To reach the break-even point, the publisher should sell 40,000 books.
A break-even point (BEP) is the point where revenues = total cost. Hence, at this point, the company does not gain profit or loss.
On the other hand, total cost is calculated as:
Total cost = fixed cost + variable cost
Where variable cost depends on the number of units produced.
Therefore,
Total cost = fixed cost + number of unit produced x cost per unit
Parameters given in the problem:
fixed cost = h. 400,000
unit cost = h. 35
selling price = h.45 per unit
Let p be the number of books sold. Then,
Revenues = 45 x p
Total cost = 400,000 + 35 x p
At break-even point:
Revenues = total cost
45 x p = 400,000 + 35 x p
10 p = 400,000
p = 40,000
Hence, the break-even point is 40,000 books
Learn more about break-even point here:
https://brainly.com/question/21137380
#SPJ4
Geometry Homework Question
According to the given triangle, ΔBCE ≅ ΔCBD is proved.
Triangle:
The three-sided polygon that consists of three edges and three vertices is know as triangle.
Given,
Here we have the triangle and we need to prove the ΔBCE ≅ ΔCBD.
Let us consider ABC be the triangle with sides BC, AC, AB add the opposite angles A, B, C being in length equal to a, b, c respectively.
Here they draw a perpendiculars AD, BE and CF from A, B, C to opposite sides meeting sides BC, AC and AB at D, E, F respectively.
So, here we take the ΔCBD and ΔBCE,
Then the
∠D = ∠E = 90°
So, the Side BC = Side BC and the Side BD = Side CE.
From this relation, and based one the concept of RHS Congruence Criterion
We have identify that, the Corresponding Angle Congruence Test
∠DCB = ∠EBC
Therefore, the ΔBCE ≅ ΔCBD is proved
To know more about Triangle here.
https://brainly.com/question/2773823
#SPJ1
The half-life of a radioactive iotope i the time it take for a quantity of the iotope to be reduced to half it initial ma. Starting with 115 gram of a radioactive iotope, how much will be left after 3 half-live?
14.375 grams of the radioactive isotope will be left after 3 half-lives.
The initial mass of the isotope = 115 gm
after each half-life, the amount of the isotope is reduced to half
therefore,
after the first half-life, the mass of the isotope will become = 115/2
= 57.5 gram
now after the second half live, the mass will again be reduced to half of the previous mass = 57.5/2
= 28.75 gram
similarly, after the third half-life, the mass will be half of the previous mass = 28.75/ 2
= 14.375 gram
OR
simply we can write that
weight after 3 half-lives will be = 115/ 2³
= 115 / 8
= 14.375 grams.
So the mass after 3 half-lives is 14.375 grams.
A risky form of a chemical element that releases radiation as it breaks down and will become extra stable. Radioisotopes may additionally arise in nature or be made in a laboratory. In medication, they may be used in imaging exams and in treatment. additionally known as a radionuclide.
Atoms of equal detail with extraordinary numbers of neutrons are known as isotopes. Many elements have one or extra isotopes which might be radioactive. Their nuclei are risky, so they destroy down, decay, and emit radiation.
whilst utilized in cautiously controlled clinical programs, radioactive isotopes are safe and no longer almost as frightening as we first imagined. The radiation from those isotopes has a quick half of lifestyles and handiest give off low stages of radiation. Radioactive isotopes are not constantly risky, though. a few most effective ones supply tiny amounts of radiation. There are radioactive isotopes in nature all around us. maximum of them cause us very little damage.
To learn more about radioactive isotopes visit here:
brainly.com/question/1907960
#SPJ4
PLEASE HELP ME! I WILL NAME YOU THE BRAINLIEST IF YOU ANSWER! WORK DOES NOT NEED TO BE SHOWN PLEASE HURRY! THE THING IS IN THE PHOTO! PLEASE HELP AND PLEASE HURRY! THIS IS DUE TONIGHT!
Answer: Y+5= 2/9(X+2)
Answer: (x + 2) = 2/9 (y + 5)
Step-by-step explanation:
y – y₁ = m(x – x₁)
When baking bread using yeast, the typical recipe suggests 8 grams of yeast for every 500 grams of flour. What is the constant of proportionality for this relationship that is greater than 1? What is the constant of proportionality for this relationship that is less than 1?
Solving the Question
To find the constant of proportionality of a given relationship, divide the given ratios:
8 grams of yeast for every 500 grams of flour
⇒ 8/500
⇒ 0.016
We can find the constant that is greater than 1 by reversing the values:
500 grams of flour for every 8 grams of yeast
⇒ 500/8
⇒ 62.5
AnswerGreater than 1: 62.5
Less than 1: 0.016
Find all values that are NOT in the domain of h/g.
The results of the division between the two functions are listed below:
a) (h / g) (- 1) = - 1 / 15
b) x = 7 / 8 is not in the domain of (h / g) (x).
How to evaluate a division between two functions and determine its domain
Herein we have two functions h(x) and g(x), the former is a quadratic equation and the latter is a linear equation and the division between the two functions is described below:
(h / g) (x) = h(x) / g(x), for all x such that g(x) ≠ 0
If we know that h(x) = 2 · x² - 3 and g(x) = - 8 · x + 7, then the division between the two functions is:
(h / g) (x) = (2 · x² - 3) / (- 8 · x + 7)
Now we evaluate the function at x = - 1:
(h / g) (- 1) = [2 · (- 1)² - 3] / [- 8 · (- 1) + 7]
(h / g) (- 1) = (- 1) / 15
(h / g) (- 1) = - 1 / 15
To determine the value of x such that does not belong to g(x), we need to solve the following expression:
g(x) = 0
- 8 · x + 7 = 0
8 · x = 7
x = 7 / 8
To learn more on operations between two functions: https://brainly.com/question/27915566
#SPJ1
You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 28 4/5 miles on 4/5 gallon of gasoline. What is the unit rate or miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
The unit rate or miles per gallon for Blue car is 35.6 miles and for Red car is 36 miles. Red car could travel the greater distance on 1 gallon of gasoline.
44 1/2 = 44 + 1/2
= (88+1)/2
= 89/2
1 1/4 = 1 + 1/4
= (4+1)/5
= 5/4
28 4/5 = 28 + 4/5
= (140+4)/5
= 144/5
Distance blue car covers in 5/4 gallons of fuel = 89/2
Distance blue car covers in 1 gallon of fuel = (89/2) / (5/4)
= (89*4)/(2*5)
= 178/5
= 35.6
Distance red car covers in 4/5 gallons of fuel = 144/5
Distance red car covers in 1 gallon of fuel = (144/5) / (4/5)
= (144*5)/(4*5)
= 144/5
= 36
Hence, Red car could travel the greater distance on 1 gallon of gasoline by 0.4 miles.
To learn more about unit rate here:
https://brainly.com/question/26059245
#SPJ1
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60 percent of their plants are flowers and 40 percent are vegetables. They have 50 plants growing in the garden.
How many vegetable plants do they have?
If they have 50 plants growing in the garden. The number of vegetable plants they have is :20.
How to determine the number of vegetable plants?Using this formula to find the number of vegetable plants
Number of vegetable plants = Percentage of vegetable plants × Number of plants in the garden
Let plug in the formula
Number of vegetable plants = 40% × 50
Number of vegetable plants = 20
Therefore the number of vegetable plants is 20.
Learn more about number of vegetable plants here: https://brainly.com/question/13048369
#SPJ1
I WILL MARK BRAINLIEST IT WAS DUE LAST WEEK PLS HELP
Answer:
[tex]y=\frac{3}{2}x-6[/tex]
Step-by-step explanation:
y=Mx+b is slope intercept form
M- slope
b- y intercept
We know b because when x is zero y is -6 so that is the y intercept
b=-6
Now to fin the slope we use y2-y1/x2-x1
0-(-3)/4-2
3/2
m=3/2
So we just put it all into the equation to get
y=3/2x-6
Hopes this helps
Answer: i'm writeing this so you can mark the other person brainliest
Step-by-step explanation:
the table shows the heights of players in a basket ball team. work out the mean height of the team round your answer to 1 decimal place. new player joins the team and raises the mean average height to 201 cm. work out the height of this new player (height) 198,199,200,201,202) (frequency) (1,3,2,5,2)
The mean height of the team rounded to 1 decimal place is 200.0.
The height of this new player is 206.
What is mean Average?
The mean average, of a data set is the sum of all the numbers divided by the total number of values.
Formular for calculating mean Average:
Mean Average = {Sum of all the values} ÷ {Total numbers of values}
From the question the height of the players are as follows:
(height) 198,199,200,201,202)
a) Mean Average =(198 +199 +200 +201 +202)
5
=1000
5
=200.0
b) The new player joins the team to make the Mean Average 201. hence the height of the new player will be calculated using:
Mean Average = {Sum of all the values} ÷ {Total numbers of values}
201 =(198 +199 +200 +201 +202 + x )
6
201 = 1000+ x
6
crossmultiply to solve for X:
201 *6 =1000+ x
1,206 = 1000+ x
making x subject of the formular we have:
x = 1,206 - 1000
x = 206
Learn more about mean average on
https://brainly.com/question/28145873
#SPJ1
50 PTS!!!!! NEED ANSWER WITHIN 5 MINS!!!!!!
Select the correct answer.
y - 6 = 4(x - 4)
Which of the following shows a graph of the equation above?
The graph of the linear function y - 6 = 4(x - 4) is the bottom right graph.
What is a linear function?The point-slope representation of a linear function is given as follows:
y - y* = m(x - x*).
In which the coefficients of the equation are defined as follows:
m is the slope of the linear function, determining the rate of change of the output variable y relative to the input variable x.(x*, y*) are the coordinates of the point of the function.In this problem, the equation is:
y - 6 = 4(x - 4).
From this equation, the slope is of:
m = 4.
This means that the linear function is increasing, and thus, both the left graphs are not correct.
The coordinates of the point that the function passes through are given as follows:
(4, 6).
The only function that passes through this point is the bottom right function, hence it is the correct graph of y - 6 = 4(x - 4).
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
in a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment. when considering what percentage of heads of household both own their home and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60)(0.80)
No, because although two probabilities should be multiplied, it should not be these two probabilities. This is because the two events are likely not independent .
What is Probability ?
Probability is the study of likeliness of an event to happen. The range of probability is 0 to 1.
Now, According to the question:
It is given that
In a certain city, 60% of the heads of household own the house in which they reside,
and 80% of the heads of the household have full-time employment.
percentage of heads of household both own their home and have a full-time job =?
As the probability of a person having both their own home and having
full time employment are not independent.
Hence, No, because although two probabilities should be multiplied, it should not be these two probabilities. This is because the two events are likely not independent.
Learn more about Probability at:
https://brainly.com/question/15729871
#SPJ4
The balance in an interest-bearing account is modeled with a continuous function over time.
Which of the domain choices is a possibility?
A. Real numbers greater than 0
C. Integers
Whole numbers
D. Natural numbers
The domain choice that is a possibility is A. A. Real numbers greater than 0.
What is a continuous function?A continuous function in mathematics is one in which a continuous variation of the argument causes a continuous variation of the function's value. This means that there are no abrupt changes in value, which are referred to as discontinuities.
Option A: Real numbers greater than zero:
Because real numbers are continuous functions, the greater than zero part of them can be used to represent the balance sheet.
Option B: Use only whole numbers: It is not possible.
Whole numbers are discrete, not continuous, and thus cannot represent decimal points.
Option C: Integers: Invalid
Because integers are discrete rather than continuous, they cannot represent decimal points.
Natural numbers are not an option.
Natural numbers, like whole numbers, are discrete rather than continuous and cannot represent decimal points.
In conclusion, the correct option is A.
Learn more about real number on:
https://brainly.com/question/155227
#SPJ1
Make x the subject of the formula. x = 3+x / y
Answer:
below
Step-by-step explanation:
x = (3+x) / y divide both sides by x and multiply by y
y = (3+x) / x
y = 3/x + 1
y - 1 = 3/x
x = 3 / ( y-1)
If The Area Of The Smaller Pentagon Is 36, What Is The Area Of The Larger Pentagon?
A) 27
B) 52
C) 64
D) 144
pls help ty :')
Answer:
64
Step-by-step explanation:
16 ÷ 12 = 1.33 (rounded to 2 decimal places)
1.33 = scale factor
1.33² = area scale factor
1.33² × 36 = 64 (rounded to a whole number)
10x^2y divided by 5xy
The value of Indices 10x^2y÷ 5xy is 2x^(2y-1)×y^-1
What is Indices?An index is a small number that tells us how many times a term has been multiplied by itself. The plural of index is indices. Below is an example of a term written in index form: 4^3. 4 is the base and 3 is the index.
10x^2y = 10x^2(y)
dividing 5xy with 10x^2y
the coefficient 5 will divide 10 to give 2
therefore the value is
2x^2y÷ xy
using law of INDICIES
the value will be 2x^(2y-1)×y^-1
learn more about Indices from
https://brainly.com/question/10339517
#SPJ1
A volunteer knits a 5-foot long scarf at a constant rate. After 4 hours, the volunteer still has to knit 3 feet of the scarf. How much time does it take to knit the scarf from start to finish?
The time that it take to knit the scarf from start to finish is 10 hours.
How to calculate the time?From the information, the volunteer knits a 5-foot long scarf at a constant rate and after 4 hours, the volunteer still has to knit 3 feet of the scarf.
Therefore, the volunteer used 4 hours to knit 2 scarf. The time used per scarf is 4/2 = 2 hours.
In this case, the time taken to finish the scarf will be:
= Time per feet × Total feet
= 2 × 5
= 10 hours.
It'll take 10 hours.
Learn more about time on:
brainly.com/question/26046491
#SPJ1
Jina will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $49.98 and costs an additional $0.15 per mile drive
The second plan has an initial fee of $43.98 and costs an additional $0.19 per mile driven. How many miles would Jina need to drive for the two plans to cost the same?
Answer:
150 miles
Step-by-step explanation:
Jina wants to know the number of miles driven that would make the cost of two rental plans the same. One costs $0.15 per mile plus $49.98; the other costs $0.19 per mile plus $43.98.
Difference in costsThe difference in cost between the to plans for m miles driven is zero when ...
(0.15m +49.98) -(0.19m +43.98) = 0
-0.04m +6.00 = 0 . . . . . . . . simplify
m -150 = 0 . . . . . . . . . . . . divide by -0.04
m = 150 . . . . . . . . . . . . . add 150
Jina would need to drive 150 miles for the two plans to cost the same.
*NEED ANSWER ASAP* A bicycle store costs $1950 per month to operate. The store pays an average of $60 per bike. The average selling price of each bicycle is $90. How many bicycles must the store sell each month to break even?
At a profit of $30 per bike and $1950 operating cost per month the store needs to sell 65 bikes to break even.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The store pays an average of $60 per bike. The average selling price of each bicycle is $90.
∴ The profit per bike the bicycle store make is $(90 - 60) = $30.
Also, the bicycle store costs $1950 per month to operate,
Assuming no. of bikes the store needs to sell to break even is x.
∴ 30x = 1950.
x = 195/3.
x = 65.
The store needs to sell 65 bikes to break even the cost.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
how many triangles can be constructed with the side lengths of 5 inches, 8 inches, and 20 inches
Answer:
60
Step-by-step explanation:
5 x8 = 40 40 + 20 = 60
Derive the sampling distribution for the sample variance using the distribution above: 0.5 K 0.12 Question 10: Find the value of J (probability of the sample mean when $2 = 0) 0.12 0.5 0.38 0.24 ) Question 11 1 pts Derive the sampling distribution for the sample variance using the distribution above. 0.5 K 0.12 Question 11: Find the value of K (probability of the sample mean when g2 0.5) 0.12 0.5
J and K have values of 0.38 and 0.50, respectively with sampling distribution for the sample variance.
Given data;
The sampling distribution for the sample variance using the distribution;
(I) To find the value of J,
(II) To find the value of K,
We know;
⇒ ∑P(s²) = 1
⇒ J + K + 0.12 = 1
J + K = 0.88
K = 0.88 - K
Now K = 0.5;
J = 0.88 - 0.5
= 0.38
Therefore, the values of J and K are 0.38 and 0.50 respectively.
To learn more about sampling distribution click here:
brainly.com/question/29375938
#SPJ4
*CHECK IMAGE FOR ACCURATE QUESTION 13. Body surface area (BSA) is used to determine doses of medications. The H.M., where H is the height in centimeters and M is the V 3,600' mass in kilograms. A doctor calculates that a particular dose of medicine is appropriate for an individual whose BSA is less than 1.6. If the mass of the individual is 68 kilograms, how many centimeters tall can she be for the dose to be appropriate?
135.53 centimeters the height of a patient in cm if he weighs 68kg and has a BSA of 1.6m².
Given that,
Some medical professionals determine a patient's medicine dosage based on the patient's body surface area (BSA). The BSA calculation method that is most frequently employed is BSA = [tex]\sqrt{\frac{wh}{3600} }[/tex].
where BSA is expressed in square meters, w is the patient's weight (in kg), h is their height (in cm),
We have to determine the height of a patient in centimeter if he weighs 68kg and has a BSA of 1.6m².
1.6= [tex]\sqrt{\frac{wh}{3600} }[/tex]
1.6= [tex]\sqrt{\frac{68h}{3600} }[/tex]
Squaring on both sides.
1.6²= 68h/3600
2.56 × 3600 =68h
9216 = 68h
h= 9216/68
h = 135.53.
Therefore, 135.53 meters the height of a patient in cm if he weighs 68kg and has a BSA of 1.6m².
To learn more about height visit: https://brainly.com/question/10726356
#SPJ1
Which is an equivalent expression for ((5/7)2 x (1/3)-3)-1
(5/7)2 x (1/3)-3
(5/7) x (1/3)-4
(7/5)-2 x (1/3)-3
(7/5)2 x (1/3)3
The equivalent expression for the expression given; (( 5/7 )² × (1/3)-³)-¹ is; (7/5)² • (1/3)³.
What is the equivalent expression for the given expression?It follows from the task content that the expression which is equivalent to that which is given is to be determined.
Hence, since the given expression is; (( 5/7 )² × (1/3)-³)-¹;
It follows from the power of powers law of indices that we have;
( 5/7 )-² • (1/3)³
Also, according to the negative exponent law of indices; we have;
(7/5)² • (1/3)³.
On this note, the required equivalent expression is; (7/5)² • (1/3)³.
Read more on equivalent expressions;
https://brainly.com/question/24734894
#SPJ1
12. 9/11 = ?/22
OA. 18
OB. 4
OC. 9
OD. 12
Answer:
18
Step-by-step explanation:
to make the 11 denominator turn into 22 they had to multiply by 2
So we multiply the numerator by 2 too
9x2=18
Hopes this helps please mark brainliest
Answer:
If you would like to solve the equation 9/11 = x/22, you can calculate this using the following steps:
Steps to find ?
9/11 = x/22 /*22
x = 9/11 * 22
x = 18
The correct answer should be 18 through my calculations
(10x-27)=7x
find b
i need help
Answer:
x = 9
Step-by-step explanation:
Apparently, you want the solution to (10x -27) = 7x.
SolutionSubtract 7x from both sides to get ...
3x -27 = 0
Divide by 3, and you have ...
x -9 = 0
Add 9 to show the value of x:
x = 9
The solution to the given equation is x=9.
__
Additional comment
There is no information here that relates the given equation to b, so we cannot help you find b.
ASAP! exponent rules
The answer is [tex]a^{-3}=\frac{1}{x^{3} }[/tex]
Exponent
An exponent is a number that has a power. In numbers with exponents, there are several rules. This rule is used to calculate the exponents operation.
The rules are, including:
[tex]a^{m}a^{n}=a^{m+n} \\\frac{a^{m} }{a^{n} }=a^{m-n}\\( a^{m}) ^{n}=a^{mn}\\ (ab)^{m}= a^{m}b^{m} \\\frac{a}{b} ^{m}=\frac{a^{m} }{b^{m} } \\a^{-m}=\frac{1}{a^{m} }\\ \sqrt[n]{a^{m} } =a^{\frac{m}{n} }[/tex]
From the properties rules, the rules that can be used in the problem are
[tex]a^{-m}=\frac{1}{a^{m} }[/tex]
From the properties above, it can be concluded that negative exponents mean one per number to that power. Do not reverse with the cube root, where the cube root the one per is the power, not the base number.
If the question is asked [tex]a^{-3}[/tex]
then it can be directly substituted in the rule above.
With that rule, let's find the number that equivalent with [tex]4^{-3}[/tex].
[tex]a^{-3}=\frac{1}{x^{3} }[/tex]
Learn more about exponent here: https://brainly.com/question/11975096
#SPJ1
Solve this problem using estimation and rounding each amount to the nearest ten
dollars.
Over a two-month period, Mr. Bryant's sixth grade class donated their spare change
to help another student. The class raised $58.23 the first month and $66.57 the
second month. About how much money did Mr. Bryant's class raise for their
classmate?
Answer:
$124.80
Step-by-step explanation:
$58.23 + $66.57 = $124.80
Mason was recently hired for a job with an annual income of $18,000. Using the federal income rate of 15%, what amount should Mason expect to pay in federal income tax?
Answer:
$2,700
Step-by-step explanation:
15% of $18,000 = 0.15 × $18,000 = $2,700
Alang and his children went into a grocery store that sells apples for $2 each and peaches for $0.50 each. Alang has $20 to spend and must buy a minimum of 16 apples and peaches altogether. If xx represents the number of apples purchased and yy represents the number of peaches purchased, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities has been solved graphically and one possible solution is buying 4 apples and 12 peaches.
How to write and solve the system of inequalities graphically?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of apples purchased and number of peaches purchased by Alang and his children, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of apples purchased.Let the variable y represent the number of peaches purchased.Since apples for $2 each and peaches for $0.50 each, the cost of fruits is given by:
2x + 0.5y ≤ 20
Also, they must buy a minimum of 16 apples and peaches altogether:
x + y ≥ 16
Therefore, a possible solution when x = 4 is given by:
x + y ≥ 16
4 + y ≥ 16
y ≥ 16 - 4
y ≥ 12
Read more on inequality here: brainly.com/question/20505952
#SPJ1
Evaluate z + 3x
when X= –6 and Z= 4
Answer:
-14
Step-by-step explanation:
Hello!
You can evaluate the value of z + 3x by substituting the given values of z and x into the equation.
Evaluatez + 3x; x = -6, z=4(4) + 3(-6)4 - 18-14The evaluated value is -14.
Answer:
-14
Step-by-step explanation:
4+3(-6)
4-18
-14
Exam-style P is the point with coordinates (5, 7). Q is the point with coordinates (x, 15).
The gradient of line PQ is 2. Work out the value of x.
By using the formula for the gradient, we can solve a simple equation to find that the value of x is 9.
How to find the value of x?For a segment whose endpoints are:
P = (x₁, y₁) and Q = (x₂, y₂)
The gradient of the line PQ is:
G = (y₂ - y₁)/(x₂ - x₁)
So it is like the slope of a linear equation.
In this case, the endpoints are:
P = (5, 7)
Q = (x, 15)
And the gradient is equal to 2, so we have G = 2, then we can write the equation:
2 = (15 - 7)/(x - 5)
We can solve this to get:
2*(x - 5) = (15 - 7)
2x - 10 = 8
2x = 10 + 8
2x = 18
x = 18/2 = 9
The value of x is 9.
Learn more about gradients:
https://brainly.com/question/21727173
#SPJ1