As per multiplication, the value of 64 times π is 200.96
Multiplication is a fundamental arithmetic operation that involves repeated addition. In this case, we are tasked with finding the result of multiplying 64 and pi. Pi is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is commonly denoted by the Greek letter "π".
To find the product of 64 and pi, we simply need to multiply these two numbers. Multiplication is typically represented using the "×" symbol or the "dot" symbol ( · ). In this case, we can write:
64 × π
Since pi is a mathematical constant, we typically use an approximation of its value in calculations. The commonly used approximation is 3.14, which is accurate to two decimal places. Thus, we can substitute 3.14 for pi and obtain:
64 × 3.14
Using the distributive property of multiplication, we can break down 64 into smaller factors that are easier to multiply with 3.14. For example, we can write:
64 = 60 + 4
Then, we can use the associative property of multiplication to group the factors in a way that makes the calculation easier. For instance, we can write:
64 × 3.14 = (60 × 3.14) + (4 × 3.14)
Now, we can use our knowledge of multiplication tables to calculate the products on the right-hand side. We get:
60 × 3.14 = 188.4
4 × 3.14 = 12.56
Therefore, the final result is:
64 × π = 188.4 + 12.56 = 200.96
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Is 19 is a prime number or not?
The number 19 have only two factors. They are 1 and 19. So it is a prime number. The statement is true.
Prime numbers are the numbers having only two factors, 1 and the number itself. There are some conditions that should be satisfied if they are counted as prime numbers.
It must be greater than 1.
It must be a natural number, not a decimal fraction or negative number.
It must have only two factors.
It must not be a product of any two numbers other than 1 and the number.
So a number which is not divisible by any other number than 1, can be called a prime number. All other numbers are composite numbers.
So 19 is not divisible by any other numbers. So it is a prime number.
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How to convert 10 miles per hour to kilometers per hour?
The required conversion of 10 miles per hour to kilometers per hour is given by 16.0934 kilometers per hour.
Miles and kilometers both are the unit which are used to measure the distance.Conversion of miles to kilometer is :
One miles is equal to 1.60934 kilometers
Now substitute the required value we get,
10 miles = ( 10 ) × ( 1.60934 ) kilometers
⇒ 10 miles = ( 10 × 1.60934 ) kilometers
⇒ 10 miles = 16.0934 kilometers
Required conversion is :
10 miles per hour = 16.0934 kilometers per hour
Therefore, converted value of 10 miles per hour is equal to 16.0934 kilometers per hour .
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The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.7. (a) What are the mean and standard deviation of the average number of moths x in 60 traps? (b) Use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4
The probability that the moderate number of moths in 60 traps is more significant than 0.4 is approximately 0.9738 or 97.38%.
(a).
The mean number of moths = 60 traps
Now, the properties of normal distribution and central limit theorem are used.
mean of the individual moth counts = 0.5.
The standard deviation = the Standard deviation of the individual moth counts, divided by the square root of the sample size.
standard deviation = (0.7 / [tex]\sqrt{60}[/tex])
standard deviation = 0.0905
the mean number of moths and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905.
(b) .
By using the central limit theorem
The average number of moths in 60 traps = 0.4
The z-score formula is to be calculated by using:
Z = (sample mean - population mean) / (standard deviation/sqrt (sample size))
Substituting the given values, we have:
Z = (0.4 - 0.5) / (0.7 / sqrt(60))
Z = -1.94
The probability of a Z-score greater than -1.94 is approximately 0.9738.
Hence, we can conclude that the probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738.
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Figure 1 and figure 2 are right triangles. two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 5 units long What scale factor was used to produce Figure 2 from Figure 1? 3 over 5 5 over 3 3 5
The scale factor used to produce Figure 2 from Figure 1 is 5 over 3.
What is scale factor?Scale factor is a numerical value used to represent the proportional change between two similar objects. This value is often used to compare the size of objects in different measurements, such as inches to millimeters or feet to meters. Furthermore, the scale factor can be used to find the area, volume, or surface area of an object, as the measurements are proportional to the scale factor. This is especially useful when objects are enlarged or reduced, as it allows for the accurate calculation of the changed measurements.
This is because Figure 2 has legs that are 5 units long and Figure 1 has legs that are 3 units long. The ratio of the legs of Figure 2 to the legs of Figure 1 is 5/3, which is the scale factor used to produce Figure 2 from Figure 1.
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The correct answer is C, 3
What is the conversion of 72kg to lbs?
The conversion of 72 kilograms is equal to approximately 158.73 pounds (rounded to two decimal places).
A kilogram (symbol: kg) is the base unit of mass in the International System of Units (SI).
It is currently defined based on the fixed numerical value of the Planck constant, h,
Which is equal to 6.62607015 × 10-34 in the units of J·s.
A pound (symbol: lb) is a unit of mass used in the imperial and US customary systems of measurement.
The international avoirdupois pound (the common pound used today) is defined as exactly 0.45359237 kilograms.
To convert 72 kilograms to pounds,
You can use the following formula:
1 kilogram = 2.20462 pounds
Multiplying both sides by 72,
We get:
72 kilograms = 72 x 2.20462 pounds
Simplifying the calculation,
We get:
72 kilograms = 158.73264 pounds
Therefore, the conversion of 72 kilograms is equal to approximately 158.73 pounds (rounded to two decimal places).
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Where do you find the Department of Education funding in this tax breakdown?
Department of Education is usually determined by the sales tax rate and the amount of the purchase.
The main sources of funding for the Department of Education come from income taxes and sales taxes.
The amount of income taxes collected by the Department of Education is usually determined by the tax code and the amount of income earned.
In addition to income taxes and sales taxes, the Department of Education also collects taxes from other sources. These include inheritance taxes, property taxes, and excise taxes. Inheritance taxes are taxes collected on the transfer of property from one person to another upon death.
Property taxes are taxes collected on the value of real estate, such as land and buildings. Excise taxes are taxes collected on the purchase of certain items, such as cigarettes and alcohol.
By understanding how taxes work, you can locate the Department of Education funding in your tax breakdown.
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Bilquis is going to invest in an account paying an interest rate of 5.6% compounded continuously. How much would Bilquis need to invest, to the nearest dollar, for the value of the account to reach $84,000 in 19 years?
Answer: $29830
Step-by-step explanation:
Every year the amount he has (in the bank lets say) goes up by 5.6%. This can be explained as multiplying by 1.056, as it basically take the one and adds 0.056 which is equivalent to 5.6%. If we are trying to find the end value after 19 years, we would have multiplied our original value by 1.056, 19 times. We can find how much that is by calculating 1.056 to the power of 19, which equals 2.8159. This is how much the money would have increased over the 19 years. Dividing the final value by 2.8159 will get us the original value. $84,000 / 2.8159 = ~ $ 29830. I have already rounded up so this should be the answer.
Mr. Bloop was having a party! He made cupcakes for the guests, but many more people showed up than he expected. He decided to cut the cupcakes into fourths (they were rather large anyway). If Mr. Bloop had 36 cupcakes to start with, what is the maximum number of guests that he could serve cupcakes pieces?
Step-by-step explanation:
36 because since theres 36 people each person gets one for each
what is 30 inches in feet?
As per measurement, 30 inches is equivalent to 2.5 feet.
Measurement is an essential aspect of our daily life, and it helps us to quantify things precisely. The measuring units are used to determine the size, weight, or any physical quantity of an object. It is essential to know the conversions between the measuring units to make the necessary calculations accurately.
In this context, let's discuss the conversion of inches to feet.
Inches and feet are two common units of measurement used for length or distance. Inches are the smaller unit, and feet are the larger unit. One foot is equivalent to 12 inches. Therefore, to convert inches to feet, we divide the given number of inches by 12.
Let's consider we need to convert 30 inches to feet.
30 inches / 12 inches per foot = 2.5 feet
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Can somebody help me with these geometry problems (BTW these are not regular area this is trigonometry/ special right triangles area)
Answer: 1st 133
Step-by-step explanation: Hope this helps!
What is another name for a regression line?
Another name for a regression line is Least squares line
Answer:Best-Fit-Line
Step-by-step explanation:
--Or line of best fit
HOP THIS HELPS!!!
Miss Richmond uses 4 tablespoons of cake mix and 2 tablespoons of water to make microwave mug cake. She wants to make a bigger amount to share with Mrs. St. Clair. If she uses 22 tablespoons of cake mix, how much water will she need to use? Select the 2 proportions that represent this situation.
1. 4/X = 2/22
2. x/2 = 22/4
3. 4/2 = 22/x
4. 2/22 = 4/x
Ans x/2 = 22/4
A word problem is a few sentences describing a "real-life" scenario where a problem needs to be solved using math.
To answer the question above, we equate the amount of cake mix initially to the amount of water needed to make a mug cake
4 tablespoons of cake mix = 2 tablespoons of water
we then equate the amount of cake mix in the final moment to the amount of water needed to make a mug cake
22 tablespoons of cake mix = X tablespoons of water
Now we divide both and these will give us the answer.
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Find the function of the graph
The rational function for the graph is defined as follows:
y = -8(x - 3)/(x² - x - 12)
How to define the rational function?A rational function is a function in which the variable x appears in both the numerator and the denominator of the function.
The function in this problem has a zero at x = 3, hence the numerator is given as follows:
a(x - 3).
In which a is the leading coefficient.
The function has vertical asymptotes at x = -3 and x = 4, hence the denominator is given as follows:
(x + 3)(x - 4) = x² - x - 12.
Hence the function is defined as follows:
y = a(x - 3)/(x² - x - 12)
When x = 0, y = -2, hence the leading coefficient a is obtained as follows:
-2 = 3a/12
3a = -24
a = -8.
Hence the function is defined as follows:
y = -8(x - 3)/(x² - x - 12)
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David is doodling on a rectangular sheet of paper. Beginning in a corner, David draws a line along the long edge of the paper, a distance of 77 cm. Next, David draws a line along the width of the paper, a distance of 36 cm. Finally David draws a diagonal line straight back to the original corner. At this point, David has drawn a total of ___ cm of lines
David has drawn a total of 177 cm of lines.
According to given conditions :We can use the Pythagorean theorem, which tells us that in a right triangle, the square of the length of the hypotenuse (the diagonal line) is equal to the sum of the squares of the lengths of the other two sides (the lines along the long edge and the width).
In this case, the length of the hypotenuse is the distance from the starting corner to the end of the diagonal line, which we can calculate as follows:
d = √(77² + 36²) ≈ 85.99 cm
Therefore, David has drawn a total of 77 cm + 36 cm + 85.99 cm = 198.99 cm of lines. However, we should subtract the length of the starting corner to the end of the first line, which is 77 cm, since it was counted twice (once as part of the diagonal line and once as part of the line along the long edge).
So, the total length of lines that David has drawn is 77 cm + 36 cm + 85.99 cm - 77 cm = 177 cm.
What is Pythagoras Theorem ?Pythagoras' theorem is a fundamental theorem in mathematics that relates to the sides of a right triangle. It states that in any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
This can be expressed as:
a² + b² = c²
where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.
Pythagoras' theorem can be used to solve a variety of problems involving right triangles, such as finding the length of a missing side or determining whether a triangle is a right triangle. It is also the basis for the distance formula in two and three-dimensional Euclidean space.
Pythagoras' theorem has applications in many fields, including physics, engineering, and computer graphics, and it is one of the most important and widely used theorems in mathematics.
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What types of earned and unearned income do you think you'll have in 10 years?
Unearned income may vary depending on investment performance, interest rates, and changes in government policies.
What is Income?Income is the consumption and saving opportunity gained by an entity within a specified timeframe, which is generally expressed in monetary terms.
In 10 years, an individual's earned and unearned income may vary greatly depending on their career and investment choices, economic conditions, and personal circumstances.
Some individuals may see increases in earned income as they gain more experience or take on higher-paying positions, while others may see fluctuations or decreases in earned income due to changes in the job market.
Similarly, unearned income may vary depending on investment performance, interest rates, and changes in government policies.
Hence, unearned income may vary depending on investment performance, interest rates, and changes in government policies.
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Please help me I have a 60inch tv and don’t know how to solve this can u maybe make smth up? I will give brainliest to the first person who answers
60 INCH TV MATE 60
the answer is 60 inch its a trick question just find out the inches there trying to trick you its 60 inch mate enjoy <3 Mark me brainliest
Answer:
1. Tv Length: 12 in
2. Tv Width: 5 in
3. Sorry I don't understand 3
4. I have a 60-inch Tv.
Hope this helps!
I
In a laboratory experiment, the population of bacteria in a petri dish started off at 7500 and is growing exponentially at 14% per day. Write a function to represent the population of bacteria after t days, where the hourly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per hour, to the nearest hundredth of a percent.
Answer:
Step-by-step explanation:
The function to represent the population of bacteria after t days can be written as:
P(t) = P0 * (1 + r)^t
where P0 is the initial population (7500), r is the daily growth rate (14% = 0.14), and t is the number of days.
Substituting the values, we get:
P(t) = 7500 * (1 + 0.14)^t
Simplifying, we get:
P(t) = 7500 * 1.14^t
To find the percentage rate of change per hour, we need to convert the daily growth rate to an hourly growth rate. Since there are 24 hours in a day, the hourly growth rate, denoted by h, is given by:
h = (1 + r)^(1/24) - 1
Substituting the value of r, we get:
h = (1 + 0.14)^(1/24) - 1
= 0.005521
So, the percentage rate of change per hour is:
h * 100% = 0.5521%
Rounding to the nearest hundredth of a percent, we get:
h * 100% ≈ 0.55%
The first, second and third terms of a geometric progression are the first, fourth and tenth terms, respectively,
of an arithmetic progression. Given that the first term in each progression is 12 and the common ratio of the geometric progression is r, where r # 1, find:
a) the value of r
b) the sixth term of each progression
Answer:
a) r = 2
b)
GP a₆ = 384
AP a₆ = 32
Step-by-step explanation:
First term a₁ = 12 for both progressions
r = common ratio, d = common difference
nth term of geometric progression = a₁ x rⁿ⁻¹
nth term of arithmetic progression = a₁ + (n - 1)d
Second term of GP = Fourth term of AP
=> 12r¹ = 12 + 3d
==> 12r = 12+ 3d (1)
Third term of GP = 10th term of AP
=> 12r² = 12 + 9d (2)
3 x (1) => 3(12r = 12 + 3d) => 36r = 36 + 9d (3)
(2) - (3) gives12r² -36r = 12 - 36
12r² - 36r = 12 + 9d - (36 + 9d)
12r² -36r = -24
12r² -36r + 24 = 0
Dividing by 12 gives
r² - 3r + 2= 0
We can factor r² - 3r + 2 as (r - 1)(r-2)
r² - 3r + 2= 0
=> (r - 1)(r-2) = 0
=> r = 1 or r = 2
r cannot be 1 since all terms of the GP will be equal with a common ratio of 1
Therefore r = 2 (Part a)
Using equation (1) we get:
12r = 12+ 3d
12 x 2 = 12 + 3d
24 = 12 + 3d
3d = 24 - 12 = 12
d = 12/3 = 4
So the common ratio, r, is 2. Common difference d = 4
6th term of GP =12 x r⁵ = 12 x 2⁵ = 12 x 32 = 384
6th term of Ap = 12 + 5d = 12 + 5(4) = 12 + 20 = 32
Which inequality
represents the values of x
for y ≤-6(x-18)-2
when y=46?
The inequality that represents the value of x is x ≥ -10.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
y ≤ -6 (x - 18) - 2
Substitute y = 46
So,
46 ≤ - 6 (x - 18) - 2
46 ≤ - 6x + 108 - 2
46 ≤ 6x + 106
46 - 106 ≤ 6x
-60 ≤ 6x
-10 ≤ x
Thus,
The inequality of x is x ≥ -10.
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Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin.
Select all the graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked.
The question is, "Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin. Select all the graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked."
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i dont understand math pls help
Answer:
x² + y² = z²
Step-by-step explanation:
The side of the bottom square is y.
The side of the left square is x.
The side of the right square is z.
These sides are also the legs and hypotenuse of the right triangle.
We use the Pythagorean Theorem.
x² + y² = z²
PLEASE !! HELP what is the slope of the line that contains the points ( -2, - 7/2) and (4,-4)
Work Shown:
-7/2 = -3.5
The two given points are (-2,-3.5) and (4,-4)
Let's use the slope formula.
[tex](x_1,y_1) = (-2,-3.5) \text{ and } (x_2,y_2) = (4,-4)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-4 - (-3.5)}{4 - (-2)}\\\\m = \frac{-4 + 3.5}{4 + 2}\\\\m = \frac{-0.5}{6}\\\\m = \frac{-1/2}{6}\\\\m = \frac{-1/2}{6/1}\\\\m = \frac{-1}{2}\div\frac{6}{1}\\\\m = \frac{-1}{2}*\frac{1}{6}\\\\m = -\frac{1}{12}[/tex]
The slope is -1/12
It means "go down 1 unit, then go to the right 12 units".
You can use a tool like GeoGebra to confirm the answer is correct.
Which of the three side lengths can NOT form a triangle: 2 ft, 3 ft, 8 ft 4 ft, 4 ft, 1, ft 2.5 in, 2.5 in, 2.5 in 4 m, 3 m, 6 m
The side lengths that cannot form a triangle are: 2 ft, 3 ft, 8 ft.
PLEASE HELP!!!
Using your knowledge of complementary, supplementary vertical, and adjacent angles, identify the pairs of angles named in each figure. For example, in Figure #1 you are to identify the supplementary angles, which are:
>AFC and >CFB
>AFD and >DFB
>CFB and >BFD
>BFD and >DFA
>DFA and >AFC
identify all of the vertical pairs of angles,
identify all of the complementary pairs of angles,
identify all of the vertical pairs of angles,
Note that:
∠AFC and ∠CFB are Supplementary angles - They add up to 180°∠AFD and ∠DFB are Supplementary angles - They add up to 180°∠CFB and ∠BFD are Supplementary angles - They add up to 180°∠BFD and ∠DFA Supplementary angles - They add up to 180°The vertical angles are given as follows:
∠CFB vs ∠AFD
∠CFA vs ∠DFB
The complimentary pair of angles is :
∠CFE vs ∠EFA.
Complementary angles are a pair of two angles whose sum equals 90 degrees. In other words, when two angles are complementary, one angle is said to be the complement of the other.
For example, if angle A and angle B are complementary, then A + B = 90 degrees.
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Full Question:
See the attached
When computing the correlation coefficient, what is the effect of changing the order of the variables on r?Choose the correct answer below.A. It has no effect on r.B. It changes both the sign and magnitude of r.C. It changes the magnitude of r.D. It changes the sign of r
When computing the correlation coefficient, the effect of changing the order of the variables on r is option (A) It has no effect on r
The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.
Changing the order of the variables has no effect on the correlation coefficient, It has no effect on r.
This is because the correlation coefficient measures the degree of association between two variables, regardless of which variable is designated as the dependent variable or independent variable. The formula for the correlation coefficient is symmetrical, meaning that it yields the same result regardless of the order in which the variables are entered into the formula.
Therefore, the correct option is (A) It has no effect on r
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Which expression is equivalent to 7k+13-4K+10+5k-6
A.6n+90
B.14+72
C.6n+72
D.14n+90
the expression equivalent to 7k+13-4K+10+5k-6 is 8k + 17. correct option: (B) 14+72
How to do and what is expression equivalent?
Simplifying the expression by combining like terms, we get:
7k + 13 - 4k + 10 + 5k - 6
= (7k - 4k + 5k) + (13 + 10 - 6)
= 8k + 17
Therefore, the expression equivalent to 7k+13-4K+10+5k-6 is 8k + 17. correct option would be : (B)
Two expressions are equivalent if they represent the same mathematical value for all possible values of the variables. In other words, if you substitute any value for the variables in both expressions, the resulting values will be the same.
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I BEG FOR HELP I have a math quiz rn and I have a teacher who don’t teach
Answer:
The period of a spring-mass system is the time it takes for the weight to complete one full cycle of motion (i.e., go up and down once).
In this problem, we are told that the weight goes up and down 60 times in 90 seconds. Therefore, the time it takes for the weight to complete one cycle of motion is:
90 seconds / 60 cycles = 1.5 seconds/cycle
To find the period of the motion in minutes, we need to convert the time per cycle from seconds to minutes:
1.5 seconds/cycle * 1 minute/60 seconds = 0.025 minutes/cycle
Therefore, the period of the motion is 0.025 minutes/cycle or 25 milliseconds/cycle. In this case, it is 1/40 minutes.
Answer: i think B.1/40 minutes
Step-by-step explanation: hope this helps0^0
The weight, in pounds, of a baby in the first six months of life can be modeled by the function f(x) = 1.5x +7, where x is the age of the baby
in months. According to this model, what is the weight, in pounds, of a baby at age 5 months?
A. 8.5
B. 12.0
C. 13.5
D. 14.5
To find the weight of a baby at age 5 months, we can substitute x=5 in the given function:
f(5) = 1.5(5) + 7
f(5) = 7.5 + 7
f(5) = 14.5
Therefore, the weight of a baby at age 5 months is 14.5 pounds. Answer: D.
a student spent $152.84 this week, which is $21.45 more than what the student spent last week. how much did the student spend last week?
Answer: 131.39
Step-by-step explanation:
Helen ran 12 miles. She ran 5 miles each hour.
True or False:
The equation 12h = 5 can be used to find h, the number hours that it took Helen to
complete her run.
Answer:
False, it took her 2 hours and 24 minutes
Step-by-step explanation:
The equation 12h = 5 is not correct because it would mean that Helen completed her run in 5 hours, which is not possible since she only ran 12 miles.
To find the correct number of hours, we can use the formula:
Distance = rate x time
Where distance is the total distance Helen ran (12 miles), rate is her speed (5 miles per hour), and time is the number of hours it took her to run.
We can rearrange the formula to solve for time:
Time = distance / rate
Plugging in the values we have:
Time = 12 miles / 5 miles per hour
Simplifying, we get:
Time = 2.4 hours
Therefore, it took Helen 2.4 hours (or 2 hours and 24 minutes) to complete her run.
I hope this helps! And if you could label my answer brainliest that would be awesome.
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