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:
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
Related Questions
What is the value of c?
Answers
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.
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%
Please help me out!!!!!
Answers
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]
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
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Given: AB ∩ CD ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate: Vertical angle to ∠GOB: ____________
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Answer:
The verticle angle to GOB is AOF.
Step-by-step explanation:
Look at the picture, it's pretty clear
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
Evaluate: 21x: 8 when x = 4*
Answers
Answer:
10.5
Step-by-step explanation:
21(4) / 8
84 / 8
10.5
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
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
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:
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
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!
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
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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:
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
Brainliest 5 stars Thanks! (running out of time and points sorry)
Answers
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
write 56.78 correct to one significant number
Answers
Answer:
60
Step-by-step explanation:
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
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
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
Determine the values of X
Answers
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
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
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:
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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:
K : (5,2)
L : (4,5)
-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
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
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:
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I need help on the word problem with
Answers
hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj
Answer: x>11
Step-by-step explanation: