A lottery win is inversely proportional to the number of tickets matching the correct numbers. If 20 tickets have the correct numbers, the winners each receive £1400. One week, each person receives £3500. How many tickets matched the correct numbers?

Answers

Answer 1

Answer: 8

Step-by-step explanation:

Given

lottery win is inversely proportional to the number of tickets matching the correct number.

Suppose lottery amount is given by A and no. of tickets by n then

[tex]\Rightarrow A\propto \frac{1}{n}\\\Rightarrow A\cdot n=\text{constant}[/tex]

Initially A=£1400, n=20

then A=£3500, n=?

Product in both the case is same

[tex]\therefore \quad 1400\times 20=3500\timesn\\\Rightarrow n=8[/tex]

There are 8 tickets that matched the correct numbers


Related Questions

Find the perimeter of the triangle whose vertices are the following specified points in the plane.
(5,6), (4,1) and (-4,2)

Answers

Answer:

23 units

Step-by-step explanation:

Let the vertices of the triangle be A(5,6), B(4,1) and C(-4,2)

Perimeter of the triangle = AB + AC + BC

AB = √(5-4)²+(6-1)²

AB = √1²+5²

AB = √1+25

AB = √26

For BC where B(4,1) and C(-4,2)

BC = √(4-+4)²+(1-2)²

BC = √8²+1²

BC = √64+1

BC = √65

For AC where A(5,6) and C(-4,2)

AC = √(5+4)²+(6-2)²

AC = √9²+4²

AC = √81+16

AC = √97

Perimeter = √97 + √26 + √65

Perimeter = 9.85+5.09+8.06

Perimeter = 23

Hence the perimeter of the triangle is approx 23 units

Given f(x) = -3x + 5, solve for x when f(x) = -4​

Answers

Answer:

3

Step-by-step explanation:

Given

f(x) = - 3x + 5

f(x) = - 4

-3x + 5 = - 4

- 3x = - 4 - 5

- 3x = - 9

x = 3

Hope it will help :)

Answer:

x=3

Step-by-step explanation:

i believe it's like this, i am not sure

Y= -3x +5

-4= -3x+5

subtract 5 on both sides

-9= -3x

divide -3 on both sides

x=3

What is the factorization of the trinomial below?
3x3 - 18X2 + 24x

Answers

Answer:

75

Step-by-step explanation:

Answer:

3x3 - 18×2 + 24x = 75

Step-by-step explanation:

my mind is my friend

The ratio of the length to the width of the rectangle is 10:6. Of the perimeter of the rectangle is 160 meters, find the measure of the width. Show your work

Answers

Answer:

60 meters, see explanation.

Step-by-step explanation:

We know that the ratio of length : width is 10 : 6. So for every 10 meters of length, we also have 6 meters of width. This problem is much easier since we are given the P = 160 meters.

You can see that if we multiply the ratio by ten, we get 100 : 60, where 100 + 60 = 160 total meters. From here, it is clear that the width would be 60 meters.

Some help ppplllsssss

Answers

Answer:

the answer is b

Step-by-step explanation:

Side Angle Side

The diameter of a circle is 14km. What is the circles circumference?

Answers

Answer:

Step-by-step explanation:

c=d[tex]\pi[/tex]

c=14x3.14

c=43.96

Linda bought a new rug that cost r dollars. She use a coupon for 20% discount and sales tax of 10%. If there was a shipping fee of $50 that was applied after the discount and tax , Which of the following expressions show the total amount of money that linda paid for the rug

Answers

This is a percent proportion answer I think so you need to use the percent proportion formula and find the answer

Will give brainliest!!​

Answers

Answer:

yes

Step-by-step explanation:

took test

Answer:

No

Step-by-step explanation:

Evaluate (x + 2) + 4 when x = 12 . O A. 6 O B. 10 OC. 2 O D. 18​

Answers

Answer:

Answer: D. 18

Step-by-step explanation:

Which of the following is not one of Euclid’s postulates?

1.) A circle may be described with any given point as its center and any distance as its radius.

2.) All right angles are congruent.

3.) All complementary angles form a right angle.

4.) A straight line may be drawn from any given point to any other.

Answers

Answer:

3.) All complementary angles form a right angle.

hope this helps you :)

"All complementary angles form a right angle" is not Euclid's postulates. Therefore, option C is the correct answer.

We need to identify which of the given option is not one of Euclid’s postulates.

What are Euclid’s postulates?

A statement, also known as an axiom, is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived. The whole of Euclidean geometry, for example, is based on five postulates known as Euclid's postulates.

Postulate 1: A straight line may be drawn from any one point to any other point.

Postulate 2:A terminated line can be produced indefinitely.

Postulate 3: A circle can be drawn with any centre and any radius. Postulate 4: All right angles are equal to one another.

From the about options we can draw a conclusion that "All complementary angles form a right angle" is not Euclid's postulates.

Therefore, option C is the correct answer.

To learn more about Euclid's postulates visit:

https://brainly.com/question/14791269.

#SPJ2

In the diagram of circle M shown, the measure of major arc PRQ=268 . Which of the following
is the measure of angle PRQ ?

Answers

Step-by-step explanation:

The Answer is 46

The measure of Arc PRQ is 268. Another part of the arc is PQ. PRQ+PQ forms a full circle In which a circle has 360 degrees. Using that

[tex]268 + x = 360[/tex]

[tex]x = 92[/tex]

Since we are asked to the measure of PRQ and it is inscribed in arc PQ. It is half of PQ so the answer is

[tex]92 \div 2[/tex]

which is 46.

Help please!! I am freaking out!!

The yellow portion of this pie chart represents 35%

How many degrees are in the angle formed by the edges of the yellow region?

Answers

Answer:

100.8

Step-by-step explanation:

100%=360

35%=?

35/100*360=100.8

Answer:

The correct answer is 126

ill give 18 points!! please help me :))

Answers

Answer:

Step-by-step explanation:

3. 10x + 6 = 8x

   8x = 10x + 6

   -2x = 6

  x = -3

4. y = 8(1) - 5= 8 - 5 = 3

   y = 8(2) - 5 = 16 - 5 = 11

    y = 8(5) - 5 = 40 - 5 = 35

    y = 8(0) - 5 = 0 - 5 = -5

    y = 8(-1) - 5 = -8 - 5 = -13

Number 3 :

[tex]10x + 6 = 8x[/tex]

[tex]6 = 8x - 10x[/tex]

[tex]6 = - 2x[/tex]

[tex]6 \div - 2 = x[/tex]

[tex] - 3 = x[/tex]

Number 4 :

[tex]y = 8x - 5[/tex]

When [tex] x = 1, y = \bold{ 3} [/tex]

[tex]y = (8 \times 1)- 5[/tex]

[tex]y = 8 - 5[/tex]

[tex]y = 3[/tex]

When [tex] x = 2, y = \bold{ 11} [/tex]

[tex]y = (8 \times 2)- 5[/tex]

[tex]y = 16 - 5[/tex]

[tex]y = 11[/tex]

When [tex] x = 5, y = \bold{35} [/tex]

[tex]y = (8 \times 5)- 5[/tex]

[tex]y = 40 - 5[/tex]

[tex]y = 35[/tex]

When [tex] x = 0, y = \bold{-5} [/tex]

[tex]y = (8 \times 0)- 5[/tex]

[tex]y = 0 - 5[/tex]

[tex]y = - 5[/tex]

When [tex] x = -1, y = \bold{-13} [/tex]

[tex]y = (8 \times - 1)- 5[/tex]

[tex]y = - 8 - 5[/tex]

[tex]y = - 13[/tex]

PLEASE HELP ME ASAP!!!!!! USE THIS LINK I WILL GIVE BRAINLEAST

https://brainly.com/question/21436005

Answers

Answer:

okie

Step-by-step explanation:

Answer:

Ok

Step-by-step expl

Question 2 (1 point)
Solve by Substitution. Find the ordered pair
7x – 2y = 1
2y = x - 1
Solution (x,y)
I need help can someone help me please????

Answers

Answer:

on the bottom equation you can subtract 1 from both sides, x = 2y+1 so you substitute that in for x on the other equation, 7(2y+1) - 2y = 1 or 14y + 7 -2y = 1 then 12y = -6 y = -1/2 which you put back into the other equation, 2(-1/2) = x -1 so -1 = x - 1 then x = 0, the answer is (0, -1/2)

on the bottom equation divide all numbers and variables by 2 to get the equation y=2x-2 then write the equation 7x-2(2x-2)=1 distribute to get 7x-4x+4=1 then combine like terms to get 3x+4=1 subtract 4 by one to get 3x=-3 then divide both sides by 3 to get x=-1
next plug in x to your y= equation to get the equation 2(-1)-2=y then solve by multiplying 2by -1 to get -2-2=y then solve and get y=4 so your points are (-1,4)

TRUE or FALSE: The equation 2x + 3y = 32 is not an example of a linear equation in two variables ( I uh need this now-)

Answers

Answer:

False

Step-by-step explanation:

It is a linear equasion because it's in ax+by=c form

What is the Answer?
-4x+35>2

Answers

Answer:

I don't know........................

Answer:

x < 33/4

Step-by-step explanation:

1.) -4x+35 > 2 (Move the constant to the right-hand scale side and change its sign)

-4x > 2 - 35

2.) -4x > 2 - 35 (Calculate the difference)

4x > -33

3.) -4x > -33 (Divide both sides of the inequality by -4 and flip the inequality sign)

x < 33/4

Mark reduce the size of a photo to a height of 4 inches. What is the new width if it was originally 16 inches tall and 8 inches wide?​

Answers

Answer:

Step-by-step explanation:

new height is ¼ of original height

new width = ¼×8 = 2 inches

Answer:

2 inches

Step-by-step explanation:

To find the new width, find the scale factor that was used to reduce the photo.

Since 16 divided by 4 is 4, 4 is the scale factor.

To find the new width, divide 8 by 4:

8/4

= 2

So, the new width is 2 inches


Which is the sum of the first 6 terms of the geometric series?
7+21 +63

Answers

Answer:

2,548

Step-by-step explanation:

First, we have to find out the rule. The rule is multiply the previous number by 3 to get the next number.

7x3=21

21x3=63

So, we would continue this pattern until we have the first 6 numbers which are 189, 567, and 1701.

The questions is asking for the SUM of the 6 numbers so you would add the those numbers and do this equation:

7+21+63+189+567+1701= 2548

Hope this helps! :)

awnser for brainliest and why u chose the awnser

Answers

Answer:

6 kilometers. This is because A,B, and C are all around 18 feet. However, 6 km = 19,685 feet and that is unrealistic.

Hi! Please without looking it up I am doing my writing and speaking test for Spanish and I'm trying to figure out what is "Then" in Spanish...Mind you they use translator detectors so please don't look it up and just help me with it. This is the sentence "There are more tables in the kitchen then in my room." I literally just need to know what "Then" is in Spanish! Thank you!

Answers

Answer:

The sentance you but then would be than which would be Hay más mesas en la cocina que en mi habitación but the word then would be entonces and example sentance is entonces iré allí which is then i will go over there

and than is que, an example sentace en lugar de que yo vaya allí which is rather than me going over there

Step-by-step explanation:

Answer:

Hi Alycia! The answer to your question is Hay más mesas en la cocina que en mi habitación

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

xD

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is 6º more than three times the other angle. ​

Answers

Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

-> x° + y° = 90°

if one angle is 6º more than three times the other angle:

-> x° = 6° +3y°

Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

Solve for y

4y° = 84°

y° = 21°

Plug y into x° + y° = 90°

x° + 21° = 90°

Solve for x°

x° = 90° - 21° = 69°

Only the smartest person in their math class can help me with this difficult problem!!!

Answers

Step-by-step explanation:

[tex] \tt{(5 {x}^{3} - 3x + 6) - (2 {x}^{2} - 4x + 8)}[/tex]

While subtracting , the sign of each term of second expression changes & remove the parentheses.

⟶ [tex] \tt{5 {x}^{3} - 3x + 6 - 2 {x}^{2} + 4x - 8}[/tex]

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⟶ [tex] \tt{5 {x}^{3} - 3x + 4x + 6 - 8 - 2 {x}}^{2} [/tex]

⟶ [tex] \tt{5 {x}^{3} + x - 2 - 2 {x}^{2} }[/tex]

In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{5 {x}^{3} - 2 {x}^{2} + x - 2}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

I'm the smartest person in my math class.

Step-by-step explanation:

While subtracting , the sign of each term of second expression changes & remove the parentheses.

⟶ 5x³-3x +6-2x²+4x-8

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⟶   5x³-3x+4x+6-8-2x²

⟶  5x³+x-2-2x²

In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

Olivia does chores every Saturday morning. She spends of her time cleaning her room. Of the remaining of her time, she spends of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?

Answers

Answer:

4/7 of her total time cleaning the kitchen

Step-by-step explanation:

Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]

Let

x = her total time

Room cleaning = 1/3x

Time remaining = 2/3x

Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen.

Kitchen cleaning = 6/7 of 2/3x

= 6/7 * 2/3x

= (6*2)x/(7*3)

= 12/21x

= 4/7x

Olivia spent 4/7 of her total time cleaning the kitchen

PLEASEE HELP THIS IS DUE TODAY

Answers

Answer:

The first one is 360 degrees. The second one is 1080.

Step-by-step explanation:

The sum of the interior angles of a quadrilateral are always 360. If you subtract 90 from 360 to get 270. Multiply 270 by 4 to get 1080.

3x^2-24x+50=0
help i write a test!!!

Answers

Answer:

2.8 i think

Step-by-step explanation:

what is the interest on RS. 1000 at 10 p.c.p.a for 1 year.​

Answers

Answer:

Interest wil be 10% of 100  which is 10

So,  interest will be Rs.10

And total amount to be payed will be 100+10 which is Rs.110

Answer:

Interest= Rs. 10

Step-by-step explanation:

Interest of Rs.100 on 10 p.c.p.a is 10% of 100

i.e., 100*10/100 = 10

Thus we have 10 as the interest

275 students brought their lunch. Which was 25% of the students. How many students went on the trip?

Answers

Answer:

1,100

Step-by-step explanation:

Wow that's a lot of students. Anyway, 25% is one fourth of the 100%, so we multiply 275 by 4 and we get 275.

Can anybody help me with this please

Answers

Jan is not correct. The opposite of any number will not always be a positive. This is because the opposite of a positive number is negative and the opposite of a negative number is positive.

Basically, opposite numbers are numbers that are the same distance to 0 on a number line. If we were to have a positive 1, the opposite of that number would be a -1, because that's equally distant from 0 on a number line.

Answer:

Search up the name of the exit ticket and then u get ur answers

Step-by-step explanation:

fin the value of x inthe figure below ​

Answers

16/17 = 22+16/x
16x = 17(38)
x= 40.375
Other Questions
In the diagram of circle M shown, the measure of major arc PRQ=268 . Which of the followingis the measure of angle PRQ ? 1 poi18. In order to prevent distractions and preserve privacy, thisartist is used to depict the proceedings in a trial. *an Illustrator artistsan archaeologista courtroom sketch artistO animator Which is the sum of the first 6 terms of the geometric series?7+21 +63 In the word "unforgettable,""un" is the prefix and "get" is the suffix."for" is the prefix and "able" is the suffix."for" is the prefix and "get" is the suffix."un" is the prefix and "able" is the suffix. PLEASE HELP ME ASAP!!!!!! USE THIS LINK I WILL GIVE BRAINLEASThttps://brainly.com/question/21436005 275 students brought their lunch. Which was 25% of the students. How many students went on the trip? Mark reduce the size of a photo to a height of 4 inches. What is the new width if it was originally 16 inches tall and 8 inches wide? The ratio of the length to the width of the rectangle is 10:6. Of the perimeter of the rectangle is 160 meters, find the measure of the width. Show your work What are the levels of the state court system? Which are trial courts and which are appellate? the questions are in the pictures. What kind of effect did the carpet have on the child? Only the smartest person in their math class can help me with this difficult problem!!! PLEASE HELPP ME ITS DUE IN 30 MINUTES!! What is the chemical name of the compound K2504? Given f(x) = -3x + 5, solve for x when f(x) = -4 Simplify Rewrite the expression in the form 5 ^ n. (5/10)/(5/12) = El profesor Fernndez responde inmediatamente al correo electrnico de Alexis. Completa los espacios en blanco con la forma correcta del verbo ser o estar.Hola Alexis!Gracias por tu correo. ___1 en el cibercaf todava (still)? Yo te ____2 respondiendo inmediatamente porque ____ 3 un poco confundido. No vas a ____ 4 en mi clase que comienza el lunes? Parece que no! Pues, ____5 bien. ____ 6 mejor _____7 en Nicaragua! Cmo _____8 el clima hoy? Hace mucho calor, como siempre? ____9 hmedo en estos das? Sabes que mis padres _____10 nicaragenses? Nac en Estados Unidos, pero _____11 nicaragense de corazn. Y qu coincidencia! Maana, sbado, voy a un concierto tambin, pero _____12 un concierto de msica clsica. El concierto _____13 en el Bayfront Park Miami. ______14 a las dos de la tarde. Los conciertos en el parque ______15 los mejores! Bueno, que te diviertas en Nicaragua y practica espaol!Hasta pronto,Profesor Fernndez Hi! Please without looking it up I am doing my writing and speaking test for Spanish and I'm trying to figure out what is "Then" in Spanish...Mind you they use translator detectors so please don't look it up and just help me with it. This is the sentence "There are more tables in the kitchen then in my room." I literally just need to know what "Then" is in Spanish! Thank you! show that the molecular formula of urea is CH4ON2 if the %by mass of 02 atoms is one mole of urea molecule is 26.66% "Working on rigs is dangerous due to explosions and weather"To which energy type does this apply to?