What is v75 in simplest form?
oa. 2513
ob. 3v5
oc. 53
od. 5v50
Answers
Correct answer is: b) 5v3
In order to simplify the expression v75, you need to find the largest perfect square that is a factor of 75. In this case, the largest perfect square is 25, which is 5². So, you can rewrite v75 as v(25*3) or v(5²*3). Now, you can apply the property √(a*b) = √a * √b.
Your answer: v75 = 5v3 (option b).
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Related Questions
(6.0x10^3)x(3.5x10^-2)
Answers
Value of the given expression (6.0 × 10³) × (3.5 ×10⁻²) is equal to 210.
As given in the question,
Given expression are:
(6.0 × 10³) × (3.5 ×10⁻²)
Simplify the given expression (6.0 × 10³) × (3.5 ×10⁻²) using law of indices to get the value ,
Law of indices for multiplication we have,
xᵃ × xᵇ = xᵃ⁺ᵇ
Here x = 10 , a = 3 and b = -2
(6.0 × 10³) × (3.5 ×10⁻²)
Multiply 6 with 3.5 and apply law of indices we get,
= 6.0 × 3.5 × 10 ³⁺⁽⁻²⁾
= 21 ×10 ³⁻²
= 21× 10¹
= 210
Therefore, the value of the given expression (6.0 × 10³) × (3.5 ×10⁻²) is equal to 210.
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One scientist involved in the study believes that large islands (those with areas greater than 25 square kilometers) are more effective than small islands (those with areas of no more than 25 square kilometers) for protecting at-risk species. The scientist noted that for this study, a total of 19 of the 208 species on the large island became extinct, whereas a total of 66 of the 299 species on the small island became extinct. Assume that the probability of extinction is the same for all at-risk species on large islands and the same for all at-risk species on small islands. Do these data support the scientist’s belief? Give appropriate statistical justification for your answer.
Answers
Yes, these data support the scientist's belief that large islands are more effective at protecting at-risk species than small islands. To provide statistical justification, we can compare the probability of extinction for each island size: For large islands, the probability of extinction is 19/208, or approximately 0.091. For small islands, the probability of extinction is 66/299, or approximately 0.221.
The data provided can support the scientist's belief that large islands are more effective than small islands for protecting at-risk species. We can use the concept of probability to calculate the likelihood of extinction for both large and small islands.
For the large island, the probability of extinction for any given species is 19/208 or approximately 0.091. For the small island, the probability of extinction for any given species is 66/299 or approximately 0.221.
Comparing these probabilities, we see that the probability of extinction is higher for at-risk species on small islands than on large islands. This supports the scientist's belief that large islands are more effective for protecting at-risk species.
Additionally, we can use statistical tests such as a chi-square test or a two-sample t-test to confirm whether the difference in extinction rates between large and small islands is statistically significant.
These tests would require more information such as sample size and variance, but based on the provided data alone, the probability calculations suggest that the scientist's belief is supported.
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1.Given the following:
D: μ≥1000;
E: μ<1000
D and E represent respectively.
Select one:
a. H(a) and H(0)
b. H(0) and H(a)
c. Type I error and Type II error
Answers
D represents the hypothesis that the population mean (μ) is greater than or equal to 1000, while E represents the hypothesis that the population mean is less than 1000.
In hypothesis testing, D and E typically represent the null hypothesis (H0) and alternative hypothesis (Ha) respectively. The null hypothesis (D) assumes that the population mean (μ) is greater than or equal to 1000, while the alternative hypothesis (E) assumes that the population mean is less than 1000.
These hypotheses are used to make decisions about the population based on sample data. In this context, options (a) and (b) are not applicable as they refer to H(a) and H(0) which are not commonly used notations in hypothesis testing.
Option (c) is also incorrect as D and E do not represent Type I and Type II errors, which are associated with the decisions made based on the hypothesis test results.
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The given lengths are two sides of a right triangle. All three sides of the triangle form a Pythagorean Triple. Find the length of the third side and tell whether it is a leg or the hypotenuse. 9 and 41
Answers
Answer:
40, leg
Step-by-step explanation:
The triangle has side lengths of 9, 40, and 41.
41 is the hypotenuse, so 40 is a leg.
You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %
Answers
a. The price of the consol is approximately $133.33.
b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.
c. Your holding period return is approximately -49.99%.
a. The price of the consol can be calculated using the formula for the present value of a perpetuity:
Price = Annual Payment / Interest Rate
In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:
Price = $4 / 0.03 ≈ $133.33
Therefore, the price of the consol is approximately $133.33.
b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:
New Price = Annual Payment / New Interest Rate
Substituting the values, we get:
New Price = $4 / 0.04 = $100
The percentage change in the price of the consol can be calculated using the formula:
Percentage Change = (New Price - Old Price) / Old Price * 100
Substituting the values, we have:
Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%
The percentage change in the interest rate is simply the difference between the old and new interest rates:
Percentage Change in Interest Rate = (4% - 3%) = 1%
Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.
c. The holding period return can be calculated using the formula:
Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100
The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:
Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67
Substituting the values into the holding period return formula:
Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%
Therefore, the holding period return is approximately -49.99%.
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Charlotte is driving at 61.4 mi/h and receives a text message. she looks down at her phone and takes her eyes off the road for 3.93 s. how far has charlotte traveled in feet during this time?
Answers
The distance travelled by Charlotte in feet is 354 feet. This is obtained by using the concept of speed and distance on the given problem.
What is speed?
Speed is defined as the distance per unit of time. It is the numerical quantity that specifies how fast an object is moving. The basic unit of speed is given by m / s.
Calculation of the distance travelled by Charlotte in feet
Given:
Speed = 61.4 mi / h
Time = 3.93 s
The basic step to solve this problem is to convert miles per hour to feet per second
(61.4 mi / hr) * (5280 feet / mi) * (1 hr / 3600 sec) = 90.0533 feet / sec
Now, multiply the speed by the number of seconds to find the value of distance in feet
(90.0533 feet / sec) * (3.93 sec) = 353.909 feet.
Hence, the distance travelled by Charlotte in feet is 354 feet.
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The half-life of hellium-5 is 7.6x10^-22 seconds, and the half-life of hellium-9 is 7x10^-21 seconds. Approximately how many times greater is the half-life of hellium-9 than that of helium-5?
Answers
Answer:
9.2 times greater
Step-by-step explanation:
Given that :
Half life :
Helium - 9 = 7x10^-21 seconds
Helium - 5 = 7.6x10^-22 seconds
To obtain the number of tunes helium - 9 half life is greater than helium - 5 ; we divide the half life of helium-9 by the half life of helium 5
7x10^-21 seconds / 7.6x10^-22 seconds
0.9210526 x 10^(-21 - (-22))
0.9210526 * 10^1
= 0.9210526 * 10
= 9.2105
About 9.2 times greater
Fill in the table using this function rule.y = 6x-3ху-5-1O1I1/6
Answers
Replace each of the values of x from the table into the given equation to find the corresponding values of y.
The rule for y in terms of x is:
\(y=6x-3\)For x=-5:
\(\begin{gathered} y=6(-5)-3 \\ =-30-3 \\ =-33 \end{gathered}\)For x=-1:
\(\begin{gathered} y=6(-1)-3 \\ =-6-3 \\ =-9 \end{gathered}\)For x=0:
\(\begin{gathered} y=6(0)-3 \\ =0-3 \\ =-3 \end{gathered}\)For x=1:
\(\begin{gathered} y=6(1)-3 \\ =6-3 \\ =3 \end{gathered}\)For x=1/6:
\(\begin{gathered} y=6(\frac{1}{6})-3 \\ =1-3 \\ =-2 \end{gathered}\)Therefore, the table with the corresponding values of y must be:
x y
-5 -33
-1 -9
0 -3
1 3
1/6 -2
Heather has a bag of 15 red, 7 orange, 9 yellow, 12 green, 6 blue and 11 purple markers. How many times would you expect Heather to pick a red marker if she picked a marker 180 times?
Answers
Answer:
45 times
Step-by-step explanation:
15 red out of 60 total markers
15/60=0.25
180 x 0.25 = 45
Thus, she will pick a red marker 45 times
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A factory makes 3,000 plastic forks per hour. How many plastic forks will the factory make in 6 hours?
Answers
Answer:
18,000 forks
Step-by-step explanation:
They are making 3,000 forks each hour for 6 hours, so you would multiply 3,000 by 6. 3,000 multiplied by 6 is 18,000.
Answer:
The factory will make 18,000 plastic forks in 6 hours
Step-by-step explanation:
Hope this helps :)
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Use the properties of exponents to rewrite $y=5e^{-0. 7t}$ in the form $y=a(1+r)^t$ or $y=a(1-r)^t$. Round the value of $r$ to the nearest thousandth. Then find the percent rate of change to the nearest tenth of percent
Answers
We can rewrite y=\(5e^{-0.7t}\) using the properties of exponents as follows:
y=\(5e^{-0.7t} =5(e^{-0.7)t} =5(\frac{1}{e^{0.7} })t\)
We can recognize \(\frac{1}{e^{0.7} }\) as a base for exponential function that can be written in the form 1 ±r We know that is an increasing function, so \(e^{0.7}\)≥1
therefore \(\frac{1}{e^{0.7\\} }\)≥1 which means we must use the form y=a\((1-r^){t}\)
To find the percent rate of change, we can use the formula:
percent rate of change=|r|×100
So, the percent rate of change is:
=|0.503|×100
Rounding to the nearest tenth of a percent, we get a percent rate of change of approximately 50.3%.
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How do you find the coordinates?
Answers
Main answer:A set of values that shows the exact position of a point in a two-dimensional coordinate plane
supporting answer:
what is coordinate system?
An arrangement of reference lines or curves used to locate points in space. The Cartesian (after René Descartes) system is the most common two-dimensional system.
body of the answer:
Navigate to the coordinate graph with the lines X'OX, Y'OY.Determine which quadrant of the graph contains an ordered pair or a point.Measure the distance between the point and the x-axis to get the abscissa.Similarly, to obtain the ordinate value, measure the point's distance from the y-axis.final answer: by following the above steps we can find the coordinates
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A set of values that shows the exact position of a point in a two-dimensional coordinate plane
What is a coordinate system?
An arrangement of reference lines or curves used to locate points in space. The Cartesian (after René Descartes) system is the most common two-dimensional system.
Navigate to the coordinate graph with the lines X'OX, Y'OY.
Determine which quadrant of the graph contains an ordered pair or a point.
Measure the distance between the point and the x-axis to get the abscissa.
Similarly, to obtain the ordinate value, measure the point's distance from the y-axis.
By following the above steps we can find the coordinates.
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what is the linear equation to
x=-3x+8
Answers
The linear equation is equal to
y = -3x + 8
m = slope
x = input variable
c = 8
What is linear function ?The given equation is linear function or linear equation
A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
Definition of variables to suit the problem to be solved
y = output variable
m = slope
x = input variable
c = y intercept
In comparison, to the linear equation given as equal to
y = -3x + 8
m = -3
x = input variable
c = 8
putting the input variables gives out put accordingly
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* You have a dog that can run 5 km/hr. How fast can she run in mi/hr? (i.e. convert the rate to miles per hour) (1.6 km=1mi) DO NOT JUST TYPE THIS INTO A CONVERTER ONLINE. YOU WILL NOT GET THE ANSWER RIGHT. Express your answer as decimal, rounded to the nearest thousandth (three decimal places) in mi/hr - no spaces EXAMPLE: 78.345mi/hr
Answers
The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.
To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.
However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.
Therefore, the dog can run at approximately 3.125 mi/hr.
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What is 604,000,000 expressed in scientific notation?
A. 6.04 x 109
B. 0.604 109
C. 6.04 x 10-8
D. 6.04 x 108
Answers
Answer:
D would be your answer
Hope this helped
Please help me !! would appreciate
Answers
The answers that describe the quadrilateral DEFG area rectangle and parallelogram.
The correct answer choice is option A and B.
What is a quadrilateral?A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.
Quadrilateral DEFG
if line DE || FG,
line EF // GD,
DF = EG and
diagonals DF and EG are perpendicular,
then, the quadrilateral is a parallelogram
Hence, the quadrilateral DEFG is a rectangle and parallelogram.
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When Jennifer and Tom visit another country, they find two types of coins are used there, one with a Q on it and one with an E on it. Jennifer has 13 Q coins and Tom has 5 Q coins and 7 E coins. If Jennifer's coins have a total value of $0.65 and Tom's coins have a total value of $3.75, what is the value of each type of coin?
Answers
Answer:
q = $0.05
e = $0.5
Step-by-step explanation:
13q = 0.65 equation 1
5q + 7e = $3.75 equation 2
in equation 1, divide both sides of the equation by 13
q = 0.65 / 13 = 0.05
Substitute for the value of q in equation 2
5(0.05) + 7e = 3.75
0.25 + 7e = 3.75
collect like terms
3,75 - 0.25 = 7e
3.5 = 7e
e = 0.5
what’s is the quotient for the rational expression shown below?
Answers
Answer:
D
Step-by-step explanation:
D is the correct answer
Emelina wrote the equation of a line in point-slope form as shown below.
(y + 4) = 3 (x + 2)
What is Emelina’s equation in slope-intercept form?
y = 3x + 2
y = 3x +10
y = 3x – 4
y = 3x – 10
Answers
Answer:
y=3x +2
Step-by-step explanation:
Expand:
(y+4) =3x +6
y= 3x+2
Answer:
y=3x +2
Step-by-step explanation:
pls help me pls
“how can u determine if the give lines are perpendicular”
Answers
Answer:
A, determine if they have slopes with opposite values.
Step-by-step explanation:
If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. Horizontal and vertical lines are perpendicular to each other i.e. the axes of the coordinate plane.
CAN SOMEONE HELP LIKE RN I NEED IT QUICK
Answers
Suppose each license plate in a certain state has three digits followed by three letters. The digits 4 and 5 are not used. So, there are 26 letters and 8 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?
Answers
The required, there are 8998912 possible license plates that can be generated using this format.
Here, we have,
There are 8 digits that can be used for each of the three digits on the license plate, with two digits (4 and 5) that cannot be used.
Therefore, there are 8 choices for each of the three digits,
giving us 8 x 8 x 8 = 512 possible combinations for the digits.
Similarly, there are 26 letters that can be used for each of the three letters on the license plate.
Therefore, there are 26 choices for each of the three letters, giving us 26 x 26 x 26 = 17576 possible combinations for the letters.
Total number of license plates = number of choices for the digits x number of choices for the letters
= 512 x 17576
= 8998912
Therefore, there are 8998912 possible license plates that can be generated using this format.
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Which statement about the polygons is true?
Answers
Based on the given polygon, the true statement on the polygons is that Polygon A is similar to Polygon B because Polygon B is a rotation of Polygon A.
How are the polygons related?Polygon A is related to Polygon B because to create Polygon B, Polygon A was dilated.
When a polygon is dilated, it means that it is either made to be larger in size, or smaller in size. In this case, Polygon A was made to be larger in size to create polygon B.
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HELPPP 100 POINTS !!!!!!!
Answers
The total cost of producing 8 widgets is $34.
What is a quadratic function?In Mathematics and Geometry, the standard form of a quadratic function is represented by the following equation;
ax² + bx + c = 0
Next, we would create a system of equation by using the data points provided above;
a(2)² + b(2) + c = 16
4a + 4b + c = 16 .....equation 1.
a(4)² + b(4) + c = 18
16a + 4b + c = 18 .....equation 2.
a(10)² + b(10) + c = 48
100a + 10b + c = 48 .....equation 3.
By solving the system of equations simultaneously, the values of a, b, and c are as follows;
a = 1/2
b = -2
c = 18
Therefore, the required quadratic function in standard form is given by;
ax² + bx + c = 0
c(x) = 1/2(x)² - 2x + 18
For the total cost of 8 widgets, we have:
c(8) = 1/2(8)² - 2(8) + 18
c(8) = 1/2 * 64 - 16 + 18
c(8) = 32 - 16 + 18 = 34
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Complete Question:
Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.
Find the total cost of producing 8 widgets.
Suppose that V and W are vector spaces, and let Hom(V, W) be the set of all linear transformations from V to W. Define addition and scalar multiplication on Hom(V, W) so that it is a vector space.
Answers
The definitions of addition and scalar multiplication on Hom(V, W) satisfy the vector space axioms, making Hom(V, W) a vector space.
To make Hom(V, W) a vector space, we need to define addition and scalar multiplication operations that satisfy the axioms of a vector space. Let's define these operations:
1. Addition:
Given two linear transformations T1, T2 ∈ Hom(V, W), we define their sum (T1 + T2) as a new linear transformation in Hom(V, W) such that for any vector v ∈ V,
(T1 + T2)(v) = T1(v) + T2(v).
2. Scalar Multiplication:
For a scalar c ∈ ℝ (real numbers) and a linear transformation T ∈ Hom(V, W), we define the scalar multiplication (cT) as a new linear transformation in Hom(V, W) such that for any vector v ∈ V,
(cT)(v) = c(T(v)).
These definitions of addition and scalar multiplication on Hom(V, W) satisfy the vector space axioms, making Hom(V, W) a vector space.
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HELP ASAP 1OO POINTS AND BRAINLY!!
What is the slope of the line that passes through the points (-8, -1)(−8,−1) and (-6, -2) ?(−6,−2)? Write your answer in simplest form.
Answers
\(\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(\\ \sf\longmapsto m=\dfrac{-2+1}{-6+8}\)
\(\\ \sf\longmapsto m=\dfrac{-1}{2}\)
Find the measure of each interior angle.
decagon, in which the measures of the interior angles are x+5, x+10, x+20 , x+30, x+35, x+40, x+60, x+70, x+80 , and x+90
Answers
Each interior angle of the decagon measures 150 degrees.
A decagon is a polygon with ten sides and ten interior angles. To find the measure of each interior angle, we can use the fact that the sum of the interior angles of a polygon with n sides is given by the formula (n-2) * 180 degrees.
In this case, we have a decagon, so n = 10. Substituting this value into the formula, we get (10-2) * 180 = 8 * 180 = 1440 degrees. Since we want to find the measure of each individual interior angle, we divide the total sum by the number of angles, which gives us 1440 / 10 = 144 degrees.
Therefore, each interior angle of the decagon measures 144 degrees.
However, in the given question, the angles are expressed in terms of an unknown variable x. We can set up an equation to find the value of x:
(x+5) + (x+10) + (x+20) + (x+30) + (x+35) + (x+40) + (x+60) + (x+70) + (x+80) + (x+90) = 1440
By solving this equation, we can find the value of x and substitute it into the expressions x+5, x+10, x+20, etc., to determine the exact measures of each interior angle.
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A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. The data list below shows what their favorite color patterns were, and the accompanying frequency table and bar graph represent these data. In the bar graph, the height of the blue-gray bar is 4, the height of the green bar is 9, and so on.
Suppose that, rather than being just a bar graph, the display you see above is a relative frequency bar graph. The vertical axis of the graph will be marked off in percentages, from 0 percent up to 30 percent. What will be the height of the green bar?
A.
15
B.
25
C.
9
D.
18
Answers
Answer:
D 18
Step-by-step explanation:
100% = 50 (all students)
1% = 100%/100 = 50/100 = 1/2 = 0.5
we get any percentage for any number by dividing the number by 1% (0.5) to see how often it fits in.
there are 9 votes for green.
9/ 0.5 = 18%
Translate into an algebraic expression: the product of the sum of a number and it’s reciprocal and the opposite of the cube of the number
Answers
If you purchase a reciprocal membership from the two museums, you can visit both at no charge.
What is a reciprocal of an algebraic expression?Mathematical expressions with variables, constants, coefficients, and algebraic operations are called algebraic expressions.
As a similar matter, the adjective reciprocal can also be used to denote something that is opposite or inversely connected (which is just about the opposite of what reciprocal is generally used to mean). A reciprocal membership is available from the two museums, allowing you access to both for free.
This fraction, turned upside down, is the reciprocal of a number. The reciprocal, then, has the top number, or numerator, on top and the bottom number, or denominator, of the original fraction on the bottom. Due to the fact that 1/6 is the inverse of 6/1 and 6 = 6/1, the reciprocal of 6 is 1/6.
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a survey was conducted in a local shopping mall. there were 75 woman and 150 men surveyed if 3/5 of the woman said they would like to receive flowers as a Valentine's Day gift but only a third of men said they would like to get flowers how many fewer woman responded they like to get flowers than men?