A salesclerk is creating a display of 12 polo shirts and 48 team shirts. Only one type of shirt can be in each row. What is the maximum number of shirts in each row so that all the rows are equal in length? 12 4 3 2

The equation to represent Syreeta's situation can be written as 14x + 23 = 65, where x represents the number of CDs she wants to buy. This equation shows that the total cost of CDs and the DVD must equal $65.

To represent Syreeta's situation, we need to use an equation that relates the cost of the CDs and DVD to her total budget. We know that each CD costs $14, so the total cost of x CDs can be written as 14x. We also know that she wants to buy a DVD that costs $23. Therefore, the total cost of the CDs and the DVD can be written as 14x + 23. This expression must equal her budget of $65, so we can write the equation as 14x + 23 = 65.

To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 23 from both sides to get 14x = 42. Then, we divide both sides by 14 to find that x = 3. This means that Syreeta can buy 3 CDs and 1 DVD with her $65 budget.

In conclusion, the equation to represent Syreeta's situation is 14x + 23 = 65. By solving for x, we find that she can buy 3 CDs and 1 DVD with her $65 budget. This equation can be used to solve similar problems where the total cost of multiple items needs to be calculated.

To know more about equation visit:

https://brainly.com/question/29514785

#SPJ11

Answer:

5/2

Step-by-step explanation:

The constant of proportionality in the equality is 5/2. Later on, you will learn that the constant of proportionality is slope, or m.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The solution region is above the line with positive slope, and below the line with negative slope. It will be in the left quadrant of the X made by the crossing lines. The line with positive slope is steeper.

Answer:

x = -2 - i,  -2 + i.

Step-by-step explanation:

3x2 = -12x - 15

3x^2 + 12x + 15 = 0

Divide through by 3:

x^2 + 4x + 5 = 0

x^2 + 4x = -5

Completing the square:

x^2 + 4x + 4 = -5 + 4

(x + 2)^2 = -1

x + 2 =  √-1 = i

x = -2 - i, -2 + i.

Answer:

I agree with Emma

Step-by-step explanation:

above

Answer:

4         12

---   :     ---

15        15

I think this might be the answer, but fair warning there is a high chance I am wrong.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

9/16 + 1/16 * (2/3)^(-1)

Step 02:

we must apply the algebraic rules to find the solution

The answer is:

21 / 32

The median of the data set is 29.5.

Median of a set of numbers is the number situated in the middle of the set when the data is arranged in a particular order.

In other words, we can say that median is the element which separates a given data into a higher half and a lower half.

The data set given here is,

26  30  24  32  32  31  27 and 29

First we have to arrange the numbers in either ascending or descending order.

Let's do it ascending here.

24  26  27  29  30  31  32 and 32

We have 8 elements in the set here.

We have two middle elements here, 4th and 5th elements, which are 29 and 30.

Median = (29 + 30) / 2 = 29.5

Hence the median of the data set 26  30  24  32  32  31  27 and 29 is 29.5.

Learn more about Median here :

https://brainly.com/question/300591

#SPJ4

Answer:  The product of 3. 5 and a number is greater than or equal to 7.

Step-by-step explanation:

The probability mass function for this problem is f(x) = C(20, x) * (0.65)^x * (0.35)^(20-x). The parameters for this binomial distribution are n=20 (number of trials) and p=0.65 (probability of success).

Based on the given information, x follows a binomial distribution since each passenger either belongs to the frequent rider club or not, with a fixed probability of 0.65 for success (being a member of the club) and 0.35 for failure (not being a member). The probability mass function (f(x)) for this distribution can be written as f(x) = (20 choose x) * 0.65^x * 0.35^(20-x), where (20 choose x) represents the number of ways x passengers can be chosen from a total of 20 passengers. The parameters for this distribution are n = 20 (the total number of passengers) and p = 0.65 (the probability of success).
Hi! Based on your question, the variable X follows a binomial distribution since it represents the number of successes (frequent rider club members) out of a fixed number of independent Bernoulli trials (20 passengers). The probability mass function (f(x)) for a binomial distribution is given by:
f(x) = C(n, x) * p^x * (1-p)^(n-x)
where:
- C(n, x) represents the number of combinations of n items taken x at a time (n choose x)
- n is the number of trials (20 passengers in this case)
- x is the number of successes (number of frequent rider club members)
- p is the probability of success (0.65 for a passenger being part of the frequent rider club)
- (1-p) is the probability of failure (0.35 for a passenger not being part of the frequent rider club)

Learn more about probability here

https://brainly.com/question/25839839

#SPJ11

The product of 56.2 and 9.2057 to the appropriate number of significant digits is 517.00.

The significant digits in a number are the digits that contribute to its precision. When multiplying numbers, the result should be rounded to the same number of significant digits as the factor with the least number of significant digits.

In this case, 56.2 has three significant digits, and 9.2057 has five significant digits. The factor with the least number of significant digits is 56.2. Therefore, the product should be rounded to three significant digits.

Multiplying 56.2 by 9.2057 gives 517.38134. Rounding this result to three significant digits gives us 517.00. The trailing zeros after the decimal point are significant in this case as they indicate the precision of the result. Hence, the correct answer is 517.00.

To learn more about significant digits refer:

https://brainly.com/question/28052368

#SPJ11

Equation: y * 5 = 85

In this equation, 'y' represents the number of learners in class 9T, and '5' represents the number of pencils each learner receives. The equation states that the product of the number of learners (y) and the number of pencils each learner receives (5) is equal to the total number of pencils (85) that Mrs. Leclerc shares among the learners.

This equation can be used to solve for the value of 'y' by dividing both sides of the equation by 5. By doing so, we can determine the number of learners in class 9T based on the given information about the number of pencils shared.

For example, if we divide 85 by 5, the result is 17. Therefore, there are 17 learners in class 9T.

In summary, the equation y * 5 = 85 represents the situation where Mrs. Leclerc shares 85 pencils between the learners in class 9T, with each learner receiving 5 pencils. By solving the equation, we can find the number of learners in the class, which in this case is 17.

for such more questions on  Equation

https://brainly.com/question/17145398

#SPJ8

We have to solve this system of equations by elimination.

We can substract the second equation directly from the first equation in order to cancel x.

Then, we can solve for y:

With the value of y, we can solve for x:

Answer: x=-5 and y=1

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

To learn more about tangent plane click here : brainly.com/question/33052311

#SPJ11

Answer:

see below

Step-by-step explanation:

I do not know what the 'given expression' is, bu the three UN-highlighted expressions in each question 1 and 2  are equivalent

  Only the highlighted one is not equiv to the other three

To find the value of K, we can use one of the given pairs of (x, y) values.

Given x = -2 and y = 3, we can substitute these values into the equation:

(x, y) = (x + 2y) / K

(-2, 3) = (-2 + 2(3)) / K

(-2, 3) = (-2 + 6) / K

(-2, 3) = 4 / K

To find K, we can rearrange the equation:

4 = (-2, 3) * K

K = 4 / (-2, 3)

Therefore, the value of K is -2/3.

b. The marginal function of x:

To find the marginal function of x, we need to sum the joint probabilities over all possible y values for each x value.

For x = -2:

f(-2) = f(-2, 3) + f(-2, 4)

For x = 1:

f(1) = f(1, 3) + f(1, 4)

c. The marginal function of y:

To find the marginal function of y, we need to sum the joint probabilities over all possible x values for each y value.

For y = 3:

f(3) = f(-2, 3) + f(1, 3)

For y = 4:

f(4) = f(-2, 4) + f(1, 4)

d. To find f(x|y = 4), we can use the joint probability distribution function:

f(x|y = 4) = f(x, y) / f(y = 4)

We can substitute the values into the equation and calculate the probabilities based on the given joint probability distribution function.

Answer:

21

Step-by-step explanation:

We decompose prime factors of 48, 72, and 1008

48=2*2*2*2*3

72=2*2*2*3*3

1008=2*2*2*2*3*3*7

Let's compare 48, 72 with GOD(3) and LCM(1008), we can find that there must be at least 2 prime factors in the third number that is 3 and 7.

And let's find out the LCM of 48 and 72. Quite obvious the answer is 144.

Since the LCM should be the consequence of 144 multiplied by another prime factor.

Then let's try 144*7. Amazingly 144*7=1008. DONE!

The correct answer is: None of these answers is correct.The random variable representing the time lapsed during the run in this experiment is a continuous random variable.

I apologize for the previous incorrect answer. The random variable representing the time lapsed during the run in the given experiment is a continuous random variable. A continuous random variable can take on any value within a specified range or interval. In this case, the time elapsed during the run can theoretically be any non-negative real number, allowing for an infinite number of possible outcomes. It is not restricted to specific discrete values or intervals. Examples of continuous random variables include time, length, weight, and temperature.

Continuous random variables are characterized by their probability density function (PDF), which describes the likelihood of observing different values. In contrast, a discrete random variable would have a finite or countable set of possible values, such as the number of heads obtained in a series of coin flips.

To learn more about number, click here:

brainly.com/question/29130992

#SPJ11

Answer:

Incomplete question

Step-by-step explanation:

Recheck it Thx

The amount of money left after riding n rides is:

f(n) = 50 - 1.50n

We can model this with a linear equation. We know that Tom starts with a total of 50 dollars, and each game in the state fair has a ride cost of $1.50

So, if he goes to n of these rides, the amount of money that he will have at the end is equal to the initial amount minus n times the cost of a game, we can write this as the linear equation:

f(n) = 50 - 1.50n

Where the units of the function f(n) are in dollars. That is the equation we wante to get.

50 is the y-intercept, the initial amunt.

-1.50 is the slope, the cost per game.

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ4

Answer:

Initial costs 750 and loses .28 of value each year, so still worth 1-.28=.72 of value at start of next year. 750*(.72)^n is the value after n years since for n=0, new, it is 750*.72^0=750*1=750, and after 1 year it is worth 750*.72^1=750*.72 means it lost 28% value after one year. If you with to express it as an exponential exp(..) you need to convert the .72^n into exp(log(.72)*n)=exp(-.3285*n) so you get

750*exp(-.3285*n) as the value after n years.

Answer:

388

Step-by-step explanation:

first year it loses 210

750×.28=210

second year phone value is 540

540×.28=151.2

third year phone value is 388

Answer:

The last one.Because the experimental probability is 11 ÷ 50, which is 22%, and the theoretical probability is 1 ÷ 8, which is 12.5%

Answer:

2

Step-by-step explanation:

6 is not a factor only terms count as factors

The number 6 is the only number in the expression. Then the correct option is 2.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The expression is given below.

⇒ (b + 6)

The number 6 is a factor only terms count as factors because the variable b is the multiple of 6.

The number 6 is the only number in the expression. Then the correct option is 2.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

To determine if the three numbers can be the measures of the sides of a triangle:

According to the Triangle Inequality theorem to construct a triangle, the sum of the two sides of the triangle is greater than the third side i.e x + y>z

1) 9, 7, 13

So, 9+7 > 13

16 > 13

7+ 13 > 9

20 > 9

9+13 > 7

22 > 7

Yes, they can be the measures of the sides of a triangle.

2) 26, 12, 11

So, 26+12 > 11

38 > 11

12+ 11 > 26

23 < 26

No, they cannot be the measures of the sides of a triangle.

3) 11, 2,9

So, 11+2 > 9

13 > 9

2+ 9 > 11

11 = 11

No, they cannot be the measures of the sides of a triangle.

4) 6, 11, 12

So, 11+6 > 12

17 > 9

11+12 > 6 and 12+6 > 11

Yes, they can be the measures of the sides of a triangle.

To determine the range of the third side we find the maximum value and minimum value using two sides of a triangle.

Let's assume that x is the third side of the triangle.

5) 12,9

So, the maximum value of the third side is 12+9 = 21 and the minimum value is 12-9 = 3.

Hence, the range is 3<x<21.

6) 8, 11

The maximum value of the third side is 8+11 = 19 and the minimum value is 11-8 = 7.

Hence, the range is 3<x<19.

7) 11,6

The maximum value of the third side is 11+6 = 17 and the minimum value is 11-6 = 5.

Hence, the range is 5<x<17.

8) 12,8​

The maximum value of the third side is 12+8 = 20 and the minimum value is 12-8 = 4.

Hence, the range is 4<x<20.

To learn more about triangles visit:

https://brainly.com/question/16424086

#SPJ13

Answer:

Answer in picture

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

Blue square = 5x5 = 25 square units

Green square = 12x12 = 144 square units

Red square = 13x13 = 169 square units

Total areas blue and green squares = 25+144 = 169 square units

Step-by-step explanation:

Recall that the slopes of two perpendicular lines, satisfy that:

Therefore, the slope of the line perpendicular to -3x-2 must-have slope

Now, to determine the equation of the line, we will use the following formula for the equation of a line with slope m, that passes through the point (x₁,y₁):

Substituting (x₁,y₁)=(-7,-1/3), and m=1/3 in the above formula, we get:

Simplifying the above result, we get:

Recall that the slope-intercept form of the equation of a line is:

where b is the y-intercept and m is the slope.

Taking the equation of the line to its slope-intercept form we get:

Answer:

1.29p + 2.25n > 10

is the required inequality

Answer:

x=5

Step-by-step explanation:

An isosceles trapezoid has two pairs of congruent base angles. This means angle F has to equal angle E. So we have 2x^2+21=3x^2-4. Move the variables to one side and we get 25=x^2. Square root both sides and we get two values x=5 and x=-5. Since angles cannot necessarily be negative, we only want the positive value. In this case x=5.  

Conceptually, the arithmetic and geometric average returns are different measures used to describe the performance of an investment or an asset over a specific period.

The arithmetic average return, also known as the mean return, is calculated by adding up all the individual returns and dividing by the number of periods. It represents the average return for each period independently.

On the other hand, the geometric average return, also called the compound annual growth rate (CAGR), considers the compounding effect of returns over time. It is calculated by taking the nth root of the total cumulative return, where n is the number of periods.

When to use each measure depends on the context and purpose of the analysis:

1. Arithmetic Average Return: This measure is typically used when you want to evaluate the average return for each individual period in isolation. It is useful for analyzing short-term returns, such as monthly or quarterly returns. The arithmetic average return provides a simple and straightforward way to assess the periodic performance of an investment.

2. Geometric Average Return: This measure is more suitable when you want to understand the compounded growth of an investment over an extended period. It is commonly used for long-term investment horizons, such as annual returns over multiple years.

The geometric average return provides a more accurate representation of the overall growth rate, accounting for the compounding effect and reinvestment of returns.

In summary, the arithmetic average return is suitable for analyzing short-term performance, while the geometric average return is preferred  evaluating long-term growth and the compounding effect of returns.

learn more about Average Return here:

https://brainly.com/question/29662426

#SPJ11

Answer:

Choose f(x) = 11x + 1

Step-by-step explanation:

Note that we will simply plug the value of 2 into the equation for February:

f(2) = 11(2) + 1 = 23

And plug the value of 6 into the equation for June:

f(6) = 11(6) + 1 = 67

Note how the points on the graph seem to match up with these values.  If we evaluate following the same style for each:

f(3) = 11(3) + 1 = 34

f(4) = 11(4) + 1 = 45

f(5) = 11(5) + 1 = 56

Note, these values seems to be very close in approximation to the graph points for each month.

The other three functions return values that are just to far away from what are represented in the graph.

Cheers.