Un groupe d'amis décide d'organiser une sortie au restaurant. Ils prennent contact avec un restaurateur qui leur propose une formule à 20 € par convive. Le jour de la sortie, cinq personnes ne peuvent venir. Les participants doivent alors payer 22 € par personne. Combien de personnes étaient initialement prévues ?

Answers

Answer 1

Answer:

55

Step-by-step explanation:

Assuming that, initially, there were x people at the time of planning.

As given that, initially, the cost for 1 person = € 20

So, Total cost = € 20x ...(i)

As on the day of the outing, five people cannot come, so the number of people on the outing = x-5.

Now, due to the lesser number of people, i.e (x-5), the cost for 1 person = € 22.

Total cost = € 22(x-5) ...(ii)

As total cost remains the same, so equation the total cost from equations (i) and (ii), we have

[tex]20x= 22(x-5) \\\\\Rightarrow 20x=22x-22\times 5 \\\\\Rightarrow 22x-20x= 110 \\\\\Rightarrow 2x=110 \\\\\Rightarrow x=110/2=55.[/tex]

Hence, at the time of planning, there were 55 people.


Related Questions

Which expression is equivalent to 9-3?
3(y-1)
3(3y-1)
9(y-3)
9(3y-3)
if its correct I will give brainliest!♡​

Answers

Answer:

B because 3*3=9 And 3*1=3 so it would be 3(3y-1) foil the answer

Step-by-step explanation:

The answer is B, I took the test.

I believe the correct answer would be 3(3y-1) which equals 9y-3

One week, Ellie earned $72.50 at her job when she worked for 5 hours. If she is paid
the same hourly wage, how many hours would she have to work the next week to earn
$232.00?

Answers

Answer:

The corect answer is 16.

Step-by-step explanation:

$ 72.50 per 5 hours = $14.50 per hour ....

because 72.50 ÷ 5 = 14.50

THEN

$232.00 ÷ $14.50 (in other words→23200 ÷ 1450) = 16

Thats it, I also needed help but after hours of consideration I got it.

Problem Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter. Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.

Answers

Complete question :

Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.

Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.

How much will Sathish pay for gas?

Answer:

$64.8

Step-by-step explanation:

Given that :

Total length of trip = 2100 km

Length of journey with Satish alone in the car:

(150km) beginning + (150km) ending = 300km

Length of journey with Satish and 2 friends :

2100 km - 300 km = 1800 km

Gas consumption:

6 liters per 100km

Cost of gas = $1.2 / litre

Consumption when Satish is alone :

(6 litres /100 km) * 300km = 18 litres

Cost = $1.2 * 18 = $21.6

Consumption with his 2 friends :

(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres

Cost = $1.2 * 108 = $129.6

Since amount is shared equally :

Amount paid by sattish = $129.6 / 3 = $43.2

Hence, total amount paid by Sattish is :

$21.6 + $43.2

= $64.8

Answer:

64.80 or 64.8

Step-by-step explanation:

whatever works <333

describe transformation given by (x,y) (x, y + 2)

Answers

Answer:

This graph has been translated. Translation is when the image on the graph has been shifted along one or both of the axis. In this case, the graph has been shifted up two units as shown by the operation of addition on the y-value. Remember that translations are rigid movements, so the new image will be congruent to the pre-image.

Graph
Y=3/4x - 1/2
Pleaseeeee help!!

Answers

I’m not 100% sure kind of a guess but I would x=2/3. Good luck
Ok let me help hope this works 3/4 x 1/2= 2/3

Solve the system.

y=6x-1

y=3x-4

The solution is _____
.

Explain your choice of method.

Answers

Answer:

(-1, -7)

Step-by-step explanation:

Solve by graphing.

Graph the two equations together.

The lines intercept at (-1, -7).

Hope this helps.

Answer:

Solution: (-1, -7)

Step-by-step explanation:

6x - 1 = 3x - 4

Subtract 3x from both sides;

3x - 1 = -4

Add 1 to both sides;

3x = -3

Divide both sides by 3;

x = -1

Substitute x into the equation;

y = 3(-1) - 4

y = -3 - 4

y = -7

If 4 soap cakes cost Rs 50, find the cost of 3 dozen soap cakes.

Answers

50 divided by 4 is 12.5, so it is 12.5 for 1 soap cake, 12.5 x 36 is 45.0

The answer is 45.0

Mark Branliest!

The answer is $45.000

Multiply
(1.4 x 105)(2 x 107)

Answers

Answer:

31458

Step-by-step explanation:

(1.4 x 105) = 147

(2 x 107) = 247

147 x 247 = 31,458

Jennifer had 3 \frac{3}{4}
4
3

lbs of tomatoes. She used \frac{1}{3}
3
1

OF that amount to make a salad. How many pounds OF tomatoes did she use? (LEAVE ANSWER AS A MIXED NUMBER)

Answers

Answer:

She used 1/4 of a pounds for salad

Step-by-step explanation:

Here, we want to calculate the amount of pounds of tomatoes used to make salad

From the question, she has 3/4 pounds and used 1/3 of what she has to make salad

What she used will be;

3/4 * 1/3 = 1/4

5+9(1)+2^2

due in 4 mins please show work

Answers

Answer:

The answer is 18

Step-by-step explanation:

5+9(1)+2^2

=5+9+4

=18

Answer:

18

Step-by-step explanation:

9*1=9

2^2=4

9+4+5=18

jontae went to brunch with his family and offered to pay the bill.The total bill was $54.19 before tax. If there is a 15% how much does he pay in taxes

Answers

Answer:

$62.32

Step-by-step explanation:

54.19 · 15/100 = 812.85/100 = 8.1285

simplify 8.1285, so it's 8.13

$54.19 + $8.13 = $62.32

help plss i will mark brainliest

Answers

Answer:

x = 8

Step-by-step explanation:

10 x 8 = 80 and the bottom would equal 80 as well so you would get 1 ^^

Answer:

x =25/2

10/8 = x/10

- Cross multiply

8x=100

- Divide both sides by 8

x=100/8

- Simplify

x=25/2

Hope This Helps!

The population of a town is increasing at a constant rate of 4.7% each year. At the beginning of 2010 the population was 42,000. Find the size of the population at the beginning of 2016. Give your answer to 3 sf.

Answers

Answer:

The population at the beginning of 2016 is 55,326.

Step-by-step explanation:

Giving the following information:

Population 2010 (PV)= 42,000

Growth rate (g)= 4.7% = 0.047

Number of years (n)= 6 years

To calculate the population at the beginning of 2016, we need to use the following formula:

FV= PV*(1+g)^n

FV= 42,000*(1.047^6)

FV= 55,326

The population at the beginning of 2016 is 55,326.

Please hurry!! Steven and Dan like to play a lot of video games. On Sunday, Dan played 4 fewer than twice the number of hours that Steven played. They played a total of 17 hours on Sunday. Which system of equations models this situation if Steven played s hours and Dan played d hours?

A) d=4-2s s+d=17

B) s=2d-4 s=17-d

C)d=2s-4 s+d=17

D)s=4-2d d=17-s

Answers

Answer

Step-by-step explanation:

Answer:i think A or C

Step-by-step explanation:

i'm not sure about my answer but i chose C and i don't know if i got it wrong or right but its either both of them i hope this helps.

The point (1,0) lies on the graph of
P(x) = x^4 - 2x^3 - x+2
A. True
B. False

Answers

Answer:

The given statement is true.

Step-by-step explanation:

Given function is:

[tex]P(x) = x^4 - 2x^3 - x+2[/tex]

And the given point is:

(1,0)

In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.

For (1,0) we will put x = 1 in function and check whether we get 0 as output

[tex]P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0[/tex]

Hence,

The given statement is true.

Answer:

A. True

Step-by-step explanation:

y

What is the equation of the line in it's simplest forms

Answers

Answer:

you to be the line smell the line and thats it

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

2nd answer

Step-by-step explanation:

Answer: 6, 10, 16

Reason:
with a triangle the longest angle should be lower than the two smaller angles combined.

Take for instance

5, 11, 15

5+11= 16

16 is greater than 15

12+ 20= 32

32 is greater

12 + 20 = 32

32 is greater than 30

10 + 6 = 16

16 is not greater than 16

Hope this helps

Original Equation: -5x + 2 = 5
First Step: --5x = 3

distributive property of multiplication over addition
subtraction property of equality associative property of addition
division property of equality​

Answers

Answer:

subtraction property of equality.

Step-by-step explanation:

the change made in the equation is that you subtracted 2 on both sides, which cancels out the 2 on the left and equals the 3 on the right. hope this helps :)

Factorise
X squared + 13x + 40

Answers

(x+8)(x+5) as
13 = 8 + 5 and
40 = 8 x 5
hope this helps! :)

Consider these functions:

f(x) = 2x3 + 3

g(x) = x – 4

What is the value of g(f(x))?

Answers

Answer:

2x^3+3-4

Step-by-step explanation:

Answer:

2x^3 - 1

Step-by-step explanation:

Plato/Edmentum

Blake sold 17 verses for $3.25 each he spent $16.21 on materials to make the vases what is the profit

Answers

Answer:

We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:

17 * 3.25 = $55.25

Now, we know he got 55.25 dollars but he spent 16.21, so we substract:

55.25 - 16.21 = $39.04

His profit selling that is of 39.04 dollars..

How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?

Answers

Answer:

You'll pay $3013

Step-by-step explanation:

Amount to pay=$2620+Interest accrued

A=$2620+($2620×0.03×5)

A=$2620+$393

A=$3013

plzzzz some one help I want step by step I'm confused What's 5⁄6 of £300

Answers

Answer: 15

Step-by-step explanation:

the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p

Answers

Answer:

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

To solve more questions on equation modelling, visit the link below-

brainly.com/question/9144182

#SPJ2

You have to get everything on your list in 5 moves.
Can you do it?
Help please

Answers

목록에있는 모든 것을 5 개의 동작으로 가져와야합니다.

HELP PLZ!!!!! A fireman's ladder is placed against a wall. The bottom of the ladder is 15 ft away from the wall and the top of the ladder touches the wall at a point 80 ft above the ground. Assuming that the slope is positive, what is the slope of the ladder? Round your answer to the nearest hundredth.

Answers

Answer:

5.3

Step-by-step explanation:

We know that the bottom of the ladder is 15 feet from the wall, and it touches the wall 80 feet above the ground.  Imagine it like two points on a graph.  One is at the origin (0,0).  That represents the bottom of the ladder.  The next one is at (80,15), which represents where the top is.  To find slope, we divide rise (y-values) over the run (x-values).  The y value increases by 80, while the x increases by 15.  80 divided by 15 equals about 5.3

Can you help meh pls

Answers

me * not meh. Couldn’t help you on your problem but I helped you with your spelling.

Solve for ... 2x + 3 ​

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Anyone know this pls help me

Answers

The correct answer is -4, I hope this helped:)

the number line at the right models an addition sentence select all the situations below could be modeled by the addition sentence.

Answers

The first and last one are correct
Other Questions
Find the distance between the pair of points (2,-5) and (3,-7). True or False: The French colonists had better relationships with the NativeAmericans than the English colonists. can someone tell me how to do this???? About 5% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in groups of 400. The raccoon population decreased how will the decrease in the raccoon affect other population like the owl and duck and frog SOMEONE, PLEASE HELP LITERALLY STRUGGLING!!!!!! Circle 1 represents students involved with drama after school, circle 2 represents students involved in sports, and circle 3 represents students in academic club activities. What can you conclude about students who fit in region B?A.Region B represents the students involved in sports only.B.Region B represents the students involved in sports and academic clubs.C.Region B represents the students involved in drama and sports.D.Region B represents the students not involved in academic clubs.Please select the best answer from the choices providedABCD HI my name is summer im a F my email is summerander12 is yall what to ch at you dont have to i really dont care A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 16 years with a standard deviation of 5 years. If the claim is true, in a sample of 32 wall clocks, what is the probability that the mean clock life would be greater than 15.6 years help me............. A wooden artifact is found in an ancient tomb. Its carbon-14 14 6 C activity is measured to be 65.0% of that in a fresh sample of wood from the same region. Assuming the same amount of 14C was initially present in the artifact as is now contained in the fresh sample, determine the age of the artifact. PLZ HELP WILL GIVE BRAINLIEST Which of the following best describes how the types of cell reproduction relate to major groups of organisms?Group of answer choicesMeiosis only occurs in organisms that reproduce sexually.Meiosis only occurs in plants and fungi.Mitosis occurs only in animals with backbones.Mitosis occurs only in organisms that have cell walls. The price of the radio was $14. The sales tax was 3.5%.What was the total cost of the radio, including the salestax? What goes in photosynthesis and what comes out of photosynthesis? Figurative Language: "Solitary as an oyster" is what type of figurative language. A comparison is make using "like or as." A metaphorB simile How do I install another part on campaign call of duty cold war? please help.(best answer will get branliest. I am fine, now don't worry about me,The girl who dreams of death in her sleep.For fear is only a thing that creeps,Until it takes over and knocks you off your feet.Then... drags you down six feet underneath The main reason the Articles of Confederation was weak was becauseObThe states had the majority of the powerThe federal government had the majority of the powerPower was shared between the state and central government Fill in the blanks. A person would weight more on Neptune than on planet blankbecauseblank Name the set of numbers that 7 belongs. Help! Solve for r.12=r-(34-2)