How do I solve problem number 4?

Answer:

each bar costs $3.

Step-by-step explanation:

The inequality that describes the problem is:

3x > 18

This inequality states that the total cost of the soap bars, represented by 3x, is greater than Colleen's budget of $18. The variable x represents the number of bars of soap Colleen bought. So, if x represents the number of bars of soap Colleen bought, 3x represents the total cost of those bars, since each bar costs $3.

✰ Read

If my answers have been helpful to you, please consider giving me a brainlist. A brainlist is a way to acknowledge and show appreciation for my efforts. It is also a way to support the development of the model and help to make it even more accurate and efficient. Giving a brainlist is a simple process and it only takes a moment of your time. It not only helps me to improve but also it helps others who are looking for similar information in the future. Your positive feedback is always appreciated.

Answer:

8

Step-by-step explanation:

Let's call the first of the three consecutive even integers x.

Since the integers are consecutive and even, we know that the next integer will be x+2, and the next one will be x+4.

We can use this information to set up an equation:

x + (x+2) + (x+4) = 30

Simplifying this equation, we get:

3x + 6 = 30

Subtracting 6 from both sides:

3x = 24

Dividing by 3:

x = 8

So the first of the three consecutive even integers is 8

The value of the segment BA for the similar triangles is equal to 12.6.

The triangles ABC and ADE are similar, this implies that the length EA of the smaller triangle is similar to the length CA of the larger triangle

and the length DA of the smaller triangle is similar to the length BA of the larger triangle

so;

DA/BA = EA/CA

DA/(7 + DA) = 3.2/7.2

7.2DA = 3.2(7 + DA) {cross multiplication}

7.2DA = 22.4 + 3.2DA

7.2DA - 3.2DA = 22.4

4DA = 22.4

DA = 22.4/4 {divide through by 4}

DA = 5.6

BA = 7 + DA = 12.6

Therefore, the value of the segment BA for the similar triangles is equal to 12.6.

Know more about similar triangles here:https://brainly.com/question/14285697

#SPJ1

The science of statistics focuses on creating and researching strategies for gathering, analysing, interpreting, and presenting empirical data.

Data is frequently presented in graphs, tables, and charts that analyse the data and aid in problem- and decision-solving. Calculating the sample size and population, determining the mean, mode, and median, as well as the standard deviation and variance, are some of the most crucial statistical calculations. Data, which can take the form of words or numbers, are the actual values of the variable.

Statistics is a technique for interpreting, analysing, and summarising data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential.

To know more about statistics visit:-

brainly.com/question/29093686

#SPJ1

According to the representation of the linear model, the balloon's height is zero feet after 15 seconds.

Depending on the context, the word "linear model" in statistics might signify many things.

The phrase is frequently used interchangeably with a linear regression model since it most frequently relates to regression models.

The phrase has a different connotation when applied to time series analysis.

In each instance, "linear" refers to a subclass of models for which the complexity of the underlying statistical theory can be greatly reduced.

The linear model shows that the water balloon is launched from a height of 40 feet above.

The linear model shows that the water balloon is launched from a height of 40 feet above.

Now, the balloon rises to a height of 70 feet before falling back to the ground as a result of gravity.

After about ten seconds, the balloon lands on the surface and makes a splash.

The balloon will therefore stay on the ground for a while longer.

As a result, the balloon's height at time 15 seconds is always 0 feet, according to the linear model.

To learn more about linear regression refer to:

https://brainly.com/question/25987747

#SPJ1

If sample variance were to be computed by dividing SS by n, then the average value of the sample variances from all the possible random samples would consistently underestimate the population variance.

The sample variance is an estimate of the population variance, and it is calculated by dividing the sum of squared deviations (SS) by the sample size minus one (n - 1).

The reason for dividing by n-1 instead of n is due to the fact that the sample variance is an estimate of the population variance and not the exact value. When computing the sample variance, we use the sample data to make an estimate of the population variance. By dividing by n-1 instead of n, we adjust for the fact that the sample is a subset of the population and introduce a small amount of bias into the estimate to correct for this lack of representation.

This correction is known as the Bessel's correction and it makes the sample variance a more accurate estimate of the population variance by adjusting for the variability inherent in sampling. As a result, when sample variance is computed using the Bessel's correction (dividing by n-1), the average value of the sample variances from all possible random samples will consistently underestimate the population variance.

Learn more about variance here: https://brainly.com/question/25639778

#SPJ4

Answer:

---------------------

Evaluate expressions using respective points on graphs :

Answer:

7 + [x/(3x9)]

Step-by-step explanation:

Answer:

it's 3gc brought video gloves

If the line segment joining the points A (x1, y1) and B(x2, y2) is divided by a point P in the ratio 1 : k internally, then the coordinates of the point P are P[(1x₂ + kx₁)/(1 + k)],  [(1y₂ + ky₁)/(1 + k)].

In this scenario, we would use line ratio to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 1 to k.

In Mathematics, line ratio can be used to determine the coordinates of the point P and this is modeled by this mathematical expression:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Substituting the given parameters into the line ratio formula, we have the following;

P(x, y) = [(1x₂ + kx₁)/(1 + k)],  [(1y₂ + ky₁)/(1 + k)]

Read more on line ratio here: brainly.com/question/14457392

#SPJ1

Answer:

Deniz's expected winnings if she chooses rock are $30. If she chooses paper, her expected winnings are $20. If Deniz wants the best payoff in the long run, she should choose paper.

Expected winnings for rock:

Deniz wins against scissors with probability of 30%, and loses against paper with probability of 20%, so her expected winnings are (0.3100) - (0.2100) = 30

Expected winnings for paper:

Deniz wins against rock with probability of 50%, and loses against scissors with probability of 30%, so her expected winnings are (0.5100) - (0.3100) = 20

Answer:

Y- intercept is (0,-5), not (0,5), but everything is right! Nice job

Step-by-step explanation:

Finding slope and Y-intercept

Slope being (y2-y1)/(x2-x1) of any two points

I'll do (6,7) and (9,13), so

(13-7)/(9-6) = 6/3 = 2.

Slope = 3

For Y-Intercept

That's where X = 0. On this graph, X = 0, where Y= -5, making the Y-intercept -5

Slope intercept form is y = mx + b

Plugging everything together, we get K(X) = 3x - 5

Answer:

A

Step-by-step explanation:

In a systems of equations we have to set up two equations which relate to each other and in this case we're setting up two linear equations, so let's take a look at the question.

Let's first make an equation from: "A monster pizza, m, has 7 fewer slices than twice the number on a large pizza, l" That means if we subtracted  twice the large pizza from monster pizza, we would get 7 slices. [tex]2l-m=7[/tex] and if we multiply by -1 on both sides: [tex]m-2l=-7[/tex]

Now let's use the second piece of information given: "the difference between the number of slices on a monster pizza and the number of slices on a large pizza is 4 slices" this means if we take away 4 slices from the monster pizza we get the same amount of slices on a large pizza: [tex]m-4=l[/tex] and rearranging we get: [tex]m-l=4[/tex] making A the correct option

For given parallelogram which is a quadrilateral,   The coordinates of the fourth vertex of parallelogram is (0,3).

what are quadrilaterals?

A quadrilateral is a polygon with four sides, four vertices, and four angles.

It is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees. The word quadrilateral is derived from the Latin words ‘Quadra’ which means four and ‘Latus’ means ‘sides’. Not all the four sides of a quadrilateral need to be equal in length. Hence, we can have different types of quadrilaterals based on sides and angles.

Five special quadrilaterals are shown below in the image, along with their definitions and pictures, and points for them to get proven.

Now,

Let A(-4,0), B(4,-3), C(-2,-6) and D(x,y)

As for parallelogram diagonals bisect each other.

The midpoint of Diagonal AC= The midpoint of BD

((-4+4)/2,(0-3)/2)=(x-2)/2,(y-6)2

x-2=0     y=-3+6

x=0        y=3

Hence,

              The coordinates of the fourth vertex of parallelogram is (0,3).

To know more about Quadrilaterals visit the link

https://brainly.com/question/29934291?referrer=searchResults

#SPJ1

Check the picture below.

now, doing a prime factoring on both the denominators, notice, the repeated factors get used only once in the LCD calculation, so the red "3" only goes once in the LCD and then the others, so the LCD for both of those is 3*3*2*2 = 36.

"L" in LCD stands for Least, so that's the smallest, however we can have a CD that's no small and is simply a multiple of the LCD, let's check who isn't an LCD or CD

[tex]\begin{array}{rllll} 108=3\cdot 36 & \bigotimes\\\\ 72=2\cdot 36& \bigotimes\\\\ 36=1\cdot 36&\bigotimes\\\\ 24&\textit{\LARGE \checkmark} \end{array}[/tex]

The equivalent ratios for the given cost to toss the ring are found as:

For the stated question:

The cost to toss 34 rings = $17.

Part a: ___ to $1.

$17 ---> 34 toss

$1 ---> 34/17 toss

$1 ---> 2 toss

Part b:

34 toss   ---> $17

20 toss ---> $17*20 / 34

20 toss ---> $10

Thus, the equivalent ratios for the given cost to toss the ring are found as:

2 toss --->  $1

20 toss ---> $10

Thus, the graph is plotted for the points on the coordinate axes.

To know more about the equivalent ratios, here

https://brainly.com/question/2914376

#SPJ1

The complete question is attached:

The value of the unknown number x is given as follows:

x = -65.

The number is unknown, hence the variable is given as follows:

x.

-1/5 of the number is given as follows:

-1/5x = -x/5.

The difference of -1/5 of a number and 1 is given as follows:

-x/5 - 1.

The difference has a result of 12, hence:

-x/5 - 1 = 12.

Then the variable x is obtained as follows:

-x/5 = 13

x = -13 x 5

x = -65.

The problem asks for the value of the unknown number.

More can be learned about expressions at https://brainly.com/question/723406

#SPJ1

The equation of g(x) is g(x) = 2*x^(1/2)

Explanation:

The original function f(x) is defined as f(x) = x^(1/2) which is the square root of x. When the function is stretched horizontally by a factor of 2, the x term becomes 2x. So the new function g(x) is defined as g(x) = 2*x^(1/2)

Answer:

1/7

Step-by-step explanation:

All parts are equal to one therefore raisons are just 1 out of 7 other slices on the pie chart

To determine what part of the premium trail mix is composed of raisins, refer to the given pie chart. The portion represented by 'raisins' indicates the amount of raisins in the mix. Raisins slice is 1/7, so 14.28% of premium blend is composed of raisins.

To find out what part of the premium blend trail mix is composed of raisins, you need to look at the pie chart. The pie chart should be separated into multiple sections, with each section representing a different ingredient in the trail mix. The section labeled as raisins would represent the part of the premium blend that is composed of raisins.

For example, if the 'raisins' slice is 1/4, 25%, or 90 degrees of the pie chart, this means that 1/4, 25%, or a proportional quantity of the trail mix is composed of raisins. This is because a pie chart is a circle, and a full circle is 100% or 360 degrees - so 1/4, 25%, or 90 degrees all represent the same quantity in this context.

Remember to always check the labels and any information provided in the pie chart. It provides a visual representation of data and can help you understand the proportions of different components in a mixture.

https://brainly.com/question/30145769

#SPJ2

The number of years it will take the population of the city to reach 1million is 14.1 years

Exponential function, in mathematics, a relation of the form y = ax, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

1000000 = 10⁶

10⁶ = P(t)

10⁶ = 244115e0.1t

10⁶/244115 = 0.1t

e0.1t = 4.096

ln0.1t = ln 4.096

0.1t = 1.41

t = 1.41/0.1

t = 14.1 years

therefore the years it will take the city to be populated with 1million is 14.1 years

learn more about exponential function from

https://brainly.com/question/2456547

#SPJ1

When revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the volume occupied between the lines -

x = 4, y = x and x - axis.

Refer to the image attached. The reflection over the {x} axis will occupy more volume as compared to the reflection over the {y} axis. The figure generated in both the cases would be a cuboidal prism structure.

Therefore, when revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

#SPJ1

By using elimination method, the solution of the system of equations are x = - 8, y = 9.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The system of equations are,

⇒ 5x + 4y = - 4

⇒ 4x + 4y = 4

Now, We can solve by using elimination method as;

The system of equations are,

⇒ 5x + 4y = - 4  .. (i)

⇒ 4x + 4y = 4

⇒ x + y = 1 .. (ii)

Multiply by 5 in (ii) and subtract from (i);

⇒ 5x + 4y - 5x - 5y = - 4 - 5

⇒ - y = - 9

⇒ y = 9

And, From (ii);

⇒ x + y = 1

⇒ x + 9 = 1

⇒ x = 1 - 9

⇒ x = - 8

Thus, The solution of the system of equations are x = - 8, y = 9.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

k=8 is not part of the solution set

Step-by-step explanation:

5(8) < 39

40 < 39

If you plug in 8 for K it makes the inequality incorrect. 40 is not less than 39.

The kernel of A is {(0,0,1,0)^T} and  the basis is {(1,0,2,4)^T, (0,1,0,-3)^T}.

The kernel of a matrix A is the set of all vectors x such that Ax = 0, where 0 is the zero vector.

To find a basis for the kernel of A, we can row reduce the augmented matrix [A | 0] to reduced row echelon form using Gaussian elimination.

The row reduced echelon form of the matrix A is

1 0 2 4

0 1 0 -3

0 0 0 0

0 0 0 0

Write out the elements in the second column

0 1 0 0

Reverse the elements

0 0 1 0

So, the basis for the kernel of A is {(0,0,1,0)^T}.

The image of a matrix A is the set of all linear combinations of the columns of A.

So, the basis for the image of A is {(1,0,2,4)^T, (0,1,0,-3)^T}.

Read more about matrix at

https://brainly.com/question/2456804

#SPJ1

Answer:

coordinates r the: (-2, -4.50)

Step-by-step explanation:

option b is the ans