=========================================
Explanation:
x = number of people
Without the discount, each person pays $72, so the total cost is 72x dollars if x people go through the gate individually.
Now applying the group discount, those x people pay 72-25 = 47 dollars each. Meaning the total cost is now 47x. Keep in mind that [tex]x \ge 15[/tex] in order for the discount to kick in.
Subtracting the two amounts leads to 72x-47x = 25x. It is not a coincidence that we get a coefficient of 25 here.
Set this equal to 500 and solve for x
25x = 500
x = 500/25
x = 20
------------
If x = 20 people attend individually, then they pay 72*x = 72*20 = 1440 dollars.
If 20 people go as one group, they pay 47x = 47*20 = 940 dollars
We have a savings of 1440-940 = 500 dollars. This confirms the answer.
All 20 people must go as one group if they want to save $500.
Write down the gradient of the line y =-4r+7.
the graph shows the total number of inches of snow that fell in a town in february over ten year period. what is the approximate probability that year 11 will have more that 15 inches of snow?
Answer:
0.6 because its 58% chance which is 0.58 which rounds to 0.6
Step-by-step explanation:
Solve for r.
r + 7 < 6 or r + 8 > 18
Write your answer as a compound inequality with integers.
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Answer:
-216
Step-by-step explanation:
I think
brainlist plz
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
-3.21
Step-by-step explanation:
If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)
Una empresa dedicada a la venta de buzos en La Victoria, dispone para la confección de 500 m de tela algodón y 520 m de tela poliéster. Cada pantalón del buzo necesita 1 m de algodón y 2 m de poliéster; para cada casaca se necesitan 2 m de algodón y 1 m de poliéster. La ganancia por cada pantalón es de S/ 9 y la ganancia por cada casaca es de S/ 12. El fabricante sabe que sus máquinas en promedio demoran 4 minutos en confeccionar un pantalón y 10 minutos en confeccionar una casaca; él promete entregar un pedido en una semana trabajando sus máquinas de lunes a viernes 8 horas diarias.
a) Modele la función objetivo y elabore el SIL para las restricciones.
b) ¿Cuánto será el pedido máximo de buzos (casaca y pantalón) que podrá entregar en una semana de trabajo? ¿Cuánto será su ganancia máxima?
Answer:
x₁ = 60 pantalón de buzo
x₂ = 0 casaca
z(max) = 540 unidades de monedas
Step-by-step explanation:
El problema se resolverá usando un software de solución de problemas de optimización (integer linear programming solver)
z = 9*x₁ + 12*x₂ a maximizar
Sujeto a:
1) Primera restricción disponibilidad de algodón 500 m de tela
1*x₁ + 2*x₂ ≤ 500
2)Segunda restricción disponibilidad de poliester 520 m de tela
2*x₁ + 1*x₂ ≤ 520
3) Tercera restricción tiempo disponible 8 h/d * 5 d/s = 40 h/s
40 * 60 = 240 minutos disponibles, entonces
4*x₁ + 10*x₂ ≤ 240
4)Restricciones generales x₁ ≥ 0 ; x₂ ≥ 0 ambas solo deben tomar valores enteros
Con el uso del calculador en línea se obtiene:
x₁ = 60
x₂ = 0
z(max) = 540
As Mexican troops drew closer to the Alamo, the Texans ________________.
a.
retreated to smaller quarters within the mission chapel
b.
sent word to Gonzales for reinforcements
c.
sent word to the United States requesting statehood
d.
suffered a rebellion from within the fort
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation: I took it on a test and got it right
What is 4/5 divided 1/3
The width of a rectangle is twice the length. The perimeter is 102 feet. Find the dimensions .
Answer:
he formula for perimeter is the sum of
twice the width and twice the length, so
the formula would be:
Perimeter = 2W + 2L
In this problem:
Width is unknown (x)
Length is twice the width (2x)
and Perimeter = 60, so to set it up:
102= 2x + 2(2x)
102= 2x + 4x
102 = 6x
x = 10
Step-by-step explanation:
I DONT KNOW MUCH ABOUT THIS TOPIC . I HOPE IT HELPS
2 An art studio charges $65 per month for art lessons. There is also an additional supply fee of $25 at the time of registration. Which equation best describes the total cost, c, given the number of months, m?
Answer:
The equation should be, 65m+25=c
Answer: it’s going to be c=65m+25
Step-by-step explanation:
Area =
44 ft?
(x - 12) ft
(x - 5) ft
length:
width:
ft
Answer:
x= 16 ft
length = 4 ft
width = 11 ft
Step-by-step explanation:
The area is length* width
so the length is ( x - 12 )
and the width is ( x - 5 )
the area is 44ft
so now set up an equation and solve for x
( x - 12 ) ( x - 5 ) = 44
distribute
x^(2) - 17x + 60 = 44
inverse operations
x^(2) - 17x + 60 = 44
- 60 - 60
x^(2) - 17x = -16
factor
x^(2) - 17x = -16
x ( x - 17 ) = -16
now it is pretty clear that the answer is:
x = 16
just substitute it into the equation and check
( x - 12 ) ( x - 5 ) = 44
( 16 - 12 ) ( 16 - 5 ) = 44
( 4 ) ( 11 ) = 44
44 = 44
this also shows that
the length is 4
because:
( x - 12 )
= ( 16 - 12 )
= 4
and the width is 11
because:
( x - 5 )
= ( 16 - 5 )
= 11
Can someone please help, ty!! (Will mark brainliest)
Answer:
Its the first one!!
Have A Nice Day!!!!!!
:)
Miguel works for a company that installs and repairs dishwashers. Last week he installed 3 and repaired 4 dishwashers. What is the ratio of Miguel’s total jobs to dishwashers that he repaired?
Answer:
ewhyfreu62
Step-by-step explanation:
Please help guys this has to be do in 10:00 please help
Answer:
1)14oz
2)28oz
Step-by-step explanation:
1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)
42*1/3=14
So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.
So that means she has 28 oz of water left when she gets there.
How old am I if 200 reduced by 4 times my age is 56
Answer:
Um, Reduce means divide sooo.... I think you'd be 100?
Step-by-step explanation:
Make a table for the function. You will be using your table to graph on the next pro y - 2x + 3 Domain:{-3, -1, 0, 2} х y - 1 0 2
[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]
[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]
[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]
[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]
which time has the definition the location where the X and Y axis intersect the ordered pair is (0,0)"? A Ordinate B Abscissa C Origin D Quadrant
The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?
Answer:
20
Step-by-step explanation:
Answer:
-10, 0, 10, 20, 30, etc.
Step-by-step explanation:
There are multiple elevations greater than -20
If you add +10 you will get closer to the positives. Any positive is greater than -20, EVEN 0!
Silvi has a coupon for $5 off any one item at her favorite store. She must pay 6% sales tax on the discounted price. Which of the following functions represents Silvi's final cost, c, for an item with an original price of x dollars?
Answer:
vz
Step-by-step explanation:
The requried function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Let's break down the problem into steps to determine the function that represents Silvi's final cost:
Apply the $5 discount to the original price x:
New price = x - 5
Calculate the amount of sales tax on the discounted price:
Sales tax = 0.06 * (x - 5)
Add the sales tax to the discounted price to get the final cost:
Final cost = (x - 5) + 0.06 * (x - 5)
Simplifying this expression, we get:
Final cost = 1.06x - 5.3
Therefore, the function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.
Learn more about function here:
brainly.com/question/21145944
#SPJ3
what’s the decimal expansion of 4/11
Answer: 0.36363636
Step-by-step explanation:
What is 300 as a decimal
Answer:
300.00
Step-by-step explanation:
Dylan solved the following problem:
258
34
X
----------------------------
1032
+ 774
-------------------
Aubrey says that Dylan is incorrect. What was Dylan’s mistake? What could you do to fix it? Explain your thinking
Please help ASAP
is multiplication of 258 into 34 was incorrect the answer to 138 into 34 was 8772 so on adding 774 to 8772 it will be 9546
3. A recipe for apple cider calls for 4 cups of apple juice and 3 cups of water. Which equation can be used to find x, the percent of apple juice in the recipe?
Answer:
what are the options
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A certain brand of MP3 player will display how long it will take to play through its entire music library.If the maximum number of songs the MP3 players can hold is 1,000 (and the average song length is 4 minutes), would you want the time displayed in terms of seconds, days, or years worth of music?
Answer:
I think that days is the most reasonable, sorry if I'm wrong
Step-by-step explanation:
So if you had 1,000 songs and each was 4 minutes, the amount of minutes would be 4*1000 minutes, or 4000 minutes.
4000 minutes = 240000 seconds
4000 minutes = 2.77777... days
4000 minutes = 0.007610350684932... years
HELP PLEASE ! find the value of X the diagram is not to scale.
Answer:
20 + 4x = 180
Step-by-step explanation:
180-20= 160
160=4x
160/4= 40= x
Solve for x.
X + 5 = 2x
OX=3
OX=-3
OX=-5
Ox=5
27 - 4x + -7 ( 1 + 3x)
Answer:
-25x + 20
Step-by-step explanation:
I am going to assume by the lack of instructions, you wanted this simplified. We need to start by combining the -7 into the two terms in the paranthesis:
27 -4x -7 -21x
We can now combine like terms to simplify:
-25x + 20
27-4x+-7(1+3x)
27 - 4x - 7(1+3x)
27 - 4x - 7 - 21x
-25x + 20
Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.
Step-by-step explanation:
Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.
If 4x + 3x - 2(x + 5) = -9, then x = ?
A-12
B
C
Is
D
213
E
"15
Answer:
the answer is 5
Step-by-step explanation:
1. first you need to take -2 and use the distributive property on (x + 5). when you do that you should get -2x -10.
2. 2nd then your equation should look like 4x + 3x -2x -10 = -9. so after you get this equation you then add 4x + 3x. you should get 7x and your equation should look like 7x -2x -10 = -9.
3. 3rd the next step is to take 7x and subtract it from -2x. when you get dont doing this you should get 5x and then your equation will look like 5x -10 = -9.
4. 4th now we need to get all the normal numbers to one side. so you will add a positive 10 to the negative 10. when you do that the numbers cancel out. you have to do this to both sides. so you will add a positive 10 to the negative 9 and you should get positive 1. when you complete this step your equation should look like 5x = 1.
5. 5th you take 5x and divide it by 1 and you should get 5. 5 is your answer.
hope this helped!
p.s it would be cool if you gave me brainliest.
multiply. Express your answer in the simplest form