If you get a perfect score of 100% on both assignments, your overall grade in the class would be 100%.
To calculate your grade, we need to consider the weight of each assignment.
Since each assignment is worth 5% of your grade, we can calculate the contribution of the assignments to your overall grade.
The total weight of the two assignments is 2×5% = 10%.
To find the impact of the assignments on your grade, we multiply your average score on the assignments (100%) by their weight (10%):
Contribution from the assignments = 100% * 10% = 10%
Since you currently have a grade of 79, the remaining 90% of your grade is based on other assessments, tests, or assignments.
To calculate your overall grade, we add the contribution from the assignments to the remaining 90%:
Overall grade = 90% + 10% = 100%
Therefore, if you get a perfect score of 100% on both assignments, your overall grade in the class would be 100%.
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Because of improved technology and
public-service campaigns, the number of
collisions at highway-railroad crossings per year
has declined since 2001 (see the table to the
right). Let n be the number of collisions (in
thousands) for the year that is t years since
2000. Complete parts a through e below.
Number of Collisions at Highway-Railroad
Crossings
Year
2001
2003
2005
2007
2009
2011
Number of collisions
(thousands)
3.2
3.0
3.1
2.8
1.9
2.0
The estimated number of collisions in 1998 is 4,262.
The n-intercept of 8.06 represents the estimated number of collisions at highway-railroad crossings in the year 1980
We have,
n = -0.211t + 8.06
a. To estimate the number of collisions in 1998, we need to find the value of n when t = 1998 - 1980 = 18. Substitute this value into the equation:
n = -0.211(18) + 8.06
n ≈ -3.798 + 8.06
n ≈ 4.262
Therefore, the estimated number of collisions in 1998 is 4,262.
b. The n-intercept of the linear model represents the value of n when t = 0. Let's substitute t = 0 into the equation and solve for n:
n = -0.211(0) + 8.06
n ≈ 8.06
In this situation, the n-intercept of 8.06 represents the estimated number of collisions at highway-railroad crossings in the year 1980, which is the starting point of the time frame under consideration.
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Bellos are the prices for the blender 9000 at the three different stores. All 3 stores have the sale tax rate as discount rate
1. The tax rate is 5%.
2. The discounted rate is 24.9%.
What is the tax rate and discounted rate based on Bed, Bath and Beyond?Let x be the tax rate as a decimal.
The discounted price = Original price * The discount rate (1 - discount percentage). The discounted price is:
26.63 = 35.50 * (1 - discount percentage)
Solving discount percentage
Discount percentage = 1 - (26.63 / 35.50)
Discount percentage = 0.249
Discount percentage = 24.9%.
To get tax rate, we will: Total price = discounted price + (discounted price * tax rate).
27.96 = 26.63 + (26.63 * x).
Solving for x
x = (27.96 - 26.63) / 26.63
x = 0.04994
x = 0.05
x = 5%.
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What is the meaning of "it is the concept of the set of all sets that is paradoxical, not the idea of comprehension itself"?
The statement you provided refers to a concept known as Russell's paradox in set theory.
What is Russell's paradox?The paradox arises when we consider the set of all sets that do not contain themselves as elements. If we assume such a set exists, we can define a paradoxical set, often denoted as R, which contains all sets that do not contain themselves.
The statement you provided is suggesting that the paradox arises from the concept of the set of all sets, rather than from the concept of comprehension itself.
The , in set theory, refers to the idea of defining a set by specifying a property or condition that its elements must satisfy. The paradox does not arise from the idea of defining sets in this way but rather from the specific concept of the set of all sets.
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Stephaine puts 30 cubes in a box. The cubes are 1/2 on each side. The box holds 2 layers with 15 cubes in each layer. Whats the volume of the box
Explanation:
Each cube has side length 1/2. The volume of each smaller cube is (1/2)^3 = 1/8 cubic units.
The box holds 2 layers and 15 cubes per layer. There are 2*15 = 30 cubes total. The total volume of all 30 cubes is 30*(1/8) = 30/8 = 15/4 = 3.75 cubic units, which also represents the volume of the box.
5 You are having a cake walk. One walker reaches the finish
line every 15 seconds. A second walker reaches the finish line
every 20 seconds. How many seconds must go by before they
both land on the same cake finish line?
Answer:
5 seconds
Step-by-step explanation:
20-15= 5 seconds
What is the area of the trapezoid?
9 cm
6 cm
4
15 cm
3 cm
As per the given details, the area of the trapezoid is 112.5 cm².
The lengths of the two parallel sides and the height are required to determine the area of a trapezium. In this instance, the metrics are as follows:
Base 1 = 9 cm
Base 2 = 6 cm
Height = 15 cm
Area = (Base 1 + Base 2) * Height / 2
Area = (9 + 6) x 15 / 2
Area = 15 x 15 / 2
Area = 225 / 2
Area = 112.5 cm²
Thus, the answer is 112.5 cm².
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please help! thank uu ~ :)
Answer:
The word or phrase that describes the probability that Arianna will roll a number between 1 and 6 (including 1 and 6) is "certain." The reason for this is that a standard six-sided die always has a number between 1 and 6 on each face, and if the die is fair and unbiased, then the probability of rolling a number between 1 and 6 is 1, or 100%. Therefore, option (b) "certain" is the correct choice.
In a town, 60% of the police officers have ride-alongs with teenagers who want to join the police force. 258 police officers have ride-alongs. How many police officers are there altogether?
The total police officers there altogether given the percentage of police officers who have ride-alongs with teenagers is 430.
How many police officers altogether?Percentage of police officers who have ride-alongs with teenagers = 60%
Number of Percentage of police officers who have ride-alongs = 258
Total police officers = x
So,
(Percentage of police officers who have ride-alongs with teenagers) of (Total police officers) = (Number of Percentage of police officers who have ride-alongs)
60% of x = 258
0.6 × x = 258
0.6x = 258
divide both sides by 0.6
x = 258/0.6
x = 430
Ultimately, there are 430 police officers altogether.
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i need help on how to do this.
5. The probability that the sample mean weight is greater than 3.55 kilograms is about 0.1230.
6. The probability that less than 20% of the sample is from poverty-level households is about 0.2119.
What is the probability?The probability that the sample mean weight is greater than 3.55 kilograms is determined as follows;
The standard error of the mean is determined using the formula:
SE = σ/√nwhere;
σ is the population standard deviationn is the sample sizeSE is the standard error of the mean.Substituting the given values:
SE = 0.5/√15
SE ≈ 0.1291
The z-score corresponding to this value will be:
z = (3.55 - 3.4) / 0.1291
z ≈ 1.16
Using a calculator, the probability of a z-score being greater than 1.16 is about 0.1230.
6. The standard error of a proportion is determined using the formula:
SE = √[p(1-p)/n]where;
p is the population proportion,n is the sample size, andSE is the standard error of the proportion.Substituting the given values:
SE = √[0.22(1-0.22)/300]
SE ≈ 0.0251
The z-score corresponding to this value will be:
z = (0.20 - 0.22) / 0.0251
z ≈ -0.80
Using a calculator, the probability of a z-score being less than -0.80 is about 0.2119.
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Solve for x. Round to the nearest tenth of a
degree, if necessary.
to
8
K
6.2
Answer:
Step-by-step explanation:
Answer:
50.8
Step-by-step explanation:
name me brainliest please.
Ada realized she had 2 more quarters than she had originally thought in her pocket, if all of the change in his quarters and it totals to $8.75. how many quarters did he originally think we're in his pockets?
The number of quarters he originally think we're in his pocket is 33.
We are given that;
More quarters she had= 2
Total= $8.75
Now,
Let’s name that number x.
We can translate the table into an equation by equating the total value of the quarters to $8.75:
0.25(x + 2) = 8.75
To solve this equation by simplifying and isolating x:
0.25x + 0.5 = 8.75 0.25x = 8.25 x = 33
The answer by plugging it back into the equation:
0.25(33 + 2) = 8.75 0.25(35) = 8.75 8.75 = 8.75
This makes sense, so we have the correct answer. 7.
Therefore, by algebra the answer will be 33.
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secx csc x = 2 csc x
Answer:
Step-by-step explanation:
[tex]\frac{1}{cosx} . \frac{1}{sinx} =\frac{2}{sinx}\\ \frac{1}{cosx} . \frac{1}{sinx} - \frac{2}{sinx} = 0\\\frac{1}{sinx}(\frac{1}{cosx} - 2) = 0\\\frac{1}{cosx} = 2\\cosx = \frac{1}{2} \\x = 60[/tex]
Find lower and upper bounds for the area between the x-axis and the graph of f(x) = √x+3
over the interval [-1, 1] by calculating left-endpoint and right-endpoint Riemann sums with 4
subintervals. The graphs of L4 and R4 are given below.
√x+3 is an increasing function, the minimum value is L4 and the maximum value is R4.
Since we are given 4 subintervals, the width of each subinterval is:
Δx = (b - a) / n = (1 - (-1)) / 4 = 1/2
where a = -1 and b = 1 are the endpoints of the interval.
Now, L4 = f(-1)Δx + f(-1/2)Δx + f(0)Δx + f(1/2)Δx
= √2/Δx + √3/Δx + √3/Δx + √4/Δx
= (2√2 + 2√3 + 2√4) / Δx
= 10(2√2 + 2√3 + 2√4)
and, the right endpoint Riemann sum,
R4 = f(-1/2)Δx + f(0)Δx + f(1/2)Δx + f(1)Δx
= √3/Δx + √3/Δx + √4/Δx + √5/Δx
= (2√3 + 2√4 + 2√5) / Δx
= 4(√3 + 2√4 + √5)
Since √x+3 is an increasing function, the minimum value is L4 and the maximum value is R4.
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Mr.Blackwell’s class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 6 are purple, 3 are yellow, 7 are green, and the rest are black, what is the probability of drawing a purple and yellow if the marbles are not replaced after they are picked?
Answer:
Step-by-step explanation:
To find the probability of drawing a purple and yellow marble without replacement, we need to determine the number of favorable outcomes (purple and yellow marbles) and the total number of possible outcomes.
Step 1: Determine the number of purple marbles:
The given information states that there are 6 purple marbles.
Step 2: Determine the number of yellow marbles:
The given information states that there are 3 yellow marbles.
Step 3: Determine the total number of marbles:
The given information states that there are 25 marbles in total.
Step 4: Calculate the probability of drawing a purple and yellow marble:
When drawing without replacement, the probability of two events occurring is the product of their individual probabilities.
The probability of drawing a purple marble is: 6 purple marbles / 25 total marbles = 6/25.
After drawing a purple marble, the total number of marbles remaining is 24 (since one purple marble is already drawn).
The probability of drawing a yellow marble from the remaining marbles is: 3 yellow marbles / 24 remaining marbles = 3/24.
To find the probability of both events occurring (drawing a purple and yellow marble), we multiply their individual probabilities:
Probability of drawing a purple and yellow marble = (6/25) * (3/24) = 18/600 = 3/100.
Therefore, the probability of drawing a purple and yellow marble without replacement is 3/100.
Find the length of the third side of each triangle.
Answer:
The length of the third side is 1 unit.
Step-by-step explanation:
Because this is a right triangle, we can use the Pythagorean theorem to solve for the hypotenuse.
Pythagorean theorem: a² + b² = c², where variables a and b are the legs of the triangle and c is the hypotenuse
We are going to let a = (12/13) and b = (5/13), though the order does not particularly matter in this case. We are going to plug and play with the theorem, and then simplify as we go.
[tex](\frac{12}{13})^{2} + (\frac{5}{13})^{2} = c^{2}\\\\\frac{144}{169} + \frac{25}{169} = c^{2}\\\\\frac{144 + 25}{169} = c^{2}\\ \\ \frac{169}{169} = c^{2}\\\\1 = c^{2}\\\\\sqrt{1} = \sqrt{c^{2}} \\\\c = 1[/tex]
4. The table shows a preference schedule with four candidates. Under the plurality method, which (1 point)
candidate wins the election?
number of votes 15 11 9 6 2
1st
2nd
3rd
OA
OB
OC
OD
ACDBC
B
B
CDD
D|A|A|A|A|
Candidate A would win the election using the plurality method.
According to the given preference schedule, the number of votes and the corresponding preferences are as follows:
Candidate A: 15 (1st preference: A, 2nd preference: D, 3rd preference: B)
Candidate B: 11 (1st preference: D, 2nd preference: C, 3rd preference: A)
Candidate C: 9 (1st preference: B, 2nd preference: C, 3rd preference: A)
Candidate D: 6 (1st preference: C, 2nd preference: D, 3rd preference: A)
Candidate E: 2 (1st preference: C, 2nd preference: D)
To determine the winner using the plurality method, we look at the candidate with the highest number of first preference votes.
In this case, Candidate A has 15 first preference votes, which is the highest.
Therefore, Candidate A would win the election using the plurality method.
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Y
-5-3
g(x)
3
2
√ ? ? + 4
Mark this and return
-2-
-3
Which input value produces the same output value for
the two functions on the graph?
O x=-1
O x=0
O x = 1
O x = 2
Save and Exit
Next
Submitting
The input value which produces the same output values for the two functions in the graph is x=1
To determine which input value produces the same output value for two functions on a graph
we need to find the x-coordinate(s) where the two functions intersect or have the same y-coordinate.
x=1 is the input value which produces the same output values for the two functions in the graph
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Please help soon I will give brainliest
The statements that is missing is " 2x -6 +10x = 15 + 5x and this step is justified by the distributive property.
What is distributive property?According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
For example, (2x+6) ( 5x +4) is thesame as
2x( 5x+4) 6( 5x +4)
This law is called distributive property.
Similarly, Julian solving should go like this;
2( x -3) + 10x = 5( 3+x)
2x -6 +10x = 15 +5x
collecting like terms
2x -5x +10x = 15 +6
= 7x = 21
x = 3
Therefore the statement that shows the Missing step is 2x -3 +10x = 15+ x and it is justified by distributive property.
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Determine whether each pair of triangles are similar. Justify your answer.
1. Triangles ABC and DEF are not similar
2. Triangle JMN and JKL are similar
3. Triangle ABC and XYZ are similar
4. Triangle PQR is not similar to RST
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.
For two angles to similar, the corresponding angles must be equal and the ratio of corresponding sides are equal.
1. 30/24 is not equal to 24/18, therefore the two triangles are not similar.
2. Since MN is parallel to KL then
M = K ( corresponding angles) , therefore the two triangles are similar.
3. 22/33 = 30/45
= 2/3 = 2/3
therefore the two triangles are similar.
4. 10/4.5 is not equal to 9/5
therefore the two triangles are not similar.
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NO LINKS!!!
answer all 3!!!!
easy brainliest!!
Answer:
Step-by-step explanation:
1) DE = 6/sin63 = 6.7
DF = 6/tan63 = 3.1
m∠E = 180 - 90 - 63 = 27°
2) tan30 = 1/√3 = UV / (27√10)
UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30
3) cosV = 3/8
cos⁻¹(3/8) = 68
m∠V = 68°
Find the value of X. X =
The value of x in the line intersection is 60.
How to find the angles of a line?When line intersect, angle relationships are formed such as linear angles, vertical angles etc.
Therefore, lets use the angle relationship to find the value of x in the line intersection.
Hence,
2x - 10 + 2x + 40 + 90 = 360(sum of angles in a point)
2x - 10 + 2x + 130 = 360
4x + 120 = 360
4x = 360 - 120
4x = 240
divide both sides by 4
x = 240 / 4
x = 60
Therefore,
x = 60
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Which point represents the ordered pair (−3, 0)?
Point E
Point F
Point G
Point H
Answer:
Step-by-step explanation: -3 is on the x-axis so you have to put your point at the left ,and 0 is the Y-axis. When is is zero that means that x stays on its line.
E is the correct answer.
By drawing a diagram, determine the distance travelled south and the distance travelled
east by a plane flying on a bearing of 140 degrees for 90km
Sure, here is a diagram of a plane flying on a bearing of 140 degrees for 90km:
[Image of a plane flying on a bearing of 140 degrees for 90km]
The distance traveled south is 60km and the distance traveled east is 53.5km.
To calculate the distance traveled south, we can use the following formula:
distance = (90km * sin(140 degrees)) / 180 degrees
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This gives us a distance of 60km.
To calculate the distance traveled east, we can use the following formula:
distance = (90km * cos(140 degrees)) / 180 degrees
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This gives us a distance of 53.5km.
Solve for m/CDF.
E
66°
D
с
Answer:
∠CDF = 48°
Step-by-step explanation:
∠CDE = ∠EDF + ∠CDF
Given that,
∠CDE = 114°
∠EDF = 66°
So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.
∠CDF = ∠CDE - ∠EDF
∠CDF = 114 - 66
∠CDF = 48°
Choose the fraction that goes in the blank. six over ten >_______> one over two A one over two B one over four C two over three D three over four
Six over ten >_three over four__> one over two
D three over four.
To determine the fraction that goes in the blank, we need to compare the fractions six over ten and one over two.
To compare fractions, we can either find a common denominator or convert them into decimal form.
Let's go with the decimal approach.
To convert six over ten into a decimal, we divide 6 by 10, which equals 0.6. Similarly, for one over two, dividing 1 by 2 gives us 0.5.
Now, we can see that 0.6 is greater than 0.5.
Since six over ten is greater than one over two, we need to find a fraction that is greater than 0.6 but less than 0.5.
Among the given options, the only fraction that fits this criterion is three over four (option D).
To confirm this, let's convert three over four into a decimal.
Dividing 3 by 4 gives us 0.75, which is greater than 0.6 and less than 0.5.
Therefore, we can conclude that the correct fraction to fill in the blank is three over four (D).
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kelvin and Fiona had 600 postcards altogether, after Kelvin donated 2/7 of his postcards and Fiona gave away 120 of her postcards, they had the same numbet of postcards left. how many postcards did they have left in total?
Kelvin and Fiona had a total of 200 + 200 = 400 postcards left together. Let's assume that Kelvin had x postcards initially. Fiona would then have (600 - x) postcards since they had a total of 600 numbers postcards altogether.
After Kelvin donated 2/7 of his postcards, he would have (1 - 2/7)x = (5/7)x postcards left.
Fiona gave away 120 postcards, so she would have (600 - x - 120) = (480 - x) postcards left.
According to the problem, both Kelvin and Fiona had the same number of postcards left. Therefore, we can set up an equation:
(5/7)x = 480 - x
Multiplying both sides of the equation by 7 to eliminate the fraction, we get:
5x = 3360 - 7x
Combining like terms, we have:
12x = 3360
Dividing both sides by 12, we find:
x = 280
So, Kelvin initially had 280 postcards, and Fiona had (600 - 280) = 320 postcards.
After Kelvin donated 2/7 of his postcards, he had (5/7) * 280 = 200 postcards left.
After Fiona gave away 120 postcards, she had (320 - 120) = 200 postcards left.
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Shanti brought five and four-sixths pounds of shrimp to the seafood boil. James brought four and one-half pounds of crawfish. Roberto brought six and five-eighths pounds of crab. How many pounds of seafood were at the boil?
The pounds of seafood at the boil was 10 37/40 pounds
What is a fraction?A fraction is defined as the part of a whole number, a whole element or a whole variable.
The types of fractions are listed as;
Mixed fractionsSimple fractionsComplex fractionsImproper fractionsProper fractionsFrom the information given, we have that;
5 4/5 + 4 1/2 + 5/8, all in pounds
convert the mixed fraction to improper fractions, we have;
29/5 + 9/2 + 5/8
Find the lowest common factor, we have;
232 + 180 + 25 /40
Add the values
437/40
Divide the values
10 37/40 pounds
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Help me please 20 points
5. The probability that exactly four adults out of 19 say cashews are their favorite nut is approximately 0.252.
6. The probability that 12 or more stolen bikes will be returned out of 335 is approximately 0.181.
How to calculate the probabilitya. Probability of exactly four adults saying cashews are their favorite nut:
n = 19 (number of trials)
k = 4 (number of successes)
p = 0.49 (probability of success)
Using the formula, we have:
P(X = 4) = (¹⁹C₄) * 0.49⁴ * (1 - 0.49)¹⁵
Calculating the binomial coefficient:
((¹⁹C₄) = 19! / (4! * (19 - 4)!) = 3876
Calculating the probability:
P(X = 4) = 3876 * 0.49⁴ * (1 - 0.49)¹⁵ ≈ 0.252
b. Probability that 12 or more stolen bikes will be returned:
n = 335 (number of trials)
k = 12, 13, ..., 335 (number of successes, from 12 to 335)
p = 0.03 (probability of success)
We want to find the sum of probabilities for k = 12 to 335.
P(X ≥ 12) = P(X = 12) + P(X = 13) + ... + P(X = 335)
Calculating each probability:
P(X = k) = (³³⁵C k) * [tex]0.03^{k}[/tex] * (1 - 0.03) [tex]^{335 - k}[/tex]
Calculating the binomial coefficients for each k:
(³³⁵ C ₁₂) = 335! / (12! * (335 - 12)!) ≈ 7.27587e+22
(³³⁵ C ₁₃) = 335! / (13! * (335 - 13)!) ≈ 2.21733e+23
...
(³³⁵ C ₃₃₅) = 335! / (335! * (335 - 335)!) = 1
Calculating the probabilities and summing them up:
P(X ≥ 12) ≈ P(X = 12) + P(X = 13) + ... + P(X = 335) ≈ 0.181
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which statement is true of the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2
The statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.
Given, two functions y = -2f(x) = 1/x
To determine whether the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true or false, we need to find the value of Y for both functions when x = -2.
Substituting x = -2 in the functions we get:I would ask y = -2(-2) = 4f(-2) = 1/(-2) = -1/2Therefore, the Y value of the function I would ask is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2. Hence, the given statement is true.
Therefore, the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.
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A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1080 feet of fencing material, what should be the length and width of the field?
The width of the field is 230 feet and the length is 310 feet.
Let's denote the width of the field as "x" feet.
The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.
To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:
2(length) + 2(width) = perimeter
Substituting the given values:
2(x + 80) + 2(x) = 1080
2x + 160 + 2x = 1080
4x + 160 = 1080
4x = 920
x = 920/4
x = 230
Therefore, the width of the field is 230 feet.
Now we can find the length by adding 80 feet to the width:
Length = Width + 80 = 230 + 80 = 310 feet.
So, the width of the field is 230 feet and the length is 310 feet.
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