A charity organization had a fundraiser where each ticket was sold for a fixed price. After selling 200 tickets, they had a net profit of $12,000.
They had to sell a few tickets just to cover necessary production costs of $1,200.
Let y represent the net profit (in dollars) when they have sold x tickets.
Which of the following could be the graph of the relationship?
Answers
Answer:
Step-by-step explanation:
y = 66x - 1200
The charity organisation has to sell a number of tickets to cover their production costs of $1,200. It is given that after selling 200 tickets they retain a net profit of $12,000. Net profit is deduced as: Total sales - total costs. Sales is calculated as total tickets x selling price per ticket.
If we let b represent the sales earned from selling tickets, then:
Net profit = total sales - total costs
12,000 = 200b - 1,200
We can then solve for b by taking the 1200 to the other side of the equal sign. When we do that the sign of that number changes. This is also the same as adding 1200 to both sides of the equal sign:
∴12000 + 1200 = 200b
13200 = 200b
To get the price of one single ticket, b, we need to divide both sides by 200.
∴ b = 66
This means that each ticket's selling price is $66.
So when when we take it back to the calculation of net profit then it becomes:
Net profit = total sales - total costs
y = 66x - 1200
To test:
y = 66x - 1200
= 66 (200 tickets) - 1200
= $12,000
Related Questions
HELP PLEASE! I PUT AN IMAGE BELOW! PLEASE HELP!
Answers
[tex]\begin{array}{lcccl} &\stackrel{lbs}{Qty}&\stackrel{\$}{price}&\stackrel{total}{value}\\ \cline{2-4}&\\ \textit{1st candy}&x&0.9&0.9x\\ \textit{2nd candy}&y&0.4&0.4y\\ \cline{1-4} mix&50&0.85&42.5 \end{array}\qquad \qquad \begin{cases} x+y=50\\\\ 0.9x+0.4y=42.5 \end{cases} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{using the 1st equation}}{x+y=50\implies y=50-x}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{0.9x~~ + ~~0.4(50-x)~~ = ~~42.5} \\\\\\ 0.9x+20-0.4x=42.5\implies 0.5x+20=42.5\implies 0.5x=22.5 \\\\\\ x=\cfrac{22.5}{0.5}\implies \boxed{x=45}\qquad \qquad \qquad \boxed{\stackrel{50~~ - ~~45}{y=5}}[/tex]
3.25- 13 tenths A:10.25 B:3.12 C:2.95
Answers
Answer:
3.12
Step-by-step explanation:
13 tenths is the same as 0.13
So the equation is 3.25 - 0.13
Your answer is 3.12
I hope this helps :)
If k = 4, work out the value of k + 6/2
Answers
Answer: 7
Step-by-step explanation: 6/2 is 3, 3+4 is 7
Answer: 8?
Step-by-step explanation: because 6/2 has 4 extra so I guess you add those and get "8"
The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 168 centimeters in 12 seconds.
What is the time in seconds the ant crawls when the total distance is 350 centimeters?
14 s
24 s
25 s
29 s
Answers
Answer:
25
Step-by-step explanation:
14 x 25 gives you 350
Answer:
25 is the answer for people that are in k12
One person takes up about 2.5 square feet of space. Use this value to estimate how many people can fit in an area that is 120 feet wide and 300 feet long.
Answers
9514 1404 393
Answer:
14,400 people
Step-by-step explanation:
The area is the product of length and width:
A = LW
A = (300 ft)(120 ft) = 36,000 ft^2
Then the number of people is the area divided by the area per person:
(36,000 ft^2)/(2.5 ft^2/person) = 14,400 persons
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Which quantity is unknown?
A. the total amount paid
B. the number of players
C. the price of a bottle of water
D. the price of an energy bar
Answers
Answer: C the price of a water bottle
Step-by-step explanation: The problem states that the energy bar is $2 so it can’t be D. The math problem also states how many players they have so it’s not B. The math problem says how much they paid which is $77 so it’s not A. However the problem doesn’t state how much the price of a water bottle is so therefore it is C.
Answer:
c
Step-by-step explanation: i got it right on the quiz
A
B
C
D
what is the area of the trapezoid
Answers
Answer: b
Step-by-step explanation: the answer is B i think
Find the slope and the y-intercept of the line.
y=7x-4. slope: ? y-intercept: ?
Answers
Answer:
Slope: [tex]\boxed {7}[/tex]
Y-intercept: [tex]\boxed {-4}[/tex]
Step-by-step explanation:
About the Slope-Intercept Form equation, the variable [tex]m[/tex] is the slope and variable [tex]b[/tex] is the y-intercept. So, according to the following expression, the slope would be [tex]7[/tex] and the y-intercept would be [tex]-4[/tex]:
-Slope-Intercept Equation:
[tex]y = mx + b[/tex]
Slope: [tex]m[/tex]
Y-intercept: [tex]b[/tex]
-The following expression:
[tex]y = 7x - 4[/tex]
Slope: [tex]\boxed {7}[/tex]
Y-intercept: [tex]\boxed {-4}[/tex]
Which of the following is a factor of 2x^2 - 7x - 15?
a. 2x - 5
b. x - 5
c. x - 3
Please explain
Answers
The answer is B because:
Step 1: You have to write -7x as a difference
2x^2+3x-10x-15
Step 2: Factor out x from the expression
x(2x+3)-10x-15
Step 3: Factor out -5 from the expression because it is the GCF(greatest common factor) of both -10 and -15
x(2x+3) -5(2x+3)
Step 4: Factor out 2x+3 from the expression
(2x+3)(x-5)
Step 5: Look at equation and see what options listed are present in the equation
Step 6 (optional check): Use foil method for the expression (2x+3)(x-5). You will then get the expression you started out with as an answer 2x^2+3x-10x-15.
Help i have 50 questions for homework and I need help with the 32nd question (just one question). 26 points for answer and brainliest for best answer
Answers
Answer:
54.2%
Step-by-step explanation:
desmos scientific
54.2% of 1450 = 785.9
Round it and it will be 786,
because 9 is after 5 so it adds one to 785.
Please give me Brainliest.
I hope this helped! :)
A manager needs to buy chairs for his office. The price for one chair is$79.99. If the manager buys 2 or more chairs, he will receive a 40% discount on each chair. Approximately how much will the manager save on each chair if he buys 2 chairs?A.$32 B.$40 C.$48 D.$80
Answers
Answer:
A. $32
Step-by-step explanation:
Normal price
1 chair cost = $79.99
2 chairs = $79.99 × 2
= $159.98
Discount price of 2 chairs
40% of $79.99
= 40/100 × 79.99
= 0.4 × 79.99
= 31.996
Approximately
$32
A. $32
“ a number increases by thirty-five “ (translating expressions)
Answers
Answer:
n + 35
Step-by-step explanation:
Let's convert the words to math:
"a number" we can define as n.
"increases" we can define as addition, or sum (+).
"thirty-five" we can define as 35.
We then combine all the translations:
n + 35
1
All of the following transformations will return a shape to its original position EXCEPT:
A Translate 3 units up, then 3 units down.
B Reflect over line p, then reflect over line p again.
Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
D Rotate 120° counterclockwise around point C, then rotate 220° counterclockwise around point C.
O
Answers
Answer:
yes
Step-by-step explanation:
Answer:
Except d. Rotate 120 degrees around center c then rotate 220 degrees around again.
Step-by-step explanation:
Let's choose an arbitrary shape to work with the exercise.
For example a square (All the conclusions that we will make can be use with any shape).
For a. Translate 3 units up, then 3 units down is easy to see that this will return the square to its original position. Wherever we translate up and then down the same units a particularly shape this will return to its original position.
For b. Reflect over line p, then reflect over line p again
Wherever we have any particularly shape and we reflect over an arbitrary line twice, the shape will return to its original position. Particularly, the composition of two reflections over the same line is the identity function.
The identity function is the function that doesn't change the shape (It is the analogy of the multiplication by 1 with the common product between real numbers).
c. Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
The composition of this three translation will return the square to its original position (Same reasoning as a.)
d. Rotate 120 degrees around center c then rotate 220 degrees around c again.
Given that we choose an arbitrary center c and then chosen an arbitrary rotation sense (counterclockwise or clockwise), the composition of the two rotations is a 340 degrees rotation (given that we sum the degrees).
This transformation will not return a shape to its original position
(Of course, it exists some exceptions such as a rotation of a circle around its center. For any value of degrees, the rotation of a circle around its center will return the circle to its original position).
Generally, option d. is the correct option.
I could use some help with this problem for my algebra 2 class, I'm pretty lost, please give an explanation with your answer, much appreciated!
Question:
Mrs. Galacia is building a chicken farm in 2021 with an initial population of 3750 chickens. The farm grows at a rate of 2.15% annually.
Part (a) Use the exponential growth model to write an equation that estimates the population t years after 2021.
Part (b) Estimate the population of the town in 2036. (I was given an extra step here saying, "Must show plug in step before using calculator")
Answers
Answer:
[tex]y=3750 \cdot 1.0215^t[/tex]
(where [tex]y[/tex] is the population and [tex]t[/tex] is time in years after 2021)
5159
Step-by-step explanation:
Part (a)
General form of an exponential function: [tex]y=ab^x[/tex]
where:
[tex]a[/tex] is the y-intercept (or initial value)[tex]b[/tex] is the base (or growth factor) in decimal form[tex]x[/tex] is the independent variableIf [tex]b > 1[/tex] then it is an increasing function
If [tex]0 < b < 1[/tex] then it is a decreasing function
We are told that the initial population is 3750. Therefore, [tex]a=3750[/tex]
We are told that the farm grows at a rate of 2.15% annually. Therefore, if it grows then every year it is 100% + 2.15% = 102.15% of the previous year.
Convert the percentage into a decimal:
102.15% = 102.15/100 = 1.0215
Therefore, [tex]b=1.0215[/tex]
We are told that the independent variable is [tex]t[/tex] (in years).
Therefore, the equation is [tex]y=3750 \cdot 1.0215^t[/tex]
(where [tex]y[/tex] is the population and [tex]t[/tex] is time in years after 2021)
------------------------------------------------------------------------------------------
Part (b)
The year 2036 is 15 years after 2021. Therefore, substitute [tex]t = 15[/tex] into the equation and solve for [tex]y[/tex]:
[tex]\implies y=3750 \cdot 1.0215^{15}[/tex]
[tex]\implies y=5159.49068...[/tex]
Therefore, an estimate of the population of the town in 2036 is 5159.
Find an equation of the line passing through each of the following pairs of points (−3, 1), (0, 3)
Answers
Answer:
y = 2/3x + 3
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(3 - 1) / (0 + 3)
= 2/3
So, the slope is 2/3
Plug this and another point into y = mx + b to find b:
y = mx + b
3 = 2/3(0) + b
3 = b
Then, plug b and the slope into y = mx + b
y = 2/3x + 3 is the equation of the line
Tara can type 20 words per minute faster than Steve.
Their combined typing speed is 130 words per minute.
Write and solve an equation to find both Tara and
Steve's typing speed.
Answers
Answer:
it is 6.5
Step-by-step explanation:
already answered im good
Answers
Yes, based on what I can see, all the answers look fine.
P.S. Try to take a smaller snip of the screen, because now everyone can see who you are.
4 points Kelly walked 5 2/3 miles in 2 hours. How many miles did she walk in one hour if she walked at a steady pace?
Answers
Answer:
[tex]\frac{17}{6}[/tex] or in mixed form = 2[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
5 2/3 divide by 2 = 17/6 of 2 5/6
You invited 17 people to your house for a party. You want to spend a $50 gift card completely on the items shown. You also want to have exactly two servings of food for each person. A pizza is $6 for 4 servings, and a bag of chicken wings costs $7 for 5 servings. Write a system of linear equations that represents the situation.
Answers
Answer:
6p + 7c = 50
4p + 5c = 34
(where p is the number of pizzas and c is the number of bags of chicken wings)
We need to buy 6 pizzas and 2 bags of chicken wings in order to spend a total of $50, AND for each of the 17 people to have 2 servings of food.
Step-by-step explanation:
Let p = number of pizzas
Let c = number of bags of chicken wings
Equation 1
Given:
Pizza = $6Bag of chicken wings = $7Total spend = $50⇒ 6p + 7c = 50
Equation 2
Given:
Pizza = 4 servingsChicken wings = 5 servingsTotal servings needed = 17 × 2 = 34⇒ 4p + 5c = 34
Equation 3
Multiply Equation 2 by 1.5:
⇒ 6p + 7.5c = 51
Subtract Equation 1 from Equation 3 and solve for c:
⇒ 0.5c = 1
⇒ c = 2
Substitute found value of c into Equation 2 and solve for p:
⇒ 4p + 5(2) = 34
⇒ 4p + 10 = 34
⇒ 4p = 24
⇒ p = 6
Therefore, we need to buy 6 pizzas and 2 bags of chicken wings in order to spend a total of $50, AND for each of the 17 people to have 2 servings of food.
The circumference of the hub cap of a tire is 82.21 centimeters. Find the area of this hub cap. Use
3.14 for it. PLEASE HELP ME
Answers
[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=82.21 \end{cases}\implies 82.21=2\pi r\implies \cfrac{82.21}{2\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \cfrac{82.21}{2\pi } \right)^2\implies A=\cfrac{82.21^2}{4\pi }\implies A\approx 538.1[/tex]
what is 1 1/4 divided by 5/7
Answers
Answer:
1.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
11/4 / 5/7 = 11/4 x 7/5 = 11x7 / 5x4 = 77/20
If 18 people ride in 3 cars how much people ride in 1 car?
Answers
Answer:
6 people per car
Step-by-step explanation:
divide 18 people by 3 cars to get people per cars.
please rate and mark as brainlest.
i hope this help!:)
Tamara has a rectangular rug with a perimeter of 28 square feet. The rug is 4 feet longer than it is wide. Create an equation that can be used to determine the length and width of the rug. Find the length and width
Answers
Answer:
P=L10(2)+W4(2)=28ft
the perimeter of the rectangle is L(2)+w(2)=perimeter.
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round your answer to the nearest tenth if necessary.
N
R
33.7
S
Q
O
M
18
47
P
Answers
Answer: 12.9
Step-by-step explanation:
can someone help i have alot of home work and i need help with some
Answers
Answer:
it's not showing the question so how will I tell you
he pentagon has five sides as shown in the figure. The perimeter can be expressed as 5 + 5 + 2 x + x + 2 x.
A pentagon with side lengths of 5, 5, 2 x, 2 x, and x.
Which expression is equivalent to the perimeter expression?
5 + 4 x
10 + 4
5 + 5 x
10 + 5 x
Answers
Answer:
10+5x
Step-by-step explanation:
To find the perimeter, let's add up all the sides and combine like terms.
5 + 5 + 2x + 2x + x
Adding 5 and 5 gets us 10, and adding 2x, 2x, and x gets us 5x.
So, the perimeter should be 10 + 5x, or D
triangle KLM has KL=32, KM= 27, and LM= 21. what is the area of the triangle?
Answers
Answer:
281.15 cm²
Step-by-step explanation:
semi perimeter ( s ) = ( a + b + c ) / 2
=( KL + LM + KM ) / 2
=(32+21+27)/2
= 80/2
=40
Area of triangle =
[tex] \sqrt{s \: (s - a) \: (s - b)(s - c)} [/tex]
[tex] \sqrt{40(40 - 32)(40 - 21)(40 - 27)} [/tex]
[tex] \sqrt{40 \times 8 \times 19 \times 13} [/tex]
[tex] \sqrt{79040} [/tex]
[tex]281.15cm {}^{2} [/tex]
0.00000247 In scientific notation
Answers
Answer:
2.47 × 10^-6
Step-by-step explanation:
The negative power is in coorilation to how many decimal spots it was moved.
Ex: The 2 in 2.47 was moved left 6 spots.
In a local election there were 5600 registered voters. Of these 3450 voted. What was the percentage that voted?
Answers
Answer:
65.18%
Step-by-step explanation:
3450/5600 = 0.6517857...
0.6517857... * 100 = 65.17857...% = 65.18%
Jessica runs 2 1/2 miles in 16 1/4 minutes. What is Jessica’s average time per mile in minutes? Enter the correct answer in the box. IF YOU GET IT CORRECTLY AND ANSWER IT FIRST ILL MARK YA BRAINLY If possible EXPLAIN IT.
Answers
Answer:
6 1/2 minutes per miles
2/13 miles per minutes
Step-by-step explanation:
Distance travelled = 2 1/2 miles
Time taken = 16 1/4 minutes
Average: minutes per mile
= 16 1/4 minutes / 2 1/2 miles
= 65/4 ÷ 5/2
= 65/4 × 2/5
= 13/2
= 6 1/2
Average time per mile in minutes
= 6 1/2 minutes per mile
Average (miles per minutes)
= 2 1/2 ÷ 16 1/4
= 5/2 ÷ 65/4
= 5/2 × 4/65
= 20 / 130
= 2/13 miles per minutes