It costs 3.24 for a pack of 12 pens. Find the unit price in dollars per pen. Round your answer to the nearest cent

Answers

Answer 1
The answer is $0.27 or 27cents

Related Questions

There are 100 sophomores at the school. 85% of them are good students. What would be the percent of good students at school if (rounding the answer to the nearest whole number): b ten "A" students were to join this school

Answers

Answer:

86%

Step-by-step explanation:

77% students are good students after 10 students join the school.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The number of sophomores in the school = 100

Also, the percentage of good students = 85%

So, number of good students = 100x85/100 = 85

If 10 students join the group,

Then total number of students = 100+10 =110

Percentage of good students = 85 x 100/110

= 77.181

= 77%(round to whole number)

The percentage of good students is 77% in school.

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Drag one model next to each situation. The correct model for each group represents that situation

Answers

Final answer:

The question involves creating and analyzing scientific models, collaborating in groups to build and refine these models based on experimental evidence, and engaging in critical thinking about their accuracy and limitations.

Explanation:

The question involves students creating and analyzing models that represent certain scientific situations. Creating a model is a fundamental part of scientific inquiry as it helps in visualizing and understanding complex concepts. Students are tasked with exchanging and labeling pictures or drawings of their models, which aids in the development of the communication of scientific ideas. They then apply their models to specific situations, test these models, and note the outcomes to assess the accuracy and limitations of the models they have built. This process involves critical thinking, collaboration, and application of scientific knowledge.

Moreover, students are required to modify their models based on experimental evidence and discussions about the limitations of their models. When building models of atoms, for example, students must consider basic ratios, an understanding of atomic structure, and the unique characteristics of the element they are representing.

The complete question is:Drag one model next to each situation. The correct model for each group represents that situation

Jewish people light a menorah on each of the 8 nights. On the first night, 1 candle plus the shamash candle is lit. On the second night, 2 candle plus the shamash candle is lit, and so forth. Over the course of Chanukah, how many candles are lit in all??

Answers

Answer:


Step-by-step explanation:

General Remark

Let's start with the long way.

Each day 1 traditional candle (shamash) is lit along with a number of candles representing that day of Chanukah. I'm taking it that a new Shamash candle must be used each day.

Total Candles = 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 44

Givens

a = 2L = 9n = 8

Formula

Sum = (a + L)*n/2

Solution

Sum = (2 + 9)*8/2Sum = (11)*4Sum = 44

If this is wrong can you tell me what assumption I'm making that  is incorrect.


Answer: Your answer is Hanukkah

A wild horse runs at a rate of 8 miles per hour for 6 hours. Let yy be the distance, in miles, the horse travels for a given amount of time, xx, in hours. This situation can be modeled by a function. Which of these describe the domain of the function? Group of answer choices 0\le x\le60≤x≤6 0\le y\le60≤y≤6 0\le x\le480≤x≤48 0\le y\le480≤y≤48

Answers

Answer:

[tex]0\leq x\leq 6[/tex]

[tex]0\leq y\leq 48[/tex]

Step-by-step explanation:

we are given

speed =8 mph

time = 6 hours

so, we have

[tex]x=6[/tex]

now, we can find distance

distance = (speed)*(time)

[tex]distance=8\times 6 miles[/tex]

[tex]distance=48 miles[/tex]

so, we have

[tex]y=48 miles[/tex]

so, our range for x and y can be

[tex]0\leq x\leq 6[/tex]

[tex]0\leq y\leq 48[/tex]


The taxpayer had a qualifying child who is not disabled and who turned 13 on may 31, 2017. They paid a child care provider to care for the child for the entire year while they worked. How many months of child care expenses can they deduct on their tax return?

Answers

Answer:

5 months

Step-by-step explanation:

The taxpayer can only deduct the first five months of the qualifying child. May is the fifth month. On June 1st, the qualifying child is going to be 14 years old. Therefore he cannot be included in work-related expenses as specified in the Publication 503 - Main Content from the IRS. Please see the Working-Related Expenses, Indent (b) which is as follows:

(b) The parent of your qualifying person if your qualifying person is your child and under age 13.

ughhhh please help me i don’t wanna fail again

Answers

Answer:


Step-by-step explanation:

Start with (1,2) . One of the pairs has to begin with a 1. Look around to see which set of points has a 1 for the x value.

B and C do. So all you have gotten rid of is A and D.  D looks like it might work, but it really does not. It has - 1 as it's starting point. The point must start with 1.

The next step is to find the distance between the 2 given points. The y value for the two points already on the graph is the same so they do not contribute anything to the distance. -3 and 1 are 4 units apart.

1 and ? must also be 4 units apart. Only D does. 1 and -3 are the x values 2 and 6 are the y values. The answer is B

A circle has an arc of length 48(3.14) that is intercepted by a central angle of 120°

Answers

this really isn't a answer but can send a pic and most certainly help u out

A store had 88 diet sodas.The ratio of diet sodas to regular sodas was 8:4.How many regular sodas were there?

Answers

Answer:

44

Step-by-step explanation:

diet : regular = 8:4

=> 88:44

sin(x)/1-cos(x) - 1-cos(x)/sin(x) = 2cot(x)

Answers

let's recall the pythagorean identity that sin²(θ) + cos²(θ) = 1.


[tex]\bf \cfrac{sin(x)}{1-cos(x)}-\cfrac{1-cos(x)}{sin(x)}=2cot(x) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{sin(x)}{1-cos(x)}-\cfrac{1-cos(x)}{sin(x)}\implies \cfrac{[sin(x)]^2-[1-cos(x)]^2}{sin[1-cos(x)]} \\\\\\ \cfrac{[sin^2(x)]-[1^2-2cos(x)+cos^2(x)]}{sin[1-cos(x)]}\implies \cfrac{sin^2(x)-1+2cos(x)-cos^2(x)}{sin[1-cos(x)]} \\\\\\ \cfrac{sin^2(x)-[\underline{sin^2(x)+cos^2(x)}]+2cos(x)-cos^2(x)}{sin[1-cos(x)]} \\\\\\ \cfrac{sin^2(x)-sin^2(x)-cos^2(x)+2cos(x)-cos^2(x)}{sin[1-cos(x)]}[/tex]


[tex]\bf \cfrac{-2cos^2(x)+2cos(x)}{sin[1-cos(x)]}\implies \cfrac{2cos(x)[-cos(x)+1]}{sin[1-cos(x)]}\implies \cfrac{2cos(x)[\underline{1-cos(x)}]}{sin[\underline{1-cos(x)}]} \\\\\\ \cfrac{2cos(x)}{sin(x)}\implies 2\cdot \cfrac{cos(x)}{sin(x)}\implies 2cot(x)[/tex]

Who does this describe? The country was in chaos, but this scholar helped bring order to society through his teachings about family and government relationships, and the Golden Rule.

A. Siddhartha Gautama
B. Ramayana
C. Asoka
D. Confucius

Answers

i think the answer is d) Confucius

Answer:

The correct answer is D. This statement describes Confucius.

Step-by-step explanation:

Confucius was a Chinese philosopher, whose teachings had a great influence in China, Korea, Japan and Vietnam.  According to tradition, he was born in the city of Qufu, in the Kingdom of Lu, now part of Shandong Province. He is said to have become Minister of Justice in Lu's kingdom. After being forced to resign, he toured the small kingdoms of northeast and central China, explaining his ideas about governance.  

He emphasizes his philosophy of morality, right social relationships, justice and honesty, both in personal life and in government. During the Han Dynasty period in China, his teachings became the official philosophy of the state. His teachings were introduced to Europe by the Jesuit Matteo Ricci, the first to Latinize his name as "Confucius."

Which system of equations correspond to this matrix equation?

Question 9 options:
5x + 2x = -7
3y - 4y = -6

5x + 2y = -7
3x + 4y = -6

5x + 2y = -7
3x - 4y = -6

5x - 2y = -7
3x - 4y = -6

Answers

Answer:

5x + 2x = -7  

3y - 4y = -6

Step-by-step explanation:

Given the matrix, we can multiply across the constant matrix and down the  variable matrix

5x +2y = -7

3x -4y = -6

Answer: (C)

Step-by-step explanation:

When multiplying matrices:

Row 1 x Column 1 = the value in Row 1 Column 1

[tex]\left[\begin{array}{cc}5&2\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]= -7[/tex]⇒ 5(x) + 2(y) = -7⇒ 5x + 2y = -7

Row 2 x Column 1 = the value in Row 2 Column 1

[tex]\left[\begin{array}{cc}3&-4\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]= -6[/tex]⇒ 3(x) + -4(y) = -6⇒ 3x - 4y = -6

Combine the two equations to get:

[tex]\left \{ {{5x + 2y = -7} \atop {3x - 4y = -6}} \right[/tex]

Verify the identity.

cotangent of x divided by quantity one plus cosecant of x equals quantity cosecant of x minus one divided by cotangent of x

Answers

Identity to verify:

[tex]\dfrac{\cot x}{1+\csc x}=\dfrac{\csc x-1}{\cot x}[/tex]

Recall that

[tex]\cos^2x+\sin^2x=1[/tex]

Divide both sides by [tex]\sin^2x[/tex] and we get

[tex]\cot^2x+1=\csc^2x[/tex]

or

[tex]\cot^2x=\csc^2x-1=(\csc x-1)(\csc x+1)[/tex]

So if we multiply the numerator and denominator of

[tex]\dfrac{\cot x}{1+\csc x}[/tex]

by [tex]\csc x-1[/tex], we get

[tex]\dfrac{\cot x(\csc x-1)}{(1+\csc x)(\csc x-1)}=\dfrac{\cot x(\csc x-1)}{\csc^2x-1}=\dfrac{\cot x(\csc x-1)}{\cot^2x}[/tex]

Then as long as [tex]\cot x\neq0[/tex], we can cancel terms to end up with

[tex]\dfrac{\csc x-1}{\cot x}[/tex]

and establish the identity.

At 55 mph it will take you approximately _____ feet to stop the car. A. 5 feet B. 100 feet C. 228 feet

Answers

Answer:

The correct answer is option C, 228 feet

Step-by-step explanation:

As per Newton’s third law of motion:

V2 – U2 = 2 x a x S

Where V = final velocity

U = Initial Vlocity

a = acceleration (-ve)

S= distance travelled

V= 0 mph

U= 55 mph = 80.6667 ft /sec

0 – (80.6667 ft /sec)2 = 2 x (-g/2) x S

S = (80.6667 ft /sec)2 /(32.2 feet per second per second x0.5)

S = 202.1 feet

So the most nearest option is option C

What is the smallest possible integer value of x in order for the product of 720 and x to result in a perfect square?

Answers

Answer:

x = 5

Step-by-step explanation:

720 = 2^4 × 3^2 × 5

√720 = 2^2 × 3 × √5

√(720×5) = 2^2 × 3 × 5

Factor x^3-4x^2-3x+18=0 given that 3 is a zero.

A) (x+2)(x-3)^2=0
B) (x-2)(x-3)^2=0
C) (x-2)(x-3)(x+3)=0
D) (x+2)(x-\sqrt{3})(x+\sqrt{3})=0

Answers

Answer:

B: (x + 2)(x - 3)^2

Step-by-step explanation:

This is only going to have 3 roots. One of them is (x - 3)

D does not look right. So let's solve it using synthetic division.

3 || 1    - 4      -3       18

            3       -3      -18

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

     1     -1       -6        0


So what you have is a quadratic

x^2 - x - 6 = 0 which will factor(x - 3)(x + 2) = 0x - 3  = 0x = 3x + 2 =0x = - 2(x - 3)(x - 3)(x + 2 ) = 0

The answer is B

How to get 5% of 220 files

Answers

divide and then multiply by 100

To find 5% of 220 files, convert the percentage to a decimal (5/100 = 0.05) and multiply it by 220. The result is 11, meaning 5% of 220 files is 11 files.

To calculate 5% of 220 files, you need to use the concept of percentage from basic mathematics. Here's a step-by-step explanation:

Understand that 'percent' means 'per hundred'. So, 5% can be expressed as 5/100.

Multiply the percentage (in this case, 5/100) by the total number of files (which is 220).

Perform the calculation: (5/100) times 220 = 0.05 times 220 = 11.

Therefore, 5% of 220 files is 11 files.

The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which is the best estimate of the value of the account 12 years after it was opened? $8,910 $8,980 $13,660 $16,040

Answers

Answer:

Correct choice is B

Step-by-step explanation:

The exponential regression model can be written as exponential function

[tex]y=a\cdot b^x.[/tex]

Then

[tex]5,000=a\cdot b^0=a,\\ \\5,510=a\cdot b^2\Rightarrow 5,510=5,000\cdot b^2,\\ \\b^2=\dfrac{5,510}{5,000}=\dfrac{551}{500}\Rightarrow b\approx 1.05.[/tex]

Thus,

[tex]y=5,000\cdot (1.05)^x.[/tex]

When [tex]x=12,[/tex] you get

[tex]y(12)=5,000\cdot (1.05)^{12}\approx \$8,980.[/tex]

What's the product of 42⁄3 and 111⁄4 ?

A. 83⁄7
B. 56⁄135
C. 442⁄12
D. 521⁄2

Answers

Change the mixed numbers to the impropert fractions:

[tex]4\dfrac{2}{3}=\dfrac{4\cdot3+2}{3}=\dfrac{14}{3}\\\\11\dfrac{1}{4}=\dfrac{11\cdot4+1}{4}=\dfrac{45}{4}[/tex]

[tex]4\dfrac{2}{3}\cdot11\dfrac{1}{4}=\dfrac{14}{3}\cdot\dfrac{45}{4}=\dfrac{7}{1}\cdot\dfrac{15}{2}=\dfrac{105}{2}=52\dfrac{1}{2}\to\boxed{D.}[/tex]

Which sentences highlight the protection of consumer rights? Steven and Samuel are managers in different retail stores. Steven allows customers to look at different products and verify the product details before choosing a product. Steven’s priority is satisfied customers. Samuel prefers saving time and attending to maximum number of customers in a given time. He does not allow customers to see different products and verify product details before choosing them. He insists that consumers should just trust the products in his store and directly buy the products available instead of comparing different brands.

Answers

The basic consumer right includes "Right to be informed" that states the availability of information required for weighing alternatives, and protection from false and misleading claims in advertising and labeling practices.

Hence, the sentence "Steven allows customers to look at different products and verify the product details before choosing a product. Steven’s priority is satisfied customers" - justifies the definition of consumer rights.

So, this above sentence highlights the protection of consumer rights.

Final answer:

The sentences that highlight the protection of consumer rights are explained in the answer.

Explanation:

The sentences that highlight the protection of consumer rights are:

Steven allows customers to look at different products and verify the product details before choosing a product.Steven’s priority is satisfied customers.Samuel prefers saving time and attending to the maximum number of customers in a given time and does not allow customers to see different products and verify product details before choosing them.He insists that consumers should just trust the products in his store and directly buy the products available instead of comparing different brands.

These sentences illustrate the importance of allowing customers to make informed choices and verify product details, which are fundamental consumer rights.

What is the quetient of 17.51 / 3.4?

Answers

Answer:

5.15

Step-by-step explanation:

I entered 17.5 slash 3.4 into my TI calculator

Answer:

5.15 Hope this helps!!!!!!!!!



Convert Fahrenheit to Celsius is C=5/9(F-32) convert 18c to Fahrenheit

Answers

Answer:

-7.77778

If you use google it will help u



In ?ABC, the measure of ?C=90°, the measure of ?A=30°, and CA = 68 feet. Find the length of BC to the nearest foot

Answers

Answer:

39 feet

Step-by-step explanation:

Since the triangle is right we can use the tan ratio to find BC

tan 30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{68}[/tex]

multiply both sides by 68

68 tan 30° = BC ⇒ BC ≈ 39 feet ( to nearest foot )


The balance of Susu’s savings account can be represented by the variable b. The inequality describing her balance is b > $30. Which could be a solution to the inequality?

$15
$20
$30
$35

Answers

Answer: 35


Step-by-step explanation: This answer, wants a number just greater than 30 not equal to. The symbol > means just greater than, however the symbol ≥ means greater than or equal to.


Answer:

$35

Step-by-step explanation:

Any value of b  greater than $30 would be a solution.  Only one of the four listed possible answers satisfies that:  $35.

is 2i a real or complex root?

Answers

By definition, i = sqrt(-1) because it is used to solve the equation x^2+1 = 0 or x^2 = -1, which has no real number solutions.

Since i is imaginary or complex, then so is 2i

You can express it as 2i = 0+2i to be in the form a+bi with a = 0 as the real part and b = 2 as the imaginary component.

what is -2 sqrt20 - sqrt125

Answers

Answer:

-9sqrt(5)

Step-by-step explanation:

-2 sqrt20 - sqrt125

Lets simplify the square roots

sqrt(ab) = sqrt(a)sqrt(b)

-2 sqrt(4) sqrt(5) - sqrt(25) sqrt(5)

-2 *2sqrt(5) - 5sqrt(5)

-4sqrt(5) -5sqrt(5)

-9sqrt(5)

Please help! Urgent! Will mark brainliest!
Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3.
Which geometry concepts should be used in Lamar’s work?

A) supplementary angles and the sum of the measures of interior angles of a triangle
B) complementary angles and the sum of the measures of interior angles of a triangle
C) supplementary angles and vertical angles
D) the sum of the measures of interior angles of a triangle and vertical angles

Answers

Answer:

B

Step-by-step explanation:

Because the angles make up the interior parts of the triangle without the extra endings


Answer: The answer would be B




A gardener is planting two types of trees: Type A is 8 feet tall and grows at a rate of 3 inches per year. Type B is 7 feet tall and grows at a rate of 4 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

Answers

Answer:

Exactly 12 years it will take for these trees to be the same height

Step-by-step explanation:

Slope intercept form: An equation of line is in the form of [tex]y = mx+b[/tex] where m is the slope or unit rate and b is the y-intercepts.

Let x represents the time in years and y represents the height of the tree.

Use conversion:

1 ft = 12 inches

As per the given statement:

Type A is 8 feet tall and grows at a rate of 3 inches per year.

⇒unit rate per year = 3 inches = [tex]\frac{1}{4}[/tex] ft

Then, we have;

[tex]y =\frac{1}{4}x + 8[/tex]                      ......[1]

Similarly for;

Type B  is 7 feet tall and grows at a rate of 4 inches per year.

⇒unit rate per year = 4 inches = [tex]\frac{1}{3}[/tex] ft

then;

[tex]y =\frac{1}{3}x + 7[/tex]                   .....[2]

To find after how many years it will take for these trees to be the same height.

Since, trees to be the same height;

⇒equate [1] and [2], to solve for x;

[tex]\frac{1}{4}x + 8 = \frac{1}{3}x +7[/tex]

Subtract 7 from both sides we get;

[tex]\frac{1}{4}x + 8-7= \frac{1}{3}x +7-7[/tex]

Simplify:

[tex]\frac{1}{4}x + 1= \frac{1}{3}x[/tex]

Subtract [tex]\frac{1}{4}x[/tex] from both sides we get;

[tex]1= \frac{1}{3}x-\frac{1}{4}x[/tex]

Simplify:

[tex]1 = \frac{x}{12}[/tex]

Multiply both sides by 12 we get;

x = 12

Therefore, exactly it will take for these trees to be the same height is, 12 years

Which isn't a function?

Answers

Answer:


Step-by-step explanation:

It is the first one because a parabola cannot go sideways from a funtion because there are more than one y values for each x value

The manufacturer ID number for Proctor and Gamble is (037000) and the item number for a box of Bounce Fabric Softener is (80049). What is the valid UPC?
A) 0-37000-80049-9
B) 0-37000-80049-1
Eliminate
C) 1-37000-80049-1
D) 1-80049-37000-0

Answers

Answer:

A) 0-37000-80049-9

Step-by-step explanation:

For a standard  bar code, it consists of a five digit manufacturer number and a five digit product number.  Check digits are a single digit computed from the other characters in the string of numbers. Check digits are on the far right.


Add the odd number digits: 0+7+0+8+0+9 = 24.

Multiply the result by 3: 24 × 3 = 72.

Add the even number digits: 3+0+0+0+4 =7.

Add the two results together: 72 + 07 = 79.

The last digit is 9

Answer:b

Step-by-step explanation: USA test prep

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6 for each hour of work. Her total fee for a 44-hour job, for instance, is \$32$32. Let F(t)F(t) denote Carolina's fee for a single job FF (measured in dollars) as a function of the number of hours tt it took her to complete it.

Answers

Answer:

y=8+6t

Step-by-step explanation:


Answer:

[tex]F(t)=6t+8[/tex].

Step-by-step explanation:

Let t represent number of hours.

We have been given that Carolina charges $6 for each hour of work. So amount charged for t hours of work would be [tex]6t[/tex].

Let us find initial cost by subtracting charges for 4 hours from 32 as:

[tex]\text{Initial cost}=32-4\times 6[/tex]

[tex]\text{Initial cost}=32-24[/tex]

[tex]\text{Initial cost}=8[/tex]

The total cost for t hours of work would be initial cost plus cost per hour: [tex]6t+8[/tex].

Our required function would be [tex]F(t)=6t+8[/tex].

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