1) A publisher wants to determine the thickness of a book they will print soon. The book has a front cover and a back cover, each of which have a thickness of

1/4 in. The publisher can choose on what type of paper to print the book.

Bond paper has a thickness of 1/4 in. per 100 pages.

Write an equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper.


Ledger paper has a thickness of 2/5 in. per `100` pages. Write an equation that gives the width `y` of the book, if it has `x`-hundred pages printed on ledger paper.

2) If the publisher selects front and back covers with a thickness of 1/3 in. each, how would this change the equations you wrote on the previous slides?

Answers

Answer 1

1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x

1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x

2) The equation will be; y = ²/₃ +¹/₄x

How to solve Algebraic Word Problems?

1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;

The addition of both gives to the book thickness of;

1/4 + 1/4 = 1/2 inch, despite how many pages the book  has.

We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:

y = ¹/₂ + ¹/₄x

where;

y is the width of the book in inches.

x is every hundred pages printed on bond paper.

1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;

y = ¹/₂ + ²/₅x

2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;

y = 2(1/3) +¹/₄x

y = ²/₃ +¹/₄x

Read more about Algebraic Word Problems at; https://brainly.com/question/21405634

#SPJ1


Related Questions

write a mutiplcation exprresion that shows ten to the third

Answers

Answer:

10x10x10 or 10*3......

solve for inequality for graph y + 4 > 1/2 {x + 2}

Answers

Answer:

y > X/2 - 3

I think that's the answer.

what fraction of 3 kilograms is 50 grams

Answers

Answer:

50/30

5/0

1.6%

Step-by-step explanation:

Write an expression to represent: 2 times the difference of x and 3​

Answers

Answer:

2(x-3)

Step-by-step explanation: 2 is being multiplied by the difference (subtraction) of x-3.

-POINTS-
(4IZ0 Don’t even try.)

Answers

Answer:

Step-by-step explanation:

axf

I don’t know what to put here

Is (7, 9) a solution of y > 2x − 5?

HELP

Answers

Answer:

no

Step-by-step explanation:

y > 2x - 5

9 > 2(7) - 5

9 > 14 - 5

9 > 9. not a solution

9=9


(5b + 16)
(b + 32)°
What is the value of b ?
b =

Answers

Answer:

b = -8

Step-by-step explanation:

To determine the value of b, we can use the factoring method. We can factor the expression

(5b + 16)(b + 32) as (b + 8)(5b + 16).

Setting each factor to 0, we get b + 8 = 0 and 5b + 16 = 0.

Solving for b in the first equation, we get b = -8.

Substituting this value into the second equation, we get 5(-8) + 16 = 0, which simplifies to -40 + 16 = 0.

This equation is true only when the value of b is -8. Therefore, the value of b is -8.

to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.

Answers

Answer:

both are right

Step-by-step explanation:

2/5x = 14

multiply both sides by 5/2:

(5/2)(2/5)x = 14(5/2)

x = 70/2 = 35

However, dividing by 2/5 is the same as multiplying by 5/2, so you are BOTH right.  Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-4) = -11 C. g(0) = 2 D. g(-13) = 20

Answers

Answer: B

Step-by-step explanation:

12a-3b squared, when a=9, b=4

Answers

Answer:

60

Step-by-step explanation:

12a - 3b²

12(9) - 3(4)²

108 - 3(16)

108 - 48

60

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{12a - 3b^2}\\\mathsf{= 12(9) - 3(4)^2}\\\mathsf{= 12(9) - 3(4\times4)}\\\mathsf{= 12(9) - 3(16)}\\\mathsf{108 - 3(16)}\\\mathsf{= 108 - 48}\\\mathsf{= 60}\\\\\huge\text{Therefore, your answer should be: }\\\huge\boxed{\mathsf{60}}\huge\chdckmark[/tex]



[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]


Tamara uses 8.5 of blue paint and white paint to paint her bedroom walls. Three fourths of this amount is blue paint, and the rest is white paint . How many pints of white paint did she used to paint her bedroom walls

Answers

The amount of white paint used by Tamara to paint the bedroom walls is 2.125.

What are Fractions?

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Total amount of paint = 8.5

Three fourths of this amount is blue paint.

Amount of blue paint = (3/4) × 8.5 = 6.375

Rest is white paint.

Amount of white paint = Total paint - Amount of blue paint

                                     = 8.5 - 6.375

                                     = 2.125

Hence the amount of white paint used to paint bedroom walls is 2.125.

To learn more about Fractions, click on the link :

https://brainly.com/question/8482939

#SPJ1

What Is the slope for these two points (3,-2) and (5,6)?

Answers

Answer:

4

Step-by-step explanation:

m = Δy/Δx = (6-(-2))/(5-3) =8/2 = 4

After 9 years in an account with a 3.9% annual interest rate compounded continuously, an investment is worth a total of $17,757.16. What is the value of the principal investment? Around the answer to the nearest penny.

Answers

The value of the principal investment would be = $12,500.75

What is a principal investment?

A principal investment is defined as the capital amount of money that is being deposited into an account with the purpose of receiving interest for a particular period of time.

The years of investment (t) = 9 years

The annual interest rate (r) = 3.9% = 3.9/100= 0.039

The total worth of the investment (A) = $17,757.16

Then, solve the equation for P

P = A / ert

P = 17,757.16 / e(0.039*9)

P = $12,500.75

Therefore, the principal amount that is needed which can be compounded continuously to get the total amount given = $12,500.75

Learn more about simple interest here:

https://brainly.com/question/25793394

#SPJ1

Rose decided to buy a photocopy machine that is projected to yield cash savings of RM2,000 per year over a 20 years period. Using a 15% discount rate, calculate the present value of the savings.
(Assume that the cash savings occur at the end of the year)

Answers

Answer:

RM832.29

Step-by-step explanation:

Calculate PV Savings

To calculate the present value of the savings, we can use the formula:

PV = cash savings / (1 + r)^t

Where PV is the present value, r is the discount rate, and t is the number of years.

Plugging in the values given in the problem, we get:

PV = RM2,000 / (1 + 0.15)^20

= RM2,000 / 1.15^20

= RM832.29

So the present value of the savings is RM832.29.

Answer: RM25,919.89.

Step-by-step explanation:

The present value of the cash savings is the sum of the present value of each year's cash savings.

To calculate this, the formula for the present value of a single cash flow is used:

Present Value = Future Value / (1 + r)^n

Where r is the discount rate, and n is the number of years.

So, for the first year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^1 = 1739.13

For the second year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^2 = 1510.71

This can be repeated for the remaining 18 years, and the sum of all the present values is the total present value of the cash savings over 20 years:

Total PV = 1739.13 + 1510.71 + .... + 437.66 = RM25,919.89

Therefore, the present value of the cash savings over 20 years with a 15% discount rate is RM25,919.89.

Show your work please help

Answers

The error in the work lies in line 3 where the square root is calculated inaccurately.

What is square root of a number?

The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.

The error is in line 3, line 4 and line 5.

The error in line 3 is inaccurate calculation of the value of square root of 4.

The error in line 4 is a mathematical calculation error.

The error in line 5 is a mathematical calculation error.

The correct answer in Line 3 is:

[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]

The correct answer in Line 4 is:

[tex]12\sqrt{5} - 3\sqrt{5}[/tex]

The correct answer in Line 5 is:

[tex]9\sqrt{5}[/tex]

Learn more about square root here:

https://brainly.com/question/3120622

#SPJ1

A measurement of 50.8 centimeters is equivalent to how many inches? A. 25 B. 12 C.20 D. 10

Answers

Answer: C. 20

Step-by-step explanation:

1 inch is equal to 2.54 cm.

So we have to divide the amount of centimeters given by how many centimeters are in an inch to find how many inches.

50.8 ÷ 2.54 = 20

Hope this helps!!! :)

for values of x f(x) = 2x-3 and g(x)= x^2+1 find gf(x)

Answers

Answer:

g(f(x)) = 4x² - 12x + 10

Step-by-step explanation:

to find g(f(x)) substitute x = f(x) ino g(x)

g(f(x))

= g(2x - 3)

= (2x - 3)² + 1 ← expand parenthesis using FOIL

= 4x² - 6x - 6x + 9 + 1

= 4x² - 12x + 10

the total cost for 5 adult tickets and 18 student tickets at a local theater is $98. The total cost was 98. The total cost for 4 adult tickets and 22 student tickets at the theater is $105. What’s the cost for one adult ticket and one student ticket? PLEASEE BRO

Answers

The cost of one adult ticket is 3.6 and cost of one student ticket is 4.3

Tickets for a school talent show cost $2 for students and $3 for adults. If Chris spends at least $11 but no more than 14 on x student tickets and 1 adult ticket, what is one possible value of x?

Either 4 or is the appropriate response.

Chris spends a total of 2 x + 3 dollars on x student tickets and a total of x adult tickets because each student ticket costs $ 2 and each adult ticket costs $ 3.

Because Chris spends at least $ 11 but no more than $ 14 on the tickets, the entire inequality 2 x + 3 1 can be written.

x = 4 and x = 5.5 are obtained by subtracting 3 from each side of both inequalities and then dividing each side of both inequalities by 2.

A number higher than or equal to 4 and less than or equal to 5.5 must both be integers in order for x to have a value.

Therefore, either x = 4 or x = 5.

To be learn more about integers refer to:

https://brainly.com/question/15276410?referrer=searchResults

#SPJ1

On a scale, drawing inches equals 10 miles if the length of the road on the scale is 4 inches which of the following could be used to find the length of the road

Answers

On solving the provided question, we can say that - here in equation 10x + =4 = 2

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

the equation we have is  = 10x + =4 = 2

10x = -2

x = -1/5

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The length of a rectangle is twice its width. The perimeter is 30. Find it’s dimensions.

Answers

Answer:

Length = 10 Width = 5

Step-by-step explanation:

Let's assume that,

→ Length = 2x

→ Width = x

→ Perimeter = 30

Perimeter of rectangle formula,

→ P = 2(L + W)

Now the value of x will be,

→ P = 2(L + W)

→ 2(2x + x) = 30

→ 2 × 3x = 30

→ 6x = 30

→ x = 30/6

→ [ x = 5 ]

Then required dimensions are,

→ Length = 2x = 2 × 5 = 10

→ Width = x = 5

Hence, these are the dimensions.

Length = 10

width = 5

Given-

Perimeter =30

l=2b........................................................ i

so

P =2(l+b)

here

30 = 2(2b +b)... ... ..............         as l=2b from i

30 = 2*3b

30 = 6b

b= 5

which implies l= 2*5 --->10............................................ from i

so

Length = 10

width = 5

Read More about the perimeter of a rectangle:

https://brainly.com/question/17297081

If there are estimated to be 10 ^ 11 galaxies in the known universe and 10 ^ 11 stars in each galaxy, how many stars are estimated to be in the universe?​

Answers

Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:

number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)

This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11

10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22

So, there are estimated to be 10 ^ 22 stars in the known universe.

Step-by-step explanation:

What information will be useful to know to answer the main question? How can you get it? How will you use that information

Answers

Answer:

Step-by-step explanation:

Can u give more detail as to what the question is asking pease

It would be helpful to know what the main question is in order to accurately determine what information would be useful to know and how to obtain and use it. Could you please provide the main question?

2. What are the domain and range for the exponential parent function,
where b is a positive real number not equal to 1 and a > 0?

Answers

On solving the provided question, we can say that - the value of the given polynomials domain will be ( - infinity, 0)

what is domain?

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

domain will be ( - infinity, 0)

range = (-infinity, +infinity)

To know more about domain visit:

https://brainly.com/question/28135761

#SPJ1

Find the LCM of the first five primes

Answers

Answer:

The first 5 prime numbers are 2, 3, 5, 7 and 11. Their LCM is 2310

S+S+S+S AND 4S I don't know it could someone help me who knows it is it equivalent or not equivalent

Answers

Yes, the expressions S+S+S+S AND 4S as required in the task content are equivalent expressions.

Are the given expressions equivalent expressions?

It follows from the task content that the expressions given S+S+S+S AND 4S are to be compared and determine if they are equivalent or not.

Since the given expressions are; S + S + S + S and 4S.

S + S + S + S can be written by factorisation as;

S ( 1 + 1 + 1 + 1 ) = S (4)

= 4S.

On this note, it can be inferred that the two expressions given are equivalent expressions.

Read more on equivalent expressions;

https://brainly.com/question/4348710

#SPJ1

I just need help appreciate it and have a great day

Answers

On solving the provided question, we can say that - by doing the fraction we have 3/12 = 1/4

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

balloons is 12

blew up is  1/3

friend blew up is  5

1/3*12 = 4

4+5 = 9

3/12 = 1/4

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1

Refer to the diagram shown.

I need help with this please help me

Answers

Answer: Angle-Side-Angle Theorem

Step-by-step explanation:

The two triangles are shown to have congruent angles. By the Reflexive Property of Congruence, Side PM is shared and congruent between the two.

Because the angles are on either side (left and right) of the shared side, the triangles are congruent by the Angle-Side-Angle Theorem.

pls help due tomorrow​

Answers

On solving the provided question, we can say that - by doing the equation, we have -12 +18 = p + 7 => 6 = p + 7 => p = -1

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

-12 +18 = p + 7

6 = p + 7

p = -1

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The altitude of the hypotenuse of a right triangle divides the hypotenuse into two segments. If the ratio of lengths of the segments is 1:9 and the length of the altitude is 6 meters, find the lengths of the two segments?

Answers

Answer:

2 m18 m

Step-by-step explanation:

You want the lengths of the segments of the hypotenuse of a right triangle when an altitude of 6 m divides the hypotenuse into parts with the ratio 1:9.

Geometric mean

The altitude to the hypotenuse of a right triangle is the geometric mean of the parts it divides the hypotenuse into. If the shorter part is x, then the longer part is 9x, and their geometric mean is ...

  6 = √(x(9x)) = 3√x² = 3x

  x = 2 . . . . . . . divide by 3

The length of the shorter segment is 2 m; the longer one, 18 m.

A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?

Answers

The total length needed in inches will be 490.5 inches.

How to calculate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:

= (3 ft 4 7/8 inch × 12)

Note that 1 feet = 12 inches

= (12 × 3) + (4 7/8) × 12

= (36 + 4.875) × 12

= 490.5 inches

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

Other Questions
What was the purpose of the Lend-Lease Act of 1941? What was the Samurai equivalent in European Feudalism? aserf bnoble cknight dking What are 3 examples of perfect squares? Rather than a crash investigation, accidents involving hit-and-run drivers require more of a(n) ________ investigation. Which expression is equivalent to 4(x + 2)?12x6x4x + 24x + 8 Which assessment finding for a client with Cushing disease would the nurse need to report immediately to the Health care provider If f(x) =x - 5 and g(x) = 2x + 3, find values for each of the following.a. f(g(1)) =b. g(f (2)) =c. g(g(0)) =d. (f 0 9) (-2) =e. (g o f) (3) =f. (f o f) (-1) = Which statement is true based on a graph of the line that passes through the given coordinates? (2, 1), (3,3), (5,7), (6,9) Please helpA. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.B. The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.D. The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin. What is a 3 degree equation called? a typical gps satellites orbit at an altitude of 2.0 x10^7 m. find (a) the orbital period, and (b) the orbital speed of such a satellite Proctor says the devil is alive in Salem. Within the story , what is the literal and figurative meaning of this The Prime Minister of Britain at the time was __________________________________.It about the world war II Explain why the energy available at the top layer of the pyramid is a small percentage of the energy present at the bottom of the pyramid: * When an individual starts exercising at a light pace, what energy system provides the bulk of energetic needs if this were to last an hour The solid xy decomposes into gaseous x and y: xy(s) m x(g) + y(g) kp = 4. 1 (at 0 c) if the reaction is carried out in a 22. 4 l container, which initial amounts of x and y will result in the formation of solid xy? The figure below to the left is a graph of f(x), and below to the right is g(x).The figure below to the left is a graph of f(x), a(a) What is the average value of f(x) on 0x2? avg value = __________(b) What is the average value of g(x) on 0x2? avg value = __________(c) What is the average value of f(x)?g(x) on 0x2? avg value = _________(d) Is the following statement true?Average(f)?Average(g)=Average(f?g)A. YesB. No Determine whether the lines tangent to the curve at the x-intercepts of the curve are parallel. Show the analysis that leads to your conclusion. Write a story from the perspective of Grendel, the monster in Beowulf. The narrative must include plot and characterization that both center on a strong conflict. A recovery tool that creates restore points, which are snapshots of Windows, its configuration, and all installed programs. Which of the following statements are true? (select more than one answer)