ming Math th grade > Assessment Language arts Analytics S.11 Solve two-step equations: word problems D2Y Science 18c+ 4 = 42 4c+18 42 Painted Pots lets customers choose and paint their own pottery. The store has teap multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She a painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery. Which equation can you use to find c, the cost of each teacup? Learn with an example ✓ OF Watch a video > Social studies 4(c + 18) 42 = Recommendations 18(c + 4) = 42​

The value of x in the given triangle is 2.44 units.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Similar figures are described as items with the same shape but varying sizes, such as two or more figures. While both have the same form, the sizes may vary. Each pair of comparable angles are equal. Similar equivalent side ratios exist.

Given that, LM bisects angle JLK.

Thus, angle JLM = angle MLK.

The two triangles triangle JKL and triangle MLK are similar using AA criteria.

Since, the two triangles are equal the ratio of their sides are equal.

Using Pythagoras theorem in triangle MLK we have:

LM² = 4² + 8²

LM = 8.9

Now, using the ratio:

x + 3 / 8.9 = x / 4

4x + 12 = 8.9x

12 = 4.9x

x = 2.44

Hence, the value of x in the given triangle is 2.44 units.

Learn more about similar triangles here:

https://brainly.com/question/14926756

#SPJ1

Answer:

Area of the figure=126.5cm²

Step-by-step explanation:

As we can see based on the shape of the figure, we can divide it into a;

→ Triangle

→ Rectangle

Formulas that we need are;

⇒ Area of triangle =1/2×base×height

⇒ Area of rectangle =length × width

Let's solve the area of the triangle first;

Then the area of the rectangle;

Finally, we add the triangle and rectangle together-

Area of Triangle + Area of Rectangle = 38.5cm²+88cm²

Area of the figure=126.5cm²

RevyBreeze

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.7 \end{cases}\implies SA=4\pi (2.7)^2\implies SA\approx 91.61~cm^2[/tex]

Answer: 75 [tex]m^{2}[/tex]

Step-by-step explanation:

5*5 + 5*10 = 25 + 50 = 75

please mark brainliest

There is not enough evidence to suggest that the difference between the two population means is statistically significant at the 5% significance level.

To test the hypothesis that the difference between two population means is zero, the researcher can use a two-sample t-test. The test statistic is calculated as the difference between the sample means divided by the standard error of the difference.

In this case, the sample means are 106.4 and 99.2, and the standard error of the difference is 6.1. Therefore, the test statistic is (106.4 - 99.2) / 6.1 = 1.18.

To decide whether to reject the null hypothesis that the difference between the two population means is zero, the researcher needs to compare the test statistic to the critical value. The critical value needed to reject the null hypothesis at a 5% significance level with 2 degrees of freedom (n1 + n2 - 2 = 2) is 2.09.

Since the test statistic of 1.18 is less than the critical value of 2.09, the researcher fails to reject the null hypothesis.

To learn more about statistics click on,

https://brainly.com/question/14000767

#SPJ4

Answer:

Interpolation and extrapolation are two methods used to estimate data points within or beyond a given set of values.Interpolation is the process of estimating a data point within the given range of values, based on the relationship between the known data points. For example, suppose we have the following data points: (1, 3), (2, 5), and (4, 9). If we want to estimate the value of y for x = 3, we can use interpolation to calculate it based on the trend of the data points within the given range. In this case, we can see that the slope of the line between (2, 5) and (4, 9) is the same as the slope of the line between (1, 3) and (2, 5). Therefore, we can estimate the value of y for x = 3 to be 7, using the trend of the known data points.Extrapolation, on the other hand, is the process of estimating a data point beyond the given range of values, based on the trend of the known data points. For example, suppose we have the same data points as before: (1, 3), (2, 5), and (4, 9). If we want to estimate the value of y for x = 5, we can use extrapolation to calculate it based on the trend of the known data points. In this case, we can see that the slope of the line between (2, 5) and (4, 9) is the same as the slope of the line between (1, 3) and (2, 5). Therefore, we can estimate the value of y for x = 5 to be 11, assuming that the trend of the known data points continues beyond the given range.Here is a graph that shows both interpolation and extrapolation:

{graph attached below}

In the graph, the blue dots represent the known data points. The red line represents the trend of the known data points, which can be used for interpolation and extrapolation. The green dot represents an interpolated data point, while the purple dot represents an extrapolated data point.In summary, interpolation and extrapolation are similar in that they both involve estimating data points based on the trend of the known data points. However, they differ in that interpolation estimates data points within the given range of values, while extrapolation estimates data points beyond the given range of values.

hope this helps!

Answer: 0.51

Step-by-step explanation:

To find the value of P(F|B), we need to use the formula:

P(F|B) = P(F and B) / P(B)

where P(F and B) is the probability that a student prefers brand B and their strongest stroke is freestyle, and P(B) is the probability that a student prefers brand B.

From the given table, we can see that:

P(F and B) = 26/95

P(B) = 51/95

Therefore, we can calculate

:P(F|B) = (26/95) / (51/95) = 26/51 ≈ 0.51

So, the correct value of P(F|B) is approximately 0.51, which can be interpreted as the probability that a student's strongest stroke is freestyle given that they prefer brand B.

The solution to the system of equations is x = 5 and y = -3.

We can use the elimination method by multiplying the second equation by 2 and adding it to the first equation to eliminate y:

= -4y + 11x - 67 + 2(2y + 5x - 19) = 0

-4y + 11x - 67 + 4y + 10x - 38 = 0

21x - 105 = 0

Dividing both sides by 21, we get:

x - 5 = 0

So x = 5.

Now we can substitute x = 5 into either of the original equations:

2y + 5x - 19 = 0

2y + 5(5) - 19 = 0

y = -3

Thus, the solution to the system of equations is:

x = 5, and y = -3.

To know more about Equation:

brainly.com/question/2228446

#SPJ4

a) There are three values of x, namely -3, -2, and -1, for which g(x) = 0.

b) The absolute minimum value of g on the interval -7 ≤ x ≤ 9 is 20, and the absolute maximum value of g is 90

a. To check if there is a value of x for -3 ≤ x ≤ 2 such that g(x) = 0, we can plug in each value in the interval and see if any of them make g(x) equal to 0:

g(-3) = -3² + 5(-3) + 6 = 0

g(-2) = -2² + 5(-2) + 6 = 0

g(-1) = -1² + 5(-1) + 6 = 0

g(0) = 0² + 5(0) + 6 = 6

g(1) = 1² + 5(1) + 6 = 12

g(2) = 2² + 5(2) + 6 = 20

So, we can see that there are three values of x, namely -3, -2, and -1, for which g(x) = 0.

b. To find the absolute minimum and maximum values of g on the interval -7 ≤ x ≤ 9, we can first find the critical points of g by taking its derivative:

g'(x) = -2x + 5

Setting g'(x) = 0, we get:

-2x + 5 = 0

-2x = -5

x = 5/2

So, the only critical point of g is x = 5/2.

We can now check the values of g at the endpoints of the interval and the critical point:

g(-7) = -7² + 5(-7) + 6 = 20

g(9) = 9² + 5(9) + 6 = 90

g(5/2) = (5/2)² + 5(5/2) + 6 = 43.25

Therefore, the absolute minimum value of g on the interval -7 ≤ x ≤ 9 is 20, which occurs at x = -7, and the absolute maximum value of g is 90, which occurs at x = 9.

We can justify this by noting that g is a quadratic function with a negative leading coefficient, which means that it opens downward and has a maximum value at its vertex (which occurs at x = 5/2). Since the vertex is within the given interval, and the function is decreasing on the left and increasing on the right of the vertex, the maximum and minimum values of g must occur at the endpoints of the interval.

Learn more about the absolute minimum value and absolute maximum value at: https://brainly.com/question/29997563

#SPJ1

There are 55 children in total, and each team will have 27 children.

Now, you mentioned that there are 55 children in total. To find out how many children are on each team, we need to divide the total number of children by the number of teams. In this case, there are two teams, so we divide 55 by 2.

When we divide 55 by 2, we get 27.5. However, we cannot have half a child on a team, so we need to round the number to the nearest whole number. In this case, the median can be used to determine the most appropriate rounding.

The median is the middle value of a set of numbers. In this case, if we arrange the numbers 1, 2, 3, ..., 55 in ascending order, the median will be the 28th number.

Now, we have two options for rounding. We can either round up to 28 or round down to 27. Since we cannot have a partial player, we must decide which option is most appropriate.

In this case, it's best to have an equal number of players on each team. Therefore, we'll round down to 27. This means that each team will have 27 children.

To know more about total here

https://brainly.com/question/14286201

#SPJ4

Answer:

The equation that describes the number of mini trains Kolton would need in each row would be:

n = 12 + 5(r - 1)

where n is the number of mini trains in a given row, and r is the number of the row.

To find the number of mini trains in row 15, we simply substitute r = 15 into the equation and solve for n:

n = 12 + 5(15 - 1)

n = 12 + 5(14)

n = 12 + 70

n = 82

Therefore, Kolton would need 82 mini trains in the 15th row.

The college instructor is most concerned with equity standards.

Equity standards are when an instructor adjusts grades to ensure fairness to all students regardless of their individual performances.

This means that if a class as a whole does not do as well as last year, the instructor will alter the distribution of grades so that the overall grades reflect the effort put in by the class.

For example, if the class average is a C, the instructor may raise some grades to a B or even A in order to ensure that the grades are fair to all students in the class.

To know more about Equity standards click on below link:

https://brainly.com/question/11138125#

#SPJ11

The value of any number raised to the power of 0 is always 1, irrespective of the value of x, as long as x is not 0. So, x^0 = 1.

The air speed of a small airplane during the first 25 seconds of takeoff and flight can be modeled by Newton's Second Law of Motion.

According to Newton's Second Law of Motion, the rate of change of the airplane's momentum is equal to the sum of all the forces acting on the airplane. As the plane takes off and accelerates, the thrust of the engines acting in the forward direction causes the plane's momentum to increase. This increase in momentum results in an increase in air speed. The air resistance acting against the motion of the plane is another force that affects the plane's speed. As the plane accelerates, the air resistance increases, and the plane's speed decreases.

In summary, the air speed of a small airplane during the first 25 seconds of takeoff and flight can be modeled by Newton's Second Law of Motion, where the thrust of the engines and air resistance act as forces that influence the plane's air speed.

For more such questions on Newton's Second Law of Motion.

https://brainly.com/question/13447525#

#SPJ11

The area beyond the z-score in the tail for a z-score of .63 is 0.2643. This means that there is a 26.43% chance that a sample is at least as extreme as the z-score of .63.

To understand this concept, it is important to first have a basic understanding of the z-score and the normal distribution. A z-score is the number of standard deviations away from the mean of a normal distribution. It is also referred to as a standard score. It is a measure of how far a sample is from the mean. For a given sample, the higher the z-score, the farther away it is from the mean.

When looking at the normal distribution, the area of the tail is the area beyond the z-score. This means that the area of the tail is the area of the distribution that is beyond the z-score of the given sample. In other words, it is the area of the distribution that is farther away from the mean than the z-score. For example, for a z-score of .63, the area of the tail is the area of the distribution that is farther away from the mean that .63 standard deviations.

When finding the area beyond the z-score, it is important to understand that it is divided into two parts, the area in the left tail and the area in the right tail. The area in the left tail is the area beyond the z-score in the direction of the negative standard deviations. This means that it is the area of the distribution that is farther away from the mean than the negative z-score. The area in the right tail is the area beyond the z-score in the direction of the positive standard deviations. This means that it is the area of the distribution that is farther away from the mean than the positive z-score.

For the given z-score of .63, the area beyond the z-score in the tail is 0.2643. This means that there is a 26.43% chance that a sample is at least as extreme as the z-score of .63. This area is divided into the areas in the left tail of -.2643 and the area in the right tail of 0.2357.

See more about normal distribution at: https://brainly.com/question/14243195

#SPJ11

Therefore, the equation of the line is y = 6x + 1, in slope-intercept form.

In mathematics, an equation is a statement that shows the equality of two expressions. An equation usually contains one or more variables, which represent unknown values that we are trying to solve for. Equations can also be more complex, involving multiple variables and operations such as exponents, logarithms, and trigonometric functions. Solving equations is an important part of mathematics, and has many practical applications in science, engineering, and everyday life.

Here,

The equation of a straight line in slope-intercept form is y = mx + b, where m is the gradient (or slope) of the line, and b is the y-intercept (where the line crosses the y-axis). We are given that the gradient of the line is 6, and that it passes through the point (3, 19). We can use this information to find the equation of the line. First, we can use the point-slope form of the equation of a line to find the equation of the line that passes through the point (3, 19) with a gradient of 6. The point-slope form is:

y - y1 = m(x - x1)

where (x1, y1) is the point the line passes through, and m is the slope of the line.

Substituting the values we know, we get:

y - 19 = 6(x - 3)

Expanding the brackets, we get:

y - 19 = 6x - 18

Adding 19 to both sides, we get:

y = 6x + 1

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

The solution to the equation 5 – 6x = 8x + 17 is x = -6.

Using the general solution for linear equations, we can rewrite the given equation as x = (a - d)/(c + b). This means that the solution for x is equal to the fraction (a - d) divided by (c + b).

Now let's use this general solution to solve the equation 5 – 6x = 8x + 17. First, we need to identify the values of a, b, c, and d in the equation. From the given equation, we can see that a = 5, b = -6, c = 8, and d = 17.

Next, we can substitute these values into the general solution and simplify:

x = (a - d)/(c + b)

x = (5 - 17)/(8 - 6)

x = -12/2

x = -6

To know more about equation here

https://brainly.com/question/10413253

#SPJ4

Answer:-6/7

Step-by-step explanation: got it right on ed

This tree diagram shows all possible orders in which Ryan can read the 3 books, including reading the mystery book (M) first, the history book (H) second, and the biography (B) last, as well as reading the biography first, the mystery second, and the history last.

Mystery is an intriguing and often baffling phenomenon or situation. It is something that is not easily explained or understood and often involves a puzzle or secret that needs to be solved. It can be an event, an entity, or a situation that evokes curiosity, suspense, and a desire to uncover the truth. Mystery can be found in everyday life, literature, films, and other forms of entertainment. It is often used to create a sense of anticipation and wonder, and can be a powerful tool in storytelling. Mystery can also be used to explore deeper truths and to connect with our own inner mysteries.

To learn more about mystery
https://brainly.com/question/25734188
#SPJ1

Complete Question is attached below:

Based on the given information, the scout should choose Player A if they are looking for consistency.

What are range and standard deviation?

Range is the difference between the highest and lowest scores in the set.

Standard deviation measures how spread out the scores are from the mean.

To determine which player is more consistent, we need to look at the variability in their scores. One way to measure variability is to calculate the range and the standard deviation of each player's scores.

The smaller the range, the more consistent the player's scores are.

A smaller standard deviation indicates that the scores are closer together, which means the player is more consistent.

Using the data provided, we can calculate the range and standard deviation for both players:

Player A:

Range = 21 - 0 = 21

Standard deviation = 5.70

Player B:

Range = 48 - 3 = 45

Standard deviation = 10.89

From these calculations, we can see that Player A has a smaller range and a smaller standard deviation, which means that their scores are more consistent than Player B's. Therefore, the scout should choose Player A if they are looking for consistency.

To know more about the range and standard deviations visit:

brainly.com/question/14801621

#SPJ1

The mean absolute deviation (MAD) of the given set of data is 3.875.

To calculate the mean absolute deviation, we first need to find the mean of the data set by adding up all the numbers and dividing by the total number of values:

Mean = (12 + 10 + 12 + 6 + 8 + 4 + 2 + 12) / 8

Mean = 8

Next, we find the absolute deviation of each number from the mean. To do this, we subtract the mean from each number and take the absolute value:

|12 - 8| = 4

|10 - 8| = 2

|12 - 8| = 4

|6 - 8| = 2

|8 - 8| = 0

|4 - 8| = 4

|2 - 8| = 6

|12 - 8| = 4

Then, we find the mean of the absolute deviations:

Mean absolute deviation = (4 + 2 + 4 + 2 + 0 + 4 + 6 + 4) / 8

Mean absolute deviation = 26 / 8

Mean absolute deviation = 3.875

Therefore, the mean absolute deviation of the given set of data is 3.875.

Learn more about Mean absolute deviation:

https://brainly.com/question/447169
#SPJ4

Complete Question:

what is the mean absolute deviation of the following set of data 12 10 12 6 8 4 2 12.

The expected value (the mean of the distribution) for someone who buys a ticket can be calculated by adding up the total amount of money in the raffle and then dividing that by the number of tickets sold, which in this case in $6.68.

In this scenario, a ticket costs $5. The prize for winning the raffle is $1400 plus the cost of the ticket, which is $5.

The total value of the raffle is equal to the sum of the prize and the total amount of money raised from the tickets. The amount raised from the tickets is the number of tickets sold multiplied by the cost of the ticket.

Therefore, the total value of the raffle is equal to: $1400 + ($5 × 833) = $1400 + $4165 = $5565

The expected value of a ticket is the total value of the raffle divided by the number of tickets sold.

Therefore, the expected value of a ticket is:$5565 / 833 = $6.68

Therefore, the expected value (the mean of the distribution) for someone who buys a ticket is $6.68.

To know more about expected value refer here:

https://brainly.com/question/29574962#

#SPJ11

Answer:

3000

Step-by-step explanation:

you would multiply 500 times 60 because there are 60 minutes per hour

Changing the value of "a" in the quadratic function affects the vertical stretch or compression and the direction of the opening of the parabola, compared to the graph of the quadratic parent function.

What is function?

A relationship or expression involving one or more variables

The function g(x) = 6x^2 is a quadratic parent function, which means it is the simplest form of a quadratic function.

When we change the value of "a" in the general form of a quadratic function:

f(x) = ax^2 + bx + c

we change the shape of the graph of the function. Specifically, changing the value of "a" stretches or compresses the graph vertically, and changes the direction of the opening of the parabola.

If "a" is positive, the parabola opens upwards, and if "a" is negative, the parabola opens downwards. The larger the absolute value of "a", the more stretched or compressed the parabola becomes.

In the case of g(x) = 6x^2, "a" is positive and equal to 6, which means the graph is stretched vertically by a factor of 6 compared to the parent function. The parabola opens upwards and is narrower than the parent function.

If we were to change the value of "a" to a different positive value, for example "a" = 3, the graph would still open upwards but would be less stretched than g(x) = 6x^2. On the other hand, if we were to make "a" negative, for example "a" = -6, the graph would open downwards, and be a reflection of the graph of g(x) = 6x^2 about the x-axis.

In summary, changing the value of "a" in the quadratic function affects the vertical stretch or compression and the direction of the opening of the parabola, compared to the graph of the quadratic parent function.

To learn more about Function, click on the link:

https://brainly.com/question/4379163

#SPJ1

The sοlutiοn tο the system οf equatiοns is x = 17/5, which is apprοximately equal tο 3.4. Nοne οf the given answer chοices match this value exactly, sο there is nο sοlutiοn amοng the given chοices.

A linear equatiοn is a mathematical equatiοn that describes a straight line in a twο-dimensiοnal plane.

We can sοlve the system οf equatiοns by substituting the secοnd equatiοn intο the first equatiοn and then sοlving fοr x:

3x + 2y = 7 (equatiοn 1)

y = x - 5 (equatiοn 2)

Substituting equatiοn 2 intο equatiοn 1, we get:

3x + 2(x - 5) = 7

Simplifying the equatiοn, we get:

5x - 10 = 7

Adding 10 tο bοth sides, we get:

5x = 17

Dividing bοth sides by 5, we get:

x = 17/5

Therefοre, the sοlutiοn tο the system οf equatiοns is x = 17/5, which is apprοximately equal tο 3.4. Nοne οf the given answer chοices match this value exactly, sο there is nο sοlutiοn amοng the given chοices.

To learn more about linear equation from the given link:

https://brainly.com/question/11897796

#SPJ9

Answer:

7/4

Step-by-step explanation:

if you divide 7/4, you will get 1.75 which is greater than 1.43.

Answer:

Hi, your answer is 7/4

Step-by-step explanation:

Hope this helps :D

The value of angle CI is equal to 40 for the triangle.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that I is the incenter of the triangle AI = 3x+7, BI = 5x-11, and CI = 52-2x.

The value of BI will be calculated as,

AI = BI

3x + 7 = 5x - 11

2x = 18

x = 6

Now for the value of angle CI:

CI = 52 - 2x

CI = 52 - 2 x 6

CI = 52 - 12

CI = 40

Therefore, the value of angle CI is equal to 40 for the triangle.

To know more about geometry follow:

brainly.com/question/29006565

#SPJ1

The number of different arrangements of eight people seated at a round table, where two arrangements are considered the same if one can be obtained from the other by a rotation, is (8-1)!/2 = 7!/2 = 2,520.

To solve this problem, we use the formula for arranging objects in a circle, which is (n-1)!, where n is the number of objects. In this case, there are 8 people, so the formula gives us (8-1)! = 7! arrangements if we do not consider rotations.

However, we need to eliminate the arrangements that are the same due to rotations. Since there are 8 people, we can rotate the table 8 times and still get the same arrangement. Thus, we divide 7! by 8 to eliminate these duplicate arrangements, which gives us (7!)/8.

But we are not done yet, because there is an additional duplicate arrangement that is not eliminated by the division. Specifically, we can flip the table over and get another arrangement that is the same as the original. Since we do not want to count this duplicate, we divide (7!)/8 by 2, giving us the final answer of 2,520.

Learn more about combinatorics here: brainly.com/question/13261685

#SPJ4

The relative frequency of respondents for a sample of 313 people who identified as Democrat, Republican, or Independent can be calculated by dividing the number of respondents for each group by the total number of respondents (313).

For example, if 100 respondents identified as Democrat, the relative frequency of Democrats would be 100/313, or approximately 32%. If 125 respondents identified as Republican, the relative frequency of Republicans would be 125/313, or approximately 40%. If the remaining 88 respondents identified as Independent, the relative frequency of Independents would be 88/313, or approximately 28%.

Therefore, the relative frequency of respondents in the sample of 313 people would be 32% Democrat, 40% Republican, and 28% Independent.

The probability of rolling a sum of 7 or less on two dice is 11/36. This can be expressed as a decimal number rounded to four decimal places as 0.3056.

We need to look at the possibilities when rolling two dice. Each die has six sides, which means the total number of outcomes when rolling two dice is 36. There are 11 combinations of two dice that produce a sum of 7 or less: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (3,1), (3,2). So, 11/36 can be simplified to 1/4, or 0.3056.

To understand this in a more visual way, you can draw a table and use colored dots to indicate the possible combinations. This will show you that out of 36 total possibilities, 11 of them produce a sum of 7 or less.

In summary, the probability of rolling a sum of 7 or less on two dice is 11/36, which can be expressed as a decimal number rounded to four decimal places as 0.3056.

For more such questions on Probability.

https://brainly.com/question/27279592#

#SPJ11