Converted (a) 2.2 kg = 77.6 oz, 4.83 lbm. (b) 12 lbf/in2 = 82.7 kPa, 620.6 mmHg. (c) 160 hp = 119,360 cal/s, 88,000 Btu/s. (d) 82 gallons = 328 quarts, 313,981.8 mL. (e) 34 in = 0.8636 m, 86.36 cm.
What is conversion factor ?
A conversion factor is a ratio of two equivalent measurements used to convert a quantity from one unit to another.
(a) To convert 2.2 kg to ounces, we can use the conversion factor 1 kg = 35.274 oz. So, 2.2 kg = 2.2 * 35.274 oz = 77.6 oz. To convert 2.2 kg to lbm, we can use the conversion factor 1 kg = 2.205 lbm. So, 2.2 kg = 2.2 * 2.205 lbm = 4.83 lbm.
(b) To convert 12 lbf/in2 to kPa, we can use the conversion factor 1 lbf/in2 = 6.894 kPa. So, 12 lbf/in2 = 12 * 6.894 kPa = 82.7 kPa. To convert 12 lbf/in2 to mmHg, we can use the conversion factor 1 lbf/in2 = 51.715 mmHg. So, 12 lbf/in2 = 12 * 51.715 mmHg = 620.6 mmHg.
(c) To convert 160 hp to cal/s, we can use the conversion factor 1 hp = 746 cal/s. So, 160 hp = 160 * 746 cal/s = 119,360 cal/s. To convert 160 hp to Btu/s, we can use the conversion factor 1 hp = 550 Btu/s. So, 160 hp = 160 * 550 Btu/s = 88,000 Btu/s.
(d) To convert 82 gallons to quarts, we can use the conversion factor 1 gallon = 4 quarts. So, 82 gallons = 82 * 4 quarts = 328 quarts. To convert 82 gallons to mL, we can use the conversion factor 1 gallon = 3785.4 mL. So, 82 gallons = 82 * 3785.4 mL = 313,981.8 mL
(e) To convert 34 in to m, we can use the conversion factor 1 in = 0.0254 m. So, 34 in = 34 * 0.0254 m = 0.8636 m. To convert 34 in to cm, we can use the conversion factor 1 in = 2.54 cm. So, 34 in = 34 * 2.54 cm = 86.36 cm.
Converted (a) 2.2 kg = 77.6 oz, 4.83 lbm. (b) 12 lbf/in2 = 82.7 kPa, 620.6 mmHg. (c) 160 hp = 119,360 cal/s, 88,000 Btu/s. (d) 82 gallons = 328 quarts, 313,981.8 mL. (e) 34 in = 0.8636 m, 86.36 cm.
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What type of triangle has side lengths of 8cm 8cm and 10cm?
A triangle with the given measure of side length 8cm, 8cm , and 10cm is an isosceles triangle with two sides of equal measure.
As given in the question,
In the given triangle,
Measure of side length of a triangle is given by :
8cm, 8cm , and 10cm
Longest side = 10cm.
But ( 8)² + (8)² ≠ (10)²
It is not right angled triangle as does not satisfied the Pythagoras theorem.
8cm = 8cm.
Here in the given triangle two side length of the triangle are of same measure.
It represents it is an isosceles triangle.
Therefore, the given triangle side length represents it is an isosceles triangle with two sides of equal measure.
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A line passes through the point (4,8) and has a slope of 5. Write and equation in point slope form
Answer:
y - 8 = 5(x -4)
Step-by-step explanation:
(4,8) 4 is the x value and 8 is the y value.
You subtract 8 from y and subtract 4 from x. The slope is after the equal sign.
Answer:
Step-by-step explanation:
The point slope form is y- y₁ = m(x - x₁)
m is the slope or 5 here.
It is given that (x₁ , y₁) = (4, 8)
Just put the values there.
y - 8 = 5(x - 4)
5x - 40 - y + 8 = 0
5x - y - 32 = 0
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An Isosceles triangle and a square have the same perimeter. Find the side lengths of the triangle.
triangle base: 3x
triangle height: 2x+1
square length: 4
Answer: 5, 5, 6
How you get this answer?
If the perimeters are the same. Then the dimension of the triangle will be 5, 5, and 6.
What is the perimeter of the geometry?The peripheral of a form is defined in mathematics as the entire length of its boundaries. The surrounding of a form is calculated by summing the lengths of all the vertices and edges that surround it. It is measured in linear quantities like cm, meters, inches, and feet.
Let 'x' be the isosceles sides and the 'y' be the third side. Then the equation is given as,
x + x + y = 4 × 4
2x + y = 16
2x + y = 2(5) + 6
Then the dimension of the triangle will be 5, 5, and 6.
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Sadie is 63.5 inches tall. if 2.54 cm equals 1 inch, what is sadie's height in centimeters?
a. 5.29 cm
b. 25 cm
c. 161.29 cm
o d. 635 cm
plssss help
The centimeter equivalent of Sadie's height is 142.875 cm.
(63.5×2.25) cm.
= 142.875 cm.
Why is the absolute value of 5 and 5 the same answer?
The absolute value of a number is the distance of that number from 0 on the number line. Since 5 and -5 are both 5 units away from 0, the absolute value of both numbers is 5. Therefore, |5| = |-5| = 5.
The absolute value of a number is a non-negative value that represents the distance of that number from zero on the number line. It is denoted by two vertical bars "||" surrounding the number. For example, the absolute value of 5 is written as |5|.
For positive numbers, the absolute value is simply the number itself. For example, |5| = 5.
For negative numbers, the absolute value is the numerical value of the number but with the opposite sign. For example, |-5| = 5.
In other words, the absolute value of a number removes any negative sign and gives the distance of the number from 0, regardless of its sign. So, the absolute value of 5 is 5 and the absolute value of -5 is also 5. They are the same distance from 0 on the number line.
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Explain the significance of standard error and 2 different sets of data with different sample sizes that have the same Mean (in terms of precision).
The significance of standard error and 2 different sets of data with different sample sizes that have the same Mean is explained below.
The term mean in math is known as the process of adding all numbers in the data set and then dividing by the number of values in the set.
Here we have know that the significance of standard error and 2 different sets of data with different sample sizes that have the same Mean in terms of precision.
And then it is defined as standard error is a measure of precision.
Where on the other hand it defines a way to better understand data and it also helps to understand how far the data is spread throughout the graph.
As for example while we take his first set had a sample size of two then while his second set had a sample size of 10.
Hence the first sample set had more precision, or a higher standard error.
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i opened a grocery account at my bank with $150. every week thereafter, i withdraw $85 from the account to pay for groceries. if x is the number of weeks i've had the account, then y is the amount in the account. find an equation of a line in the form y
The equation of a line in the form y is y = 150 - 85x.
This equation can be used to determine the amount of money in the grocery account at any given week, x. To solve, we will use the information given in the question.
We know that the initial amount in the account is $150. This is the y-intercept of the line. Therefore, 150 = 150 - 85x. Solving this equation for x, we get x = 0. This means that at week 0 the account has a balance of $150.
Next, we know that money is withdrawn from the account every week. We can use this information to solve for the slope of the line. We know that every week $85 is withdrawn from the account, so the slope of the line is -85. Therefore, the equation of the line is y = 150 - 85x.
Using this equation, we can determine the amount in the account at any given week. For example, at week 5, y = 150 - 85(5) = $25. This means that the account has a balance of $25 at week 5.
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Does anyone know how to delete a question?
To delete a question, if you are using a web browser, please click on the dots next to the question to locate the option to eliminate them.
What is deleting something from the web?Deleting something from the web is to mean you are removing that thing due to any reason. When you delete a file, it is removed from the location where it is stored.
If your hard disk is the storage location, the file gets relocated to the Recycle Bin. The file is destroyed if the storage place is a disk, CD, or network location.
Therefore, if you are using a web browser, please click on the dots next to the question to locate the option to delete them.
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Adding and subtracting mixed fractions
Answer:
what do yuo mean by adding and subtracting mixed fractions
what number represents an area receiving several weeks (to months) of constant daylight during their summer?
The number that represents an area receiving several weeks (to months) of constant daylight during their summer is 10.
The number 10 is typically found at latitudes above the Arctic Circle (about 66.5 degrees North) during the summer solstice, the longest day of the year.
During the summer solstice, the tilt of the Earth's axis is such that the North Pole is tilted towards the sun, providing more direct sunlight to areas within the Arctic Circle. This results in several weeks to months of constant daylight, known as the "midnight sun."
On the other hand, areas south of the Antarctic Circle, which is located at about 66.5 degrees South latitude, experience "polar night" or 24-hour darkness during the winter solstice.
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1. which game are the men playing? chess dominoes poker 2. what kind of cuban food is shown? fried plantains rice and black beans a sandwich with pork, ham, and cheese 3. what is the man in the yellow shirt and white pants doing? dancing eating waving a cuban flag 4. how many stars does the cuban flag have? one
1. The men are playing Dominos in the game.
2. A sandwich with pork ham and cheese is the kind of Cuban food shown.
3. The man in the yellow shirt and white pants is shown Dancing.
4. The Cuban flag has one star.
Dominoes refers to a group of tile-based games with playing pieces that resemble dominoes. A line usually divides the two square ends of each rectangular domino tile. Either a blank space or a series of dots designate each end. Each tile in a set has a back that is either blank or has a similar design, making them all identical.
The playing pieces are what make up a domino set, sometimes referred to as a deck or pack. The typical European domino set consists of 28 tiles with spot counts ranging from zero to six in all possible combinations. Some other names for these tiles are pieces, bones, rocks, stones, men, cards, and simply dominoes.
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andrew is moving to nashville TN. he decides to hire a moving company and gets two quotes. the first quote is $340 which includes 10 hours of packing and 3 hours of loading tje truck. the second quote is for $495 which includes 15 hours of packing and 4 houra of loading the moving truck. determine the hourly rates the moving company charges for packing and loading the truck
Answer: $26.094 an hour
Step-by-step explanation:
First, add up the total hours:
10 + 3 + 15 + 4 = 32
Now, add up the total amount charged:
340 + 495 = 835
Now, divide the amount charged by the number of hours:
835 / 32 = *26.094
* or 26.09375 if it needs to be exact.
How would the dx2−y2 orbital in the n=5 shell compare to the dx2−y2 orbital in the n=3 subshell?
a) The contour of the orbital would extend further out along the x and y axes.
b) The value of ℓ would increase by 2.
c) The radial probability function would include two more nodes.
d)The orientation of the orbital would be rotated 45∘ along the xy plane.
e) The mℓ value would be the same.
**Which statements above are correct?
A. The contour of the orbital would extend further out along the x and y axes and the mℓ value would be the same.
The dx2−y2 orbital in the n=5 shell will have a higher principal quantum number (n=5) than the dx2−y2 orbital in the n=3 subshell (n=3). This means that the contour of the orbital in the n=5 shell will extend further along the x and y axes, as the orbital size increases with increasing n.
However, the mℓ value will remain the same, as the angular momentum quantum number (ℓ) remains constant at two and mℓ can only take values between -ℓ and +ℓ.
The value of ℓ will not increase by two, as stated in option B, and the radial probability function will not include two more nodes, as stated in option C. Furthermore, the orientation of the orbital will not be rotated 45∘ along the xy plane, as stated in option D.
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Use the diagram below to find x.
Then, find the angle measures.
(x-6)⁰
2x
The sum of the angles equals 540
How to find the value of the angle?There are 3 angles that measure (x - 6) and 2 angles that measure (x)
We should know that the question address a pentagon
3(x - 6) + 2(x) = 540
Simplify the equation
3x - 18 + 2x = 540
Collecting the like terms to have
5x - 18 = 540
5x = 598
Making x the subject of the relation we have
x = 120⁰
Bu substitution, put x in the value x-6 to have the value of the angle
x - 6 = 120 - 6 = 114
Conclusively, the value of x = 114
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This is the question
The equation of the tangent line at x = 4 is:
y = 179*x - 490
(your teacher or the person who wrote this problem made a mistake somewhere, as none of the options is near correct)
How to find the equation of the tangent line?We have:
f(x) = 4x³ - 2x² + 3x - 10
When x = 4 we have:
f(4) = 4*4³ - 2*4² + 3*4 - 10 = 226
So we want a line tangent to the curve at the point (4, 226)
To find the slope of that line, we need to evaluate the derivative of f(x) in x = 4.
The derivative is:
f'(x) = 3*4x² - 2*2x + 3
f'(x) = 12x² - 4x + 3
Then the slope is:
f'(4) = 12*4² - 4*4 + 3 = 179
Then the tangent line is something like:
y = 179*x + b
To find the value of b, we replace the values of the point (4, 226)
226 = 179*4 + b
226 - 179*4 = b = -490
The line is:
y = 179*x - 490
Notice that this is not in the options, meaning that the problem (or the options) are written incorrectly.
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A map’s scale of cm to miles is ½ cm equal 10 miles. If the distance from City A to City B is 3.7 cm on the map, what is the actual distance?
Answer: 74 miles
Step-by-step explanation:
3.7 divided by 0.5 = 7.4
7.4 x 10 = 74
74 miles
What are the three methods to solve a 3 variable linear system of equations?
The three methods to solve a 3 variable linear system of equations are substitution, elimination, and matrix inversion.
1. Substitution: This method involves isolating one of the variables in one of the equations, then substituting it into the other equations to solve for the other two variables.
2. Elimination: In this method, the coefficients of two of the variables in one of the equations are multiplied by constant values, so that when the two equations are added together, one of the variables is eliminated. The remaining variable can then be solved for, and the other two variables can be found using substitution.
3. Matrix Inversion: This method involves writing the system of equations in matrix form, then inverting the matrix using matrix algebra to solve for the three variables.
The three methods to solve a 3 variable linear system of equations are substitution, elimination, and matrix inversion. Substitution involves isolating one of the variables and substituting it into the other equations, elimination involves multiplying coefficients of two of the variables and adding the equations together to eliminate one of the variables, and matrix inversion involves writing the system of equations in matrix form and inverting the matrix to solve for the three variables.
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Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
Work out how much they each get.
Using the provided condition and values, This is solved using the concept of word problem, The answer is Polly gets £30, Andy gets £60 and Phoebe gets £180.
What is word problem?A word problem in mathematics is a problem that is written in natural language (i.e., words) rather than in mathematical notation. It presents a real-world scenario that requires the use of mathematical concepts and skills to solve. Word problems often involve finding unknown quantities based on given information, and they can be challenging because they require students to understand the problem and translate it into mathematical equations or formulas. They are often used in primary and secondary education to help students apply their math skills to real-world situations and develop critical thinking skills.
What do you mean by mathematical expression?A mathematical expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a mathematical statement or equation. Mathematical expressions can be evaluated to find a numerical value. They can also be simplified by applying the order of operations (PEMDAS) to combine like terms or to remove unnecessary parentheses. Additionally, mathematical expressions can also be used to represent the relationship between different variables.
Let x be the amount that Polly gets.
Andy would get 2x and Phoebe would get 3(2x) = 6x
So the total amount would be x + 2x + 6x = 9x
Therefore, x + 2x + 6x = £270
9x = £270
x = £30
So Polly gets £30, Andy gets £60 and Phoebe gets £180.
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plese hurrrrrrrrrrrrrrrry
A right triangle and two of its side lengths are shown in the diagram.
Which measurement is closest to the value of x in centimeters? Round to the nearest tenth.
100 points
Answer: 14.4
Step-by-step explanation:
Pythagorean theorem states that a² + b² = c²
Using this,
8² + 12² = c²
64 + 144 = c²
208 = c²
c = 14.4 when rounded to the nearest tenth
Convert $2525 US to Argentine peo uing the converion $0. 23364 US per 1 Argentine peo. Round your anwer to the nearet peo
The expression of $2525 US in Argentine peso is 5,788,660 peso, calculated using the conversion rate of $0.23364 US to 1 Argentine peso.
2525 US x 0.23364 Argentine peso = 5,888.85 Argentine peso
Rounded to the nearest peso = 5,788,660 Argentine peso
The conversion rate of US Dollars to Argentine Peso is $0.23364 US per 1 Argentine peso. This means that for every 1 Argentine peso, you would need to spend $0.23364 US. To calculate the equivalent amount of Argentine peso for $2525 US, we need to multiply $2525 US by 0.23364 Argentine peso. This gives us a total of 5,888.85 Argentine peso. However, when making monetary calculations, it is important to round the result to the nearest peso, so the equivalent of $2525 US in Argentine peso is 5,788,660 peso. This means that for every $2525 US, you can purchase 5,788,660 peso in Argentine currency.
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Solve for X, Leave in simplest radical form
The value of y is 2. The study of triangular relationships between angles and side lengths is known as trigonometry.
What are trigonometric relations?When the number under the root sign has no square factors, a radical is said to be in its simplest form. For instance, 72 can be divided by 4 to get 218. Radicals - The symbol nx used to denote a root is referred to as a radical and is thus interpreted as "x radical n" or "the nth root of x." The horizontal line, the quantity underneath it, and the quantity n printed to the left are referred to as the vinculum, radicand, and index, respectively, in the radical symbol. The square root symbol, which has the value of 1.414, is used to symbolise the square root of 2, also known as root 2. Mathematicians frequently utilise this number.The study of triangular relationships between angles and side lengths is known as trigonometry.
The six trigonometric functions are cosec, sec, cot, sin, and tan.
Allow the angle to be, so that
The opposite or hypotenuse of sin
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be ΔABC
The triangle ABC is a right angled triangle and the angles inside the triangles are 45° , 45° and 90°
Now , from the given figure
From the trigonometric relations
tan θ = x / √2
Now , θ = 45°
So , tan 45° = x / √2
And , tan 45° = 1
So , the value of x = √2
And from trigonometric relations ,
hypotenuse² = base² + length²
y = √ ( √2 )² + ( √2 )²
y = √4
y = 2
Hence , The value of x = √2
The value of y = 2
The complete question is,
Solve for X. Leave your answer in simplest radical form if necessary.
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11 Mark the givens in the diagram. Then copy the proof on paper, and fill in the blanks to complete the proof. Chapter Reference c Given that AR ∩ DC = M, AD = RC and ∠A ≅ ∠R, prove that △MAD ≅ △MRC. A D M R C 1. AD = ____ 1. Given 2. ∠A ≅ ∠____ 2. Given 3. ∠AMD ≅ ∠____ 3. ________ 4. △MAD≅ △____ 4. ________ Answer: 1. AD = RC 1. Given 2. ∠A≅∠ 2. Given 3. ∠ AM D = ∠ 3. 4. △ MAD ≅△ 4.
Answer:
AD=RC, GIVEN
∠A≅∠R GIVEN
∠AMD=∠RMC VERtical angles
△MAD≅△MRC ASA/SAA
Step-by-step explanation:
color each of the six faces of a cube with either blue or red. note that two colorings are regarded the same if the cube looks identical after some rotation. how many different colorings can be made?
There are 8 different colorings that can be made.
Color each of the six faces of a cube with either blue or red. note that two colorings are regarded the same if the cube looks identical after some rotation.
The number of colorings can be calculated by using the equation 2^6 = 64. This is because each of the six faces of the cube can be colored either blue or red, giving two options for each face.
As there are six faces, the total number of colorings is 2^6 = 64. However, some of these colorings are the same after a rotation, so the total number of distinct colorings is 8.
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Tell the maximum number of zeros that the polynomial function may have. T f(x)=4x^9+5x^8+4x^6+9x+1
Answer: the maximum number of zeros that the polynomial function
f(x)= 4x^9+5x^8+4x^6+9x+1 is 9
Step-by-step explanation:
Firstly, it is important to rearrange the function in decreasing order. The function will now be f (x) = 4x^9+5x^8+4x^6+9x+1
Secondly, for finding the zeros, it is necessary to find the degree of the function. The maximum number of zeroes in a polynomial is the degree of the function. The degree of a function is the highest value of exponents in the function. Here, in this function, the degree is 9.
Lastly, the degree of the function is the number of zeroes. Since the degree is 9, the number of zeroes possible is also 9.
∠A and B∠ are vertical angles. If m∠A = (3x+9) and m∠B=(4x-7) , then find the measure of angle B∠.
Answer:
57 degrees
Step-by-step explanation:
vertical angles are equal. thus, 3x+9 = 4x-7
subtract 3x from both sides to put all x values and their coefficients on one side
9 = x-7
add 7 to both sides to isolate x
x = 16
B = 4x-7 = 4 * 16 - 7 = 57
A box contains 12 tickets labeled with numbers. The number on the tickets are -9, -9, -8, -8, -5, -5, -4, 3, 6, 6, 6, 7 . The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is
The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is -16.5
The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box can be calculated by multiplying the expected value of each draw (which is the mean of the numbers on the tickets) by the number of draws.
The mean of the numbers on the given tickets is ( (-9*2) + (-8*2) + (-5*2) + (-4) + (3) + (6*3) + (7) )/12 = (-18 - 16 - 10 - 4 + 3 + 18 +7)/12 = -1.5
So the expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is 11*-1.5 = -16.5.
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A regular polygon is such that its interior angle exceeds three times the exterior angle by 20 degree find the number of sides the polygon has
There is no regular polygon that satisfies the given condition.
What is a regular polygon?
A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.
Let n be the number of sides in the polygon.
The interior angle of a regular polygon with n sides is (n-2) * 180/n degrees.
The exterior angle of a regular polygon with n sides is 360/n degrees.
We are given that:
(n-2) * 180/n > 3 * 360/n + 20
Simplifying the equation:
(n-2) * 180 > 3 * 360 + 20 * n
Now we can solve for n.
(n-2) * 180 > 1080 + 20n
180n - 360 > 1080 + 20n
-20n > 720
n < -36
Since n must be a positive integer, no such n exists that satisfies the given condition.
Therefore, there is no regular polygon that satisfies the given condition.
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A contruction company take 1/4 hour to remove 1/2 metric ton of dirt from a contruction ite. What i the unit rate in metric ton per hour? Write your anwer in implet form
The answer is 2 metric tons in an hour.
Units refer to a specific measurement or denomination used to express the size or quantity of something. For example, length can be measured in units of inches, feet, or meters. Time can be measured in units of seconds, minutes, or hours.
The best way to do this is to convert all the fractions to decimals. The problem starts out looking like this.
Formula :
Rate = Tons removed / hours
Tons Removed = 1/2 metric ton
Time taken = 1/4 hour
Rather than doing it with fractions, it is much easier to do it with decimals
1/4 = 0.25
1/2 = 0.5
Now what you get is rate = 0.5 / 0.25 = 2
So, 2 metric tons can be removed in an hour.
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monica has a goal to complete a triathlon. the race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run. in training, monica can swim at an average pace of 2.1mph. she rides her bike at an average of 18.8mph and runs at 5.1mph. estimate how long it will take her to complete the triathlon.
3.31 it will take her to complete the triathlon.
To find this, we can apply the equation distance = rate x time.
We are aware of the length and pace of each triathlon leg. Let's name them, respectively, d and r. We must locate the time, which we shall designate as t.
d = r x t or
t = d/r
The distance is 0.93, or 93/100, and the rate is 1.2, or 12/10 when swimming. As a result of our formula, we have:
12/10 divided by 93/100 yields the same result as
93/100 * 10/12
time to swim = 93/120 = 31/40
We have a distance of 24.8 miles, or 248/10, and a speed of 18.8 miles, or 188/10, for biking. Using the same formula, we obtain:
248/10 divided by 188/10 or
248/10 * 10/188 = 248/188 = 62/47 = time to bike
Finally, for the run, the distance is 6.2 = 62/10 and the rate is 5.1 or 51/10. Plugging this into the formula gives:
62/10 divided by 51/10 or
62/10 * 10/51 = 62/51 = time to run
= 31/40 + 62/47 + 62/51
=3.31
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99/12 in long division please!
