The dimensions of the poster are 17 inches by 4 inches.
Let's assume the width of the rectangular poster is represented by "x" inches.
According to the given information, the length of the poster is 9 more inches than two times its width. So, the length can be represented as 2x + 9 inches.
The area of a rectangle is given by the formula: Area = Length * Width.
Substituting the given values, we have:
68 = (2x + 9) * x
To solve this equation, we can start by simplifying the equation:
68 = 2x^2 + 9x
Rearranging the equation to bring all terms to one side, we get:
\(2x^2 + 9x - 68 = 0\)
To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. In this case, factoring is not straightforward, so we can use the quadratic formula:
x = (-b ± √\((b^2 - 4ac\))) / (2a)
In the equation\(2x^2 + 9x - 68 = 0,\) the values of a, b, and c are:
a = 2
b = 9
c = -68
Substituting these values into the quadratic formula, we get:
x = (-9 ± √\((9^2 - 42(-68)))\) / (2*2)
Simplifying further:
x = (-9 ± √(81 + 544)) / 4
x = (-9 ± √625) / 4
x = (-9 ± 25) / 4
Now, we can calculate the two possible values for x:
x1 = (-9 + 25) / 4 = 16 / 4 = 4
x2 = (-9 - 25) / 4 = -34 / 4 = -8.5
Since the width cannot be negative, we discard the negative value of x.
Therefore, the width of the rectangular poster is 4 inches.
Now, we can calculate the length using the expression 2x + 9:
Length = 2(4) + 9 = 8 + 9 = 17 inches.
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PLEASE HELP PLEASE!!!!
I need this asap I need to turn it in like an hour 25points
Answer:
c. 36 people
pls mrk me brainliest
Answer:
The answer would indeed be C. 36 people.
Does 4.5, 6, and 7.5 make a right triangle?
Answer:
yes.
Step-by-step explanation:
Will mark brainliest!
Find the area of the triangle.
Answer:
the answer is 43.5. i am a 100% sure.
Step-by-step explanation:
pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
Help me please ????????
seen 2 pretty best friends
ⓘ
Step-by-step explanation:
8 bc
16) an airplane is approaching Seattle international airport. the pilot begins a 13 degree angle of decent starting from a height of 500 ft. What is the distance (x) from the plane to the airport?
17) Find the value of x to the nearest tenth
I WILL GIVE BRAINLIEST ONLY IF BOTH QUESTIONS ARE ANSWERED!!
Answer: The distance (x) from the plane to the airport is approximately 2.2 miles.
Step-by-step explanation: The tangent function relates the opposite side of a right triangle to its adjacent side. In this case, we can use it to find the distance (x) from the plane to the airport.
To calculate x, we first need to convert 500 ft to miles. Since there are 5,280 feet in a mile, 500 ft is equal to 0.0947 miles.
Next, we use the tangent function to find x. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, we know that the angle of descent is 13 degrees and that the opposite side is x (the distance from the plane to the airport), and we just calculated that the adjacent side is 0.0947 miles. So we can set up an equation:
tan(13 degrees) = x / 0.0947 miles
To solve for x, we can multiply both sides by 0.0947 miles:
0.0947 miles * tan(13 degrees) = x
Plugging this into a calculator gives us:
x = 0.023 miles
Finally, we round this value to the nearest tenth of a mile:
x ≈ 2.2 miles
So, the distance from the plane to the airport is approximately 2.2 miles.
Hope this helps, and have a great day!
A department store buys 100 shirts at a cost of $2700 and sells them at a selling price of $30 each. Find the percent markup.
Answer:
11.1%
Step-by-step explanation:
buy 100 shirts at 2700
each shirt = 2700/100 = $27
sell at $30 each
mark up = (30-27)/27 = 3/27 = 1/9 = 11.1%
Answer:
300 profit
Step-by-step explanation:
confused as how to solve this one
Answer:
48,36,27,81/4,243/16
Step-by-step explanation:
a1 = 48
a5=an=243/16
n=5
now
r= common ratio
48r⁴=243/16
or, r⁴ = 243/16/48
or, r⁴ = 243/16 × 1/48
or, r⁴ = 81/256
or, r = 3/4
so
a2 = 48×3/4
= 36
a3 = 36×3/4
=27
a4= 27×3/4
= 81/4
\(x2 = \frac{9}{256} \)
I don't understand this at all
It is an equation, telling you that left side of = is same as right side and asking you to solve it (figure out the x).
\(x^2=\frac{9}{256}\)
Apply square root on both sides of the equation to get rid of power on x.
\(x=\pm\sqrt{\frac{9}{256}}\)
Now simplity the square root.
\(x=\pm\frac{\sqrt{9}}{\sqrt{256}}=\boxed{\pm\frac{9}{16}}\)
Hope this helps.
Is it appropriate to use the geometric distribution to
calculate probabilities in this situation?
a medical device company knows that the percentage
of patients experiencing injection-site reactions with
the current needle is 11%. a nurse will collect data by
performing injections with this type of needle until five
people experience injection-site reactions.
yes, the geometric distribution is appropriate.
no, since each trial is not independent of the other
trials.
no, because it is not looking for the first occurrence
of success.
no, since the probability of success is not the same
for each of the trials.
The hypergeometric distribution should not be used, hence the correct option is given by:
no, because it is not looking for the first occurrence of success.
When the hypergeometric distribution should be used?These two conditions should be respected:
We should be looking for the probability of x successes on n trials, not the number of trials until n successes.The trials should not be independent, that is, the probabilities on each trial should be different.None of these conditions are true in this case, hence the correct option is given by:
no, because it is not looking for the first occurrence of success.
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Please answer this question now
Answer:
Surface area of a cone = 461.58 In²
Step-by-step explanation:
Surface area of a cone = πrl + or
Surface area of a cone = πr(r+l)
Where r = radius
Radius= diameter/2
Radius=14/2
Radius= 7 inch
And l slant height= 14 inch
Surface area of a cone = πr(r+l)
Surface area of a cone = π*7(7+14)
Surface area of a cone = 7π(21)
Surface area of a cone = 147π
Surface area of a cone = 461.58 In²
A wall of a building is made from blocks that are each 1 cubic foot. The wall is 6 feet high and 6 feet wide. A window is made by removing some blocks as shown below. The window is 2 feet high by 2 feet wide. The wall is 6 feet high and 6 feet wide. The window is 2 feet high by 2 feet wide and is cut from the center of the wall. Suppose the wall is expanded to be 12 feet high by 12 feet wide, and the window is expanded to be 4 feet high by 4 feet wide. How will this change the volume of the wall? A. The volume will not change. B. The volume of the wall will double. C.
When the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.
Volume of the wallThe volume of the wall is determined as follows;
V = h x w x t
where;
t is the thickness of the wallh is height of the wallw is width of the wallInitial volume of the wall when some blocks are removed to make a window is 2 feet high by 2 feet wide.
V1 = (6 - 2) x (6 - 2) x (t)
V1 = 16t ft³
Second volume of the wall when some blocks are removed to make a window is 4 feet high by 4 feet wide.
V2 = (12 - 4) x (12 - 4) x (t)
V2 = 64t ft³
V2 = 4(16t ft³)
V2 = 4(V1)
Thus, when the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.
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What is the length of the line segment whose endpoints are (-1,5) and (3,-3)? Round your answer to the nearest tenth.
Answer:
4√5
Step-by-step explanation:
The length=√(3--1)²+(-3-5)²
l=√(4)²+(-8)²
l=√16+64
l=√80=4√5
a rectangular pyramid has a base that is 9 yards long and 9 yards wide. the pyramid slant height is 7 yards. what is its surface area?
Answer: Its surface area is 230.8!
Now, I'm not sure if you want it rounded to the nearest whole number, but if so, it's 231. Both answers work depending on your choices.
A tree has a shadow that is 9 feet long. Otis is 4 feet tall, and he is standing next to the tree. Otis has a shadow that is 4.5 feet long.
Answer:
8 ft
Step-by-step explanation:
We can use ratios to solve
tree Otis
-------------------- = --------------
tree shadow Otis shadow
tree 4 ft
-------------- = ----------------
9 ft 4.5 ft
Using cross products
4.5 tree = 4* 9
4.5 tree = 36
Divide each side by 4.5
tree = 36/4.5
tree =8
help appreciated thanks
Answer:
No
Step-by-step explanation:
x=(b-5)/c≠(5-b)/c
supposedly
b=6
c=1
x=6-5/1=1
x=5-6/1= -1
1≠ -1
Answer:
No
Step-by-step explanation:
x = b - 5 / L equal to - (5 - b) / L
What's an irrational number between 5 and 7
Answer: An irrational number between 5 and 7 is the square root of 35 (which is = 5.9160797831.....). This number can't be expressed as a terminating decimal. Your welcome :))
Step-by-step explanation:
Put the numbers in order from least to greatest.
4.27, 2.704, 4.2, 2.74, 4.72
Answer: 2.704 2.74 4.2 4.27 4.72
Step-by-step explanation:
Evaluate the expression. 6÷−3
Answer:
-2
Step-by-step explanation:
Kimaya decided to by mangos and pineapples for her snack this week.
Mangos, m, cost $1.50 each. Pineapples, p , cost $3.00 each. She wants to spend $18
Here is Kimaya's work to solve 1.5m+3p=18:
1.5m+3p-3p=18-3p
1.5m/1.5=18-3p/1.5
m=12-2p
1. What does the 12 and -2 say about the situation
2. Solve 1.5m+3p=18 for p
If Kimaya does not buy any Pineapple then the cost of the Mangos will be 12 and for p the equation is p = 6 - 0.5m.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Mangos, m, cost $1.50 each. Pineapples, p, cost $3.00 each. She wants to spend $18
1.5m+3p=18
After solving:
m = [1/1.5](18 - 3p)
m = 12 - 2p
If Kimaya does not buy any Pineapple then the cost of the Mangos will be 12 and -2 represents the slope.
m = 12 - 2p
p = 6 - 0.5m
Thus, if Kimaya does not buy any Pineapple then the cost of the Mangos will be 12 and for p the equation is p = 6 - 0.5m.
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what's greater -9/11 or -5/8
Answer:
-9/11 > -5/8
Step-by-step explanation:
jack bought 200 canned drinks to sell at his food and. the profit, y dollars, from the sale of the canned drinks as a function of the number of cans sold, x, is represented by the equation y=1.25x-100. How many cans must jack secc to recoup the cost of buying 200 canned drinks?
Answer:
To recoup the cost of buying 200 canned drinks, Jack needs to make a profit of zero, meaning that the revenue from selling the drinks needs to equal the cost of buying them.
Let's start by setting the profit equation equal to zero and solving for x:
0 = 1.25x - 100
1.25x = 100
x = 80
Therefore, Jack needs to sell 80 cans of drinks to recoup the cost of buying 200 canned drinks.
Step-by-step explanation:
If one card is drawn from a deck, find the probability of getting these results:
A. An ace
B. A diamond
C. An ace of diamonds
D. A red queen
Answer:
A. P(ace) = 4/52 = 1/13
B. P(diamond) = 13/52 = 1/4
C. P(ace of diamonds) = 1/52
D. P(red queen) = 2/52 = 1/26
Did I graph this equation right?
Equation: P=125+50w
Answer:
yes
Step-by-step explanation:
You want a graph of P = 125 +50W.
Slope-intercept formThe given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.
Axes assignmentsUsually, the independent variable is graphed on the horizontal axis, which you have done.
The dependent variable is graphed on the vertical axis, which you have done.
The axes are correctly labeled and graduated.
InterceptThe "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.
SlopeThe slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.
Yes, you properly graphed the equation.
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What is the value of x for 3x + 10=2x – 1 ?
Answer:
-11
Step-by-step explanation:
3x+10=2x-1
3x-2x+10=-1
x+10=-1
x=-1-10
x=-11
Answer:
x = -11
Step-by-step explanation:
Rearrange unknown terms to the left side of the equation: 3 x - 2 x = -1 - 10
Combine like terms: x = -1 - 10
Calculate the sum: x = -11
Final answer: x = -11
Plz help I’m getting timed
Answer:
Hi your answer is D
Step-by-step explanation:
count them trust me!
brainnliest?
Answer:
Your Answer is 12
Step-by-step explanation:
A cube has 12 Edges
A Rectangular Prism has 12 Edges
3 cups, 3 ounces = ____ fl oz.
Answer:
27 fl oz.
Step-by-step explanation:
.1428 rounded to the nearest thousandth
Rounding a number means changing its value to a number that is closer to a certain level of precision or a certain place value. When we round a number, we usually specify the level of precision or place value that we want the rounded number to have. For example, we might want to round a number to the nearest whole number, to the nearest tenth, or the nearest thousandth.
The process of rounding involves looking at the digit in the place value that we want to round to and using the digit to the right of it to determine whether to round up or down.
Rules of Rounding:
If the digit to the right of the place we are rounding to is 5 or greater, we round up. If the digit to the right of the place we are rounding to is less than 5, we round down.The place values to the right of the decimal point, or the right of one's place in number, are called decimal places. The decimal places are numbered starting from the tenth place, which is one place to the right of the decimal point. The next place to the right is the hundredth place, followed by the thousandth place, and so on.
The third place to the right of zero is the thousandth place. When rounding to the nearest thousandth we have to look at the fourth decimal place to see whether it must be rounded up or down. The fourth digit is an 8 which is greater than 5. So we must round the thousandth place up.
This gives us 0.143, rounded to the nearest thousandth.
i need one more smart person plezzz
Answer:
Interior: 135 degrees
Exterior: 45 degrees
Step-by-step explanation:
The interior angle of a regular octagon is exactly 135 degrees, which can be found using the (n – 2)180 formula. The exterior is simply 180 - the interior, which is 45. :)
Answer:
whadda say
Step-by-step explanation:
interior angle: (n-2)×180°
exterior angle: (n-2)÷180°