Alison is buying notebooks for school. Small notebooks cost $3 each, and large notebooks cost $5 each. If Alison needs to buy at least 12 notebooks and has no more than $45 to spend, what is the maximum number of large notebooks she can buy?

Answer:

-4

Step-by-step explanation:

Given the function :

c = – 4n + 60

Where, c = cost of participation ;

n = number of persons

The cost equation can be related to the slope intercept, equation ;

y = mx + b

Where, m = Slope or rate of change

b = intercept

Comparing the slope intercept equation to the cost equation ;

m = - 4 ; Hence, the rate of change of cost is - 4

Answer:

Image

Step-by-step explanation:

Answer: either I don't understand the question or its 72% and I'm fairly certain its 72%

Answer:

\(x=\frac{1}{7}\)

Step-by-step explanation:

\(3x-4x-4-x+65=83x-8x+50\)

\(3x-4x-x-4+65=83x-8x+50\)

\(-2x-4+65=83x-8x+50\)

\(-2x+61=83x-8x+50\)

\(-2x+61=75x+50\)

\(-2x+61-61=75x+50-61\)

\(-2x=75x-11\)

\(-2x-75x=75x-11-75x\)

\(-77x=-11\)

\(\frac{-77x}{-77}=\frac{-11}{-77}\)

\(x=\frac{1}{7}\)

Answer:

x=1/7

Step-by-step explanation:

3x-4x-4-x+65=83x-8x+50

Solving the right side of equation we have;

83x-8x+50 = 75x +50

Solving the left side of the equation we have;

3x-4x-4-x+65= -2x +61

Equating left side and right side.

-2x +61= 75x +50

by grouping terms with x , we have :

-2x- 75x = -61+50

-77x= -11

x= -11/ -77 = 1/7

The correct answer to the above threads-based question Option is d. 1/6 inch.

The phrase "12 threads per inch" refers to the number of ridges or threads on the screw shaft for every inch of its length. This indicates that the space between two consecutive threads for a single thread is 1/12 inch.

When the screw turns two complete revolutions, it travels a distance equal to the screw pitch. The spacing between neighboring threads is specified as the screw pitch. Because there is just one thread in this scenario, the pitch is 1/12 inch.

When the screw completes two complete rotations, it advances into the nut a distance equal to the screw pitch, which is 1/12 inch. Since the answer choices are given in fractions, we can simplify 1/12 to 1/6 by dividing both the numerator and denominator by 2. Hence, the correct answer is d) 1/6 inch.

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The correct answer to the above threads-based question Option is d. 1/6 inch.

The phrase "12 threads per inch" refers to the number of ridges or threads on the screw shaft for every inch of its length. This indicates that the space between two consecutive threads for a single thread is 1/12 inch.

When the screw turns two complete revolutions, it travels a distance equal to the screw pitch. The spacing between neighboring threads is specified as the screw pitch. Because there is just one thread in this scenario, the pitch is 1/12 inch.

When the screw completes two complete rotations, it advances into the nut a distance equal to the screw pitch, which is 1/12 inch. Since the answer choices are given in fractions, we can simplify 1/12 to 1/6 by dividing both the numerator and denominator by 2. Hence, the correct answer is d) 1/6 inch.

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==============================================================

Explanation:

Let's say your first selection was red. If you have really good luck, you'll pick 7 more red and the answer would be 8. However, we need to consider the opposite side of the spectrum. We need to consider the worst possible scenario and having the worst luck ever. In this scenario, we don't match colors until the very last possible moment. If you pick red first, then you cannot pick red again until you've picked blue, yellow and black/white.

There are a few ways to consider the worst case scenario. One way is to form a table as shown below. See the attached image. Each row represents the colors "red, blue, yellow, black/white" in that exact order. This could be one way to select the items. For this row, we haven't selected a repeat color. Red is selected first. Each row repeats itself, although the black/white gets exhausted after 4 rows.

By the 7th row, we have 7 red, 7 blue and 7 yellow. We don't need a full 8th row to reach our goal. We can stop once we reach the highlighted cell I marked in the table. That cell represents picking the 8th red. You could replace that highlighted cell with "blue" or "yellow" and still achieve the goal because you'd get 8 of that color. I'm just picking on red since it's the first one listed.

If you count out the items, you should count out 33 total. Ignore the stuff after the highlighted cell in row 8.

We have a 7 by 3 rectangle that has 7*3 = 21 items. Then the highlighted cell bumps the count up to 21+1 = 22. Finally, the four black/white items are counted as well to get to 22+4 = 26 as the final answer

We need to make 26 selections to guarantee that we selected 8 of the same color. Again, this is because we're considering a scenario in which we get the worst luck ever and don't make any color matches until the last possible moment.

Theorem 3.7: [Insert specific theorem statement here]

Proof:
Column 1: Statements
1. [State the given or known information]
2. [State any definitions or previously proven theorems that are applicable]
3. [State any logical or algebraic manipulation steps]

Column 2: Reasons
1. Given
2. Definition of [insert term or concept]
3. [Justify each step using a valid reason, such as the transitive property, substitution property, or a previously proven theorem]

Please note that this is a general template, and the specific steps and reasons will vary depending on the theorem you are working on. Make sure to include all the necessary information and justifications to support your proof. If you provide me with the specific Theorem 3.7 you are referring to, I can help you create a more tailored proof.

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Answer:

\(\dfrac{3}{10}\)

Step-by-step explanation:

Length of an arc\(=\dfrac{\theta}{2\pi}X 2\pi r=\theta r\)

If the central angle of the arc is \(\dfrac{3\pi}{5}\)

Length of an arc\(=\dfrac{3\pi r}{5}\)

Therefore:

Ratio of the length of the arc to the circumference

\(=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}\)

Therefore, the arc is \(\dfrac{3}{10}\) of the circumference is this arc.

Answer: 3 /10

Step-by-step explanation: Khan Academy

x-coordinate of the vertex is time in seconds and y-coordinate of the vertex is the height of the football.

Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Given that Jevonte kicks a football. Its height in feet is given by h = -16t² +48t

where t represents the time in seconds after kick.

We have to find x-coordinate (or t-coordinate) of the vertex is time in seconds and y y-coordinate (or h-coordinate) of the vertex is the height of the football.

Hence, x-coordinate of the vertex is time in seconds and y-coordinate of the vertex is the height of the football.

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Answer:

Step-by-step explanation:

x = 180-65 = 115°

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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ANSWER:

The new perimeter will be 1/3 times the perimeter of the original rectangle.

;p :D

Answer:

1/3

Step-by-step explanation:

Note: Your function is missing some information. It seems your function is

\(f\left(x\right)=\frac{-3}{x}+7\).

So, I am solving the question based on the function \(f\left(x\right)=\frac{-3}{x}+7\),  because it would still solve your query.

Answer:

Please see the explanation.

Step-by-step explanation:

Given the function

\(f\left(x\right)=\frac{-3}{x}+7\)

A function g is the inverse of a function f for y = f(x), x=g(y)

\(y=\frac{-3}{x}+7\)

Replace x with y

\(x=\frac{-3}{y}+7\)

solve for y

\(y=-\frac{3}{x-7}\)

so the inverse of \(f\left(x\right)=\frac{-3}{x}+7\) will be:

\(f^{-1}\:\left(x\right)=-\frac{3}{x-7}\)

Finding the domain of \(f^{-1}\:\left(x\right)=-\frac{3}{x-7}\)

As we know that domain is the set of the possible input values where the function is defined.

so the function domain must be: \(x<7\quad \mathrm{or}\quad \:x>7\)

Therefore,

\(\mathrm{Domain\:of\:}\:-\frac{3}{x-7}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<7\quad \mathrm{or}\quad \:x>7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:7\right)\cup \left(7,\:\infty \:\right)\end{bmatrix}\)

Answer:

I helped you with a previous question. So I got your pass.

Step-by-step explanation:

bla bla bla bla

have a great day!

Based on the two-tangent theorem, the value of x is calculated in the circle as: x = 2.

Based on the two-tangent theorem, if two tangents are drawn from a circle to meet each other at any point outside the circle, then the lengths of the tangents are congruent to each other, that is, they are equal.

Therefore, we would create the following equation based on the two-tangent theorem:

20x + 6 = 10x + 26

Combine like terms:

20x - 10x = -6 + 26

10x = 20

Divide both sides by 10:

10x/10 = 20/10

x = 2

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Answer:

\(22^\circ + m\angle C = 90^\circ\)

Step-by-step explanation:

Pre-Solving:

We are given that \(\angle A\) (which is equal to 22°) and \(\angle B\) are vertical angles, and that \(\angle B\) is complementary to \(\angle C\).

We want to write an equation that will help us solve \(\angle C\).

Solving:

Recall that vertical angles are congruent by vertical angles theorem.

This means that \(\angle A \cong \angle B\); it also means that the measure of \(\angle B\) is also 22°.

Also recall that complementary angles add up to 90°.

This means that \(m\angle B + m\angle C = 90^\circ\).

Since we deduced that \(m\angle B\) is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for \(\angle C\) is:

\(22^\circ + m\angle C = 90^\circ\)

Answer:

m∠A = m∠B

m∠A = 22°

m∠B + m∠C = 90°

Step-by-step explanation:

∠A and ∠B are vertical angles. (Given)

By definition of vertical angles, a pair of angles with the same vertex and that are on opposite sides of two intersecting straight lines are congruent.

It is given that ∠A is 22°, and is a vertical angle with ∠B.

∴ ∠A ≅ ∠B (Definition of Vertical Angles).

IF m∠A = 22° and ∠A ≅ ∠B, THEN m∠B = 22° (Transitive Property of Equality).

∠B is complementary with ∠C (Given)

m∠B + m∠C = 90° (given).

m∠B = 22° (⇒Transitive Property of Equality)

Plug in 22 for m∠B in the given equation:

22 + m∠C = 90

Isolate the term, m∠C. Note the equal sign, what you do to one side, you do to the other. Subtract 22 from both sides of the equation:

m∠C + 22 (-22) = 90 (-22)

m∠C = 90 - 22

m∠C = 68°

~

Therefore, your system of equation will be:

m∠A = m∠B

m∠A = 22°

m∠B + m∠C = 90°

~

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The volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane is V = xyz, where x, y, and z are the lengths of the sides of the rectangular box.

To find the largest volume, we need to maximize x, y, and z. Since we have three faces in the coordinate planes, one vertex will be at the origin (0, 0, 0). The other two vertices will lie on the coordinate axes.

Let's assume the vertex on the x-axis is (x, 0, 0), and the vertex on the y-axis is (0, y, 0). The third vertex on the z-axis will be (0, 0, z). Since the box is in the first octant, all the coordinates must be positive.

To maximize the volume, we need to find the maximum values for x, y, and z within the constraints. The maximum values occur when the box touches the coordinate planes. Therefore, the maximum values are x = y = z.

Substituting these values into the volume formula, we get V = xyz = x³. Therefore, the volume of the largest rectangular box is V = x³.

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What is the maximum volume of a rectangular box situated in the first octant, with three of its faces lying on the coordinate planes, and one of its vertices located in the plane?

The expression that represents the value of the stock after two years have passed is 1.5498x

Percentage is the fraction of an amount expressed as a number out of hundred. The sign used to represent percentages is %.

The value of the stock after year 1 = worth of the stock when it was bought x (1 + percentage increase in year one)

1.23x

The value of the stock after year 2 = worth of the stock in year 1 x (1 + percentage increase in year two)

1.26 x 1.23x = 1.5498x

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Given statement solution is :- For your mortgage:

P = $275,000 (Principal amount)

r = 0.03 (Annual interest rate expressed as a decimal)

n = 360 (Total number of compounding periods)

t = 30 (Loan term in years)

In the context of a mortgage, the variables P, r, n, and t typically represent the following:

P: Principal amount or loan amount, which in this case is $275,000.

r: Annual interest rate, expressed as a decimal. In this case, it is 3%, which is equivalent to 0.03.

n: Total number of compounding periods over the loan term. Since the loan term is 30 years, and compounding is typically done on a monthly basis, the total number of periods would be 30 multiplied by 12, which is 360.

t: Time period, usually measured in years. In this case, the loan term is 30 years.

Therefore, for your mortgage:

P = $275,000 (Principal amount)

r = 0.03 (Annual interest rate expressed as a decimal)

n = 360 (Total number of compounding periods)

t = 30 (Loan term in years)

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A) Sample size of compound event = 25

B) New Sample size = 36

What is Compound event?

A compound event is one that has more than one sample point. Simple events are less complicated than compound events. These occurrences entail the possibility of multiple occurrences. One is the probability of all possible outcomes of a compound event.

An event that consists of two or more simple events is called a compound event. Simple events are those that can only have one result, whereas complex events can have a variety of distinct results. Compound events can consist of several independent or dependent occurrences, where the result of one event has no bearing on the likelihood of the other.

Given,

Number of buttons in a container = 5

Lucas picks one button, replaces it and then picks another.

Therefore,

Sample size of the compound event

                 n = 5\(\times\)5

                 n  = 25

Now, one more button is added in the container and in total there are 6 buttons.

Lucas repeats the same process again and hence,

Sample size of the new compound event will be,

                  n = 6\(\times\)6

                  n = 36

Full Question is - Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is  ___  Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be ____

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Answer:

A

Step-by-step explanation:

For the sequence, the defining formula is given as;

an = Previous term + 9

So a2 will be -5 + 9 = 4

a3 will be 4 + 9 = 13

a4 will be 13 + 9 = 22

a5 will be 22 + 9 = 31

So the sequence of numbers will be;

-5, 4 , 13 , 22 , 31

Answer:

the measure of angle 1 is 125

Step-by-step explanation:

hope this you the answer to your question

Answer:

pls give image

Step-by-step explanation:

Answer: Midpoint = 0

Explanation:

The midpoint of segment ED can be calculated as:

Where E and D are the coordinates of E and D respectively.

So, replacing E by 2 and D by -2, we get:

Therefore the midpoint of segment ED is equal to 0.

Answer: To subtract mixed fractions with different denominators, you need to convert the mixed fractions to equivalent fractions with a common denominator. Once the fractions have a common denominator, you can simply subtract the numerators and keep the denominator the same.

Example:

the difference of 2 1/3 and 1 3/4 is 5/12.

Step-by-step explanation:

First, convert 2 1/3 to an improper fraction: 2 1/3 = 7/3

Next, convert 1 3/4 to an improper fraction: 1 3/4 = 7/4

Now, both fractions have the same denominator, 3. So, you can subtract the numerators:

7/3 - 7/4 = (7 * 4 - 7 * 3) / (3 * 4) = 28/12 - 21/12 = 7/12

Finally, convert the answer back to a mixed fraction: 7/12 = 7 ÷ 12 =  5/12.

We know that no matter how the two dice are biased, the numbers 2, 7, and 12 cannot be equally likely values for the sum. In particular, the sum cannot be uniformly distributed on the numbers from 2 to 12.

Explanation:

When we roll a fair die (i.e. an unbiased die), the probabilities of getting any one of the six possible numbers {1, 2, 3, 4, 5, 6} are equal to 1/6 each. But, when we use a biased die, the probabilities of getting any of the six possible numbers will no longer be equal. Some numbers will be more likely to occur, while others will be less likely to occur

For example:

if one of the dice has a weight in such a way that it always rolls a 6, then the probability of getting a sum of 2 will be zero, the probability of getting a sum of 7 will be 1/6, and the probability of getting a sum of 12 will be zero.However, if the dice are biased in some other way, we can still get non-zero probabilities for the sums of 2, 7, and 12. But, the probability of getting those three sums will not be the same. For instance, if one die is biased to always roll a 1, and the other die is biased to always roll a 6, then the probabilities of getting each of the sums 2, 7, and 12 are as follows:

P(2) = P(1, 1) = (1/6)² = 1/36

P(7) = P(1, 6) + P(6, 1) + P(2, 5) + P(5, 2) + P(3, 4) + P(4, 3) = 6(1/6)(1/6) = 1/6P(1

2) = P(6, 6) = (1/6)² = 1/36

So, the probability of getting a sum of 7 is six times as likely as getting a sum of 2 or 12. Therefore, the sum cannot be uniformly distributed on the numbers from 2 to 12.

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Answer: 16/3

Hope this helps !!!

In the give diagram, the value of f is 6.0

From the question, we are to determine the value of f

Using the law of sines, we can write that

\(\frac{f}{sinF} =\frac{e}{sinE}\)

From the given information,

F = 27°

e = 13

E = 98°

Putting the parameters into the equation, we get

\(\frac{f}{sin(27)} =\frac{13}{sin(98)}\)

\(\frac{f}{0.4540} =\frac{13}{0.9903}\)

\(f=\frac{13 \times 0.4540}{0.9903}\)

f = 5.9598

f ≅ 6.0

Hence, the value of f is 6.0

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