A publisher wants to figure out how thick their new book will be. The book has a front cover and a back cover, each of which have a thickness of 1/4 of an inch. They have a choice of which type of paper to print the book on. Bond paper has a thickness of 1/4 inch per one hundred pages. Write an equation for the width of the book, y, if it has x hundred pages, printed on bond paper.

Answers

Answer 1

Answer:

1/4x+1/4y=?

Step-by-step explanation:


Related Questions

3-for-1 split. After the split, the price of one share was $39.24. What was the pre-split price per share?

Answers

Answer:   $117.72

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

Explanation:

Let's say that the company is valued at $300 just as a simple example.

Also, let's say there are 100 shares each worth $3, so we have 100*3 = 300 as the total value of the company.

A 3-for-1 split means that for each share, it will get turned into 3 shares. So you turn in 1 share and in return you get 3 shares back. Or put another way, each share is ripped/cut into 3 equal pieces.

After doing this split, we would have 3*100 = 300 shares and each share would be now worth (1/3)*3 = 1 dollar. Note the new number of shares multiplied with the new value per share is still the same total valuation of $300. Doing a stock split, or a reverse stock split, will not change the value of the company. This is a good thing or else companies would simply do (reverse) splits all the time to increase their value however large they wanted without actually contributing anything to society.

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

So quite simply, when we do a 3-for-1 split, we multiply the old price per share by 1/3 to get the new price per share.

Let

x = old price per share

y = new price per share

So x happens before the split and y is after the split.

For a 3-to-1 split, we can form this equation

y = (1/3)x

which solves to

x = 3y

when we multiply both sides by 3

We know that y = 39.24, which means,

x = 3y

x = 3*39.24

x = 117.72

The pre-split price per share was $117.72

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

So in short, all we did was multiply the given number (39.24) by 3.

Giving brainiest explain answer

Answers

Answer:

B.) Carrier B

Step-by-step explanation:

The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.

Might be a bit confusing, but hope it helps.

Graph each linear equation that passes through the given pair of points. Use graph paper.
1. (2,2) and (4,5)
2. (0,1/2) and (2,3/2)
3. (-1,2) and (5,0)
4(-5,-3) and (-3,5)

Answers

Answer:

The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.

But let's be more complete:

Let's find the equations for each line:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

1) Here the points are (2,2) and (4,5)

then the slope is:

a = (5 - 2)/(4 - 2) = 3/2

y = (3/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)

2 = (3/2)*2 + b

2 = 3 + b

2 - 3 = b

-1 = b

y = (3/2)*x - 1

2) Here the points are (0,1/2) and (2,3/2)

then the slope is:

a = (3/2 - 1/2)/(2 - 0) = 1/2

y = (1/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)

1/2 = (1/2)*0 + b

1/2 = b

y = (1/2)*x + 1/2

3) Here the points are (-1,2) and (5,0)

then the slope is:

a = (0 - 2)/(5 + 1) = -1/3

y = (-1/3)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)

2 = (-1/3)*-1 + b

2 = 1/3 + b

2 - 1/3 = b

5/3 = b

y = (-1/3)*x + 5/3

4) Here the points are (-5,-3) and (-3,5)

then the slope is:

a = (5 + 3)/(-3 + 5) = -4

y = -4*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)

5 = -4*-3 + b

5 = 12 + b

5 - 12 = b

-7 = b

y = -4*x - 7

Now that we have all the equations, we can find the graphs.

where the colors are:

(4) green

(3) orange

(2) Blue

(1) Gray.

Explain the steps to solve for g in the equation -1/3g+5=2

Answers

/ = divided -1/3(1) = -3 + 5 = 2 (g = 1)

Answer:

g=9

Step-by-step explanation:

-1/3x9=-3+5=2

Given ac is perpendicular to cb and cx is perpendicular to ab, prove angle 2 is congruent to angle 3.

Answers

Answer:

Step-by-step explanation:

Given in the question,

AC ⊥ BC and CX ⊥ AB

m∠ACB = 90°

m∠ACX = 90° - m∠3

Now by applying the property of interior angle of triangle,

m∠CAX + m∠CXA + m∠ACX = 180°

m∠2 + 90° + (90°- m∠3) = 180°

m∠2 + 180° - m∠3 = 180°

m∠2 - m∠3 = 0

m∠2 = m∠3

Therefore, m∠2 ≅ m∠3.  

A rectangle has a perimeter of 104 feet. If the
width of the rectangle is one more than twice its
length, determine the dimensions of the
rectangle.

Answers

Answer:

w=35, L = 17

Step-by-step explanation:

the perimeter is all sides added together to total 104. so,

2L + 2W= 104

the width is one more than twice it's length, so W = 2L + 1

plug that into first equation.

2L + 2(2L+1)=104

distribute:. 2L + 4L + 2= 104 and continue to solve for L

6L + 2= 104 subtract 2 from both sides.

6L = 102, divide both sides by 6

L = 17. so the length is 17 ft. now use that number to put it in our equation for width, W= 2L + 1

W= 2(17)+1

W = 35

HELP ASAP!! WILL GIVE BRAINLIEST ❤️

Find the slope of the line passing through the given points using the slope formula. Enter the slope in
simplest form. Describe the slope as positive, negative, zero, or undefined.
(-5. 19) and (-1,7)

Answers

Answer:

[tex]m=-3[/tex]

The slope is negative.

General Formulas and Concepts:

Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 19)

Point (-1, 7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{7-19}{-1-(-5)}[/tex]Simplify:                        [tex]m=\frac{7-19}{-1+5}[/tex]Subtract/Add:               [tex]m=\frac{-12}{4}[/tex]Divide:                          [tex]m=-3[/tex]

Determine if the two triangles are congruent.

Answers

Answer:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

What is the solution set for
3x 2 + 48 = 0 ?
O {6.9, -6.9}
O {4, -4}
O {21, -21]
O {41 , -4; }

Answers

Answer:

{ 4i, - 4i }

Step-by-step explanation:

Given

3x² + 48 = 0 ( subtract 48 from both sides )

3x² = - 48 ( divide both sides by 3 )

x² = - 16 ( take the square root of both sides )

x = ± [tex]\sqrt{-16}[/tex] = ± 4i

solution set is { - 4i, 4i }

Please help me with this one please, I've been having trouble figuring this one out.

Answers

Answer:

y = - 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (2, - 3)

m = [tex]\frac{-3-5}{2+2}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2

The line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - 2x - 1 ← equation of line

Y=-2x-1
I hope this helps

4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21

Answers

Answer:

Answer:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

Step-by-step explanation:

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!

Rob buys 50 feet of border to place around the ceiling of a room. The ceiling is shaped like a square with sides that are 10.8 feet long. How many feet of border will Rob have left?

Answers

Answer:

Step-by-step explanation:

Rob needs 43.2 feet of border to place around the ceiling and Rob will have 6.8 feet of border left after placing it around the ceiling.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.

The perimeter of the ceiling is equal to the total length of border that Rob will need. The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square.

In this case, the length of one side of the square ceiling is 10.8 feet, so the perimeter is:

P = 4s = 4(10.8) = 43.2 feet

Therefore, Rob needs 43.2 feet of border to place around the ceiling.

Since he has purchased 50 feet of border, he will have:

50 - 43.2 = 6.8 feet

Rob will have 6.8 feet of border left after placing it around the ceiling.

To learn more about distance from the given link:

https://brainly.com/question/30923151

#SPJ1

A line has a slope of 2 and a y-intercept of -5. What is its equation in slope-intercept form? ​

Answers

Answer:

y=2x-5

Step-by-step explanation:

Solve the system of equations.
9x + 4y = 6
9x + 5y = -33
X =
y =

Answers

Answer x= 18 y=-39

Step-by-step explanation:

For a class of students, the association between GPA and SAT math score is roughly linear. The
equation of the least-squares regression line relating y=SAT math score to x = GPA is û = 410.54 + 67.3x. Predict the SAT math score for Jessica, who has a 3.00 GPA.

Answers

Answer:

612.44

Step-by-step explanation:

Given the linear regression equation between SAT score and GPA

y = 410.54 + 67.3x

Where

y = SAT math score ; x = GPA

THE SAT math score for Jessica who has a GPA of 3.00

x = 3

y = 410.54 + 67.3(3)

y = 410.54 + 201.9

y = 612.44

Which of these statements about savings is incorrect? *
1 point
People often believe they are saving when they buy products at a listed
discount, even if they didn't need the product in the first place
It is extremely difficult to open a savings account, as you typically need at
least $10,000 for your initial deposit
Without a vehicle to save (like a savings account), it's much easier to spend
and harder to keep track of finances
Billions of dollars is spent on marketing to persuade consumers to spend
money instead of saving it
dinion in high school and Hust started his
1

Answers

Answer:

The answer is "Option b"

Step-by-step explanation:

The numbering of the choices was defined in the attached file please find it.  

In the question except for option b, all choices were correct, that can be defined as follows:

Citizens also believe because they save by buying products at a price, even if the product wasn't required first. It's cheaper to take and tough to maintain track of funds without a way to invest (like a bank account). Billions of lives were expended on ads and convince consumers to invest money in the junior high rather than saving their union so Hust started his career.

How much will you get paid if you work 28.5 hours for $7.75 per hour?

Answers

Answer:

$220.875

Step-by-step explanation:

For 1 hour you get $7.75

To find how much money you make in 28.5 hours... you multiply the number of hours with the number of dollars.

28.5 * 7.75

$220.875

The Answer is $220.88

Why would a deferred annuity or annuities due be preferred as a retirement investment?

Answers

I believe the answer is: The tax deferred nature.

Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.

Solve for p.
i = prt

p = i-rt
p = (rt)/i
p = i/(rt)

Answers

Answer:

[tex] \sf p = \dfrac{i}{rt} [/tex]

Step-by-step explanation:

Solve for p:

[tex] \longrightarrow [/tex] i = prt

i = prt is equivalent to prt = i:

[tex] \longrightarrow [/tex] prt = i

Divide both sides by rt:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{prt}{rt} = \dfrac{i}{rt} [/tex]

[tex] \sf \dfrac{prt}{rt} = p: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf p = \dfrac{i}{rt} [/tex]

whats the slope of (-1,4) and (-2,5)

Answers

Answer:

the slope is -1

Step-by-step explanation:

rise over run

Steven is making bags of trail mix for hiking club. He will use 23 ounces of walnuts, 11.2 ounces of almonds, and 14.3 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?

Answers

Answer:

1.94 ounces are in each bag.

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

23 ounces of walnuts + 11.2 ounces of almonds + 14.3 ounces of cashews = 48.5 ounces.

From the question we are told that these amounts make 25 bags.

The number of ounces that are in each bag is calculated as:

25 bags = 48.5 ounces

1 bag = x ounces

Cross Multiply

25 bags × x ounces = 1 bag × 48.5 ounces

x ounces = 1 bag × 48.5 ounces/25 bags

x ounces = 1.94 ounces

Therefore, there are 1.94 ounces in each bag

Student answers 90% of the questions on the math exam correctly if she answers 27 questions correctly how many questions are on exam

Answers

Answer:

30 questions

Step-by-step explanation:

if you cross multiply and divide like this,

[tex]\frac{27}{x}= \frac{90}{100}[/tex]

27 x 100 = 2700

2700 / 90 = 30

you'll get ; 30 !

Answer:

There are 30 total questions on the exam

Explanation:

90% = 0.9

0.9 x TOTAL = 27

27/ 0.9 = TOTAL

30 = TOTAL

Plz help with these 2 questions plz it depends on my grade
for the penny one i need the equation for one of the answers

Answers

Answer:

Yes

Step-by-step explanation:

2 pennies and 3 dimes = 60 cents

I penny = 1 cent

1 dime = 10 cents

Apply the distributive property to create an equivalent expression. (4b + 2e + 3) 3 = ​

Answers

Answer:

12b+6e+9

Step-by-step explanation:

You multiply 3 with every number inside the parentheses.

(3x4b)=12b

(3x2e)=6e

(3x3)=9

3. In the figure shown, a circle with center O and radius of length 3 units is
inscribed in a square. What is the area of the shaded region? *

A. 3.86 square units
B. 7.73 square units
C. 28.27 square units
D. 32.86 square units

Answers

Answer:

C

Step-by-step explanation:

To find the area of a circle, take its radius (3) and square it. In this case, 3 times 3 = 9. Then, you multiply the answer by pi, which rounds to 3.14, but is more like 3.14159265......etc, etc. There is a rhyme for that: May I have a large container of coffee beans? Where the length of each word is a number of pi. Anyway, most people would write 9pi, but this is asking for the exact answer, so you can do 3.14 times 9, which equals roughly 28.27. Hope this helped!        

for expressions a-e select yes or no to indicate whether each expression is equivalent to 3(x + 2).
A. 3x + 2 Yes_ No_
B. 3(2 + x) Yes_ No_
C. 3x + 2x Yes_ No_
D. x + 2x + 2 + 4 Yes_ No_
E. x + x + x + 1 + 1 + 1 + 1 +1 +1 Yes_ No_

Answers

Answer:

A. No

B. Yes

C. No

D. Yes

E. Yes

Step-by-step explanation:

3(x + 2) = 3x + 6

A. 3x + 2 is not 3x + 6

B. 3(2 + x) = 6 + 3x is equal to 3x + 6

C. 3x + 2x is not the same as 3x + 6

D. x + 2x + 2 + 4 = 3x + 6 is equal to 3x + 6

E. x + x + x + 1 + 1 + 1 + 1 + 1 + 1 = 3x + 6 is the same as 3x + 6

An office manager buys 34 chairs for the new office. Each chair costs $205. What is the total amount the office manager pays for chairs? Enter your answer in the box. $_____________

Answers

Answer:

so each chair will cost 205

205 will be our cost C this is our dependent due to the entire cost being base on how many chairs that will get order

the independent variable will be how many chairs that will be ordered and there are 34 chairs being ordered

34*205= 6970

the total cost will be 6970

Your neighbor leaves his yard, which is 120 ft from the bus stop. He begins to
walk toward you at the bus stop and then passes you. He walks at a speed of
4 ft/s. His distance d from you after t seconds is given by d = 1120 - 4tl. After
how many seconds is your neighbor 30 ft from you?

Answers

Answer:

22.5 seconds and 37.5 seconds  

I hope this is helpful!

How many solutions can be found in this equation 4x - 8 - 4x = 9?
0

1

2

or infinet

Answers

the statement is false so no solution give brainslet if you can

Evaluate the following expression. Type your answer as a number.

8 + 23 - (4 × 3) =
the 23 is a exponet jus to let you know

Answers

its 2

Hope this helps! <3

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