The fixed cost to travel is $4 which is option (1).
What is meant by the cost of an item?
A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.
Given chart,
Distance travelled (miles) (x) Cost (dollars) (y)
0 4
1 9
2 14
We are asked to find the fixed amount charged.
From the data given, we can say that
The amount charged when no distance is covered is $4.
The amount charged per mile = 9-4 = 14 -9 = $5
A fixed cost is the amount that is charged no matter the distance travelled.
In this case, it is $4, as it is the money needed to get on the bus.
Therefore the fixed cost to travel is $4 which is option (1).
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A student is attempting to solve the equation below for the variable x. Which of the statements below best applies to the mathematical work shown? Given , I square both sides, which gives me the equation 2x + 22 = 25. I can then solve for x, yielding x = –9.5 as my final answer. A. The student did not correctly square both sides of the equation. B. The student did not properly isolate the variable after squaring both sides of the equation. C. The student omitted a negative solution to the equation. D. The mathematical work is correct.
Answer:
D. The mathematical work is correct.
Step-by-step explanation:
The student precisely squares both sides of the equation correct 2x + 11 = 12.5 by multiplying both sides by 2x + 11, resulting in (2x + 11)^2 = (12.5)^2. The student then isolates the variable x by subtracting 11^2 from both flanks of the equation and dividing both sides by 2. This results in x = -9.5. So, the student's solution and the mathematical result are correct.
Comparing Theater Sales 200 150 100 50 0 Bud's Movies Theater Bud's Movies Super Cinema Theater Why is Figure B misleading? 1) Bars have more discrepancy. 2) Vertical scale does not begin with zero. Figure A 200 Sales 100 Super Cinema 50 50 Figure B 150 Sales
Graph B is misleading because Vertical scale does not begin with zero.
What is the average rate of change?It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
Given, Comparing Theater Sales 200 150 100 50 0 Bud's Movies Theater Bud's Movies Super Cinema.
1) Figure 1 will compare A looks Bars have more discrepancy Because rectangular columns seem to have a larger area.
2) vertical scale dose not begin with zero. The scale of Statistical tables generally Starts from 0.
therefore, Graph B is misleading because Vertical scale does not begin with zero.
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Complete question:
Three friends went out to lunch. They each started with the same amount of money, and they each spent $6. They ended with a combined total of $24. How much money did each of them have to start?
Write an equation that could be used to answer the question above. First, chose the appropriate form. Then fill in the blanks with the numbers 3, 6, and 24.
A. _(x + _) = _
B. _(x - _) = _
An equation that could be used to answer the question above is,
3(x - 6) = 24.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Three friends went out to lunch. They each started with the same amount of money, and they each spent $6.
Now, They ended with $24 combined so each must have ended with
(24/3) = $8.
Now, Each has ended with $8 and spent $6 so they had a total of (8 + 6)
= $12.
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What is the value of N in N - 7/7 = 8 ?
What is the value of N in N - 7/7 = 8 ?
A 10
B 11
C 9
D 8
Answer:
A. 10
Step-by-step explanation:
The correct way to solve the equation is:
N - 7/7 = 8
N = 8 + 7/7
N = 8 + 1
N = 9 + 1
N = 10
So the value of N is 10.
1. What is the solution to the simultaneous equation? 2x +y= 1
2. Find the value of 4y-x given that (x, y) is the solution of the linear simultaneous equation.
3. From the graph find the positive value of y when x=2
Answer:
its 4
Step-by-step explanation:
how do you solve for X in this equation 3/8 x - 17 = 10
Answer: x = 72
Step 1: Add 17 to both sides.
Step 2: Multiply both sides by 8/3.
What is the equation of this graph compared to parent graph? vertical shift= number added or subtracted to function.
Graphs can be shifted vertically in both straight and curved lines.
What is the equation for vertical shift?Graphs can be vertically moved in both linear and curvilinear directions. Add or remove a number from the constant to change the equation's graph vertically. G(x) = f(x) + c and G(x) = f(x) - c are the formulas for an upward and a downward shift, respectively.
Given a function f, a new function g(x) = f(x - h) is created, where h is a constant. This new function is a horizontal shift of the original function f. Graph shifts to the right if h is positive. If h is low, the graph will move to the left.
Given a function f(x), a new function g(x) = f(x) + k is created, which is a vertical shift of the original function f(x). The output values all shift outward by k units. The graph will move upward if k is positive. The graph will tilt downward if k is negative.
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95% of what number is 57
pls help me with this question pls asao
The unknown area of A for each shapes are:
A = 16A = 27A = 22.5A = 14.5A = 128A is unknown due to the incomplete informationPlease note that the question no. 6 was unable to be answered because the screenshots provided was not full enough.
To help us on answering these questions, we refer to the unknown area of A as area' and the known area as area. The unknown area's side or base will be noted as base' or side' and the known area's side and base as side or base.
1. Area = 4cm²
Base = 3cm
Base' = 6cm
Area of triangle = 1/2 base x height
4cm = 1/2 (3) h
h = 8/3
base / base' = height / height'
3 / 6 = 8/3 / height'
height' = 16/3
Area' = 1/2 base' x height'
Area' = 1/2 (6) x (16/3)
Area' = A = 16
2. Area = 3cm²
Base = 2cm
Base' = 6cm
Area of triangle = 1/2 base x height
3cm = 1/2 (2) h
h = 3
base / base' = height / height'
2 / 6 = 3 / height'
height' = 9
Area' = 1/2 base' x height'
Area' = 1/2 (6) x (9)
Area' = A = 27
3. Area = 5cm²
Base = 6cm
Base' = 9cm
Area of triangle = 1/2 base x height
5cm = 1/2 (6) h
h = 5/3
base / base' = height / height'
6 / 9 = 5/3 / height'
height' = 5
Area' = 1/2 base' x height'
Area' = 1/2 (9) x (5)
Area' = A = 22.5
4. Area = 58cm²
Base = 20cm
Base' = 10cm
Area of triangle = 1/2 base x height
58cm = 1/2 (20) h
h = 5.8
base / base' = height / height'
20 / 10 = 5.8 / height'
height' = 2.9
Area' = 1/2 base' x height'
Area' = 1/2 (10) x (2.9)
Area' = A = 14.5
5. Area = 18cm²
Length = 6cm
Wide' = 8cm
Area of rectangle = lenght x wide
18 = 6 x wide
wide = 3
Lenght / Length' = Wide / Wide'
6 / Length' = 3 / 8
Lenght' = 16
Area' = Lenght' x wide'
Area' = 16 x 8
Area' = A = 128
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ASAP I need a quick answer pls
Answer:
62 square feet.
Step-by-step explanation:
7*5=35, 9*3=27, 35+27=62
What i the univeral theme of thi paage?
O the lo of innocence
• the tenion between freedom and reponibility
O ocietv' dependence on authority
O humanity' earch for meaning in the
world
The universal theme of this passage is humanity’s search for meaning in the world.
A universal theme is an idea that applies to everyone regardless of cultural variations or geographic region. frequent subject matters are approaches to connect thoughts across all disciplines.
it's miles a critical concept about the human situation. it is a generalization about lifestyles or human nature; they address simple human issues.
instance: In locating Nemo, the author believes that a person must learn how to consider themselves and others. trace: don't use man or woman names or specific details… hold it regular via the use of “someone” or “one” as an alternative!
The most compelling and widely universal meanings are well-known concepts, thoughts, and notions that nearly every person can relate to, however, do no longer mean identical to any two humans.
Examples of familiar ideas include joy, death, circle of relatives, struggling, love, and beginning.
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What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
In accordance with the above, the scale that relates these two figures is 1:4, that is to say that each unit of the large figure is reduced four times.
How to find the scale that relates these two figures?To find the scale that relates these two figures we must know the measures of one of its sides. In this case we have the measure of the side of the rectangle, which in the large rectangle is equal to 6 and in the small rectangle is equal to 1.5
Based on the above information, we must divide the larger number into the smaller number and the result of this operation will be the scale of the model.
6 / 1.5 = 4So, the scale would be 1:4 because the distances of the small model represent a quarter of the original distance of the figure.
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In the transformation AABCAA'B'C', the prelmage of B' Is Type the answer in the space provided.
In the transformation ABC A'B'C', the preimage of B' is B.
What is the transformation about?It's a triangle, ABC. ABC is changed so that the resulting image is A'B'C'. It should be noted that there are many other forms of transformations, including dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.
Corresponding vertices will be matched in all transformations. In other words, A will change to A', B to B', and C to C'.Preimage of B' would just be B itself due to the transformation's ability to maintain image similarity and convert vertices appropriately.
In conclusion, it is B.
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In the transformation ABC A'B'C', the preimage of B' is ____
Use the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by the two secants. You may use words and/or an equation.
(b) Suppose CG=3 in., CH=2 in. and GE=5 in. Is it possible to find the length of (DH) ? If so, show how to find the length. If not, explain why not.
a) The relationship among the lengths of the segments formed by the two secants as; (CG+GE)CG = (CH+HD)CH
b) It possible to find the length of DH based on the Secant-secant theorem
What is Secant-secant theorem?It states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.
i.e., (CG+GE)CG = (CH+HD)CH ---(1)
Now we have been given
CG = 3 in
CH = 2 in
GE = 5 in
Substitute these values in equation (1)
(3 + 5) 3 = (2 + DH) 2
24 = 4+ 2DH
DH = 10 in
Therefore, yes it is possible to find DH .
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Plot the point (1 and 1/2, 5 ) in the coordinate plane
Plot the point (1 and 1/2, 5 ) in the coordinate plane is Attached below.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, the point (1 and 1/2, 5 ) in the coordinate plane
Since, Point at x = 1 1/2 the value of y = 5
In coordinate plane,
x = 1 1/2 represents that Point is 1 1/2 units right to the origin point that is (0, 0).
And y = 5 represents that Point is 5 units upward to the origin point that is (0, 0).
therefore, the graph of (1 1/2 , 5) is attached below.
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what are the coordinates of the oriented length whose tail has coordinates (1, 2, 3) and whose head has coordinates (3, -2, 7)
The coordinates of the oriented length whose tail has coordinates (1, 2, 3) and whose head has coordinates (3, -2, 7) can be calculated using vector subtraction, which is (2,-4,4) or (-2,4,-4)
Vector subtraction is a method of subtracting one vector from another, resulting in a new vector. The new vector will have the same direction as the vector being subtracted, and a magnitude equal to the difference of the magnitudes of the vectors being subtracted.
In this case, the vector being subtracted is from the tail to the head, so the new vector will point from the head to the tail.
The vector from tail to head can be written as:
Tail to Head = (3, -2, 7) – (1, 2, 3) = (2, -4, 4)
Therefore, the vector from head to tail is:
Head to Tail = – (2, -4, 4) = (-2, 4, -4)
The coordinates of the vector from head to tail are (-2, 4, -4).
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What is the percentage increase from 520 to 800
153,9 % d'augmentation
(a) What 3 by 3 matrix E₁₃ will add row 3 to row 1? (b) What matrix adds row 1 to row 3 and at the same time adds row 3 to row 1? (c) What matrix adds row 1 to row 3 and then adds row 3 to row 1?
The process of adding the matrix is explained blow.
Matrices are powerful tools used to analyze data and solve complex equations.
A 3x3 matrix, or E₁₃, is a matrix composed of 3 rows and 3 columns. It can be used to perform various operations, including adding two rows together.
(a) To answer the first question, a 3x3 matrix E₁₃ can add row 3 to row 1 by performing a row operation. This involves taking the second row and adding it to the first, thus adding the values on each row together.
(b) To answer the second question, a 3x3 matrix E₁₃ can add row 1 to row 3 and at the same time add row 3 to row 1 by performing a row exchange operation. This results in a 3x3 matrix where each value in the first row is equal to the corresponding value in the third row.
(c) To answer the third question, a 3x3 matrix E₁₃ can add row 1 to row 3 and then add row 3 to row 1 by performing two separate row operation and then taking the third row and adding it to the first, thus adding the values of each row together again.
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how to do the guesa pattern?
A particular practice called "Guess the Pattern" caught my attention as I browsed through my 10-year collection of workouts. You are trying to determine a pattern of five colors that is loosely based on the popular board game Mastermind. With this twist, you get to decide how much feedback you want to get on your predictions.
What is Guess the Pattern?The game just provides you with "correct" or "wrong" feedback at the lowest level. The information is meaningless, and the likelihood of being correct without additional specific feedback is relatively low, much as bug reports that simply state "doesn't work."At the medium level of feedback, you get hints that aren't directly related to the solution, such as the fact that four out of the five colors you selected are in the pattern. For each dot in your guess, you receive feedback at the highest level.The purpose of the game was to get students talking in class about what makes test findings and bug reports—two types of feedback—more or less helpful in the software development process. Probably a dozen courses were where I ran the game. Most of the time, the discussion moved in the direction I wanted it to go to support the curriculum.To Learn more About Guess the Pattern Refer To:
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which of the following statements is true? which of the following statements is true? scientific concepts are permanent once they have been investigated and supported by data. our data fully explain natural phenomena once we are able to show cause and effect. the scientific process is a continuous process of collecting data and refining hypotheses. when data support a hypothesis, the work on that scientific concept is complete. collecting data that are consistent with a hypothesis proves that the hypothesis is correct.
The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.
Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.
The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.
So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.
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find the surface area of 9 3 3 pyramid
The surface area of the pyramid is 1377 square units
What is surface area of a pyramid?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
To find the surface area of a pyramid, we use the formula SA=B+12ps, where B is the area of the base, p is the perimeter of the base, and s is the slant height
height = 9
length = 3
width = 3
therefore s = √9²+3²
s = √81+9
s = √90
s = 9.5 units
Base area = l×w = 3 × 3 = 9 units
perimeter of the base = 2( 3+3) = 2×6 = 12
Surface Area = 9 + 12× 12× 9.5
SA = 9 + 1368
SA = 1377 square units
Therefore the surface area of the pyramid is 1377 square units
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Chris makes $30 for each lawn he mows for his neighbors. Which graph shows the relationship between the number of lawns Chris mows in a week and the amount of money he makes?
Step-by-step explanation:
with each lawn mowed he earns more money so if he makes 3 lawns he makes a profit of 30x3=90 dollars
Answer:
Step-by-step explanation:
The graph that shows the relationship between the number of lawns Chris mows in a week and the amount of money he makes is a linear graph. On the x-axis, the number of lawns mowed would be represented, and on the y-axis, the corresponding amount of money Chris makes would be represented. As Chris makes $30 for each lawn he mows, the graph would be a straight line that goes through the origin (0,0), and for each increase of 1 lawn mowed, there would be a corresponding increase of $30 in the amount of money made.
when there are fractions in an equation, how do you determine what number to multiply by in order to rewrite the equation into a simpler form?
To make an equation with fractions simpler we will be required to take up and LCM and cross-multiplication.
When an equation has fractions, there can be a case where each side, the LHS and the RHS, have multiple fractions with different denominators or even whole numbers.
In this case, first, you have to make sure to take an LCM for fractions on each side and make sure each side has only one denominator and all the constants and variables are a part of that fraction.
Then you have to take the denominator from each side and then multiply it with the numerator of the other. For example-
If an equation looks like [2x - 3]/5 = [4x + 8]/7
Here LHS has 5 as the denominator while RHS has 7
Hence, we will take 5 over to the RHS and 7 to LHS to get
7 X [2x - 3] = 5 X [4x + 8]
Now we have gotten our simpler form.
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4) Find x if m/2 = 18x - 1 and
m2UWV = 33x + 1.
W
U
For given expression x will be equal to 1.
What are expressions?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Now,
Given expression is m/2=18x-1
where m=33x+1
By putting value of m
33x+1=(18x-1)*2
33x+1=36x-2
3x=3
x=1
Hence,
For given expression x will be equal to 1.
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Tanisha earned a grade of 82% on her multiple choice math final that had a total of 200 problems how many. Problems on her final exam did Tanisha answer correctly
Answer:
164
Step-by-step explanation:
can you guys please help without guessing?
Answer:
In order of appearance in the image:
Two solutions
No solutions
Infinite solutions
No solutions
Step-by-step explanation:
Let's evaluate the systems of equations one by one:
[tex]\left \{ {{x-y=3} \atop {3x+y=1}} \right.[/tex]
Let's solve this system of equations:
[tex]x=3+y\\3(3+y)+y=1\\9+4y=1\\4y=-8\\y=-2\\x=3-2\\x=1[/tex]
This system has two solutions! x = 1, y = -2
[tex]\left \{ {{y=5x-4} \atop {y=5x+13}} \right.[/tex]
This system of equations has no solutions because no x value exists that satisfies both equations.
[tex]\left \{ {{4g+r=12} \atop {8g=-2r+24}} \right. \\r=12-4g\\8g=-2(12-4g)+24\\8g=-24+8g+24\\8g=8g\\1=1\\[/tex]
This system of equations has infinite solutions. No matter what values you plug in for g and r, the solution is the same!
[tex]\left \{ {{3y+15x=-1} \atop {y=4-5x}} \right. \\3(4-5x)+15x=-1\\12-15x+15x=-1\\12=-1[/tex]
This system of equations has no solutions because no values exist that can satisfy both equations.
consider the function f (x, y) = 1 x2 y2. draw a contour map for f (x, y).
A two-dimensional surface with all the points of equal value is shown in a contour map for the function f (x, y). It is used to illustrate how the function changes in relation to the two variables.
1. On the two-dimensional coordinate plane, create a grid.
2. Give each of the x and y coordinates a value.
3. Determine the value of f (x, y) for every pair of x and y.
4. Plot the grid points based on the values of f. (x, y).
5. To create the contour map, connect the points with equal values along a curved line.
In a two-dimensional plane, a contour map is a graphical representation of a function that displays all the points with identical values. It is used to illustrate how the function changes in relation to the two variables. Draw a grid on the two-dimensional coordinate plane and give values to the x- and y-coordinates before drawing a contour map for a function f (x, y). Once this is done, determine the value of f (x, y) for each pair of x and y, and plot the points on the grid using those values (x, y). To complete the contour map, draw a curved line connecting the points of equal value. The contour map will display the function's regional extrema as well as any locations where it is rising or decreasing locally. Additionally, it can be used to pinpoint regions of the plane where the function's value is constant. For seeing and comprehending the behaviour of functions of two variables, contour maps are a useful tool.
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Uber charges you $10.75 plus $0.50 per mile for a trip to a Hornets game. Ashley paid $30 for her ride to the game. How many miles did she travel?
Solving a linear equation, we can see that her travel was 38.5 miles long.
How many miles did she travel?We know that Uber charges $10.75 as a fixed fee plus $0.50 per mile, then the cost for x miles is modeled by the linear function:
y = 10.75 + 0.5*x
We know that Ashley paid 30 dollars for her ride, then we need to solve the equation:
30 = 10.75 + 0.5x
30 - 10.75 = 0.5x
19.25 = 0.5x
19.25/0.5 = x = 38.5
So her travel was 38.5 miles.
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When buying advertiing time on televiion or in magazine, advertier calculate the cot per thouand (CPM) people reached by the ad. If the cot of advertiing wa $100,000 and the reach or circulation wa 10,000,000 people, what would be the CPM? (Note: M i the Roman numeral for 1,000. )
If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.
Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.
The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.
Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:
CPM = ($100,000 / 10,000,000) × 1000 = $10.
So, the CPM is $10.
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The area of a rectangle is 44 square units. Its length measures 11 units. Find the length of its diagonal
The length of the diagonal of the rectangle is 11.7 units.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the area of a rectangle is 44 square units. Its length measures 11 units.
Area = L x W
44 = 11 x W
W = 4 units
D² = W² + L²
D = √ ( 11² + 4 ²)
D = √ ( 121 + 16)
D = 11.7 units'
Therefore, the measure of the diagonal is 11.7 units.
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