip the expression representing his total cost is x + 0.2x

Answers

Answer:

[tex]y=x+0.2x[/tex]

Step-by-step explanation:

Step one:

given data

we are told that Dillon paid $x for a haircut.

and gave a tip of 20% of the amount he paid, this is expressed as

=20/100*x

=0.2x

Let the total amount he paid, that is haircut plus tip be y

the expression for the total amount is

[tex]y=x+0.2x[/tex]

     here x represents the amount he paid

              0.2 represents 20% of the haircut

Asia is a chef in a restaurant. To prepare for dinner service, she chops 7 1/2 onions in 1/6 of an hour. What is Asia's rate of chopping in onions per hour?

Answers

Asia is a chef in a restaurant. To prepare for dinner service, she chops 7 1/2 onions in 1/6 of an hour. Asia's rate of chopping onions is 30 onions per hour.

From the information given;

Asia chops [tex]\mathbf{7 \dfrac{1}{2} \ onions }[/tex] in [tex]\mathbf{\dfrac{1}{6} \ hours}[/tex]  

So, the onion is given in mixed fraction which can be converted to an improper fraction as: [tex]\mathbf{\dfrac{15}{2}\ onions}[/tex]

Now,

if Asia chops  [tex]\mathbf{\dfrac{15}{2}\ onions}[/tex] in [tex]\mathbf{\dfrac{1}{6} \ hours}[/tex]  Then Asia will chop (x) onions in 1 hour.

We can cross multiply the above two equations to determine the number of onions Asia will chop per hour as follows:

[tex]\mathbf{(x) \times \dfrac{1}{6} \ hours = \dfrac{15}{2} \ onions \times 1 \ hour}}[/tex]

Making (x) the subject of the formula:

[tex]\mathbf{(x)=\dfrac{ \dfrac{15}{2} \ onions \times 1 \ hour}{ \dfrac{1}{6} \ hours }}}[/tex]

[tex]\mathbf{(x)={ \dfrac{15}{2} \ onions } \times { \dfrac{6}{1} }}}[/tex]

(x) = 15 onions × 3

(x) = 30 onions per hour.

Therefore, Asia's rate of chopping onion is 30 onions per hour.

Learn more about fractions here:

https://brainly.com/question/6201432?referrer=searchResults

If Asia chops 7 1/2 onions in 1/6 hour, therefore, using proportion, the rate of chopping onions per hour is: 45 onions per hour.

Applying the knowledge of proportion and fractions, we can determine Asia's chopping rate of onions per hour.

Given:

Number of onions chopped in 16 hour = 7 1/2 onionsLet number of onions chopped in 1 hour be x

Using proportion, we have the following:

[tex]7\frac{1}{2} = \frac{1}{6} \\\\x = 1[/tex]

Cross multiply

[tex]\frac{1}{6} \times x = 7\frac{1}{2} \times 1\\\\\frac{x}{6} = \frac{15}{2}[/tex]

Multiply both sides by 6

[tex]\frac{x}{6} = \frac{15}{2}\\\\x = \frac{15}{2} \times 6\\\\x = 45[/tex]

Therefore, if Asia chops 7 1/2 onions in 1/6 hour, therefore, using proportion, the rate of chopping onions per hour is: 45 onions per hour.

Learn more here:

https://brainly.com/question/20337104

Derek made 15 baskets. This was triple the number of baskets he made on Saturday
Which equation can be used to find, x, the number of baskets Derek made on Saturday?


A) x-3 = 15

B) x/3 = 15 (the x is in fraction form x over three just so u know)


C) x+3 = 15

D) 3x = 15

Answers

D. Triple the amount means multiplying

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation can be used to find, x, the number of baskets Derek made on Saturday.

3x = 15

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of baskets made = 15

This was triple the number of baskets he made on Saturday.
This means,

3x = 15

Number of baskets made on Saturday = x

Now,

3x = 15

Divide both sides by 3.

x = 5

The number of baskets made on Saturday is 5.

Thus,

The equation can be used to find, x, the number of baskets Derek made on Saturday.

3x = 15

Option D is the correct answer.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

In a two-digit number, the units digit is six less than three times the tens digit. Four times the units digit minus five times the tens digit equals 11. Find the digits.

Answers

Answer:

The tens digit = 5

The units digit = 9

The two digit number is 59

Step-by-step explanation:

Let the tens digit be represented by x

The units digits be represented by y

In a two-digit number, the units digit is six less than three times the tens digit.

y = 3(x) - 6

y = 3x - 6

Four times the units digit minus five times the tens digit equals 11.

4(y) - 5(x) = 11

4y - 5x = 11

We substitute

4(3x - 6) - 5x = 11

12x - 24 - 5x = 11

Collect like terms

12x - 5x = 11 + 24

7x = 35

x = 35/7

x = 5

y = 3x - 6

y = 3(5) - 6

y = 15 - 6

y = 9

Hence,

The tens digit = 5

The units digit = 9

The two digit number is 59

Answer:

5=tens 9=units

Step-by-step explanation:

I think its this

The line segment joining the points ( 3,-4) and (1,2) is trisected at the points P and Q . If the coordinates of P and Q are (p , -2 ) and ( 5/3 , q ) respectively, find the values of p and q.

Answers

Answer:

P = 7/3 and q = 0

Step-by-step explanation:

The given parameters are;

The endpoints of the segment are, (3, -4) and (1, 2)

The points that trisect the given points are P and Q with coordinates (p, -2) and (5/3, q) respectively

Therefore, we have;

The first point of the trisection cuts 1/3 of the length from one point and the second point of the trisection cuts 2/3 of the length from the same point

The coordinates of P or Q = (3 - (3 - 1)/3, -4 - (-4 - 2)/3) = (7/3 , -2)

Therefore, given that the y-coordinate value of the derived point coincides with the y-coordinate value of the point P, (p, -2) and there is only one point with x = -2 on the line, we have that the coordinate of the point P is (p, -2) = (7/3 , -2)

∴ P = 7/3

Similarly we have the second point of the trisection, Q, given as follows;

We are already given the x-coordinate value of the point Q as the 5/3 in (5/3, q)

Point Q = (5/3, q) = (3 - 2×(3 - 1)/3, -4 - 2×(-4 - 2)/3) = (5/3 , 0)

Point Q = (5/3, q) = (5/3 , 0)

∴ q = 0.

plz help


Simplify:
- 1.2+15.45

Answers

Answer:

- 1.2+15.45=14.43

Step-by-step explanation:

If his heartbeat has increased by 8 beats per minute after 20 minutes of working out how much will his heartbeat have increased after 30 minutes of working out

Answers

Answer:

12 beats per minute after 30minutes

Step-by-step explanation:

Since we are told by how much his heartrate increased in 20 minutes, we can simply calculate how much it increased in 10 minutes and add that amount to the current heart rate to know how much his heartrate increased after 30 minutes of working out. Since 10minutes would be half of the 20minutes we simply divide the beats per minute by 2.

8 / 2 = 4 beats per minute after 10 minutes

Now we simply add this to the beats per minute at the 20minute mark to calculate the beats per minute at 30minutes

8 + 4 = 12 beats per minute after 30minutes

Does the table show a proportional relationship? If so, what is the value of y when x is 11

Answers

Answer:

Yes, the table shows a proportional relationship

The value of y when x is 11 is 1331

Step-by-step explanation:

Let us check the relation between x and y in the table

x = 4 and y = 64

∵ 64 = 4³

y = x³

x = 5 and y = 125

∵ 125 = 5³

y = x³

x = 6 and y = 216

∵ 216 = 6³

y = x³

x = 10 and y = 1000

∵ 1000 = 10³

y = x³

∵ All the values on the table give the same relation

∴ x and y are proportion

The table shows a proportional relationship

∵ y = x³

∵ x = 11

∴ y = (11)³

∴ y = 1331

The value of y when x is 11 is 1331

PLSS HELP ASP Nick bought raffle tickets to try to win a prize. He paid $3.00 for $12 tickets.

What is the cost per raffle ticket?

A $0.20 per ticket

B $0.25 per ticket

C $4.00 per ticket

D $5.00 per ticket

Answers

B. it is 0.25 because 0.25 times 12 = $3.00

Answer:

c.

Step-by-step explanation:

$4 a ticket

12÷3=4

I hope this was helpful

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation: the rise is 2 and the run is 1 and its rise over run so 2/1 and that equals 2

Answer:

the slope is 2

Step-by-step explanation:

(2,1), (0,-3)

m=2

If 40 percent is 240 what is 25 percent

Answers

Answer:

150

Step-by-step explanation:

maybe it could be like this

0.40x = 240

we could get x = 600

then 0.25x = 600 × 0.25 = 150


Does this table represent a direct variation?

Answers

Answer:

yes, correct me if im wrong

Step-by-step explanation:

No it is not a direct variation or A

Trent rakes leaves in his neighborhood. The equation y = 10x represents the amount of money he earns y for every yard x. What is the constant of proportionality?

Answers

Answer:

The constant of proportionality is 10

Simplify
x + x + y x y?

Answers

Answer: [tex]2x+y^2[/tex]

Step-by-step explanation:

[tex]x\:+\:x\:+\:y\:\cdot \:y[/tex]

[tex]x+x+yy[/tex]

[tex]2x+yy[/tex]

[tex]2x+y^2[/tex]

Answer:

2(x)+[tex]y^{2}[/tex]

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.21 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

will give crown if answered correctly..

Answers

Answer:

what is a crown

Step-by-step explanation:

they should stop eating out

What is the constant of proportionality in the equation y=3I

Answers

Answer:

31

Step-by-step explanation:

y=kx

What is the answer to this question above?

Answers

Answer:

is it multiple choice

Step-by-step explanation:

Answer:

x is 10 y is 5.8

Step-by-step explanation:

x=y+4.2=10

Help me out fast please

Answers

Answer:

16

just subtract the sqaush by tomatoes

Answer:

0.5

Step-by-step explanation:

65.92÷32=2.06

49.92÷32=1.56

2.06-1.56=0.5

Convert 5 kilometers to meters

Answers

Answer:

5,000 meters

Step-by-step explanation:

Multiply by 1000, so 5 x 1000 is 5000.

Really stupid question, but how do you add a comment lol. There’s no enter button or anything (I’m on an iPad) if that helps.

Answers

Answer:

You just do

Step-by-step explanation:

Answer:

just click the thing that says "Ask blah blah about this question..."

Step-by-step explanation:

( √-5+2 √20) ( -√-5)

Answers

Answer: 5 - 20 i

Step-by-step explanation:

Which of the following equation(s) has a graph that is perpendicular to the line x + 2y = 14? Select all that apply.
A. 2x - y = -7
B. 7y = 14x + 2
C. x + 2y = 7
D. 14y = 7x + 2

Answers

Answer:

A

Step-by-step explanation:

not sure.................pero tama sagot ko

I’m guessing it’s A (sorry if it’s wrong)

please help for brainlyist and 5 star​

Answers

Answer:

a

Step-by-step explanation:

Vecayse Sjuare tmes

what is the slope. please hurry up​

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=2-1/4-2

m=1/2

(Find common denominator first.)
3/2 + b=7/4

Answers

Answer:

b = 1/4

Step-by-step explanation:

Take the given fractions : 3/2 and 7/4 and find a common denominator.

We will use 4 as a common denominator.

In order for the denominator of 3/2 to get to 4, you need to multiply by 2.

3 × 2 = 6        2 × 2 = 4

New fraction: 6/4

Now we have the equation 6/4 + b = 7/4

7/4 - 6/4 = 1/4

2x+3=6x-5 Solve the eqution

Answers

Answer:

2

Step-by-step explanation:

2x+3=6x-5

2x-6x=-5-3

-4x=-8

X=8/4

X=2

So the final answer is 2

7x+3 because u add 2c with 6x and get 7x then take away 5-3=3

4) A cell phone company would like to run a promotion for a limited time. The cellphone
company is activating a phone line for $40. People will have to pay $50 each month for
phone service. Which equation can be used to find y, the amount that someone will pay
for x months?
y = 40x + 10
y = 40x + 50
y = 40 + 50x
y = 10x + 40

Answers

y=40+50x

$40 is the initial price so it stays constant. It never changes.

$50 is the slope because every month they pay $50 so it’s increasing at a constant rate and always stays linear.

HELPPPPP its geo and I need help​

Answers

Answer:

61

Step-by-step explanation:

first we set <B and <E equal to each other to find x (they are equal because it is a given in the phrase below the pics)

5x + 8 = 7x - 12

5x + 20 = 7x

20 = 2x

10 = x

now we know x is 10, so substitute it into an equation to find the measure of the vertex of the triangles

5(10) + 8 = 58

subtract 58 from 180 to find what the base angles are combined

180 - 58 = 122

since there are two congruent base angles (the base angles of isosceles triangles are always congruent), we have to divide 122 by 2 to find the measure of a base angle

122 ÷ 2 = 61

<F is a base angle, so <F is 61

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