Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $35. For one performance, there were 55 tickets sold in all, and the total amount paid for them was $1825. How many tickets of each type were sold?
Answer:
sorry i messed up my first calculations, currently recalculating
Step-by-step explanation:
Answer:
35 same-day tickets20 advance ticketsStep-by-step explanation:
You want the number of $30 advance tickets and $35 same-day tickets sold, when a total of 55 tickets were sold for $1825.
SetupLet s represent the number of same-day tickets sold. Then 55-s is the number of advance tickets sold, and total revenue is ...
35s +30(55 -s) = 1825
Solution5s = 175 . . . . . . Simplify, subtract 1650
s = 35
55-s = 30
35 same-day and 30 advance tickets were sold.
this research seeks to identify, describe and produce an analysis of the factors that influence the learning choices of first- year undergraduate students who intend to go on to postgraduate study when they graduate, and develop associated theory.
The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.
What is factor?Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.
The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.
The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.
In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.
Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.
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Find the y-intercept of the following equation. Simplify your answer.
y = 5x + 5
Hey purple are u an impostor? because u just vented down my heart
Answer:
5
Step-by-step explanation:
in slope-intercept form of y = mx+b, b is the y-intercept where m is the slope
What is the equation of the line that passes through the point (-3,7) and has a
slope of -3?
Answer: y + 3x + 2 = 0
Step-by-step explanation:
The formula for that is
y - y₁
------- = -3 where x₁ = -3, y₁ = 7
x - x₁
Therefore cross multiply and solve
y - 7 = -3[( x - (-3)]
y - 7 = -3( x + 3 )
y - 7 = -3x - 9
y + 3x -7 + 9 = 0
y + 3x + 2 = 0
Answer:
y=-3x-2
Step-by-step explanation:
Solve for x. Express your answers in simplest radical from.
Given the equation :
\(x^2-4x+29=0\)So, a = 1, b = -4 , c = 29
The value of x will be calculated using the general law:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Substitute with a, b and c
\(\begin{gathered} x=\frac{4\pm\sqrt[]{(-4)^2-4\cdot1\cdot29}}{2\cdot1}=\frac{4\pm\sqrt[]{-100}}{2} \\ \\ x=\frac{4\pm i\cdot\sqrt[]{100}}{2}=\frac{4\pm10i}{2}=2\pm5i \end{gathered}\)So, the answer will be:
x = 2 + 5i or x = 2 - 5i
Prove: triangle BAD is congruent to triangle CDA
Step
Statement
Reason
BD AC
BA= DC
Given
2
ZBEA UCED
Vertical angles are congruent
3
ZBEC ZAED
Vertical angles are congruent
4
AC - AC
Reflexive Property
5
BD BD
Reflexive Property
try
Type of Statement
B
с
A
hope you will like it
Find the constant of proportionality when x = 2 and y = 1.5.Record your answer and fill in the bubbles on your answer document. Be sure to usethe correct place value.
If y is proportional to x, we have this equation:
\(y=kx\)If x = 2 and y = 1.5, then the constant is:
\(k=\frac{y}{x}=\frac{1.5}{2}=0.75\)The constant of proportionality is k = 0.75
help me find the area of the given triangle to the without height
true/false.
____1.When the non-Standard unit used is small few unit's are
needed to fill a container when the non-standard the non-standard units used is bigger more units are needed to fill the container.
____2.Objects with shape can have the same volume.
____3. To find the volume of rectangular prism multiply the length,width and height.
_____4. Volume is measured in square unit's.
_____5. the amount of space inside an object is called the volume of the object.
____6. The volume of a rectangular prism is equal to the product of its length, width, and height V = 1xwxh cubic units.
____7. Standard units give a consistant and accurate measure of a container.
____8. Non-Standard units cannot be used to measure volume.
____9. Volume is measured in cubic units, such as cubic centimeters.
1. It is false that when non-Standard unit used is small few unit's are
needed .
2. Objects with different shapes can have the same volume. True
3. Length, width and height and multiplied to find volume of a rectangular prism. True
4. It is false that volume is measured in square unit.
5. It is true that Volume is a measure of the amount of space inside an object.
6. The formula for volume of a rectangular prism is V = l × w × h. True
7. It is true that Standard units give a consistent and accurate measure of a container.
8. It is false that Non-Standard units cannot be used to measure volume.
9. Volume is measured in cubic units. True
What is volume of an object?Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.
Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).
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i will mark brainliest.
Answer:
i think is the 4th one
Step-by-step explanation:
A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The ambient temperature is 80 degrees Fahrenheit. After 2 minutes the temperature of the steel is 1,500 degrees. The function f(t)=Ce(−kt)+80 represents the situation, where t is time in minutes, C is a constant, and k is a constant.
After 2 minutes the temperature of the steel is 1,500 degrees. After how many minutes will the temperature of the steel be 100 degrees and therefore safe to pick up with bare hands? Round your answer to the nearest whole number, and do not include units.
The minutes the temperature will be 100 degrees is 18 minutes
Calculating the minutes the temperature will be 100 degreesGiven that
f(t) = Ce⁻ᵏᵗ + 80
The initial temperature of the steel is 2,500 degrees
So, we have
Ce⁻ᵏ ˣ ⁰ + 80 = 2500
After 2 minutes the temperature of the steel is 1,500 degrees.
So, we have
Ce⁻ᵏ ˣ ² + 80 = 1500
In Ce⁻ᵏ ˣ ⁰ + 80 = 2500, we have
C + 80 = 2500
So, we have
C = 2420
In Ce⁻ᵏ ˣ ² + 80 = 1500, we have
2420e⁻²ᵏ + 80 = 1500
So, we have
2420e⁻²ᵏ = 1420
Divide
e⁻²ᵏ = 1420/2420
So, we have
-2k = ln(1420/2420)
This gives
k = -1/2 * ln(1420/2420)
Evaluate
k = 0.27
So, the function is
\(f(t) = 2420e^{-0.27t} + 80\)
When the temperature will be 100 degrees, we have
\(2420e^{-0.27t} + 80 = 100\)
So, we have
\(2420e^{-0.27t} = 20\)
This gives
\(e^{-0.27t} = \frac{20}{2420}\)
So, we have
-0.27t = ln(20/2420)
This gives
t = ln(20/2420) * -1/0.27
Evaluate
t = 18 (approximated)
Hence, the time is approximately 18 minutes
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Please Help Me With This Question!!!
Answer:
B. 11/12
Step-by-step explanation:
Answer: B. 11/12
Step-by-step explanation:
.
-4(X + 3) s-2 - 2x
What is the solution?
On a map, the scale shown is 1 inch : 5 miles. If
a wildlife refuge is 50 square miles, what is the
area of the refuge on the map?
Use the proportion to solve for x.
1 in. 2
25 mi2
x in. ²
50 mi²
Cross
multiplication
can help!
=
The area of the wildlife refuge is [?] square
inches on the map.
Enter
Answer:
Step-by-step explanation:
6
solve 3k-81ksquare=0
Answer:
k=0 or k=1/27
Step-by-step explanation:
3k-81k^2=0
3k(1-27k) =0
3k=0 or 1-27k=0
k=0 or -27k= -1
k= 1/27
help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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A parallelogram is (x + 5) cm long and
(x-8) cm wide. Find the perimeter of
If a parallelogram is (x + 5) cm long and (x-8) cm wide. The perimeter is: 4x - 6 cm.
What is the perimeter?The length of all four sides of a square constitutes its perimeter whereas the circumference of a circle which is also known as the perimeter is the distance around it.
One pair of opposite sides lengths are determined by (x + 5) cm and the other pair's length is determined by (x - 8) cm.
Let x represent the perimeter P of the parallelogram:
P = 2(x + 5) + 2(x - 8)
Simplify
P = 2x + 10 + 2x - 16
P = 4x - 6
Therefore we can conclude that the perimeter of x is 4x - 6 cm.
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The complete question is:
A parallelogram is (x+5)cm long and (x-8)cm wide. Find the perimeter of the parallelogram.
mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
In ΔEFG, f = 88 cm, g = 18 cm and ∠E=68°. Find the area of ΔEFG, to the nearest square centimeter.
The area of ΔEFG is approximately 916 square centimeters.
Given that,
In ΔEFG
f = 88 cm ,
g = 18 cm
∠E=68°
To find the area of ΔEFG,
Use the formula:
Area = (1/2)xfxgxsin(∠E)
First, we need to convert the angle from degrees to radians.
We can do this by multiplying by π/180.
∠E = 68° * π/180 ≈ 1.19 radians
Next, we can plug in the values we have:
Area = (1/2)x88x18xsin(1.19)
≈ 915.56 cm²
Rounding this to the nearest square centimeter,
we get,
Area ≈ 916 cm²
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help please if you can :D
what is the perimeter, in units of the parallelogram
a) 24
b) 36
c) 48
d) 64
I need help this is a assignment question.
The length of a rectangular placemat
is 2/3 foot. If the area of the placemat
is 1/2 square foot, what is the width of
the placemat?
A. 1/3 foot
B. 1/4 foot
C. 3/4 foot
D. 4/3 foot
Answer:
c because its c its c and nothing but c
A submersible is a type of underwater vessel. Suppose a submersible starts at a depth of 40 feet below sea level, represented by –40 feet. The table shows the submersible's change in depth from one minute to the next.
Answer the questions to find the depth of the submersible after 3 minutes.
1. Write and evaluate a subtraction expression to find the depth of the submersible at 2:16 p.m. (2 points)
2. Write and evaluate a subtraction expression to find the depth of the submersible at 2:17 p.m. (2 points)
3. Write and evaluate a subtraction expression to find the depth of the submersible at 2:18 p.m. (3 points)
4. If the submersible dove straight down, what is the distance between the submersible's starting position at 2:15 and its position at 2:18? Show your work. (3 points)
1. -40 - 180 = -220
2. -40 - 175 = -135
3. -40 - 185 = -225
4. 2:15 = -40
2:18 = 185
distance b/w them is = -40 - 185 = - 225
hope this answer helps you dear! btw I'm not sure but hope so this helps...!!
I agree with the first person that answered.
If f(x)=x-9 and g(x)=-6x-3 which statement is true
Answer:
-1 is not in the domain of (f o g)(x)
Step-by-step explanation:
f(x) = sqrt(x - 9)
g(x) = -6x - 3
(f o g)(x) = f(g(x)) = sqrt(g(x) - 9)
(f o g)(x) = sqrt(-6x - 3 - 9)
(f o g)(x) = sqrt(-6x - 12)
Let x = -1:
(f o g)(-1) = sqrt(-6(-1) - 12)
(f o g)(-1) = sqrt(6 - 12)
(f o g)(-1) = sqrt(-6)
Since sqrt(-6) is not a real number, -1 is not in the domain of (f o g)(x).
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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What are the possible degrees for the polynomial function?
Answer:
and "Bumps"
Purplemath
Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.
I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".
For instance, the following graph has three bumps, as indicated by the arrows:
y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0
Match the metric units on the left with their
approximate equivalents on the right. Not all the
options on the right will be used.
1 meter
kilogram
1 liter
1 cup
I mile
2
pounds
1 quart
I yard
Answer:
meter - yard
kilogram - 2 pounds
liter - quart
When Georgie buys three boxes of apples she has 40 pounds more than when she has one box of apples. How many pounds of apples will there be an eight boxes?
Answer:
160 pounds
Step-by-step explanation:
If she has 3 boxes and there's 40 more pounds than if she had one, that means each box is 20 pounds so multiply 20 by 8 and you get 160 pounds
The average temperature for a country during September 2013 was 58.1 degrees Farenheit. This is 5.6 degrees Farenheit above the 20th-century average temperature for September. What was the country's 20th-century average temperature for September
Answer:
52.5
Step-by-step explanation:
58.1 - 5.6= 52.5
If a die is rolled one time, what is the probability of getting a number greater than zero?
Answer:
If it is a fair die then it should have 6 faces, each one having a number 1-6. The probability of landing on a single number is 1/6. Because the die is fair there should be an equal probability of landing on a number 1-6 giving you a probability of 1/6. However, if the number of times rolled is changed, then the answer would be multiplied or added (depending on the question).