A 26-by-27-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. Find the width of the margins if the printed area is to be 360 in2.

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the width of the margins as x.

So, we subtract 'x' width on each side of the paper.

So, length = 26-x-x= 26-2 x

Width = 27-x-x=27-2 x

Now, it is given printed area is 360

We can set up equation using length x width = Area

(26-2 x)(27-2 x) = 360

Multiply the left side using FOIL method,

702 -52  x-54 x+4 x^2 =360

Combine like terms

702-106x+4x^2=360

Subtract both sides 360

4x^2-106x+342 =0

Let's divide both sides by 2 to simplify

2x^2 -53x+171=0

Let's use quadratic formula to solve.

I'll upload the file for this.

There are two possible values for x.

Approximately x= 22.46 , x=3.76

Here x=3.76 works b

A 26-by-27-inch Sheet Of Paper Is To Be Used For A Poster, With The Shorter Side At The Bottom. Find

Related Questions

T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to set up the mouse pad design. The total cost of an order was $562. How many mouse pads were printed?


A:47


B:275


C:550


D:281

Answers

Answer: 275

Step-by-step explanation:

3. Solve for a
5(a-2) = 2(10+a)

it’s due by midnight and can you also tell me how you got the answer

Answers

Answer:

a=10

Step-by-step explanation:

distribute on both sides to get

5a-10=20+2a

add/subtract like terms

5a-2a=3a

20+10=30

so the equation is

3a=30

divide 30 by 3 and you get 10

Answer:

a = 10

Step-by-step explanation:

[tex]5(a - 2) = 2(10 + a) \\ \\ 5a - 10= 20 + 2a\\ \\ 5a - 2a= 20 + 10\\ \\ 3a = 30\\ \\ a = \frac{30}{3} \\ \\ \huge \red{ \boxed{a = 10}}[/tex]

At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes were from the other countries?

Answers

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = [tex]\dfrac38x[/tex]

Dishes from Japan  = [tex]12.5\% \text{ of }x= 0.125x[/tex]

Total dishes  from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]

Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]

Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]

Hence, dishes from other countries = 50%

write the coordinates obtained after the given translation​

Answers

Answer:You would just have to add 4 to all of the x values and add 5 to all the y values

Step-by-step explanation:

J : (3,2)
K : (5,2)
L : (4,5)

riddle
What runs around the whole yard without moving?

Answers

Answer:

a yard stick, maybe I'm right

Answer:

a fence

Step-by-step explanation:

HAHAHA LOL

I need help on the word problem with

Answers

hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj

Answer: x>11

Step-by-step explanation:

Find the 39th term of the following sequence. 17,11, 5, -1

Answers

Answer:

-330

Step-by-step explanation:

a39= 17+ (39-1) * -6

17+ 38 = 55

55*-6 = -330

-6t-7=17 what does t equal

Answers

Answer:

t=-4

Step-by-step explanation:

I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4

Which expression is equivalent to – (4-3)?

A. -2(to the power of 2) + 3
B. -2(to the power of 2)– 3
C. -3 - 2(to the power of 2)
D. -3 +2(to the power of 2)

Answers

Answer:

answer is really hard and small, but I can't help because I don't know,

sorry not sorry

lol

regards,

Rosemary

Given: AB ∩ CD ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate: Vertical angle to ∠GOB: ____________

Answers

Answer:

The verticle angle to GOB is AOF.

Step-by-step explanation:

Look at the picture, it's pretty clear

solve the equation
-4(x - 26) = -200

Answers

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

Divide (-3x^2 - 9x) ÷ (x + 3)
please explain/show work! <33

Answers

Step-by-step explanation:

[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]

This is the original equation so you will open the brackets.

[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]

The x will cross the division sign making it times x.

[tex]3 {x}^{2} - 9x \times x = 3[/tex]

So you will proceed to multiply the 9x by x making it;

[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]

So you will subtract 9x² from 3x² which won't be possible so it will be negative.

[tex] - 6 {x}^{2} = 3 [/tex]

Then you will square root both sides making it;

[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]

So the ² will cancel the leaving

-6x=3

-6x=1.73(Divide both sides by -6)

x=0.288

That's the final answer.

What is the value of c?

Answers

The answer is 71 degrees, considering that one is a right angle we know that it is 90 degrees and because all of the angles of a triangle added up is 180 we can do 180 - (90 + 42) = 48, 48 is a, then we know that angle B is on a supplementary angle with a so it would be 90 - a = b, plug it in it would be 90 - 48 = 42 then we would do the same thing to find angle c, 180 - (42 + 67) which equals 71

write 56.78 correct to one significant number

Answers

Answer:

60

Step-by-step explanation:

Brainliest 5 stars Thanks! (running out of time and points sorry)

Answers

The answer is c f(-8)=0

Determine the values of X

Answers

66+52+x=180
118+x=180
x=180-118
x=62


Hope this helps :)

Step-by-step explanation:

x+66+52=180

x=180-66-52

x=180-118

x=62

Bernard says “When you halve a whole number that ends in 8, you always
get a number that ends in 4”

Write down an example to show that Bernard is wrong.

is this a trick question?

Answers

Answer:

Bernad is WRONG.

Step-by-step explanation:

Let us take the number '18' (ends with 8)

The half of 18 is '9' (doesn't end with 4)

Let us take the number '38' (ends with 8)

The half of 38 is '19' (doesn't end with 4)

Therefore, Bernard is wrong.

Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Bernard says “When you halve a whole number that ends in 8, you always get a number that ends in 4”

It can be written mathematically:

Let's suppose the number is '18' (ends with 8)

The half of 18 =  9 (doesn't end with 4)

Let's suppose the number is '38' (ends with 8)

The half of 38 = 19 (doesn't end with 4)

Thus, Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

What is an equation of the line that passes through the points (7, 6) and (-2, -3)?

Answers

Answer:

y=1x-1

Step-by-step explanation:

m=y2-y1/x2-x1

-3-6=(-9)

-2-7=(-9)

-9/-9=1

6=1*7+b

1*7=7

7-7=0

6-7=-1

b=-1

y=1x-1

hope this helps :3

if it did pls mark brainliest

Help pls help pls help pls help pls help pls

Answers

Answer:

Domain: -2 < x ≤ 3

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:

(-2, 3] or -2 < x ≤ 3

Answer:

ramen is the true answer to lifes problems  

Step-by-step explanation:

Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this arithmetic sequence.

Answers

Answer:

[tex]a_{n}[/tex] = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth

Answers

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

which expression is equivalent to sin(pi/12)cos(7pi/12)-cos(pi/12)sin(7pi/12)? a) cos(-pi/2) b) sin(-pi/2) c) cos(2pi/3) d) sin(2pi/3)

Answers

Answer:A

Step-by-step explanation:

Edge 2020

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

What is trigonometric expression?

Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.

It is one of the identities of trigonometry

sinAcosB - cosAsinB = sin(A - B)

Given expression

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]

It is in form of sinAcosB - cosAsinB = sin(A - B)

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]

Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

Find out more information about trigonometric expression here

https://brainly.com/question/2142049

#SPJ2

Evaluate: 21x: 8 when x = 4*

Answers

Answer:

10.5

Step-by-step explanation:

21(4) / 8

84 / 8

10.5

What is the value of p? Please provide an explanation, thanks!

Answers

Answer:

p = 2?

Step-by-step explanation:

6 - 4 = 2

4 + _ = 6 (2)

2 + 2 = 4

Answer:

Step-by-step explanation:

6p - 4 + 4p + 6 + p + 2 = 180

11p + 4 = 180

11p = 176

p = 16

Which of the following mixtures will have a stronger coffee flavor? explain please thank you!!
A) Mixture B
B) Mixture A
C) Both the mixtures are equally strong.

Answers

Mixture B because there’s a higher ratio of coffee to milk than in Mixture A (1:3 vs. 1:2)

HeLp Me pLz

What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?

A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases

Answers

The answer is a papallelogram that is not a rectangle.

Suppose that 2000 is placed in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Do not do any rounding.
A:Find the amount in the account at the end of 1 year.
B: Find the amount in the account at the end of 2 years.

Answers

After one year there will be $2260 and after two years there will be $2553.80

The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

As per the question, the given data will be:

p = $2000

r = 13%

t = 1 year

To calculate the amount in the account at the end of 1 year.

A = P(1+r/100)ⁿ

Substitute the values of p,r, and t in the formula,

A = 2000(1 + 13/100)¹

A = 2000(1 + 0.13)¹

A = 2000(1.13)

A = $2260

To calculate the amount in the account at the end of 2 years.

A = 2000(1 + 13/100)²

A = 2000(1 + 0.13)²

A = 2000(1.13)²

A = $2553.8

Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ2

Please help me out!!!!!

Answers

im a little rusty on this but i believe it is y =-(x+3)-5

what is 2 over 5 simplafied

Answers

Answer:

2/5 simplified is 1/2.5 or .4

Step-by-step explanation:

You simplify by dividing the numerator by the denominator. Thus 2/5 is

.40.

Hope this helps!

HELP ASP!!❤️
WILL GIVE BRAINLIEST!...

Find the slope of the line. Enter your answer in simplest form.

Answers

Answer:

[tex]m=\frac{-4}{3}[/tex]

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 (-6, 5)

Point (3, -7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-7-5}{3-(-6)}[/tex]Simplify:                        [tex]m=\frac{-7-5}{3+6}[/tex]Subtract/Add:               [tex]m=\frac{-12}{9}[/tex]Simplify:                        [tex]m=\frac{-4}{3}[/tex]

Answer:

the slope is -4/3

Step-by-step explanation:

m=y2-y1/x2-x1

-7-5=(-12)

3-(-6)=9

-12/9

-12/3=(-4)

9/3=3

-4/3

hope this helps :3

if it did pls mark brainliest

Other Questions
Which of these was NOT a factor in why the Spanish, with fewer men, were able to eventuallyconquer the Aztec Empire? completely factor 1-100x^2 What is the median?-2 -3 8 -6 -9 A set of average city temperatures in October are normally distributed with a mean of 20.6C20.6 C20, point, 6, degrees, start text, C, end text and a standard deviation of 2C2 C2, degrees, start text, C, end text.What proportion of temperatures are between 18C18 C18, degrees, start text, C, end text and 20.6C20.6 C20, point, 6, degrees, start text, C, end text? What is active voice? Which paragraph best supports the idea that finding King Tutankhamun's tomb required a lot of time and money?A-paragraph 3B-paragraph 5C-paragraph 9D-paragraph 12 Mandarin speakers, can someone please help me fix this? It has many grammar mistakes pls help me asap!! NEED HELP ASAP1) Is Sulfur a metal or nonmetal? _______________________2) Which family is Calcium in? _________________________3) What is the Elements name for the element that has the atomic number 72?_______________________________________________________________4) What is the atomic mass of Thallium? _________________________5) What are all the atomic symbols for the Noble gases?__________________________________________________________________________________________________________________________________________________________________________________________________________________6) What are all the Elements names in the metalloids?__________________________________________________________________________________________________________________________________________________________________________________________________________________7) What are all the atomic masses for the Actinides?__________________________________________________________________________________________________________________________________________________________________________________________________________________8)How many protons does Arsenic have? __________________9) How many electrons does Radium have? ________________10) How many neutrons does Nickel have? ________________ SUPER URGENT ANSWER BOTHHHHH QUESTIONSI WILL DEF MARK BRAINLYESTREAD CARFULLY! The diameter of a circle is 4 miles. What is the circle's circumference? The speed of sound in hydrogen is about 3.9 times its speed in air. If its speed inhydrogen is almost 1287 m/s, what is its speed in air? If one of yall know the answer could you please tell me I would really appreciate it What is the area of a semicircle with a diameter of 10 cm? how many stings does it take to kill me 38. By the commutative property, 3(w +9) isequivalent to which expression?A. 3w + 9B. 3w + 27C.D. 3(9+ w) Read about Lewis Hine, a Progressive photographer. Then visit this gallery and choose at least three different photos that provoke a strong reaction from you. In the table, note the titles of the photos you chose and describe and reflect on the conditions depicted in each photo. One example has been provided for you. Describe the requirements for voting in the U.S. How have the rules changed over time? Use facts and details with at least 2 paragraphs. If you write out the numbers from 0 to 40, how many times would you write the digit 3? which triangle is the most similar to triangle ABC? How many of the numbers between 8 and 65 are a multiple of 7?A) 5 B) 6C) 7D) 8