Angle
x
= 076° and angle
y
= 111°.
Find the bearing of point A from point O.
The bearing of point A from point O is 256°.
What are bearings?In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.
Given that, angle x= 076° and angle y = 111°.
Now, the bearing of point A from point O is
180°+ 076°
= 256°
Therefore, the bearing of point A from point O is 256°.
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Ricardo has 2 cases of video games with the same number of games in each case. He gives 4 games to his brother. Ricardo has 10 games left. How many video games were in each case?
Answer:7 games
Step-by-step explanation:2 cases= x games
you give 4 or 2 from each case
divide 10 by 2 and get 5 them add 2 to your answer and get 7 GAMES
BOOM!!
J and M are base angles of trapezoid JKLM. If measure J is 4x+1 and measure M is 12x-95, find measure K and show your work!
Since J and M are base angles of trapezoid JKLM, the measure of k is 168°.
What is an isosceles trapezoid?The base angles of an isosceles trapezoid are congruent and equal. This ultimately implies that, an isosceles trapezoid has base angles that are always equal in magnitude.
By equating the given base measures of isosceles trapezoid JKLM, we can determine the specific value of x and angle k as follows;
m∠J = m∠M
4x + 1 = 12x - 95
By re-arranging and collecting like terms, we have the following:
12x - 4x = 95 + 1
8x = 96
By dividing both sides of the equation by 8, we have the following:
x = 96/8
x = 12.
Therefore, the measure of k is given by:
m∠k = 180 - 12
m∠k = 168°.
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A circular plot of land has a diameter of 6ft. if the walkway around this piece of land has a width of 2x, what is the total area of the land and walkway combined?
The area of the circle, as a function of x, will be:
A(x) = 3.14*(3ft + 2x)²
What is the total area of the land and walkway combined?We know that for a circle of radius R, the area is:
A = pi*R²
Where pi = 3.14
In this case we have a circular plot of land with a diameter of 6ft, then the radius (half of that) is:
R = 6ft/2 = 3ft
And then we have a walkway with a width of 2x, then the radius of the circle that includes the walkway is:
R' = 3ft + 2x
Replacing that in the area equation we will get:
A(x) = 3.14*(3ft + 2x)²
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Jerry baked 5 apple pies to share equally among 3 of his friends. Jerry thinks each friend will get 3/5 of an apple pie. Do you agree? Support your answer
Yes, 3 apple pies divided among 5 people
Now, According to the question:
"Information available from the question"
Apple shared equally
Portion of each person = 3/5
A possible way that shows how the pies were shared.
7/5 is the ration of the pie to each individual (Jerry and his friends).
Provided that each individual got equal ration....
The ration can be divided into two
The numerator = 3
The denominator = 5.
The numerator shows the number of things that were shared.
Hence, 3 apples were shared.
The denominator shows the number of people involved.
Hence, 5 people were involved.
So, we can conclude that 3 apples were divided among 5 people.
Hence, 3 apple pies divided among 5 people.
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Tenisha Gist has a sheet of brass that is 36 inches wide and cuts two pieces that are each 8 3/4 inches wide. What is the width of the leftover brass?
The width of the leftover brass is 18 1/2 inches.
How to determine the width of the leftover brass?From the question, we have the following parameters that can be used in our computation:
Initial length = 36 inches
Length of each piece = 8 3/4 inches
The width of the leftover brass is then calculated as
Width = Initial length - 2 * Length of each piece
substitute the known values in the above equation, so, we have the following representation
Width = 36 - 2 * (8 3/4)
Evaluate
Width = 18 1/2
hence, the width is 18 1/2 inches
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in any 15-minute interval, there is a 20% probability that you will see at least one shooting star. what is the probability that you see at least one shooting star in the period of an hour
So, the probability that you see at least one shooting star in the period of an hour is 59.04%.
The probability of seeing at least one shooting star in a 15-minute interval is 20%, so the probability of not seeing a shooting star in that interval is 80%. The probability of not seeing a shooting star in an hour-long period is the product of the probability of not seeing a shooting star in each of the four 15-minute intervals, which is 0.8 * 0.8 * 0.8 * 0.8 = 0.4096 or 40.96%. Therefore, the probability of seeing at least one shooting star in an hour-long period is 1 - 0.4096 = 59.04%.
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in a scientific research, a statistical test resulted in a -value of 0.026. match each value with the correct decision. (a) do not reject h0 (b) reject h0
Any p-value less than 0.05 is a cause to reject the null hypothesis.
What is Null Hypothesis?
The statement "The null hypothesis is a claim about population parameter that is assumed to be false until it is declared false" is false. The null hypothesis is denoted by H0 assumes that the claim you are trying to prove did not happen. It is a claim about a population parameter that is assumed to be true until it is declared false.
In this case, 0.015 is the only option for p-value that would lead to a rejection of the null hypothesis (if the level of significance for the test is 0.05).
Any p-value less than 0.05 is a cause to reject the null hypothesis.
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use the given frequency distribution to find the (a) class width. (b) class midpoints of the first class. (c) class boundaries of the first class.
(a)The class width = 3
(b) The class midpoint of the first class = 51
(c) The class boundaries of the first class = (49.5, 52.5)
Consider the frequency distribution in the following image.
We know that in frequency distribution the class width is nothing but the distance between the lower limits of consecutive classes.
Whereas the range is the difference between the maximum and minimum data entries.
The smallest number is 50, and the largest is 62.
So the range is 62 - 50 = 12
We know that the formula for the class width:
Class width= upper limit – lower limit +1
So, the class width = 52 - 50 + 1
= 3
The formula for the midpoint of each class:
midpoint = (lower limit of class + upper limit of class)/2
Let us assume that m be the midpoint of the first class.
Using above formula of midpoint:
m = (50 + 52)/2
m = 51
We know that the class boundaries are nothing but the end points of an open interval which contains the class interval.
So, the class boundaries of the first class = (49.5, 52.5)
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Term to term rule is subtract 2 and multiply 4 the third term is 248 what is the two previous term
The two previous terms of 248 are 64 and 18.
A term-to-term rule is a rule that will describe calculating the following terms of a sequence given by the previous term.
In the given problem, the rule is to subtract 2 and multiply by 4.
Considering that the third term is 248. we can utilize the rule to figure out the subsequent term.
248 = (4 * (x - 2))
248 = 4x - 8
256 = 4x
x = 64
So the subsequent term is 64.
To find the initial term, we can utilize a similar rule once more
64 = (4 * (x - 2))
64 = 4x - 8
72 = 4x
x = 18
So the initial term is 18.
Therefore, the two previous terms of 248 are 64 and 18.
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jacy arrnanged cans on a store shelf. there are 126 cans in all. jacy makes rows of 6 cans how many rows will she make?
Answer:
126 cans in total / 6 cans per row
126/6 = 21 rows of cans
A) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
32
A
X
B
C
D
Work out the size of angle x.
(4)
+
PLEASE HELP ME I AM REALLY STUCK!!!
The size of angle x = 46 degree.
Now, According to the question:
A triangle in which at least two sides are equal is called an isosceles triangle. Following this fact, if two sides of a triangle are equal, then the angles opposite to those sides are also equal.
"Information available from the question"
Since Δ ABC is equilateral then interior angles = 60°
Since CE = DE then Δ CDE is isosceles and the base angles are congruent,
So,
∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74 degree
BCD is a straight line, then the 3 angles on it sum to 180°, that is
60° + 74° + x = 180°
134° + x = 180° ( subtract 134° from both sides )
Hence, The size of angle x = 46°
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In a certain city, each block is about 275
meters long. If the post office is 13 blocks
away from the library, approximately how
many miles is it from the post office to the
library? Round your answer to the nearest
tenth. Step-by-step
If the post office is 13 blocks away from the library and each block is 275 meters, approximately, the distance from the post office to the library, in miles, is 2.2 miles.
How is the distance or number of miles determined?To determine the distance or the number of miles from the post office to the library, we use unit conversions and mathematical operations (multiplication and division).
Using multiplication, the number of blocks is converted to meters.
The distance is converted from meters to miles by division.
The distance of a block in the city = 275 meters
The number of blocks from the library to the post office = 13 blocks
The distance from the post office to the library = 3,575 meters (13 x 275)
1,609.34 Meters = 1 Miles
The distance in miles from the post office to the library = 2.2 miles (3,575/1,609.34)
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Photo attached. Please help.
Answer:
There is no real solution set for this equation
Step-by-step explanation:
We have
[tex]\sqrt{2x-1}+7=4[/tex]
Move 7 to the right side:
[tex]\sqrt{2x-1}+7-7=4-7\\\\\sqrt{2x-1}=-3\\\\[/tex]
If we treat 2x - 1 as a function f(x) then we are getting
[tex]\sqrt{f(x)} = -3\\\\[/tex]
But the square root of a function cannot be negative for real values of x
Hence there is no real solution set
Mr.Honkenberg I planning for hi Superbowl party.If he he buy 18 chicken wing for $15 what i the cot of the wing in wing per dollar?
The cost of the wings per dollar is 1.2 wings per dollar ($15 / 18 wings = $0.83 per wing). The cost of 18 wings is $15. To calculate the cost of the wings per dollar, divide the total cost of the wings ($15) by the number of wings (18).
1. Divide the total cost of the wings ($15) by the number of wings (18).
2. The result of this calculation is the cost of each wing ($15 / 18 = $0.83).
3. Divide 1 by the cost of each wing ($1 / $0.83 = 1.2 wings per dollar).
The cost of 18 wings is $15. To calculate the cost of the wings per dollar, divide the total cost of the wings ($15) by the number of wings (18). This calculation will give the cost of each wing ($15 / 18 = $0.83). To find the number of wings per dollar, divide 1 by the cost of each wing ($1 / $0.83 = 1.2 wings per dollar). This means that for every dollar spent, 1.2 wings can be purchased.
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Dan is a software salesman. His monthly salary is $1800 plus an additional $60 for every copy of English is Fun he sells.
Let S represent his total salary this month (in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating S to N, and then graph your equation using the axes below.
The linear function relating S to N is given as follows:
S(n) = 1800 + 60n.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the parameters are given as follows:
m is the slope, representing the amount earned for each extra copy.b is the intercept, representing the base monthly salary.The parameter values for this problem are given as follows:
m = 60, b = 1800.
Hence the function is defined as follows:
S(n) = 1800 + 60n.
The function is graphed on the image given at the end of the answer.
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In an isosceles triangle, the length of sides b and c are 8. The length of median B is 7. Find the length of the base of the triangle
The length of the base is 2√15 units. The median of an isosceles triangle divides the triangle into two equal parts.
What is an isosceles triangle?
An isosceles triangle in geometry is a triangle with two equal-length sides. It can be specified as having exactly two equal-length sides or at least two equal-length sides, with the latter definition including the equilateral triangle as an exception.
A median in a triangle is a line that runs from one corner (or vertice) to the centre of the other side. Triangle congruence makes it easy to demonstrate an isosceles triangle's property that the median to the base is perpendicular to the base.
According to the Pythagorean theorem,
AD² + BD² = AB²
7² + BD² = 8²
BD² = 64 - 49
BD² = 15
BD = √15
The median divides the base into two equal parts.
The length of the base is 2√15.
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In which situation is the distance traveled proportional to time?
Answer:
Step-by-step explanation:
honolululuulu
The ratio of the measures of the angles of a triangle is 5:7:9. How many degrees is the largest angle? Round answer to the nearest whole number.
please help giving 20 points
Answer:
well the best I can say is maybe multiply all of the numbers
Step-by-step explanation: The first stepunderstanding[tex]5 \times 7 \times 9 = x \div 3[/tex]
second stepproving35*9=x÷3
315÷3
just do the 315÷3 and you should get an answer
PLEASE HELP FINAL QUESTION TO UNIT TEST
A company makes cars at two factories. Some of the cars need repairs in the first year and some do not. This two-way frequency table shows the proportion of cars at each factory that need repairs or do not need repairs in the first year.
Which conclusions can be made from this table?
Select each correct answer.
Responses
Compared to Factory A, Factory B has a larger percentage of cars that do not need repairs.
Compared to Factory A, Factory B has a larger percentage of cars that do not need repairs.
More cars from Factory B need repairs than do not need repairs in the first year.
More cars from Factory B need repairs than do not need repairs in the first year.
For both factories, more cars need repairs than do not need repairs in the first year.
For both factories, more cars need repairs than do not need repairs in the first year.
Among cars from Factory A, a larger percentage of cars do not need repairs than do need repairs in the first year.
Among cars from Factory A, a larger percentage of cars do not need repairs than do need repairs in the first year.
Need repairs in first year Do not need repairs in first year
Factory A 0.05 0.95
Factory B 0.02 0.98
The conclusions that can be made from this table include:
Compared to Factory A, B has a larger percentage of cars that do not need repairs.Among cars from factory A, a larger percentage of cars do not need repairs than do need repairs in the first yearHow to explain the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
From the information, factory A for those who need repairs is 0.05 in the first year. In this case, among cars from factory A, a larger percentage of cars do not need repairs than do need repairs in the first year.
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work out 16^3/2 ??????????????????????
Answer:
2048
Step-by-step explanation:
Find out what [tex]16^{3}[/tex] is:
16x16x16 =
4096.
Now lets divide it by 2:
4096/2 =
2048.
2048 would be your answer to your problem.
Castanea received the first 2 of Christopher Paolini's books from the inheritance cycle and was very excited to start reading them over the winter break. The first book - Eragon - had 530 pages.
Castenea reads 1 page every 72 seconds How long in hours : minutes : seconds, did it take her to finish the book?
(Example: A total of 6264 seconds is equal to 1 hour 44 minutes 20 seconds)
Castanea finished Eragon on the 3rd day of her break and continued to the 2nd book "Eldest". If she continued to read at the same rate, and it took a total of 14 hours 8 minutes and 24 seconds to finish reading "Eldest", how many pages were in Eldest (the second book) ?
Using arithmetic operations it is found that -
It took Castenea 10 hours and 36 minutes to finish the first book Eragon.
The number of pages in Castenea's second book Eldest is 707.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
The number of pages in Eragon is = 530 pages
The rate for Castanea's reading is = 1 page/72 seconds
The time taken by Castanea to finish the first book is -
Time Taken = Number of Pages × Time taken to read 1 page
Use the arithmetic operation of multiplication.
Substitute the values in the equation -
Time Taken = 530 × 72
Time Taken = 38160 seconds
To convert seconds into minutes use the arithmetic operation of division.
38160 / 60 = 636 minutes
To convert minutes into hour use the arithmetic operation of division.
636 / 60 = 10.6 hour
Therefore, it took Castanea 10 hours 36 minutes to finish the first book.
The time took by Castanea to finish the second book = 14 hours 8 minutes and 24 seconds
To convert hours into minutes use the arithmetic operation of multiplication.
14 × 60 = 840 minutes
To convert minutes into seconds use the arithmetic operation of multiplication.
848 × 60 = 50880 seconds
Use the arithmetic operation of addition to get the total seconds -
50880 + 24 = 50904 seconds
The rate for Castanea's reading is = 1 page/72 seconds
The number of pages in Castanea's second book is -
Number of Pages = Time Taken in total/Time taken to read 1 page
Use the arithmetic operation of division.
Substitute the values in the equation -
Number of Pages = 50904/72
Number of Pages = 707
Therefore, there were seven pages in the second book.
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Solve the system of linear equations by substitution. 4x−2y=14 y=1/2x−1
4x−2y=14
Step-by-step explanation:
Answer:
The solution to the system of linear equations is x = 4, y = 1.
Step-by-step explanation:
Given system of linear equations:
[tex]\begin{cases}4x-2y=14\\y=\dfrac{1}{2}x-1\end{cases}[/tex]
To solve the system of linear equations by the method of substitution, substitute the second equation into the first equation:
[tex]\implies 4x-2\left(\dfrac{1}{2}x-1\right)=14[/tex]
Solve the equation for x:
[tex]\implies 4x-x+2=14[/tex]
[tex]\implies 3x+2=14[/tex]
[tex]\implies 3x=12[/tex]
[tex]\implies x=4[/tex]
Substitute the found value of x into the second equation and solve for y:
[tex]\implies y=\dfrac{1}{2}(4)-1[/tex]
[tex]\implies y=2-1[/tex]
[tex]\implies y=1[/tex]
Therefore, the solution to the system of linear equations is:
x = 4, y = 1A locker measurement at the bottom as 2 one by 6 ft 2, side as 1 and a half ft, and length as 2 2 by 3 ft.
*Picture not drawn to scale
What is the volume of the file cabinet?
The volume of file cabinet is equal to 26 / 3 cubic feet.
How to determine the volume of the file cabinet
The statement let us infer that file cabinet has the form of right prism with rectangular base, whose formula is shown below:
V = b · h · l
Where:
V - Volume, in cubic feet.b - Base width, in feet.h - Height, in feet.l - Base length, in feet.If we know that b = 2 1 / 6 ft (13 / 6 ft), h = 1 1 / 2 ft (3 / 2 ft) and l = 2 2 / 3 ft (8 / 3 ft), then the volume of the file cabinet is:
V = (13 / 6 ft) · (3 / 2 ft) · (8 / 3 ft)
V = 26 / 3 ft³
RemarkStatement present an anomalous character "2", correct statement is introduced below:
A locker measurement at the bottom as 2 1 / 6 ft wide, 1 1 / 2 ft high and 2 2 / 3 ft long.
Picture is missing but question can be solved by inferential approach.
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What is 3.5 as a fraction in simplest form
Answer:
Mixed Number: [tex]\frac{7}{2}[/tex]
Regular [tex]3\frac{1}{2}[/tex]
Explantion \/ \/
On a team, 3 girls and 2 boys scored a total of 27 points. The difference between the number of points scored by the 3 girls and the number of points scored by the 2 boys is 15. Each girl scored the same number of points, and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Answer: Let x be the number of points scored by each girl and y be the number of points scored by each boy.
We know that:
3x + 2y = 27 (the total number of points scored by the 3 girls and 2 boys)
3x - 2y = 15 (the difference between the number of points scored by the girls and the number of points scored by the boys)
We can use the second equation to find the value of one of the variables and substitute it into the first equation.
3x - 2y = 15
3x = 15 + 2y
Substitute this into the first equation:
(15 + 2y) + 2y = 27
2y = 12
y = 6
Now that we know that each boy scored 6 points, we can substitute that back into the second equation to find the number of points each girl scored:
3x - 2y = 15
3x - 2(6) = 15
3x = 27
x = 9
So each girl scored 9 points and each boy scored 6 points.
Step-by-step explanation:
On a team have 3 girls and 2 boys
Let say each girl points scored=x
Let say each boy points scored=y
Total scored by 3 girls and 2 boys =27
3x +2y=27----------1
The difference between points of 3 girls and 2 boys =15
3x-2y=15---------2
Solve equation 1 and 2
From 2nd equation
we can rewrite as :
3x=15+2y---------3
Submit 3rd equation in 1st equation.
15+2y+2y=27
4y=27-15
4y=12
y=3
Therfore, each boy points scored=3
For find each girl scored points
Submit y=3 in 1st equation.
3x+2(3)=27
3x=27-6
3x=21
x=7
Therfore, each girl points scored=7
Therfore,number of points each boy scored by =3points
Therfore,number of points each girl scored by =7points
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a rectangular photograph is placed in a frame that forms a border two inches wide on all sides of the photograph. the photograph measures $8$ inches high and $10$ inches wide. what is the area of the border, in square inches?
The area of the border is 72 square inches - 80 square inches = -8 square inches.
What is rectangle ?
A rectangle is a four-sided geometric shape with four right angles. The opposite sides of a rectangle are of equal length and parallel to each other, and the opposite angles are equal. The length and width of a rectangle are its two dimensions, with the length being the longer side and the width being the shorter side.
To find the area of the border, subtract the area of the photograph from the total area of the photograph and the frame. The total area of the photograph and the frame is the area of the frame (which is just the border) plus the area of the photograph.
The area of the photograph is 8 inches * 10 inches = 80 square inches
The area of the frame is the perimeter of the photograph (28 + 210) multiplied by the width of the border, which is 2 inches. So the area of the frame is 2*(28 + 210) = 2*36 = 72 square inches.
Therefore, the area of the border is 72 square inches - 80 square inches = -8 square inches.
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Part 3: Put It All Together- The table below lists the costs and prices for four businesses involved in
making, distributing, and selling bread. Use the information to answer the questions below.
Cost of Inputs
$0
$0.50
$1.50
$2.25
Price of Output
$0.50
$1.50
Farmer Fred
Baker Bob
Trucker Tom
$2.25
Retail Rob
$3.50
16. Calculate the GDP using value-added approach. Explain how you got your answer.
The GDP using value added approach is $3.50
How to calculate the GDP?GDP using value added approach is calculated by obtaining the sum total of value added by each production unit.
Value added by Farmer Fred = Price of output - Cost of inputs = $0.50 - $0 = $0.50
Value added by Baker Bob = Price of output - Cost of inputs = $1.50 - $0.50 = $1.00
Value added by Trucker Tom = Price of output - Cost of inputs = $2.25 - $1.50 = $0.75
Value added by Retail Rob = Price of output - Cost of inputs = $3.50 - $2.25 = $1.25
GDP = Value added by Farmer Fred + Value added by Baker Bob + Value added by Trucker Tom + Value Added by Retail Rob
GDP = $0.50 + $1.00 + $0.75 + $1.25
GDP = $3.50
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Part A
Tom's house cost $100000 in the year 2000.
In 2008 he sold his house for $125000. Was the change in price a positive or negative change?
Answer:
Positive
V
Part B
What was the percentage of change in the price of the house?
Answer:
%
There was a 125% change in the price of the house.
The answer can be deduced to be above 100% because the revised price represented an increase from the initial 100,000.
Tom's house cost $100000 in the year 2000.
In 2008 he sold his house for $125000.
Whatever the case, in order to solve this problem,
you must divide 100,000 by 125,000 to discover the answer. 125,000/100,000=1.25.
Then 1.25 can be converted to 125%.
So, There was a 125% change in the price of the house.
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4hk/20h^2k in simplest form
The simplified form of the expression 4hk/20h²k is 1/5h.
What is the simplified form of the expression?Given the expression in the question;
4hk / 20h²k
To simplify, first cancel out the common factor of 4 and 20.
4hk / 20h²k
4(hk) / 4(5h²k)
hk / 5h²k
Next, cancel out the common factor of h and h²
h(k) / h(5hk)
k / 5hk
Now, cancel out the common factor of k
k(1) / k(5h)
1/5h
Therefore, the simplified form is 1/5h.
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