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 four x minus four x
Answers
Answer:
0
Step-by-step explanation:
4x minus 4x
you multiply 4x and get 0. Then you subtract both 0 which equals 0. Hope this helped
Answer:
0
Step-by-step explanation:
4x - 4x = 0
Clark, Kasalyn, and Carson wrote an equation of a line with a slope of -5 that passes through the point at (-2,4). Is either of them correct? Explain your reasoning.
I. Clark's Equation
y-4= -5(x-(-2))
II. Kasalyn's Equation
y= -5x-6
III. Carson's Equation
-2x - 4y= -5
A. Student's I and II are correct
B. Student's I and III are correct
C. Student's II and III are correct
D. All are correct
E. None are correct
Answers
Evaluate. a-b if a = 1/4, b = 2/5x, please show work
Answers
Answer:
1/4 does equal 2/5
Step-by-step explanation:
what is the scale factor of the following figure which shows triangle A dilated to triangle B?
A. 8/2 = 4/1 = 4
B. 2/8=1/4= 0.25
C. 6/3=2/1=2
D. 3/6=1/2=0.5
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Answer:
B. 2/8=1/4= 0.25 ? I don't really know I'm failing class
Answer: I dont know if it is, but B right?
Is this a Right Triangle 9 m, 15 m, 17 m
Yes or No?
Answers
Answer:
No it would not be because two sides added up would not equal the other side
Step-by-step explanation:
Answer:
No it is not.
Step-by-step explanation:
All right triangles follow the Pythagorean theorem [tex]a^2+b^2=c^2[/tex] where the squares of the two shorter sides of the right angle triangle is equivalent to the square of the longest side.
Squares of the two shorter sides:
[tex]9^{2}+15^{2}=306[/tex]
Square of the longer side:
[tex]17^{2}=289[/tex]
∵ [tex]306\neq 289[/tex], ∴ the triangle is not a right angle triangle.
I hope this helps :)
Isaac's favorite cereal is running a promotion that says 1-in-4 boxes of the cereal contains a prize. Suppose that Isaac is going to buy 6 boxes of this cereal, and let X represent the number of prizes he wins in these boxes. Assume that these boxes represent a random sample, and assume that prizes are independent between boxes. What is the probability that he wins exactly 2 prizes in the 6 boxes?
Answers
Answer: 0.3 on khan academy
Step-by-step explanation: ♂️
The probability that he wins exactly 2 prizes in the 6 boxes is to be considered as the 0.30.
Calculation of the probability:Since Isaac's favorite cereal is running a promotion that says 1-in-4 boxes of the cereal contains a prize this mean
So,
P(box containing prize) = 1/4 = p =0.25
So,
q=1 - p
= 0.75
And total box (n)=6
Let us assume x be number of prize win.
So,
Probability that he will win exactly two prize is
P(X=2)= [tex]\binom {6}{2}(0.25)^2(0.75)^4[/tex]
= 0.2966
=0.30(approx)
hence, The probability that he wins exactly 2 prizes in the 6 boxes is to be considered as the 0.30.
Learn more about probability here: https://brainly.com/question/24760080
HELP PLEASE ASAP DUE IN 10 MIN ASAP PLEASEEEEE
Answers
Answer:
delete this
Step-by-step explanation:
WILL GIVE BRAINLIEST TO CORRECT ANSWER
find -8/15 * 20/64
A. -1 over 6
B. 1 over 6
C. 2 over 3
D. -2 over 3
Answers
Answer:
A. -1 over 6
Step-by-step explanation:
[tex]-\frac{8}{15}[/tex] × [tex]\frac{20}{64} = -\frac{160}{960}[/tex] [tex]-\frac{160}{960} = -\frac{1}{6}[/tex]I hope this helps!
Answer:
-1 over 6
Step-by-step explanation:
-8
15
×
20
64
=
-8 × 20
15 × 64
=
-160
960
=
-160 ÷ 160
960 ÷ 160
=
– 1
6
so the answer is a
The length of a rectangle is 1 foot less than twice the width. If the area is 45 ft2, find the length and width.
Question 8 options:
A)
Width = 9, length = 10
B)
Width = 9∕2, length = 10
C)
Width = 4, length = 7
D)
Width = 5, length = 9
Answers
Answer:
Step-by-step explanation:
Simplify
2(x+7) 2x + 20
- 2 =
x+4
2x + 8
Answers
Answer:
x = -20
Step-by-step explanation:
2(x+7) 2x + 20 - 2 = x+4 2x + 8
2x+14 + 2x + 20 - 2 = x + 4 + 2x + 8
4x +32 = 3x + 12
x = -20
What is 30% of 60? A. 0.18 B. 1.8 C. 18 D. 180
Answers
Answer:
C ) 18 hope this helps !!!
Answer:
C. 18
Step-by-step explanation:
If you multiply 30%, or .3 by 60, you get 18.
19. Jake thinks of a secret number. He says that his secret number is more than 6 units away from 2. Write a
compound inequality that gives the possible values of Jake's number. Graph the inequality.
Answers
f(x) = x2 - 460x + 42000
Answers
Answer:
y = -42000 + 460x + -1x2
Step-by-step explanation:
Lines a and b are parallel. Line c is a transversal. FInd the measures of all angles formed by a, b, and c, given each scenario. One of the angles measures 150 degrees.
Answers
Answer:
30° and 150°
Step-by-step explanation:
Given
Parallel lines a and b
Transversal c
Angle = 150°
Required
Determine the list of possible angles
A transversal divides a parallel line into two measure which add up to 180°
Given that one of the angles is 150°, the other angle would be 180° - 150°
Other angle = 180° - 150°
Other angle = 30°
Aside 30° and 150°, there's no other possible angle that can be formed by the given information
Answer:
30 and 150
Step-by-step explanation:
Given
Parallel lines a and b
Transversal c
Angle = 150°
Required
Determine the list of possible angles
A transversal divides a parallel line into two measure which add up to 180°
Given that one of the angles is 150°, the other angle would be 180° - 150°
Other angle = 180° - 150°
Other angle = 30°
Aside 30° and 150°, there's no other possible angle that can be formed by the given information
what is the avrage of 4.1 ,6 ,1.3 6.5 ,1.6
Answers
Answer:
3.36
Step-by-step explanation:
4.1 +6 +1.3+6.5 +1.6=16.8
16.8/5=3.36
In order to get the answer you add everything up and then divide from the amount of numbers there are.
2n – 32 = 10(n - 8) what is the answer
Answers
Answer:
n = 6
Step-by-step explanation:
2n - 32 = 10n - 80
2n - 10n = -80 + 32
-8n = -48
-48/-8 = 6
an energy rich compound such as sugar
Answers
Answer:
Sugars provide living things with energy and act as substances used for structure. When sugars are broken down in the mitochondria, they can power cell machinery to create the energy-rich compound called ATP (adenosine triphosphate).
Step-by-step explanation:
Hope this helps you
Rob has a collection of 800 baseball cards. 30% of the cards feature pitchers. 42% of the cards feature infielders. The remaining cards feature outfielders. How many cards in Rob’s collection feature outfielders?
Answers
Answer:
224
Step-by-step explanation:
If 45% of a number is 63 and 35% of the same number is 49, find 80% of that number.
Answers
Answer:
Step-by-step explanation:
1) Let the number be y
45%of y=63
45y/100=63
Y=6300/45
Y=140
So 80%of a number =80y/100
=80×140/100
=112.
Let the number be y
35%of y=49
35y/100=49
Y=4900/35
Y=140
So 80%of a number =80y/100
=80×140/100
=112.
who can help me on my math homework for 10 points asp
Answers
Answer:
the answer would be C
Step-by-step explanation:
because it has to be bigger than 1/8
PLEASE HURRY, IT'S URGENT 6th grade lvl
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of a gallon of gas to go 1 mile.
a.How far can the car travel with 15 gallons? Show your reasoning.
b. How much gas does the car use to go 100 miles? Show your reasoning.
Answers
Answer:
ITS 295
Step-by-step explanation:
ITS 295
Find the values of x and y.
X= __
Y= __
Answers
Answer:
x = 20
y = 100
Step-by-step explanation:
To figure out x do this.
3x + 2x = 7x - 40 (collect like terms)
5x = 7x -40 (subtract 7x on both sides)
-2x = -40 (divide by -2 on both sides)
x = 20
Plug in to get y
Since 7x - 40 and y are vertical they equal the same amount
7(20) - 40 = y (multiply 7 by 20)
140 - 40 = y (collect like terms)
100 = y
Hope this helps ya! Keep smiling!
Brianna is getting materials for a chemistry experiment. Her teacher gives her a container that has 0.55 liter of liquid in it. Brianna needs to use 0.2 of this liquid for the experiment.
How much liquid will Brianna use?
Answers
pleaseeee help and fast !
Answers
Determine if the equations are parallel, perpendicular or neither. -9y=-3x+18 and 2x-6y=30
Answers
Answer:
The answer is They are parallel
Step-by-step explanation:
They have the same slope but different y-intercepts
y = 1/3x - 2
y = 1/3x - 30
pls mark me as brainliest
Answer: Parallel
Step-by-step explanation: They never cross therefore making the two equatons parallel lines
Answer quick please!
Answers
Please help me(ik it’s not C)
Answers
I think the correct answer is B :)
Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. How many batches are made with 15 cups of red paint?
Answers
Answer:
Step-by-step explanation:
7
help plz as soon as possible
Answers
expand the linear expression 6 (7m+2)
Answers
Step-by-step explanation:
6(7m+2)
Distribute
6*7m +6*2
42m +12
