A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.
Below is a sketch of the graph.
a) Write the inequality of the line.
b) Identify the ordered pair for point A.
c) Identify the ordered pair for point B.
d) State which direction they should shade and why that makes sense in context.
Answers
Answer:
Step-by-step explanation:
Lets denote number of floor tickets by x and
Lets denote number of balcony tickets by y as shown in the figure in the question
so, floor tickets are sold for $15 each which means number of x tickets would be sold by $15 multiplied by x which means 15x and balcony tickets are sold for $12 each which means number of y tickets would be sold by $12 multiplied by y which means 12y furthermore it says they want to make at least $3000 which would mean they want to make at least $3000 or higher meaning ≥3000 so the inequality would be
a) [tex]15x+12y\geq 3000[/tex]
b) The ordered pair A we can see that A is the y-intercept which means the point A can also be written as (0 , y) so we put this point into our equation
15x + 12y = 3000 which is the boundary line. So here goes,
[tex]15x+12y=3000\\15(0)+12(y)=3000\\12y=3000\\y=3000/12\\y=250\\[/tex]
so our y-intercept is 250 which means Point A is (0 , 250)
c) They should shade the area above the boundary line because in this context the band that is playing wants to make at least $3000 which means they want to make more than $3000 . So when a ≥ sign appear we shade the area above the boundary line and when the ≤ sign appears we shade the area below the boundary line. If it were in the question the bands wants to make at most $3000 then the ≤ would appear.
I have attached a graph to clearly visualize the solution as well.
Related Questions
3 The table shows the prices of some breakfast items at a restaurant. Sara ordered 2 eggs, a
slice of bacon, and a glass of orange juice for breakfast. The sales tax for the order was
$0.48. She paid for her breakfast with a $10 bill.
Breakfast Menu
Item
Price
One egg
Slice of bacon
Glass of orange juice
$1.69
$1.49
$1.09
How much change should Sara receive from the $10 bill?
A $3.56
B $6.44
C $5.25
D$4.75
Answers
i need help please lol
Answers
Answer:
-2 + 6!
Step-by-step explanation:
Since the last two are negatives back to back, you change them to positive to make the problem easier! Anytime the last two signs are back to back negatives, you can do that, but never change the first sign!
I hope this helps!!
Answer: THE PINK ONE (-2+6)
Step-by-step explanation: WE DID THIS IN MATH SO I KNOW. IT'S THE PINK ONE! (-2+6)
Cho is making a rectangular garden, where the length is x feet and the width is 6x + 6 feet. He wants to add garden stones around the perimeter of the garden once he is done. If the garden is 6 feet long, how many feet will Cho need to cover with garden stones? Cho will need to cover _______ feet with garden stones.
Answers
A 2-column table with 4 rows. Column 2 is labeled Hours x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.25, 2.50, 3.75, 5. On a coordinate plane, a line goes through (1, 1.25) and (4, 5).
The models represent a real-world problem. Select the statements that describe the problem. Select all that apply.
The two variables are dollars and hours.
The two variables are 1 and $1.25.
The correct equation is y = 1.25x.
The correct equation is y = 1x.
Melissa charges $1.25 an hour to pet-sit.
Melissa charges $1 more than the number of hours she pet-sits.
Answers
The two variables in this problem are dollars and hours
Melissa charges $1.25 per hour to pet-sit.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The table and the given points on the coordinate plane provide information about the relationship between the number of hours of
pet-sitting (x) and the amount of money earned (y) by Melissa, who charges a fixed rate of $1.25 per hour for pet-sitting.
The equation of the line passing through the points (1, 1.25) and (4, 5) can be found by using the slope-intercept form:
y - y_1 = m (x - x_1),
where m is the slope and (x_1, y_1) is a point on the line.
Using the two given points, we have:
m = (y_2 - y_1)/(x_2 - x_1)
= (5 - 1.25)/(4 - 1)
= 1.25
y - 1.25 = 1.25 (x - 1)
y = 1.25x - 0.75
This means that for each additional hour of pet-sitting, Melissa earns an additional $1.25.
Therefore,
The two variables in this problem are dollars and hours
Melissa charges $1.25 per hour to pet-sit.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ3
Answer:
The two variables are dollars and hours. The correct equation is y = 1.25x. Melissa charges $1.25 an hour to pet-sit. or 1,3,5
Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!
Topic: Perpendicular to Chord Property
Answers
Answer to Question 1:
<OGE (also m˚) = 19˚
Step-by-step explanation:
We know that all the angles in a triangle add up to 180˚.
Given:
<EGO = 71˚
<OEG = 90˚ (the angle forms a right angle because line EG is perpendicular to point O)
To Solve:
⇒ Since we know two angles, we should know the third; and they all add up to 180˚. This can be written as:
71˚ + 90˚ + <OGE = 180˚
⇒ Solve for <OGE by simplifying:
161˚ + <OGE = 180˚
⇒ Subtract 161˚ from both sides to get:
161˚ − 161˚ + <OGE = 180˚ − 161˚
⇒ Isolate <OGE:
<OGE = 19˚
Answer: <OGE (also m˚) = 19˚
Answer:
<OAC (also x˚) = 50˚
<OCB (also y˚) = 90˚
Step-by-step explanation:
–How to solve for <OCB (also y˚)
Just by looking, you can already tell that <OCB equals 90˚ because it forms a right angle.
Answer: <OCB (also y˚) = 90˚
–How to solve for <OAC (also x˚)
Given (and what we can already know):
<AOC = 40˚
<OCA = 90˚
⇒ Reason: Line AB is a straight line and a straight line equals 180˚. We already know on side of the line because <OCB is 90˚, and so the other side, <OCA, should also be 90˚, since the both sides that make up the straight line equal 180˚ (90˚ + 90˚ = 180˚). You can also tell that <OCA forms a right angle in the triangle because line AB is perpendicular to point O, and right angles are 90˚.
To Solve:
⇒ Since we know two angles in the triangle, we should know the third; and they all add up to 180˚. This can be written as:
40˚ + 90˚ + <OAC = 180˚
⇒ Solve for <OAC by simplifying:
130˚ + <OAC = 180˚
⇒ Subtract 130˚ from both sides to get:
130˚ − 130˚ + <OAC = 180˚ − 130˚
⇒ Isolate <OAC:
<OAC = 50˚
Answer: <OAC (also x˚) = 50˚
I hope you understand and that this helps with your question! :)
Help me with this please!!
Answers
Answer:
DE ≅ XY and XY ≅ YZ, then DE ≅ YZ
Thus, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.
Step-by-step explanation:
We know that if two segments are congruent to the third segment, then they will be congruent to each other. This is called Transitive Property of Segment Congruence.
For example, Let suppose
segment LM = 30 unitssegment AB = 30 units segment BC = 30 unitsLM ≅ AB and AB ≅ BC, then LM ≅ BC
30 ≅ 30 and 30 ≅ 30, then 30 ≅ 30
Thus, this validates the 'Transitive Property of Segment Congruence'.
Now Given
DE ≅ XY and XY ≅ YZ, then DE ≅ YZ
Thus, according to the above discussion, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.
A chef is filling one sink with water, while emptying another. The first sink is empty and is being filled at a rate of 4 gallons per minuet. The second sink is full and is being drained at a rate of 2 gallons per minute. If both sinks hold 24 gallons of water, how many minutes will it take for the two sinks to have the same amount of water?
Answers
Question #3: Complete the statement below to show the correct value of 100%. Part A: The expression 100 3 = 10 because 100 = 102 and = 101 = 10. Po Part B: When simplified, the answer is rational irrational
Answers
Answer:
Step-by-step explanation:
Part A.
Expression [tex](100)^{\frac{1}{2}}[/tex] = 10
Because 100 = [tex](10)^{2}[/tex] and [tex][(10)^2]^{\frac{1}{2}}=10^1=10[/tex]
[Since, [tex](a^{2})^{\frac{1}{2}}=a^{2\times \frac{1}{2}}=a^1[/tex]]
Part B.
When simplified, the answer is RATIONAL.
[Since, 10 can be written as [tex]\frac{10}{1}[/tex]]
49, 50, 52, 58, 61, 63, 66, 68
Part A What is the median of the data set?
Answers
Answer
59.5
Step-by-step explanation:
This is what I think!
Which type of transformation is the only one of the four that is not a rigid motion and other words which type of transformation involves the size changing a or a a rotation or a dilation or a a translation ot a reflection
Answers
Step-by-step explanation:
Dilation changes the size of the shape and is not a rigid motion.
Answer:
Dilation changes the size of the shape and is not a rigid motion.
explanation:
Hope it's answer you plz mark as Brainlist
Suppose you buy ticket for out of a lottery of 1000 tickets where the prize for the one winning is to be 800. How much money do you take home (after paying for it)?
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the answer to the question 2. Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning is to be $800. How much money do you take home (after paying for it)? is -$5.20
which table of values can be defined by the function y = 4x - 2
Answers
Answer:
x y
-4 -18
-2 -10
0 -2
2 6
4 14
Step-by-step explanation:
Please answer helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Remember that TR is 1/3 the length of MR
MR = 54
TR = 1/3 *MR
TR = 1/3 * 54
TR = 18
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Answers
Answer:
m = n = 20
Step-by-step explanation:
Here, we want to find the missing side lengths
For a 45-45 triangle, the lengths have a side ratio of;
1:1: √2
We should understand that the triangle is isosceles ( opposite and adjacent are equal)
So n = m
So what we just need to do here is divide 20 √2 by √2
Mathematically, that would be;
20 √2/√2 = 20
Find the distance between the two points rounding to the nearest tenth (if necessary).
(1, -5) and (4, -1)
Answers
Understanding:
This can be easily solved by using the distance formula which is
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\\[/tex]
[tex]d:[/tex] distance
[tex](x_{1},y_{1}):[/tex] coordinates of the first point, in our case it is [tex](1,-5)[/tex]
[tex](x_{2},y_{2}):[/tex] coordinates of the second point, [tex](4,-1)[/tex]
Solution:
[tex]d=\sqrt{[(4)-(1)]^{2}+[(-1)-(-5)]^2}\\=\sqrt{(3)^2+(4)^2}\\= \sqrt{9+16} \\=\sqrt{25}\\= 5[/tex]
The distance between the two points is 5.
someone please do this it’s due tomorrow!
Answers
Answer:
is this the whole question? is there a second part to it?
In costal regions, some animals live above sea level and other animals live in the ocean. A sea star can be found at an ocean depth of two feet. How can you represent an ocean depth of two feet? 1.What do you know 2.What do you need to find 3.What is the answer
Answers
Answer:
- 2 feets
Step-by-step explanation:
Given that sea star can be found at an ocean depth of 2 feets ;
An ocean depth of 2 feets can be represented as :
Sea level - depth = 0 - 2 = - 2 feets
Hence, it can be concluded that sea star lives in the ocean
Complete the proof. Someone please help me answer this!
Answers
please hurry i only have 1 hour
Answers
Answer:
C.) 4 sqrt2
Step-by-step explanation:
ON=MN
therefore you can use pythagereum theorum here in a right triangle
as the hypotnuese is 8 you know that ON and MN is equal to the sqrt of 32 each. As A^2+ B^2=C^2
C=8 so C^2= 64 therefore,
A^2+ B^2=64 therefore,
A^2= 32 and B^2=32
you take the sqrt of 32 you get 4sqrt2
16x2 + 4x2 – 2x – 12x2 + 4x
Answers
Answer:
8x^2 + 2x
Step-by-step explanation:
Solve the system of equations using substitution.
y = −2x + 1
4x + 2y = −2
No solution
Infinitely many solutions
(0, −4)
(−4, 0)
Answers
Answer:
no solution
Step-by-step explanation:
x cancel out each other
Answer:
no solution
Step-by-step explanation:
PLS HELP AND EXPLAIN HOW TO DO THIS, ILL GIVE BRAINLIEST
Answers
Answer:
C. 8
Step-by-step explanation:
f(5) =1/4(2)^5
because x=5
f(5)=1/4(32)
because 2^5 is 2*2*2*2*2=32
f(5)=8
because 1/4*32 or 32/4 is 8
Hope this helped :) I haven't even learned f(x) in school yet haha. I'm in 8th grade, but I took extracurriculars for math and I'm on the math team. Ergo, I know it's right!
It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?(1 point)
Answers
Answer: 50 miles per hour
Step-by-step explanation:
Find out the length of the normal route.
Distance = Speed * time
= 48 * 40/60
= 32 miles
The detour is 8 miles longer so the length is;
= 32 + 8
= 40 miles
What speed should he travel at to make it in 48 minutes. Remember speed is in miles per hours.
Speed = Distance/ time
= 40 / (48/60)
= 50 miles per hour
Answer:
50 miles per hour :)
Step-by-step explanation:
Distance = Speed * time = 48 * 40/60 = 32 miles
Detour is 8 miles longer so = 32 + 8 = 40 miles
In 48 minutes. Remember speed is in miles per hours.
Speed = Distance/ time
50MPH= 50 miles per hour
I hope that helps
Edward deposited $10,000 into a savings account 2 years ago. The simple interest rate is 2%. How much money did Edward earn in interest?
Answers
Step-by-step explanation:
Simple interest = PRT/100
S I = $10000 x 2 x 2
_____________
100
SI = $400
Answer:
$ 10,400
Step-by-step explanation:
Interest = P( 1 + rt)
10000 { 1 + ( 0.02 x 2 )
= 10000 * 1.04
= 10, 400
Which point on the graph represents they-intercept
Answers
Answer:
Where's the graph kid sir?
Step-by-step explanation:
Answer:
The y-intercept on a sloped line is where the line crosses the y-axis. Taking a look at your graph, Find a point where the line crosses the y-axis.
2=400 solve this equation.
Answers
Answer: 200
Work: If the equation is 2x = 400, you just divide 2 on both sides, meaning the answer is x = 200
can someone help me plz
Answers
Answer: The answer is 1 and 2/3
Hope this helps you bye
How many books are on each shelve if there are 64 books on 4 shelves?
Answers
Answer:
In each shelves there are 64/4 books I.e. 16.
PLZ HELP WITH THIS MATH QUESTION ITS HOMEWORK
Answers
Answer:
both the second and third one
I need the answer to this
Answers
Answer
5/3-i
Step-by-step explanation: