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

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

Answers

The answer is 5x because it’s added

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

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 :)))))))))(

Answer fast plzzzzzzzzz

Answers

Answer:

its C

0.058

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

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

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

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

4 + 3x = 3х + 5
4 = 5

Answers

Answer:

4≠5

There is no solution

Step-by-step explanation:

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

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

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

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

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

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

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

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

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

Someone please help me!!

Answers

Sorry the question isn’t loading on my screen

please help me out ​

Answers

Answer:

C

Step-by-step explanation:

BRAINLIEST PLEASE

Answer: A

Step-by-step explanation:

12 and 16

which list shows the area ordered from greatest to least​

Answers

Answer:

C

Step-by-step explanation:

i think

The correct answer is C

i really need help asap

Answers

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

Answer:

D (-3, 1)

Step-by-step explanation:

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...

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

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

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

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

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

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
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