Mathematics High School

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

i really need help asap

Answers

answer is d (-3,1) hope i helped:)

Answer:

D (-3, 1)

Step-by-step explanation:

Plsss help I’ll give u brainlest and 10 points

Answers

The answer would be B I hope this helps.

Somebody can help me with this ,, I’m going to really appreciate Is function,,, Algebra

Answers

Answer: b

Step-by-step explanation:

itssssssss b :)))))))))(

please help me out ​

Answers

Answer:

C

Step-by-step explanation:

BRAINLIEST PLEASE

Answer: A

Step-by-step explanation:

12 and 16

The line plot shows the pieces of ribbon that Terry can choose for her next craft project.
Terry uses all of the 24 feet pieces.
Number of Ribbon Pieces (feet)
XX
XXX
х
XX+
X+m
1
1 1 1
2 213 21/2 2 1
What is the total length of ribbon Terry uses?
O A 3 feet
OB. 4 and 1/2 feet
Ос. 6 and 1/4 feet
O D. 6 and 3/4 feet
Lo

Answers

I THINK B but I’m not as sure

Which expression is equivalent to (3a + 7) (2a - 5)?
OA. 5a2 - a - 35
B. 5a2 - 29a - 35
O
OC. 6a2 - a - 35
O D. 6a2 - 29a - 35

Answers

Cross multiply
(3a+7)(2a-5)
5a2-15a+14a-35
5a2-a-35
ANSWER:A

how many solutions?​

Answers

Answer:A) no solutions

Step-by-step explanation:

1) set both problems equal to each other

2) subtract four from each side

3) subtract 2x from each side

4) 10 does not equal 0

Answer:

No solution

Step-by-step explanation:

As soon as you minus the equations from each other, the y's and x's cancel out therefore there is no solution

PLEASE HELPPP!!!!
what value(s) of x will make x^2 = 100 true?

A. 50 and -50

B. 10 and -10

C. 10

D. )10

Answers

Answer:

C

Step-by-step explanation:

I choose C because when you have an exponent whatever number u have over the c you multiply whatever number is chosen and when divide 100 by 10 you get 10. Hope I helped❤✌

Answer: 10

Step-by-step explanation:

10 x 10 = 100

50 x 50 = 2,500 which is wrong

-10 x 10 = -100 false

A circle is graphed on a coordinate grid. It’s center is at (3,4), and the circle passes through point (3,1). What is the approximate area, in square units, of the circle?

Answers

Answer:

254.3 sq.units

Step-by-step explanation:

radius of circle

(3,1)-(3,4)= (0,-3)

r= 9 units

Area= πr^2

Area= 254.3 square units

A group of friends went fishing. They each caught 20 fish but not all of them were keepers. Which person was able to keep 3/5 of the fish that he or she caught?

Answers

Answer:

Those who were able to keep 12 fishes

Step-by-step explanation:

Given

Total = 20 (each)

Required

Which was able to keep 3/5

First, we need to calculate 3/5 of the total number of fishes

Fish = 3/5 * 20

Fish = (3 * 20)/5

Fish = 60/5

Fish = 12

From the calculation above, only those who keep 12 of the 20 fishes were able to keep 3/5 of their fishes

2 2/3 divided by 1 1/6

Answers

Answer:

2.28

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

calculated

Can someone help me?

Answers

X=15, all you have to do is multiply

Step-by-step explanation:

total angle in a triangle180

<a +<b+<c=180

when u get x

put it in <b

then u get the value

Answer fast plzzzzzzzzz

Answers

Answer:

its C

0.058

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3/4 x 5/6 plssssssssssss help

Answers

the answer is 5/8 :)

3/4*5/6

cross out 3 and 6 and divide by 3

3/3=1

6/3=2

1/4*5/2

multiply the numerator together

1*5=5

multiply the denominator together

4*2=8

1/4*5/2=5/8

answer:

5/8

plz help me asnwer this

Answers

Answer:

x= 0

y= -3

Step-by-step explanation:

6x-5y=15

substitution...

6(y+3)-5y=15

6y+18-5y=15

y+18=15

-18     -18

y= -3

substitution again...

6x-5(-3)=15

6x+15=15

-15      -15

6x=0

/6   /6

x= 0

Answer:

(0, -3)

x = 0

y = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

6x - 5y = 15

x = y + 3

Step 2: Solve for y

Substitution

Substitute in x:                               6(y + 3) - 5y = 15Distribute 6:                                   6y + 18 - 5y = 15Combine like terms:                      y + 18 = 15Isolate y:                                         y = -3

Step 3: Solve for x

Define original equation:                    x = y + 3Substitute in y:                                     x = -3 + 3Add:                                                      x = 0

Urgent!!!!

If you were 6' 6 1/2" tall, about how many meters tall would you be? Hint: "There are 3.28 feet in a meter."

6.4 meters
2 meters
1.8 meters
7 meters
3.5 meters

Answers

Step-by-step explanation:

2 meters is the answer

please give me brainliest

Samantha is on the basketball team. At her game, she scored 19 out of 25 baskets. What percentage of shots did Samantha make?

Answers

Answer:

SAMANTHA IS ON A BASKETbALL TEAM I  NEVER KNEw

Step-by-step explanation:

She made 76% of the shots she took

Find the rule, and type the missing number in the sequence. 920, 855, 790, ____

Answers

It’s “725”, just subtract it by 65..
It’s 725,just by subtracting it by 65...

which list shows the area ordered from greatest to least​

Answers

Answer:

C

Step-by-step explanation:

i think

The correct answer is C

12. What is the length of the radius of a circle whose area is 100x?
A. 5
B. 10
C. 20
D. 25

Answers

Answer:

A.5

Step-by-step explanation:

d=2 sqare root Area÷pi

d=11.2 ÷2

radius = 5

4 + 3x = 3х + 5
4 = 5

Answers

Answer:

4≠5

There is no solution

Step-by-step explanation:

Use the table to find the ratio. Enter the ratio as a fraction in simplest form.


Color of socks
Numberof socks


white
black
blue
brown
3
8
6
3

The ratio of white socks to brown socks is

Answers

The answer is 1/1 or 1

Which equation is an increasing linear relationship?
y=-100x+150
y=100x-150
y= -10x

Answers

The answer is 5x because it’s added

2x + 3y = -10
5y = 4x - 2

Answers

Answer:

(-2, -2)

Step-by-step explanation:

Answer:

(-2,-2)

Step-by-step explanation:

M a t h w a y

Someone please help me!!

Answers

Sorry the question isn’t loading on my screen

Mai is flying a plane at an altitude of 1600 ft. She sights a stadium at an angle of
depression of 35°. What is mai’s approximate direct distance to the stadium?

Answers

Answer:

2,789ft

Step-by-step explanation:

The set up will give a right angled triangle.

The altitude will be the opposite side = 1600 ft

The angle of depression = 35°

approximate direct distance to the stadium is the hypotenuse of the trisngle= x

Using the SOH trig identity to get the distance

sin 35 = opp/hyp

sin 35 = 1600/x

x = 1600/sin35

x = 1600/0.5736

x = 2,789.4ft

Hence mai’s approximate direct distance to the stadium is 2,789ft

Help plsss and Idk if you can see the questions or not but if u can't lmk

Answers

A:

y=(oranges, x, for example)/4

B:

1: 1.25

2: 24

Solve for X:
WILL GIVE BRAINLIEST!

Answers

The whole thing all together is 120 and the total woulde be 190 for that shape so your answet is 70 :D

2х + Зу = 9
3х + 5y = 16
Elimination

Answers

x=-3, y=5

2х + Зу = 9

3х + 5y = 16

6x + 9y = 27

6x + 10y = 32

-y = -5

y = 5

2x + 3(5) = 9

2x = 9-15

2x = -6

x=-3

The answers are X=-3 Y=5

Brainliest if correct please help

Answers

Answer:

3/10

Step-by-step explanation:

so 1/5 probability

3 is the frequency so

10 times spun

3/10 is the answer

Other Questions
How many liters will 90.0 grams of xenon gas (Xe) occupy at STP?HELP PLEASE Typing in reda.interpreted as yelling or angerb. is a good way to catch your readers attentionc. helps to emphasize important pointsd. is essential when writing emails Which concluding sentence best reflects the writer's voice? O He taught me about chess legend Garry Kasparov, and together we dissected his games. O I like chess because it's super fun, and someaday I'll beat my uncle at his own game. 3. Sam and Tim each have savings accounts. Every month they each put in some of theirearnings from mowing lawns. Use the tables to find the y-value of the solution to thesystem shown.1234f(x)801101401701234g(x)100120140160 The relationship between Lennie and George is an odd one to say the least. There are visible tensions between the "friends".Take a moment to reflect on the TENSION between the two. Write a short paragraph in which you reflect and discuss the TENSION between the two. A line segment AB has the coordinates A (2,3) and B ( 8,11). Answer the following question. What is the slope of AB? i think this the right answer im not sure. can anybody help please!! [Chorus:] Two households, both alike in dignity, In fair Verona, where we lay our scene Romeo and Juliet, William Shakespeare Which phrase best restates two households? Which phrase best restates alike in dignity? Which phrase best restates fair Verona? A salesperson at a jewelry store earns 3% commission each week. Last week, Heidi sold $750worth of jewelry. How much did she make in commission? How much did the jewelry store makefrom her sales?Heidi earned $ in commission. Need help with this. Can dialogue in a memoir still be considered a part of narration mode since its technically answering the question of "what happend?" Can someone pls help Help please I really need this "Between 1750 and 1760, an intricate interlocking of circumstances set coal to rule the world, not through new discoveries of coal itself but rather through improvements in spinning and weaving machinery which made possible the massing of large numbers of spinners and weavers for large-scale production. . . . It was at the call of the master weavers and spinners of England that the steam engine was set to run the machines; then to furnish a blast so that coal might be used to cheapen the smelting of iron and steel so that more machines might be made; then to pump out the deepening mines so that more and more power to keep the machines running might be won. Steam raising was coal's first great play for power and it is the work through which it still holds its industrial supremacy. Between 1800 and 1900 coal-driven engines multiplied until . . . they were producing energy equivalent to seventy million horse-power; during the first twenty years of the twentieth century, their power-producing capacity more than doubled. So coal wrought the industrial revolution, the greatest revolution in all human history, which transformed social and economic life as radically as the geographical revolution transformed the earth's surface.Robert W. Brure of the Bureau of Industrial Research in America, The Coming of Coal, 1922a) Identify ONE specific example of the environmental influences and consequences of the Industrial Revolution that would support the author's argument.b) Explain ONE specific example of how coal helped power new inventions that would support the author's argument.c) Explain ONE specific example of how mining coal helped transform social and economic life that would support the authors argument. PLEASEE HELP ITS DUE TODAY HOW DOES THIS IMPACT THE FUED BETWEEN THE MONTAGUES AND CAPULETS PLEASE HELPA plague on both your houses!Romeo and juliet Determine the slope of the line that contains the given points.T(5, 6), V(8, 8)a. 0b. c. d. what colors were used in the painting lascaux 5 (-8n +5) -4n only right ANSWERSSS Gwen bought a total of 35 pieces of licorice. She bought 4 times as many red pieces as she did black pieces.a. Write a system of equations that represents the number of pieces of each kind of licorice that Gwen bought.b. Solve the system by substitutionc. Interpret the solution