PLS HELP!
Mrs. Duzwell bought a box of 150 pencils for $12.
a.) Let p equal the unit price per pencil. Write a multiplication equation that represents her total purchase.


b.) Solve for p. What is the unit price per pencil that Mrs. Duzwell paid?

A. The units of these decision variables are in quantities (pieces).

B. Maximize Profit = 20x1 + 85x2 + 35x3

The objective function calculates the total revenue by multiplying the unit selling price of each product with its corresponding quantity (decision variable). The goal is to maximize this total profit.

a) Decision Variables:

Let's define the decision variables as follows:

x1: The number of fabric necklaces produced.

x2: The number of bags produced.

x3: The number of scarves produced.

The units of these decision variables are in quantities (pieces).

b) Objective Function:

The objective function represents the goal or objective to be optimized. In this case, the objective is to maximize the total profit generated from the sale of necklaces, bags, and scarves. The objective function can be written as follows:

Maximize Profit = 20x1 + 85x2 + 35x3

The objective function calculates the total revenue by multiplying the unit selling price of each product with its corresponding quantity (decision variable). The goal is to maximize this total profit.

Learn more about profit from

brainly.com/question/29087694

#SPJ11

A(n) relationship occurs when a relationship exists between two variables or sets of data. A relationship occurs when there is a connection or association between two variables or sets of data, and analyzing and interpreting these relationships is an important aspect of statistical analysis.

The presence of a relationship suggests that changes in one variable can be explained or predicted by changes in the other variable. Understanding and quantifying these relationships is crucial for making informed decisions and drawing meaningful conclusions from data.

Statistical methods, such as correlation and regression analysis, are often employed to analyze and measure the strength of these relationships. These methods provide a systematic and stepwise approach to understanding the nature and extent of the relationship between variables.

By identifying and interpreting relationships, researchers and analysts can gain valuable insights into the underlying patterns and mechanisms driving the data.

To know more about Statistical methods visit:

https://brainly.com/question/31641853

#SPJ11

Answer:

y=1/2x-2

you write it in y=mx+b form

For any continuous random variable, the probability that the random variable takes a value less than zero D. is zero.

A variable at random If the potential values of X are either a single interval on the number line or a union of disjoint intervals, then X is continuous.

A continuous random variable has an endless number of possible values. Measurements are typically made with continuous random variables. Height, weight, the amount of sugar in an orange, and the time required to run a mile are all examples.

A continuous probability distribution is one in which the random variable X can have any value is continuous. Because X can take on an unlimited number of values, the likelihood of X taking on any one specific value is zero.

Learn more about variables on:

https://brainly.com/question/17217746

#SPJ1

It step 3 I got The same question on khan academy

The three (3) possible combinations are

Alex should 20 hats and 20 scarves

Let the number of scarves be x and y be the number of hats

He can make at most 20 hats and 30 scarves, but no more than 40 items altogether

x ≤ 20

y ≤ 30

x + y ≤ 40 (in time of market)

x + y ≥ 25

The possible combinations are

He should choose the third option x = 20, y = 20 this allows him to take more products to the show

Learn more about inequality graph at:

https://brainly.com/question/11234618

#SPJ1

The probability that sample is greater than 418 will be is 6.533.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

Here we have

\(\mu=397.64,n=40,\sigma=20\)

According to central limit theorem, the sampling distribution of mean will be normal with mean

\(\mu_{\bar{x}}=\mu=397.64\)

and standard deviation

\(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}=\frac{20}{\sqrt{40}}=3.1623\)

The z-score for\(\bar{x}=418\) is

\(z=\frac{\bar{x}-\mu_{\bar{x}}}{\sigma_{\bar{x}}}=\frac{418-397.34}{3.1623}=6.533\)

Therefore, the probability that sample is greater than 418 will be

\(P(\bar{x} > 418)=P(z > 6.533)\)

Learn more about probability here:

https://brainly.com/question/29557037

#SPJ4

Incomplete Question

Carbon dioxide (CO2) is one of the primary gases contributing to the greenhouse effect and global warming. The mean amount of CO2 in the atmosphere for March 2013 was 397.34 parts per million (ppm). Suppose 40 atmospheric samples are selected at random in May 2013 and the standard deviation for CO2 in the atmosphere is σ = 20 ppm. (1 pt.)

c) Suppose the sample mean CO2 level is 400. Is there any evidence to suggest that the population mean CO2 level has increased?

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

To learn more about matrix visit:

brainly.com/question/29239316

#SPJ11

The values of x and y as a result of the code are 8 and 8

The code is given as:

int x = 25, y = 8;

x = y;

At the first line, we have

x= 25 and y = 8

On the second line, where we have

x = y

This means that

x = 8 and y = 8

Hence, the values of x and y as a result of the code are 8 and 8

Read more about code segments at;

https://brainly.com/question/26683418

#SPJ4

Answer:

11x+25

Step-by-step explanation:

1. Distribute

4x+4+7x+21

2. Add the numbers

4x+25+7x

3.Combine like terms

11x+25

The angular velocity of a person standing on the equator is ω = 1.026 × 10⁻⁴ rad/s

Angular velocity is the number of revolution per second of an object.

Since a planet rotates through one complete revolution every 17 hours and since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 17 hours. We thus require its angular velocity.

The angular velocity is given by ω = 2π/T where T = period of revolution

Since the planet rotates through one complete revolution every 17 hours, its period, T = 17 hours = 17 h × 60 min/h × 60 s/min = 61200 s

So, substituting the period into the equation for the angular velocity, we have

ω = 2π/T

ω = 2π/61200 s

ω = π/30600 s

ω = 0.0001026 rad/s

ω = 1.026 × 10⁻⁴ rad/s

So, the angular velocity is ω = 1.026 × 10⁻⁴ rad/s

Learn more about angular velocity here:

https://brainly.com/question/28155635

#SPJ1

Answer:

54%

Step-by-step explanation:

The simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

The expression cos^2x sin^4x can be simplified by using the trigonometric identity that states sin^2x + cos^2x = 1.

We can rewrite cos^2x sin^4x as cos^2x (sin^2x)^2. Then, using the trigonometric identity sin^2x + cos^2x = 1, we can substitute (1 - cos^2x) for sin^2x.

This gives us cos^2x (1 - cos^2x)^2, which can be expanded using the binomial theorem to give cos^2x (1 - 2cos^2x + cos^4x).

Finally, we can simplify this expression further by distributing the cos^2x term and collecting like terms to get cos^2x - 2cos^4x + cos^6x.

Therefore, the simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

Learn more about expression here

https://brainly.com/question/1859113

#SPJ11

Step-by-step explanation:

a trapezoid.

the 2 sides on the left and the right are equal (congruent), and so are the diagonals.

but these diagonals are usually not perpendicular (perpendicular = intersecting each other at 90°).

The number 3076 written in standard form as 3000+0+70+6.

The standard form means the process of writing very large expanded form of a number into small form or small number.

The given number is 3076

Now, in standard form

3×1000+0×100+7×10+6×1

= 3000+0+70+6

Therefore, the standard form is 3000+0+70+6.

To learn more about the standard form of a number visit:

https://brainly.com/question/13139379.

#SPJ1

Transcription - Translation - Initiation
True. Here is the ordered sequence of steps from transcription through the initiation of translation:

1. Transcription: This is the process in which the DNA sequence is copied into RNA (messenger RNA or mRNA) by the enzyme RNA polymerase.

2. RNA Processing: The newly formed mRNA undergoes modifications such as splicing to remove introns, addition of a 5' cap, and addition of a 3' poly-A tail.

3. Initiation of Translation: The processed mRNA is transported to the ribosome, where the process of translation begins. The small ribosomal subunit, along with the initiation factors, binds to the mRNA. The start codon (AUG) is recognized by the initiator tRNA, and the large ribosomal subunit binds to form the complete translation initiation complex.

Once the initiation of translation is complete, the process of elongation and termination of translation follows, ultimately resulting in the synthesis of a protein.

Learn more about transcription here: brainly.in/question/1995937

#SPJ11

Step-by-step explanation:

we cannot see any graphic or so.

no clue, what these sides (?) are, and how they are related to GI and to each other.

so, it is not possible to give you an answer.

The equation of the perpendicular bisector of the segment with endpoints G (-2,0) and H(8,-6) would be, y = -(3/4)x + (9/2)

What is Perpendicular bisector of the segment?

A perpendicular bisector is a line that cuts another line segment through the junction point at a straight angle. As a result, a perpendicular bisector always cuts a line segment through its midway. The term bisect means to divide equally or uniformly.

The midpoint of the segment GH is the point (3,-3).

The slope of the line perpendicular to GH is the negative reciprocal of the slope of GH, which is -6/8 = -3/4

The slope-intercept form of the equation of the line is y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of the equation of the line is y - y1 = m(x - x1)

So we have

y - (-3) = (-3/4)(x - 3)

y + 3 = (-3/4)x + (9/2)

We can find the equation of the perpendicular bisector of the segment G(x1, y1) and H(x2, y2) by using the midpoint of the segment, (x1 + x2)/2, and (y1 + y2)/2, and the slope of the segment, (y2 - y1)/(x2 - x1)

so our final equation is y = -(3/4)x + (9/2)

Therefore, equation of the perpendicular bisector of the segment with endpoints G (-2,0) and H(8,-6) would be, y = -(3/4)x + (9/2)

To know more about Perpendicular bisector of the segment visit,

https://brainly.com/question/1761937

#SPJ1

Answer:

54w-9

Step-by-step explanation:

the box to the right is -1 because you are multiplying 6w-1 by 9 (the box next to the blank one on the bottom). the other blank box below the 6w is going to be 54w since you multiply 6w and 9 to get that. therefore, 9(6w-1) is 54w-9.

Answer:

Total number of students = 360

Total number of girls = 120

Total number of boys = x / ?

120/240= 1/2

50%

Step-by-step explanation: To find out the percent of the boys you first

subtract the whole amount of students which is 360 students in total to the number of girls (120) resulting 240. 240 in ratio is 1/2. 1/2 is 50%.

(Not sure, if this helps or not. I try my best to answer questions to make the asker to understand! Sorry, I tried. :c)

Answer:

16x² + 72x + 81

Step-by-step explanation:

The area of a square is \(s^2\), where s = side. In this case, we're given the side length as 4x + 9.

Therefore, the answer is 16x² + 72x + 81.

The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ1

Answer:

The f(x) domain is the set of all values for the function and the function spectrum is the set of all values for which f is defined.

Step-by-step explanation:

Answer:

Domain = all real numbers

Range = y ≥ -4

Step-by-step explanation:

Domain is the x-values, and for parabolas it is almost always all real numbers.

Range is the y-values, and the lowest it gets is -4.

Answer:

First, we add 3.6 from Monday to 4.705 from Tuesday. To do this, we align the decimal point, and add like how we always do, then bring down the decimal point. This will give us the number 8.305. Then, we repeat that process except with the total distance from Monday and Tuesday (8.305) and the 5.92 from Wednesday, which will give us 10.625. Therefore, the total distance from the three days is 10.625 km.

Step-by-step explanation:

The question is asking to explain how to add them together. So, just explain how to add the decimals together, and explain the process, and the total.

Hope this helps!

Answer:

15 members

Step-by-step explanation:

Answer:

hope it helps you

Step-by-step explanation:

The Dimention are 8dm and 10dm..

dm2. Find its dimensions. (Relate the measures to the sum and product of a

quadratic equation.)

The perimeter of a rectangle is twice the sum of its length and width while

its area is the product of its length and width. Such that,

Perimeter = 2(L + w) and Area = L.w

Answer:

− (8b − x) (5b + x)

Step-by-step explanation:

The interest rate is approximately 0.0403, or 4.03% (rounded to two decimal places).

To calculate the interest rate on the investment, we can use the formula for compound interest: A = P * (1 + r)^n

Where:

A is the future value of the investment ($1,680)

P is the initial principal ($1,500)

r is the interest rate

n is the number of compounding periods (3 years)

Rearranging the formula, we can solve for r:

r = (A/P)^(1/n) - 1

Plugging in the values:

r = (1680/1500)^(1/3) - 1

= 1.12^(1/3) - 1

≈ 0.0403

The interest rate is approximately 0.0403, or 4.03% (rounded to two decimal places).

Therefore, the correct answer is:

C) 4.0 percent

Learn more about  interest rate here

https://brainly.com/question/28236069

#SPJ11

The value of x is 4

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

The area of a rectangle is expressed as;

A = l× w

where l is the length and w is the width.

Area of the whole rectangle = 14 × 12

= 168 in²

The sum of the three areas will give the area of the rectangle.

= 168 = 18x + 7x + 68

168 = 25x + 68

25x = 168-68

25x = 100

divide both sides by 25

x = 100/25

x = 4

Therefore the value of x is 4

learn more about area of rectangle from

https://brainly.com/question/2607596

#SPJ1