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 ?
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.
The price of a ride pass at a fun park is $65. What is the
sale price after a 35% discount?
Answer:
What is 35% off 65 Dollars An item that costs $65, when discounted 35 percent, will cost $42.25 The easiest way of calculating discount is, in this case, to multiply the normal price $65 by 35 then divide it by one hundred. So, the discount is equal to $22.75.
Harley was eating pizza and had already eaten six pieces before his sister, Samantha, got home. Samantha was worried that she was not going to get a fair share of the pizza and wanted to know how many pieces were in the pizza originally. Harley told her, "I have only eaten 3/8 of the pizza. How many slices where in the pizza when it was whole
Answer:
16 pieces of pizza when the pizza was whole.
Step-by-step explanation:
You know that 6 pieces are equal to 3/8 of the pizza.
Let x represent the total number of pieces and write an equation:
3
-- times x = 6
8
Multiply each side of the equation by 8:
8 times 3
-- x = 8 times 6
8
3x = 48
Divide each side of the equation by 3:
3x 48
--- = ---
3 3
x = 16
Due in half hour, please help!
Answer:
Your answer will be 69
Step-by-step explanation:
3x + 45= 60 solve for x
Answer:
x=5
Step-by-step explanation:
3x + 45 = 60
-45 -45
3x = 15
15 ÷ 3= 5
x= 5
-I hope this helps have a great day!
Help pls I’m getting timed
Which algebraic expression represents "a number divided by nine"?
9 + a
9а
9/a a/9
Answer:
a/9
Step-by-step explanation:
Why is 2020 edge so hard and annoying I’m on edge 10 hours a day! Here is 14 points
Answer:
hey i lucked out again
Step-by-step explanation:
And yea 2020 edge is very hard
help PLEASEE BRAINLIST
Answer:
The first two on the right will not be used
3. goes to 1.
4. goes to 2.
5. goes to 4.
6. goes to 3.
Step-by-step explanation:
Line BC is represented by 3x + 2y = 8. Line AD is represented by –3x – 2y = 6. What is the relationship of line BC to line AD? Explain how the sum of the equations demonstrates this relationship.
Answer:
2
Step-by-step explanation:
if you suntract the 2 you, 3x cancels 2y cancels, 8-6 is 2
Answer: Line BC is parallel to line AD. The system of equations has the sum 0 = 14. Since this is a false equation, the system has no solution, which means the lines will never intersect.
Step-by-step explanation:
round 0.927 to the nearest hundreth
Use the given information to write the equation of the line in slope-intercept form.
Slope -6
Y intercept (0,-9)
Line L1 has the equation 7x - y = - 10
Answer:
X = 1.42857
Y = 10.00000
I hope this helps!
Mark as Brainliest!
Please help me with this
Answer:
t = 39
Step-by-step explanation:
the diagonals of a parallelogram bisect each other, therefore t = 3t - 78 further solving this equation we get
2t = 78 and then t = 39
What is the y-intercept of the line: y=-2x+6
Answer:
The answer is 6 because the y int is the last number
Answer:
6
Step-by-step explanation:
The line is written in slope-intercept form, which is y=mx+b.
mx represents the slope and b represents the y-intercept.
What is the y intercept of the line 2x + 3y = -15?
Answer:
y intercept: (0,-5)
Step-by-step explanation:
what is the value of f(x) when x=3 -3 -3 1 4
Answer:
C 0<h<1400
Step-by-step explanation:
You have to calculate the first 40 hours of pay at a 20$ rate which is $800. Then you have to calculate the overtime which is the remaining 20 out of 69 hours he can work times 30$ which is $600
$600+$800=$1400, which is the maximum amount he could make
Is the following not a function ?
Answer:
Yes
Step-by-step explanation:
The "x" is not supposed to be the same. The input has to be different.
3) The ratio of blue chairs to red chairs in Ms. Escobedo's class is 4 to 7. Which of
the following cannot represent the total number of chairs in Ms. Escobedo's
class?
Answer:
20
Step-by-step explanation:
7+4=11
11 multiplied can be 22, 33, and 44 but not 20
who can help me . “ GIVEN THE FOLLOWING INFORMATION , WRITE THE EQUATION IN SLOPE INTERCEPT FORM”
Calculate the measure of ∠ PMU and ∠ UPM.
m∠ PMU =
m∠ UPM =
Answer:
The Exterior Angle Theorem states that the measure of the exterior angle of a triangle is
equal to the sum of the measures of the two remote interior angles of the triangle. Angle
PMU is an exterior angle to nPBM and its corresponding remote interior angles are /PBM
and /BPM. So, I can calculate the sum of those two angle measures to find the measure
of /PMU
Step-by-step explanation:
Here is the question again
Answer:
[tex]\huge\boxed{11}[/tex]
Step-by-step explanation:
[tex]\sf = y^2-x^2\\\\Put \ y = 6 \ and \ x = 5\\\\=(6)^2-(5)^2\\\\=36-25\\\\= 11\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Evaluate the expression sv2 for s = 11 and v = 8
help please quick
On the radio one morning, a weather reporter stated that the tempature was two degrees below zero, but the tempature would cotinue to rise throughout the day. Which inequality can be used to represent readings, T, that day? A. T < -2 B. T < -2 ( _ UNDER < ) C. T > - 2 D. T > -2 ( _ UNDER >)
Answer:
T ≥ -2
Step-by-step explanation:
Given
Temperature = 2° below 0°
Required
Represent as an inequality
First, we need to calculate the temperature in the morning.
2° below 0 means.
Temperature = 0° - 2°
Temperature = -2°
Next, we determine the temperature at any time.
The question says the temperature continues to rise during the day.
Represent this with T
This means T will be greater than -2°
However, we need to consider where the temperature started from.
In other words, T = -2
Combine T = -2 and T = -2 together, we have:.
T ≥ -2
Hence, the inequality that represents the scenario is T ≥ -2
Tony hangs lights in his back yard. The rule c=14f gives the number of lights, c, there are for each foot, f, of wire. How many lights are on 8 feet of wire?
Answer:
112 lights
Step-by-step explanation:
The rule c=14f gives the number of lights, c, there are for each foot, f, of wire.
We need to find the number of light on 8 feet of wire.
Put f = 8 in the given rule equation
c = 14 × 8
= 112
Hence, there are 112 lights on 8 feet of wire.
6th grade math help me pleaseeee
Answer:
-27
Step-by-step explanation:
whatt is -1/6 x 5/6 ok help ok
Answer:
-5/36
Step-by-step explanation:
-1*5 = -5
6*6 = 36
-5/36
She needs to find her maximum heart rate m by subtracting her age a from 220 write an equation she can use
Answer:
220 - a = m
Step-by-step explanation:
her age is the variable "a"
Help ill give brainlist
Answer:
Congruent is the answer
select the correct answer from each drop down menu
a relation is defined by the points (1,4), (3,-1), (-1,-2) and (1,-3)
this relation (is) (is not) a function because there (is no x-value) (is one x-value) (are two x-values) corresponding to multiple y-values.
Answer:
The answer is that the relation is not a function. because there are two x-values corresponding to multiple y-values
Step-by-step explanation:
Here we want to explain why the given set of points do not represent a function
For a function, we can have same y value for different x value
But, we cannot have same x value for different y value
The sets of point given however has 2 y-values having same x value and as such the points cannot form a function (1,4) and (1,-3)
Identify the slope (m) and y-intercept (b) of each linear equation.
52. 3x+4y=24
Answer:
Step-by-step explanation:
[1] 3x - 4y = -24
[2] -x - 16y = -52
Graphic Representation of the Equations :
-4y + 3x = -24 -16y - x = -52
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -16y + 52
// Plug this in for variable x in equation [1]
[1] 3•(-16y+52) - 4y = -24
[1] - 52y = -180
// Solve equation [1] for the variable y
[1] 52y = 180
[1] y = 45/13
// By now we know this much :
x = -16y+52
y = 45/13
// Use the y value to solve for x
x = -16(45/13)+52 = -44/13
Solution :
{x,y} = {-44/13,45/13}