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

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Related Questions

Find the 27th term of a sequence where the first term is – 7
and the common difference is 7.

Answers

Answer:

175


Explanation:

1. an (any term) = 27
2. a1 (first term) = -7
3. d (common difference) = 7

• Use the explicit formula:

an = d(n - 1) + a1

a27 = 7(27 - 1) - 7


- Subtract inside the parenthesis ():

a27 = 7(26) - 7


- Distribute:

a27 = 182 - 7


- Subtract:

a27 = 175

Helppp can’t figure this one out

Answers

Answer:

x = 5.9

Step-by-step explanation:

Reference angle = 26°

Opposite = x

Adjacent = 12

Apply TO A:

Tan 26 = Opp/Adj

Substitute

Tan 26 = x/12

Multiply both sides by 12

12*Tan 26 = x

5.85279107 = x

x = 5.9 (nearest tenth)

100 POINTS TO WHOEVER ANSWERS CORRECT

if you could ask any 2 questions about a 5th degree polynomial function what would they be and why. HURRY

Answers

Answer:

Why is there no general symmetry?

Does it always take  six points or six pieces of information to describe a quintic function?

Why are the roots not solvable by radicals?

I really don't know the "why", I just steer away from them when I can.

What is the following difference?
2ab(√/192ab²)-5[√/81a¹b³
O-3ab √3ab²
O 18ab² (2/3a)-45a2b² (2√3b)
0-7ab(2√3ab²)
O
8ab(√3ab²-15ab² (2√3ab)

Answers

Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)

what are expressions ?

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.

given

Rewrite the above expression as:

[tex]2ab\sqrt[3]{3*4^{3} *ab^{2} } - 5\sqrt[3]{3*3^{3} * a^{4}b^{5} }[/tex]

Evaluate the cube roots

[tex]2ab {4\sqrt[3]{3ab^{2} } } - 5 {3ab\sqrt[3]{3ab^{2} }[/tex]

Evaluate the differences

-7ab(2√3ab²)

Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)

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Which expression results in a rational number?

Answers

Answer:

3

Step-by-step explanation:

It equal .4, which is rational because it doesn't repeat.

Answer:

3

Step-by-step explanation:

What is 20 minus 2 equal?

Answers

Answer:

18

Step-by-step explanation:

20-2=18

please brainiest

its 18

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

bye! <3

Match the parametric equations with the correct graph.
x=t cos (t), y=t, z=t sin(t), t ≥ 0

Answers

The given parametric equation represents the graph mentioned in Option A.

What is the parametric equation?

A parametric equation is defined as a kind of equation that inherit an independent variable called a parameter, and where dependent variables are defined as continuous functions of the parameter.

here,
For equation, x = t cos (t), y = t, z = t sin(t), t ≥ 0.
Since,

x² + y² = t²cos²(t) + t² sin²t
x² + y² = t²
x² + y² = z²

Here, the x-z cross-section of the curve is a circle. But as t accumulates, the radius of the circle also advances in the y direction, and those circular cross-sections extend as the value of the parameter t increase.
The curve will draft as circles in x-z planes while moving towards y direction and also the radius of those circular cross sections increases at the same rate as its advancement towards y direction.

Thus, the given parametric equation represents the graph mentioned in Option A.

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mr.jim would like to plant carrots all around base of the fence surrounding his square feet. the area of his garden is 100 sq feet. in feet what is tje perimeter​

Answers

if the shape is a square the perimeter is 40

Solve the equation.

3(x−9)=30

Answers

Answer:

x = 19

Step-by-step explanation:

3(x - 9) = 30

Divide both sides by 3 to isolate the binomial.

x - 9 = 10

Add 9 to both sides to isolate x.

x = 19

Check your answer by plugging x = 19 back into the equation.

3(x - 9) = 30

3(19 - 9) = 30

Subtract.

3(10) = 30

Multiply.

30 = 30

Your answer is correct.

Hope this helps!

Answer:

x = 19

Step-by-step explanation:

First, we must distribute 3(x-9) = 30

[tex]3x - 27 = 30[/tex]

Now, that we've distributed this equation, we can proceed.

Secondly, since there is a subtraction sign in front of 27, we must do the opposite, addition.

Add 27 to 27 and 30:

[tex]3x - 27 = 30[/tex]

[tex]-27 + 27 = 0[/tex]

[tex]30 + 27 = 57[/tex]

Furthermore, -27 + 27 is 0, so it cancels itself out. Also, since we added 30 and 27 and got 57, replace 30 with 57.

[tex]3x = 57[/tex]

Lastly, divide 57 by the number in front of coefficient, 3.

[tex]57/3=19[/tex]

Therefore, [tex]x=19.[/tex]

**TO MAKE THIS MORE UNDERSTANDING, THIS IS HOW YOUR EQUATION SHOULD LOOK WHILE SOLVING**

Lena sells two types of fidget toys. The price for each fidget toy A is x and the price for each Fidget B is y. Write an equation that will let her earn a profit of $3500 if she sells 20 of Fidget A and 60 of Fidget B

Answers

Answer:

3500 = 20x + 60y

Step-by-step explanation:

Its just the answer

Which of the following equations expresses the
relationship between x and y in the table below?

A y = 10x + 1
B. y = 2x - 1
C. y = -x + 45
D. y = -3x + 53
E. y = -7x + 81

Answers

Answer:

D

Step-by-step explanation:

ummm.....

Beverly Hobbs earns $683 a week she is single and claims 2 allowances what amount is withheld weekly for federal income tax

Answers

Therefore, $52.25 is the answer to the inquiry about what percentage of a person's income is withheld each week for federal income tax.

What is percentage?

A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

Here,

The Federal Insurance Contribution Act is the American legislative framework in use here, and it contains the criteria and guidelines that are utilized to determine payroll taxes on an employee's paychecks. The social security and Medicare programs are funded through taxation, which is paid by both employers and employees.

The amount of federal income tax deducted from the weekly cheque is:

6.2% from Social Security plus 1.45% from Medicare.

= 7.5 percent of the weekly gross salary.

The amount of federal income tax withheld each week from Beverly Hibbs's $683.00 weekly salary is:

= 0.0765 × 683

= $52.25

Therefore, $52.25 is the answer to the inquiry about what proportion of a person's income is withheld each week for federal income tax.

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A jar contains 6 blue gumballs, 4 yellow gumballs, and 8 red gumballs. What is the probability of choosing a yellow gumball and then a red gumball if the first gumball is placed back into the jar before the second is chosen?

Answers

Answer:

2/9 or 22.22% and 4/9 or 44.44%

Step-by-step explanation:

6+4+8=18   4/18=2/9   8/18=4/9

An ice cream store offers waffle cones or sugar cones. Each is equally likely to be chosen.

Which of the following models could be used to simulate this situation?



(HINT: Choose the model with the same number of possible outcomes as cone choices.)

Group of answer choices

A rolling a 6-sided number cube

B spinning a spinner with 3 equal sections

C flipping a coin

D using a random number generator that generates numbers 1 through 9

Answers

Answer:

C

Step-by-step explanation:

hopes it helps you!

Answer:

Flipping a coin

Step-by-step explanation:

It is the best answer, because the other choices do not represent a 50% chance. Rolling a 6-sided number cube would be good if you had 6 things, spinning a spinner would be ideal for 3, and using a number generator would be good for 9 things.

Ques below: please answer that

Answers

The answer is 18 meters per second


990 divided by 55 equals 18

The total weight of 15 bags of groceries is 45 pounds. If each bag weighs the same amount, how much would 7 bags of groceries weigh?

Answers

If 15 bags weigh 45pounds. Then each bag weighs 3 pounds. 45 / 15 = 3

7 bags weigh 21 pounds. 7 x 3 = 21

identify the part of following expression 4x-2y + 6/ 2x

Coefficients:

Constants:

Variable Terms:

Like Terms:

Answers

identification of the expression 4x- 2y + 6 = 2x is

Coefficient: 4, -2, 2Constant: 6Variable term: 4x, -2yLike terms: 4x and 2x

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, a linear expression 4x-2y + 6 = 2x

Coefficient:

Coefficients are the numbers by which the variables in an equation are multiplied

Thus, the Coefficient terms for this equation = 4x, -2y, 2x

Constants:

the constant is the part of the expression that does not vary with the value of x and y.

Thus, constant terms for this equation = 6

variable terms:

These are the terms that vary at the different values of x and y.

Thus, variable terms for this equation = 4x, -2y

Like terms:

Terms that have identical variable parts (same variable(s) and same exponent(s))

thus, Like terms for this expression = 4x, 2x

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A diver made 6 dives in 30 days. At this rate how many dives did the diver make in 50 days?

HELP IM GIVING BRAINLIEST!!!! :))

Answers

He makes 8 dives in 50 days

What is the mode of the quiz scores 2?3?4?5?

Answers

Answer:

2

Step-by-step explanation:

Frequency means the number of times the number appears.

2 appears the most since its frequency is the largest. 2 appeared 5 times.

Answer:

To find the mode, you have to find the number that appears the most.

Here, I see that 2 appears the most.

2 is the mode.

Step-by-step explanation:

There are a lot of lazy students.

I hope you are not one of them!

Sara had 222 dollars to spend on 9 books after buying then she had 15 dollars how much did each book cost​

Answers

Answer:

Each book cost 222 - 15 = 207 / 9 = 22.88 dollars.

The sum of two numbers is 210 and their difference is 30. What are the two numbers?

Answers

Answer:

120 and 90

Step-by-step explanation:

let one number be x and the other y

x + y = 210 (sum = 210)

x - y = 30 (difference = 30)

add the two equations together

2x = 240

divide both sides by 2 to isolate x

x = 120

plug into 1st equation

120 + y = 210

subtract 120 from both sides

y = 90

Solution :

We take the 2 numbers as 'x' and 'x-30' in order to find those numbers

We plug the values into the given equation

[tex]x + x - 30 = 210\\2x - 30 = 210\\\\2x = 240\\x = \frac{240}{2} \\x = 120\\x - 30 = 120 - 30 = 90\\[/tex]

[tex]120 - 90 = 30[/tex]

Hence , the two numbers are 120 and 90

A cone has a radius of 7cm and a height of 12 cm. Find the volume

Answers

Answer:

615.75m cubed

Step-by-step explanation:

dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. What is his gross monthly earinings for february?

Answers

The gross monthly earnings for February will be $1012.2

How to illustrate the expression?

It should be noted that gross monthly earnings simply means the earnings that an individual makes for a particular month.

In this case, Dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. His gross monthly earnings for February will be:

= ($200 × 4) + (4.1% × $5175.50)

= $1012.2

Therefore, $1012.2 will be the earnings.

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This is worth half of my grade

Answers

Answer:

[tex]y = 8 - 8\sin(2x) [/tex]

Jason bought 3/4 of jelly beans for $12.60 how much would a pound cost Jason

Answers

$16.80 because $4.20 x 3 = $12.60 and $12.60 + $4.20 = $16.80

At a local shop Sissi spends one third of her money on milk and two fifths of her money on bread and a one ninth on a lolipop
(A) what fraction of Sissi's money did she spend in the local shop?
(B) what fraction of Sissi's money does she have left?​

Answers

Answer:

the answer for a is 38 over 45 that is the total fraction of her money that she spent in the local shop for b the answer is 7/45

This came about as for a when we added the total number of expenditures that CeCe had made that is 1/3 + 2/5 + 1/9 and that is 38/45 so that is the fraction of money that she said that she spent in the local shop.

as for b it said what fraction of sissies money does she have left and we know that the total fraction is 38 over 45 and we are going to subtract it from 1.

and that will give us 7/45

in last weeks volleyball game Ashley served 15 times and made 2 errors. What was her serving percentage? (what percent did she serve it in?

Answers

1300%


hope this helps

Approximate the solutions to this system. y=3x^2+x-6
y=x-4
Round your answer to the nearest hundredth.

Answers

Y=28%]+£~€|>^€:21739=+

PLEASE HELP ITS DUE TOMORROW maths

Answers

Answer:

Average speed: 698 kmh^-1

Step-by-step explanation:

In 1440 earth days, there are 34560 hours (1440 × 24)

Solving for the average speed, km/h

[tex]\frac{24~130000km}{3450hr}[/tex] ≈ [tex]698.21 km[/tex]

so, the average speed is [tex]698 kmh^{-1}[/tex]

[tex]---------[/tex]

hope it helps..

have a great day!!

In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students
who do not have any siblings. What is the probability that a student chosen randomly
from the class has a brother and a sister?
HELPPPPPP

Answers

30 students

14 have no siblings

that leaves 16 with siblings

6 have brothers and 12 have sisters which = 18 so 2 of the students have both a brother and a sister

2/30 students have a brother and a sister

1/15 chance
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