A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as
editing) and variable costs (such as printing). The one-time fixed costs will total $32,060. The variable costs will be $12.75 per
book. The publisher will sell the finished product to bookstores at a price of $21.50 per book. How many books must the
publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer 1

In linear equations x = 3,664 books are the production costs will equal the money from sales .

What is a formula for linear equations?

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

fixed cost = $32,060

variable cost = $12.75

here cost function

c(x) = fixed cost  +  x( variable cost )

c(x) =  $32,060  +   x($12.75)   ................. 1

now revenue function

R(X) = (Selling price ).x

r(x) =   ( 21.50)x   .............2

where production cost is wqual to selling

              c (X)      = r (x)

   32,0 60  +   x($12.75)  =  ( 21.50)x

        32,060 =  ( 21.50)x  - (12.75)x

         32,060 =  8.75 x

             x = 3,664 books

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Related Questions

An instructor gives a short quiz involving 10 true-false questions. To test the hypothesis that the student is guessing the following decision rule is adopted :

Answers

176/2^10 = 0.171875.

n=10, p=1/2, q=1/2

probability of student passes the quiz only if he answers 7 or more than 7 questions correctly and let it be x

P(x)=10C7(0.5)^7(0.5)^3 + 10C8(0.5)^8(0.5)^2 + 10C9(0.5)^9(0.5)^1

+ 10C10(0.5)^10(0.5)^0

=120 /1024 + 45/1024 + 10/1024 + 1/1024

P(x)=176 / 1024

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Please help with photo below

Answers

Answer:

No

Step-by-step explanation:

like terms are terms which have the same variable , that is

10x and - 5x are like terms, they both have the same variable x

Your revenue (in dollars) for selling x bracelets is given by f(x) = 5x and your profit is $50 less than 80% of the revenue. What is your profit for 77 sales?​

Answers

From the calculation carried out below, it can be observed that the profit for 77 sales is $258.

How do we calculate profit for sales?

Given revenue as:

f(x) = 5x ............................ (1)

Where:

x = Number of bracelets sold or sales = 77

Total obtain the revenue, substitute x = 77 into equation (1), we have:

Revenue = f(77) = 5 * 77

Revenue = $385

Since profit is $50 less than 80% of the revenue, we have:

Profit = (Revenue * 80%) - 50

Profit = (385 * 80%) - 50

Profit = 308 - 50

Profit = $258

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An isotope with z > 83, which lies close to the band of stability, will generally decay through_______

Answers

An isotope with z > 83, which lies close to the band of stability, will generally decay through decay.

What do we mean by decay?The process by which an unstable atomic nucleus loses energy through radiation is known as radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration, as well as nuclear disintegration). Radioactive material is one that contains unstable nuclei. Radioactive decay is the spontaneous transformation of one element into another. This can only happen by changing the number of protons in the nucleus (an element is defined by its number of protons). A radioactive procedure in which a nucleus spontaneously transforms into one or more different nuclei while emitting radiation, losing electrons, or fissioning. An isotope with z > 83, for example, which is close to the band of stability, will generally decay through decay.

Therefore, an isotope with z > 83, which lies close to the band of stability, will generally decay through decay.

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A random sample of 10 subjects have weights with a standard deviation of kg. What is the variance of their​ weights? be sure to include the appropriate units with the result.

Answers

The variance of their​ weights is 128.87270 kg².

It is required to find the variance of their​ weights.

What is standard deviation ?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Let n=sample size=10 subjects

Standard deviation=11.352211.3522 kg

Using this formula

Variance=(Standard deviation)²

By the formula we get,

Variance=(11.352211.3522 kg)²

Variance=128.87270 kg²

Therefore, the variance of their​ weights is 128.87270 kg².

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Given f(-3) = -30 for some polynomial, what factor can f(x) be divided by that will result in a remainder of -30?​

Answers

Answer:If you can spot a factor of

f(x)

then you can use synthetic division to divide by that factor to give a simpler polynomial to factor.

Step-by-step explanation:

Identify the property that justifies the statement. ∠LMN ≅ ∠LMN
Please Hurry!!

Answers

The property which justifies the statement, ∠LMN ≅ ∠LMN is: C. reflexive property of ≅.

Corresponding parts of two congruent figures.

In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.

What is the reflexive property of congruence?

The reflexive property of congruence states that a line segment, an angle, or geometric shape (geometric figure) is always congruent to itself.

This ultimately implies that, for all angles M , ∠M ≅ ∠M. In this context, we can reasonably infer and logically deduce that the property which justifies the statement, ∠LMN ≅ ∠LMN is reflexive property of ≅.

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These numbers form an addition and subtraction fact family.
4, 2, 6
Choose the fact family formed by these numbers.
OA 2+6=8
8-6=2
2+2=4
4-2=2
OB. 2+4= 6
6-4=2
OC 4+2=6
6-2=4
OD. 4+2=6
6-2=4
2+4=6
6-4=2

Answers

The correct family is option D.

To understand this problem we must be aware of the concept of addition and subtraction and also BODMAS rules which applies in an linear equation.

The numbers given here are 4,2 and 6.

We can see here that on adding 4 and 2 we get 6;

4+2=6

And on subtracting 2 from 6 we get 4;

6-2=4

Also we can see here that on subtracting 4 from 6 we get 2;

6-4=2.

These three relations are true for the given numbers.

And we can see that option D clearly fits the answer.

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Find the value of
(8/125) -2/-3

Answers

The value of the exponent equation [tex]\frac{8}{125} ^{-2/3}[/tex] is 25/4 or 6.25.

According to the question the exponent equation that we have been given is :

          [tex]\frac{8}{125} ^{-2/3}[/tex]

First, we will change the negative sign of the exponent and to change the negative sign of the exponent we will reciprocal the fraction that is

        = [tex]\frac{125}{8} ^{2/3}[/tex]

Which is also equal to

  =   [tex]{125} ^{-2/3}/8^{2/3}[/tex]

Now we know that 5³ =125 and 2³ = 8. Thus replacing the numerator and denominator by it we get,

  =  [tex](5^{3}) ^{2/3}/(2^{3}) ^{2/3}[/tex]

  =  5²/2²

  = 25/4

  = 6.25

Hence the value of the exponent equation is 25/4 or 6.25

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After making several plates of empanadas, you are down to your last bag of shredded cheese. You realize that it’s not full; there is about / three-fourths of a bag left. If you want to make 4 plates with the remaining cheese, what fraction of a bag can you put on each plate?

Answers

The fraction of a bag that you can put on each plate is 3 /16.

What is the fraction you can put on each plate?

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator and the denominator are divided by a line. An example of a fraction is 1 / 2.

The fraction of the cheese that you can put on each plate can be determined by dividing the amount of cheese left by the number of plates. Division is the process of grouping a number into equal parts using another number.

Amount that can be put on each plate = fraction left / number of plates

3 /4 ÷ 4

3/4 × 1/4 = 3 /16.

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If the straight-line distance from her home to the university is 10. 3 km in a direction 25. 0° south of east, what was her average velocity in km/h?.

Answers

The average velocity in km/h is: 34.3km/hr

What is average velocity?

Average velocity refers to speed at which the time intervals (t) change in position or displacement happens, divided by the change in position or displacement (x).

=> Average velocity = [tex]\frac{displacement}{time}[/tex]

Now,

The time taken is missing in the question; the time taken = 18 mins = [tex]\frac{18}{60}[/tex] hours.

The distance of her home to the university = 10.3 km

As, average velocity = [tex]\frac{displacement}{time}[/tex]

=> Velocity = [tex]\frac{10.3\times60}{18}[/tex] = 34.3 km/hr

Hence, the average velocity = 34.3 km/hr

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What is 1/2x+1/2x=x+1

Answers

Answer: 2x..?

Not 100% sure but here's my reasoning

(1/2 + 1/2 + 1)x

1/2 + 1/2 = 1

1 + 1 = 2

then you add the x, making it 2x

i could be wrong im literally half asleep eating chicken wings and finishing my own homework so forgive me if this is completely wrong lol

When Betty painted her house, she used 3 gallons of white paint and 2 gallons of brown paint. How many gallons of paint did Betty use in all?

Answers

Answer:

5 gallons

Step-by-step explanation:

You just add 2 gallons and 3 gallons and you get

Question 12
4
Which of the following numbers is irrational?
-9
5
7
√√5. √9
3

Answers

Answer: square root of 5 and square root of  9

Step-by-step explanation:

12. FIND THE ERROR A student is finding the
total cost c, including sales tax, of a book
that costs $9.95. The sales tax rate is 9%.
Find the student's mistake and correct it.

Answers

Here is what the student wrote (re-pasting for clarity)

C = 1.9 x 9.95

C = 18.91

C = $18.91

The error happens in the 1st line

Why? Because the 1.9 should be 1.09

The 1.9 represents a tax of 90% when we want a 9% tax instead

In other words, 9% = 9/100 = 0.09 while 90% = 90/100 = 0.9

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

This is what the steps should look like

C = 1.09 x 9.95

C = 10.8455

C = 10.85

Don't forget to round to the nearest hundredth, aka nearest penny.

The total cost, after sales tax, is $10.85

Given x = 1, y = 1, w = 1, and z = 1 and this expression: what is the evaluation of the logical expression?

Answers

The evaluation of the expression is 2, if the expression is x - y + z(x + w).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that x = 1, y = 1, w = 1, and z = 1

We have been given expression

⇒ x - y + z(x + w)

Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,

⇒ 1 - 1 + 1(1 + 1)

⇒ 0 + 1(2)

⇒ 2

Hence, the evaluation of the expression is 2.

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Your question is incomplete, probably the missing part is:

Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?

HELP PLS will mark brainliest

[tex](1-\frac{9x^2+4}{12x} )/(\frac{1}{3x}-\frac{1}{2} )+1[/tex]

Answers

Answer:

[tex] \frac{3x}{2} [/tex]

Solve for u.
4u = 88
Simplify your answer as much as possible.
U=
X
3

Answers

Answer: u=22

Step-by-step explanation:

4u = 88

Divide by 4 on both sides

4u/4 = 88/4

Cancel out 4u

u = 22

simplify 3a x 5b x 5b x 6c

Answers

450d that’s the answer for sure!

3/4x+8<41 graph it as well

Answers

Answer:

x<44

Step-by-step explanation:

140%of 138.6 is what

Answers

Hello, the answer is 194.04.

First, you would convert 140% to a decimal which is 1.4. Next, you would multiply 1.4 x 138.6 = 194.04.

So the steps to a percentage multiplied to a number are:

1. Convert the percentage to a decimal.

2. Multiply the decimal by the number.

3. You get the answer.

What is the equation of the line that is perpendicular to and has the same y-intercept as the given line? y = one-fifthx 1 y = one-fifthx 5 y = 5x 1 y = 5x 5

Answers

For the following equation of the line: y = (1/5)x + 1, y = (1/5)x + 5, y = 5x + 1, and y = 5x + 5, the line that is perpendicular to it and has the same y - intercept is: y = -5x + 1, y = -5x + 5, y = (-1/5)x + 1, and y = (-1/5)x + 5, respectively.

If two equations of the line are perpendicular with each other, then their slopes are negative reciprocal of one another.

To generate the equation of the line perpendicular to the given lines, with the same y-intercept,

1. Get the slope of each line and determine its y-intercept

2. Take the negative reciprocal of the slope and use it and the same y-intercept to get the equation.

y = (1/5)x + 1

slope = 1/5

y-intercept = 1

perpendicular line :

slope = -5

y-intercept = 1

equation : y = -5x + 1

y = (1/5)x + 5

slope = 1/5

y-intercept = 5

perpendicular line :

slope = -5

y-intercept = 5

equation : y = -5x + 5

y = 5x + 1

slope = 5

y-intercept = 1

perpendicular line :

slope = -1/5

y-intercept = 1

equation : y = (-1/5)x + 1

y = 5x + 5

slope = 5

y-intercept = 5

perpendicular line :

slope = -1/5

y-intercept = 5

equation : y = (-1/5)x + 5

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Answer:

C     y = 5x + 1

Step-by-step explanation:

Took the test on edu

At the beginning of the day, the temperature is -15oF. As the sun comes out, it warms to a high of 8oF. What is the difference in temperature throughout the day?


PLEASE ANSWER FAST IM TIMEDDDD!!!!

Answers

the difference in temp would be 23°F

Answer:23

Step-by-step explanation: take -15 and negate it which will set you at 15 then add 8 will put you at 23degrees

25. Communicate and Justify Ramon says that 4 1 can be rewritten as Jamal says that 12 124* it cannot because both the numerator and denominator need to be raised to the power of 4. Who is correct? Explain. Thinking For what values of x is​

Answers

Answer:

Step-by-step explanation:

Ramon is correct to write the expression (1/12)⁴ that can be rewritten as 1/12⁴.

Use the concept of exponent defined as:

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.

Given that,

Ramon says that (1/12)⁴ can be rewritten as 1/12⁴.

And, Jamal says that it cannot.

Here, the expression is,

(1/12)⁴

Apply the rule of exponent as

1⁴ / 12⁴

1 / 12⁴

Hence, Ramon is correct to write the expression.

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19.6 is 24.5% of what number?
- For 11 points ​

Answers

Answer:

80

Step-by-step explanation:

[tex]\frac{24.5}{100} *x = 19.6\\x = 19.6 *\frac{100}{24.5} \\x = 80[/tex]

19.6 is 24.5% of 80

Answer:

24.5% of 80= 19.6

Step-by-step explanation:

24.5% of what number is equal to 19.6

24.5

____ x = 19.6

100 100

x = 19.6 x ____

24.5

= x =80

HOPE IT HELPS

(3.6 x 105) / (1.2 x 103) =

Answers

3.0582524271844

Step-by-step explanation:

1.multiply the numbers:3.6×105=378

2.multiply the numbers:1.2 ×103=123.6

3.Divide the numbers:378/123.6=3.0582524271844

If the volume of a cube increases at rate of 3 cm^3/sec what is the rate of increase of the length of its side ?

Answers

Greetings from Brasil...

We know that

V = L³  ⇒  L = ∛V

and

dV/dt = 3cm³/s   (volume rate as a function of time)

Let

dL/dV = L' = 1/(3∛V²)    

We need dL/dt (side rate as a function of time), so

(dV/dt) . (dL/dV) = dL/dt

then

dL/dt = 3 . [1/(3∛V²)]

dL/dt = 1/∛V²

Does each box at the fruit stand contain a different fruit? set all_different to true if each box contains a different fruit or to false if multiple boxes contain the same fruit.

Answers

No, multiple boxes contain the same fruit.

3 boxes contains the same fruit : strawberry

all different = False

From the given table,

box ID |  fruit name   |  count

53686  |  kiwi         |    45

57181  |  strawberry   |   123

25274  |  apple        |    20

48800  |  orange       |    35

26187  |  strawberry   |   255

57930  |  grape        |   517

52357  |  strawberry   |   102

43566  |  peach        |    40

=> You can see that, each box have a unique box ID, and a fruit name for each box.

=> These 57181, 26187, 52357 boxes contains strawberry.

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latoya plots the integers -8, -5, and 2 on a number line. which of the following is the distance between one pair of integers that she plotted?

Answers

distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.

Number line :

the line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, in plotting a point.

The numbers on the left are smaller than the numbers on the right of the number line. A number line can also be used to carry out addition, subtraction, and multiplication. We always move right to add, move left to subtract, and skip count to multiply.

Distance formula :

D= right side integer of horizontal line  - left side integer of the horizontal line

Distance between the points -8 and 2

d = 2-(-8)

d=10 unit

Distance between the points -5 and 2

d= 2-(-5)

d=2+5

d=7 unit

Distance between the points -5 and -8

d= -5-(-8)

d=-5+8

d=3

distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.

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Use the expression -1/3-(-5/12) show an equivalent addition expression

Answers

The equivalent expression to -1/3-(-5/12) is 1/12.

How to calculate the expression?

From the information, the expression given is -1/3-(-5/12).

Therefore, this will be computed thus:

= -1/3-(-5/12)

= - 1/3 + 5/12

= 5/12 - 1/3

= 5/12 - 4/12

= 1/12

Therefore, the equivalent expression to -1/3-(-5/12) is 1/12.

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