Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $4 for every cake she bakes. She made $60 this week. Write an equation to show how many cakes Sam baked this week.

60 + 4x = 20
20 − 4x = 60
60 − 4x = −20
20 + 4x = 60

There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

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Answer:

9B^2-12B+4

Step-by-step explanation:

use (a-b)^2 = a^2-2ab+b^2

(3B)^2 - 2x3B x 2 +2^2

raise a product to a power

9B^2-12B+4

Ans:

The total number people at house are 30.

Explaination:

Given:

The pizza costs $22.50.

Each people must pay $0.75 on pizza after leaving one person.

To calculate: Total number of people in house?

Solution:

pizza=$22.50.

each person cost=$0.75.

total no. of people=?

Let us consider total no. of people as X.

total pizza costs=extra pay on pizza *  Total number of people.

     $22.50    =      $0.75  *  X

      $22.50 / $0.75 = X

       X= 30

The Total number of people in house are 30.

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The total number people at house are 30, according to the question.

A cost function, which is a mathematical formula, is used to visualize how production costs will fluctuate depending on output levels. In other words, given a specified quantity produced, it calculates the entire cost of production.

According to the question,

We have the given information:

The pizza costs $22.50.

Each people must pay $0.75 on pizza after leaving one person.

To calculate: Total number of people in house.

pizza=$22.50.

each person cost=$0.75.

total no. of people=?

Let us consider total no. of people as X.

Total pizza costs=extra pay on pizza *  Total number of people.

    $22.50    =      $0.75  *  X

     $22.50 / $0.75 = X

      X= 30

Therefore, the total number of people in house are 30.

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Diatomic molecules can move through rotation and vibration. Quantum mechanics quantizes energy, and the Schrödinger equation provides solutions for studying molecular energy levels.

When examining molecular energy levels, diatomic molecules exhibit rotational and vibrational motions independent of their center of mass. In quantum mechanics, energy is quantized, meaning it can only be added or subtracted in specific discrete quantities.

The Schrödinger equation provides solutions for various quantum systems. Two solutions, the hydrogen atom and the harmonic oscillator, are particularly useful for studying molecules. The hydrogen atom has a spherically symmetric potential energy, which allows us to determine the allowed values of angular momentum (L) using the equation L^2 = l(l + 1)ℏ^2, where l represents different angular momentum states (l = 0, 1, 2, 3, ...).

Similarly, diatomic molecules have a spherically symmetric potential energy function U(r) = 0 for rotation. As a result, we can utilize the same equation for the allowed angular momentum states as in the case of the hydrogen atom, enabling us to analyze and understand the rotational energy levels of diatomic molecules.

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Answer:

these are tough,   it takes a lot of practice to get used to these, sooo

Step-by-step explanation:

we know the slope, m= -5/3,   and we're given a point so use the point slope formula

y= mx + b

the point we are given is in this form  (x,y)

then plug the information into our point slope formula

y = (-5/3) x  + (-2)

y = -5x/3 -2

Answer:

\(\displaystyle 0,1922986515...\pi = \theta \\ 35° \approx \theta\)

Step-by-step explanation:

\(\displaystyle sec^{-1}\:1\frac{177}{823} = \theta; 0,1922986515...\pi\:[or\:34,613757274...°] \\ \\ \boxed{0,1922986515...\pi = \theta\:[35° \approx \theta]}\)

OR

\(\displaystyle cos^{-1}\:\frac{823}{1000} = \theta; 0,1922986515...\pi\:[or\:34,613757274...°] \\ \\ \boxed{0,1922986515...\pi = \theta\:[35° \approx \theta]}\)

I am joyous to assist you at any time.

Answer:

The graph shown is the answer

Step-by-step explanation:

It says why and how its the answer

Answer:

x=−3 or x=5

so yeah

Answer:

solve for x

Step-by-step explanation:

i hope this helps

The graph that shows the best linear fit for the data is graph B.

Graph is a data structure composed of nodes connected by edges, which represent a relationship between the two notes of are used to represent networks of communication that organized and even extract concept like thought or riders the nodes in the graph are often represent by Circle and it's by line but the other safe of the symbol are also use copper power Bluetooth for a organizing and understanding data and can be used to solve complex problem.

Graph B shows a line that passes through the majority of the data points, indicating a strong positive correlation between the two variables. This means that as the height in centimeters increases, the shoe size also tends to increase. Graph A shows a less distinct line that doesn't pass through as many points as graph B, indicating a weaker correlation. Graph C does not show a linear fit, as the data points are scattered throughout the graph.

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Answer:

time = 70 minutes

Equation in slope intercept form

Now

If one of you has a comparative advantage at baking cookies, it means that one of you c) gives up fewer cupcakes for each cookie baked.

When manufacturing a specific good, agents in an economic model have a comparative advantage over rivals if they can do so at a lower relative opportunity cost or autarky price, that is, at a lower relative marginal cost before trade.

Comparative advantage is the term used to express the economic reality of trade-related employment advantages for individuals, businesses, or nations that result from variations in their factor endowments or technology advancement.

(The absolute advantage, comparing production per unit of time (labor efficiency) or per unit of money (monetary efficiency), is generally thought to be more intuitive but less accurate – as long as the opportunity costs of manufacturing commodities across countries differ, productive trade is conceivable.)

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A/an database schema diagram can be used to show how the tables in a database are defined and related.

This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and  their attributes, and the relationships between them.

The database schema diagram helps in the  understanding the logical design of the database, including primary keys, for  foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in  designing, modifying, and querying the database effectively.

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There were 14 participants in each condition in the study, with a total sample size of 28. To determine the number of participants in each condition, we need to look at the degrees of freedom in the one-way ANOVA output.

In this case, the degrees of freedom for the numerator is 1 and the degrees of freedom for the denominator is 26. Since the ANOVA assumes equal sample sizes across conditions, we can calculate the total number of participants by multiplying the sample size by the number of conditions. Using the formula for degrees of freedom, we can calculate the sample size for each condition as follows:
df_between = k - 1
df_within = N - k
Where k is the number of conditions and N is the total number of participants.
In this case, df_between = 1 and df_within = 26. Thus,
1 = k - 1
k = 2
Substituting k = 2 into the df_within equation, we get:
26 = N - 2
N = 28
So, the total number of participants across both conditions is 28. Since we assume equal sample sizes, each condition has 14 participants. Therefore, the number of participants in each condition is 28 / 2 = 14.Therefore, we can conclude that there were 14 participants in each condition in the study, with a total sample size of 28. In summary, given the one-way ANOVA output and assuming equal sample sizes across conditions, we can use the formula for degrees of freedom to calculate the sample size for each condition and determine that there were 14 participants in each condition in the study.

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The probability of the number of people who say auto racing is their favorite sport being more than 37 can be calculated using statistical methods.

This would require information on the total number of people surveyed, the number of people who said auto racing is their favorite sport, and other relevant data.

Depending on the specific scenario, the probability could be estimated or calculated exactly.

However, without this information, it is not possible to provide a specific answer to the question.

Therefore, it is important to have all relevant information and data before calculating probabilities or making any conclusions about the likelihood of an event occurring.

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Answer:

42 are female, 28 people study french, 16 do both.

Step-by-step explanation:

16 french girls + 11 german + 16 spanish = 43 females

12 male french + 16 female french = 28

16 are under both catagories.

Cant help you with the probability

The number of people who are female OR study French OR both is 55 and the probability that any person is female OR studies French OR both is 11/16. This can be obtained by Venn diagram formula of sets and calculating the values.

For any two sets A and B, n(A∪B)=n(A)+n(B)-n(A∩B)

Given that,

Number of female = 43

Number of people studying French =28

Number of female studying French = 16

The number of people who are female OR study French OR both,

n(studies French ∪ Female)

              = n(studies French) + n(Female) - n(studies French ∩ Female)

             =28+43-16 = 55

Given that,

Total number of people = 80

By using formula of probability,

P(Female∪studies French)= \(\frac{55}{80}\)=\(\frac{11}{16}\)

Hence the number of people who are female OR study French OR both is 55 and the probability that any person is female OR studies French OR both is 11/16.

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Answer:

(1,-1)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :).

the y-coordinate must be 7 in order for the point to lie on the line.

A line in the xy-plane passes through the origin and has a slope of 1/7. Point B (1, 7) lies on the line, as the slope of the line is calculated by the equation y = mx + b, where m is the slope of the line, and b is the y-intercept. Since the line passes through the origin, the y-intercept is 0. This can be expressed as y = (1/7)x + 0

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that there is no total computable function f(x, y) with the given property.

To prove this, we can assume that such a function f(x, y) exists and use it to show that the Halting problem is decidable. The Halting problem is the problem of determining whether a given program will halt or run forever on a given input. It is known to be undecidable, meaning that there is no algorithm that can solve it for all cases.

However, if we have a function f(x, y) that can tell us in how many steps a program will halt (or that it will not halt), then we can use it to decide the Halting problem. Given a program P and input I, we can construct a new program P.(Cy) that simulates P on I and counts the number of steps it takes for P to halt (or runs forever). Then, we can use f(P.(Cy), y) to determine whether P halts on I or runs forever. If f(P.(Cy), y) returns a number less than or equal to the number of steps that P actually takes to halt on I, then we know that P halts on I. Otherwise, we know that P runs forever on I.

Since the Halting problem is undecidable, we cannot have a function f(x, y) that solves it in the given way. Therefore, there is no total computable function f(x, y) with the property that if P.(Cy) stops, then it does so in f(x, y) or fewer steps.

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The slope of A'B' is 0 and the length of A'B' is 1/4(5) = 1.25 units.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

The line AB has the following coordinates.

A = (1, 4)

B = (6, 4)

The distance between AB is given as:

AB = √(6 - 1)² + (4 - 4)²

AB = √(5)²

AB = 5

The slope of AB = 0.

For the dilated rectangle the slope remains the same.

The slope of A'B' is 0 and the length of A'B' is 1/4(5) = 5/4 = 1.25 units.

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The correct question is:

P₂ = (-3, 10)

The midpoint, (a, b) = (-5, 3)

The starting point, P₁ = (x₁, y₁) = (-7, 4)

Let P₂ = (x₂, y₂)

The formulae for the coordinates of the midpoint are:

To solve for x₂, substitute a = -5, x₁ = -7 into the formula

To solve for y₂, substitute b = 3, y₁ = -4 into the formula

Therefore, P₂ = (-3, 10)

A system of equation is 1680mi3hr = p−w×600×2hr -p + w  for a jet airliner travels 1680 miles in 3hours with a tail wind.

Let p be  the speed of the jet airliner

and w  be the speed of the tail wind

It takes the plane 3 hours to go 1680 miles when a jet airliner travels with a tail wind and and 3.5 hours to go 1680 miles against the wind.. So, using system of equations we get

1680mi3hr = p−w×600×2hr = p + w

Solving for the left sides we get:

200mph = p - w

300mph = p + w

Now solve for one variable in either equation, we use

200mph = p - w

Add w to both sides:

p = 200mph + w

Using the value of x, we can found the value of w using system of equations.

300mph = (200mph + w) + w

Combine like terms:

300mph = 200mph + 2w

Subtract 200mph on both sides:

100mph = 2w

On dividing by 2:

50mph = w

So the speed of the tail wind is 50mph.

Therefore, 200mph = p - 50mph

Add 50mph on both sides:

250mph = p

Hence, speed of jet airliner is 250mph.

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\((-1,\infty)\cap (-2,2) ---- > (-1,2)\)

Generally, the equation for the function is mathematically given as

f(x) = -5x + 11 + 10

Therefore

When x >= -1, the function decreases because f(x) = -5(x+1)+10.

This means that the function is dropping throughout this range\((-1,\infty).\)

b)

A look at the graph reveals a decreasing trend in the function over the timeframe (-2,2).

In conclusion, The number line will represent

Using the point where the intervals with decreasing functions overlap

\((-1,\infty)\cap (-2,2) ---- > (-1,2)\)

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Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

Answer:

\(2\frac{1}{3}\)

Step-by-step explanation:

The improper fraction was 7/3 put that into a mixed number it it 2 1/3.

Answer:

Step-by-step explanation:

See attached image.

1.  What would you use to graph the solution to an equation with one variable?      

I picked an example equation, y=2x+3, to demonstrate the impacts of changing condions.  It is the blue line.  I'm not sure how to answer the quesion "What would you use . . .", but my response would be "I would use DESMOS to graph the solution."  It is free, efficient, and very flexible.  It can handle multiple equations and a variety of functions.

2.  What would happen to the graph if all the y-values were increased by 1?

I added 1 to the right side of the equation to increase all the y values by 1.  It is the black line.  All points are raised by 1.

3.  What would happen to the graph if all the x-values were increased by 1?

I added +1 to each x value, shown as the red line.  All points are increased by 2 over the original line.

4.  What would happen to the graph if all the y-values were multiplied by 2 or by 1/2?

See Increeases2, attached.  The slopes of the lines are doubled when the y values are doubled, and decreased by (1/2) when they are multiplied by (1/2).  The y intercepts are also doubled or halved, respectively.

A period is the difference in x over which a sine function returns to its equivalent state and the amplitude is A/5.

Amplitude:

The amplitude of a periodic variable is a measure of its change over a period of time, such as a temporal or spatial period. The amplitude of an aperiodic signal is its magnitude compared to a reference value. There are various definitions (see below) of amplitude, which is any function of the magnitude of the difference between the extreme values ​​of a variable. In the previous text, the phase of a periodic function is called the amplitude.

                       X = A sin (ω[ t - K]) + b

A is the amplitude (or peak amplitude),

x is the oscillating variable,

ω  is angular frequency,

t is time,

K and b are arbitrary constants representing time and displacement respectively.

According to the Question:

An equation does not have an amplitude. This "equation" represents the formula of a vibration, and was better written as:

X= A/5* sin(1000.t + 120)

These oscillations have a certain amplitude. X values ​​can vary from minimum to maximum. Normally, the stop position of the oscillation is X=0. In this case, we can see that the maximum occurs when the sine is +1 and the minimum occurs when the sine is -1.

For theses cases X= A/5 respectively -A/5.

Therefore,

The amplitude is A/5.

For formulas of this type, the term in front of the sinus (or cosine) is equal to the amplitude.

Complete question:

Can I find the amplitude of this equation? A/5 *