Answer:
The slope between these two points is m=-4.
Step-by-step explanation:
Greetings !
\(the \: equation \: for \: slope \: m \: is \\ m = \frac{Y₂-Y}{X₂-X₁}..substitute \: known \: values \\ m = \frac{ (-11 - 9) }{(3 - ( - 2)} \\ m = \frac{ - 20}{5} \\ m = - 4\)
I need help on rhis pls fastttttttt fastttttttt pls stytyt
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Answer:
60 slices
Step-by-step explanation:
Well, to start you must figure the amount of slices, to begin with. This is 9 x 8
this is = to 72.
Then you take 5/6 of 72/1 by multiplying across. to get 60
explain why 2a+3b=5ab
That's not correct. The terms 2a and 3b are not like terms, so we cannot combine them to get 5ab. We simply leave it as 2a+3b.
If you had 2a+3a, then it would simplify to 5a
Similarly, 2b+3b = 5b
Or you could have 2ab+3ab = 5ab
The key is that the variable portions must match up to be able to add them.
Ten students each attempted 10 free throws. This list shows how many free throws each student made. What is the median number of free throws made
The median number of free throws made is 5.5.
To find the median, we first need to arrange the number of free throws made in order from lowest to highest:
3, 4, 5, 5, 5, 6, 6, 7, 8, 9
There are 10 numbers in the list, so the median is the average of the fifth and sixth numbers.
(5 + 6) ÷ 2 = 5.5
Therefore, the median number of free throws made is 5.5.
The median is a measure of central tendency that is used to describe the middle value or values of a dataset. It is especially useful when dealing with datasets that have extreme values or outliers, which can skew the mean.
The median is found by ordering the values in the dataset from lowest to highest and then finding the middle value(s). If there are an even number of values, the median is the average of the two middle values.
In this case, there were an even number of values, so we took the average of the fifth and sixth numbers to find the median.
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suppose that shoe sizes of american women have a bell-shaped distribution with a mean of 8.04 and a standard deviation of 1.53 . using the empirical rule, what percentage of american women have shoe sizes that are less than 11.1 ?
The percentage of American women that have shoe sizes that are at least 11.1 is; 0.0015
Empirical Rule
We are given;
Mean; x' = 8.04
Standard deviation; σ = 1.53
Using the empirical rule, we can have the data either 1, 2, or 3 standard deviations from the mean.
Thus;
At 1 standard deviation from the mean, we have;
8.04 ± 1(1.53)
⇒ (6.52, 8.56)
At 2 standard deviations from the mean, we have;
8.04 ± 2(1.53)
⇒ (5, 11.08)
At 3 standard deviations from the mean, we have;
8.04 ± 3(1.52)
⇒ (3.48, 12.6)
We can see that the one with at least 12,6 is 3 standard deviations from the mean which from the empirical rule is 99.7%
Thus;
percentage of American women have shoe sizes that are at least 12.6 = 100% - 99.7% - 0.15%
P(x ≥ 12.6) = 0.15% = 0.0015
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A circle labeled Internal Medicine Doctors. It is connected to 4 other circles. Circle 1 is labeled Veterinarians. Circle 2 is labeled Epidemiologists. Circle 3 is labeled Virologists. Circle 4 is labeled Food Investigators. This web diagram presents different types of internal medicine doctors. Why is a web diagram a good choice for illustrating this information? A web diagram allows pictures to help with understanding. A web diagram shows what connects these different types of doctors. A web diagram compares and contrasts the doctors best. A web diagram looks best on the page.
Answer:
B
Step-by-step explanation:
I got it right on the assignment
Hope this helps :)
Answer:
B. A web diagram shows what connects these different types of doctors.
Step-by-step explanation:
3(-n+4)+5n=2n
a. n=3
b. no solution
c. infinitely many solutions
Answer:
no solutions
Step-by-step explanation:
3(-n+4)+5n=2n
Distribute
-3n +12 +5n = 2n
2n+12 = 2n
Subtract 2n from each side
12 = 0
This is never true so there are no solutions
Answer:
B. No Solution
Step-by-step explanation:
First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).
\(-3n + 12 + 5n = 2n\)
Next, you collect the like terms, in this case, the like terms are -3n and 5n.
\(2n + 12 = 2n\)
Finally, you will cancel equal terms on both sides of the equation (which is the 2n).
\(12 = 0\)
This makes the statement false for any value of n. Meaning that your answer is B, no solution.
Select one of the following functions to match the graph.
A. y = (7) x
B. y = (7)-x
C. y = (-7) x
D. y = (-7)-x
Answer:
B
Step-by-step explanation:
The explanation is attached below.
Graph the solution to this inequality on the number line.
−4m+3>11
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
help me please!!!!!!!!!
Answer:
B) 21/29
Step-by-step explanation:
An urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles. one marble is to be chosen from the urn without looking. what is the probability of choosing a red marble?
The probability of choosing a red marble is 1/6.
What is probability ?Probability is the chance of occurring a certain event out of total possible events that can order in a given situation.
According to the given question an urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles.
So there are total of ( 19 + 29 + 43 ) = 85 marbles.
∴ No. of sample space N(s) = 85.
No. of red marble N(red) = 19.
One marble is to be chosen from the urn without looking the probability of choosing a red marble P(red) is N(red)/N(s) which is
P(red) = 19/85
P(red) = 1/5.
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Fueleconomy.gov gives the city and highway fuel economy for all makes and models of vehicles back to 1984. The table
gives the city and highway fuel economy (mpg) for a random sample of ten 2021 vehicles
a. Find the equation of the LSRL. Write it below.
b. Find and interpret s.
C. Find and interpret the value of m2
The equation of the Least Square Regression Line which models the data for the city and highway fuel economy and interpreted values of it's parameters are :
Ŷ = 1.264X + 6.084The slope, s = 1.264, per unit increase in miles per gallon of 2021 car models. The intercept Value = 6.084, which is the least value of highway fuel economy a 2021 car model could have.The Least Square Regression Line produces a fitted model of the linear relationship between a given set of data.
Using technology such as Excel or a linear regression calculator, the linear model in the form y = a + bx produced by the data in the table attached is Ŷ = 1.264X + 6.084 ;
Where ; Ŷ = Predicted value of highway fuel economy. X = predictor variable, City Fuel economy. 1.264 = slope value; which is the rate of change in highway fuel economy per unit change in City Fuel economy. 6.084 = Intercept, which is the value of, highway Fuel economy when the city fuel economy is Zero.Therefore, the Least Square Regression Line shows that the there is a positive linear association between City and highway Fuel economy.
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If 7 is an element in the domain of f(x)= 6x-18/2, what is the corresponding element in the range?
The corresponding element in the range when 7 is an element in the domain is f(7)=33
Step-by-step explanation:
Given that the 7 is an element in the domain of f(x)
The function f is defined by f(x)=6x-18/2
To find the corresponding element in the range:
That is put x=7 in the given function f(x)
Therefore f(x) becomes
f(7) = 6(7)-18/2
=42-18/2
=42-9
=33
Therefore corresponding element in the range when 7 is an element in the domain is f(7)=33
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I really need help with part a and b, please help. Incorrect answers will be downvoted, correct answers will be upvoted. 1. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is of a second. p=00.00040.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 0.0185 0.02420.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 a) Find the real discrete Fourier transform for this data set. (b) Any term in the Fourier series can be written: ak Cos(kwt)+bk sin(kwt) =ck Cos(kwt+$k) ak Find the ck's and plot their amplitude on a bar graph vs. k to illustrate the relative size of each term in the series. Explain the significance of the plot
(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.
(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.
To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.
Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.
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Help me please I'll give brainliest. And PLEASE put all three answers.
Answer: you have to multiply by ft2 x 250 = the answer is 23.22576 divide by 1.45161 and this is your real answer = 89.16
Step-by-step explanation: you have to do what i told you to do above of me
Answer: 24 - Rectangle 1
Step-by-step explanation:
The two Rectangle 1's are the top and bottom rectangles. To find the area of a rectangle, you have to multiply length x width. You know that the bottom rectangle is identical to the top rectangle, so by solving for the bottom rectangle, we solve for the top!
The length of this rectangle at the bottom is 8, and the width is 3. 8 x 3 = 24. The area of the bottom and top rectangles (1) are 24.
The question wants you to multiply one rectangle with an area of 24 feet squared by 2, because there are two of the same rectangles (top and bottom). 24 x 2 = 42. The total area of the top and bottom rectangles is 42 square feet.
You can do the same with the other rectangles. Using length x width = area, you can then multiply that times two to get the area of two of the same rectangles. Here's one more example from the problem:
The largest rectangle from the rectangular prism is facing the front, the other is facing the back. The length of these two rectangles is 15, the width is 8.
length x width = area
15 x 8 = area
120 square feet = area
Now, multiply that by 2 and you get the area of both of the same rectangles. 240 square feet.
Now we have Rectangle 1 (x2) = 42, and another Rectangle (2 or 3) (x2) = 240. Now, all you have to do is find the area of the rectangle with the length of 15 and the width of three and multiply it by two to find the areas of all the triangles. Then, save all three answers: 42, 240, and the other answer. Then, add 42, 240, and the other answer together to get the Total Surface Area. Good luck!
Pump A and Pump B fill the pool in 35 minutes, Pump B and Pump C fill it in 40
minutes, and Pump A and Pump C fill it in 56 minutes. How many minutes will it take
all three pumps, working together, to fill the pool?
It will take all three pumps, Working together, 1.56 minutes to fill the pool.
The given information, we can write three equations as follows:
1) (1/A + 1/B)*35 = C ---(Equation 1)
2) (1/B + 1/C)*40 = C ---(Equation 2)
3) (1/A + 1/C)*56 = C ---(Equation 3)
We want how many minutes it will take all three pumps, working together, to fill the pool, so let's represent the time taken by all three pumps working together as "t".
When all three pumps work together, they can fill the pool in one minute, so their combined rate is 1/C.
Using the rate formula, we can write the following equation:
1/A + 1/B + 1/C = 1/t ---(Equation 4)
We have four unknowns (A, B, C, and t), so we need to solve for one of them to get the answer. Let's solve for "t".
First, we can simplify Equations 1, 2, and 3 as follows:
1) 1/A + 1/B = C/35
2) 1/B + 1/C = C/40
3) 1/A + 1/C = C/56
Next, we can substitute these equations into Equation 4 to get:
(C/35) + (C/40) + (C/56) = 1/t
Now, we can simplify and solve for "t":
LCD = 39200
1120C + 980C + 700C = 39200
2800C = 39200
C = 14
Substituting this value of "C" into any of the simplified equations, we can solve for "A" and "B". Let's use Equation 1:
1/A + 1/B = 14/35
5(A+B) = 98
A+B = 19.6
Now we can use A+B+C = 1/t to solve for "t":
t = 1 / (A+B+C) = 1 / (19.6 + 14) = 0.026 hours = 1.56 minutes
Therefore, it will take all three pumps, working together, 1.56 minutes to fill the pool.
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assume that there are 10 students in a class. the average grade on a test for the nine of the students is 85. the grade of the tenth student is 90. the average grade for the class will be
Answer:
85.5
Step-by-step explanation:
85 • 9 is 765
If you add 90 to 765 and then divide the sum by 10, you get 85.5.
all of the following represents the same ratio except 4:3 4/3 or 3 to 4
Answer:
3 to 4
Step-by-step explanation:
cause 4:3 can be written as 4/3 or 4 to 3
but 3 to 4 is written as 3:4 or 3/4
Answer:
3 to 4
Step-by-step explanation:
All of the other ratios are 4 to 3.
Which equation represents a line with a slope of -6/5
and a y-intercept of 1?
Answer:
y = -6/5x + 1
Step-by-step explanation:
The equation that represents a line with a slope of -6/5 and a y-intercept of 1 is y = -6/5x + 1
How to determine the equation?The given parameters are:
Slope, m = -6/5y-intercept = 1Let the variable of the equation be x.
A linear equation is represented as:
y = Slope * x + y-intercept
So, we have:
y = -6/5 * x + 1
Evaluate
y = -6/5x + 1
Hence, the equation is y = -6/5x + 1
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First to answer gets brainliest!
Answer:
it is the first one
Step-by-step explanation:
What is the range of the function f(x) = x^2 - 2x -15?*
For this problem, we are given a certain function and we need to determine its range.
The function is:
\(f(x)=x^2-2x-15\)This quadratic function has a minimum value in its range, which is represented by its vertex. The best way to determine the range is to find the coordinates of the vertex of this function, therefore we have:
\(\begin{gathered} x_{vertex}=\frac{-b}{2a}=\frac{2}{2}=1\\ \\ y_{vertex}=f(1)=(1)^2-2(1)-15=1-2-15=-16 \end{gathered}\)The minimum value in the range is -16, which means that the range is:
\(\lbrace f(x)|f(x)\geqslant-16\rbrace\)The correct option is the second one.
Explain whether or not the following table of values included a solution to the system of linear equations it represents.
Yes, the table contains the solution of the system of equations, and the solution is (7, 6).
The table of values incluedes a solution for the system of equations?Here we have a table that defines a system of equations of the form:
ya = f(x)
yb = f(x)
And a solution of that system is a point of the form:
yb = f(x) = ya
So we wan to find a pair such that for the same value of x, the values of ya and yb are the same ones.
We can see that when x = 6 that happens, then yes, the table has the solution to the system of equations, and the solutions is (6, 7)
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A and B are original partners with a partnership net book value of $200,000. Recorded net assets have a fair value of $220.000. Profit/oss percentages: A=60%, B=40%. C acquires 20% interest in capital for $45,000 cash. Prepare the journal entries to record the above transactions?
The journal entries to record the above transactions to calculate the profit and loss can be summarized as follows:
The journal entries for the above transactions are as follows:
1. Initial setup:
Dr. Partner A's Capital (Equity) $120,000
Dr. Partner B's Capital (Equity) $80,000
Cr. Partnership Net Book Value $200,000
2. Adjustment for fair value:
Dr. Partnership Net Book Value $20,000
Cr. Unrealized Gain on Revaluation $20,000
3. Investment by Partner C:
Dr. Cash (Asset) $45,000
Cr. Partner C's Capital (Equity) $45,000
The initial setup entry reflects the original partnership net book value of $200,000. It debits Partner A's capital with 60% ($120,000) and Partner B's capital with 40% ($80,000) of the net book value.
The adjustment entry accounts for the difference between the recorded net assets' fair value ($220,000) and the net book value ($200,000). The partnership net book value is increased by $20,000, representing the unrealized gain on revaluation.
The investment entry records Partner C's acquisition of a 20% interest in the partnership capital for $45,000 cash. Cash is debited, and Partner C's capital account is credited with the investment amount.
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please answer this asap i’m so confused on graphing
47. Find the probability that a point chosen at random would land in the triangle. Give your answer as a percent.
The probability that a point chosen at random would land in the inscribed triangle is 31.831%.
To find the probability that a point chosen at random would land in the inscribed triangle.
we need to compare the areas of the triangle and the circle.
Since the triangle is inscribed in the circle, the base of the triangle is equal to the diameter of the circle, which is twice the radius (2× 6 = 12m). The height of the triangle is equal to the radius of the circle (6m).
Using these values, we can calculate the area of the triangle:
A = (1/2) × 12m×6m = 36m²
The area of the circle can be found using the formula for the area of a circle: A = π ×radius².
Substituting the radius (6m) into the formula:
A = π×(6m)² = 36πm²
Now, to find the probability that a point chosen at random would land in the triangle.
we divide the area of the triangle by the area of the circle and multiply by 100 to express it as a percentage:
Probability = (36m² / 36πm²) × 100
Probability = (1 / π) × 100
Probability = (1 / 3.14159) ×100 = 31.831%
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The volume of a prism is 9 cubic yards. What is the volume in cubic ft
The volume of a prism is given as 9 cubic yards, and we need to find the volume in cubic feet.
To convert the volume from cubic yards to cubic feet, we need to know the conversion factor between these two units.
1 cubic yard is equal to 27 cubic feet. This conversion factor can be derived from the fact that 1 yard is equal to 3 feet, so the volume in cubic feet can be obtained by multiplying the volume in cubic yards by the conversion factor.
Given that the volume of the prism is 9 cubic yards, we can calculate the volume in cubic feet as follows:
Volume in cubic feet = Volume in cubic yards * Conversion factor
= 9 cubic yards * 27 cubic feet/cubic yard
= 243 cubic feet
Therefore, the volume of the prism is 243 cubic feet.
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Frank Pianki, the manager of an organic yogurt processing plant desires a quality specification with a mean of 16.0 ounces, an upper specification limit of 16.9 ounces, and a lower specification limit of 15.1 ounces. The process has a mean of 16.0 ounces and a standard deviation of 1.25 ounce. The process capability index (Cpk )= ____
The Process Capability Index (Cpk) is 0.24
The process capability index (Cpk) for the organic yogurt processing plant can be calculated as follows:
Cpk = min[(USL - μ) / (3σ), (μ - LSL) / (3σ)]
Where:
- USL is the upper specification limit (16.9 ounces)
- LSL is the lower specification limit (15.1 ounces)
- μ is the process mean (16.0 ounces)
- σ is the process standard deviation (1.25 ounces)
To calculate Cpk, we need to consider the specifications and the process performance. The formula compares the process variation to the specification limits. The numerator represents the distance between the process mean and the nearest specification limit, while the denominator represents three times the process standard deviation.
In this case, the process mean (μ) is 16.0 ounces, the upper specification limit (USL) is 16.9 ounces, and the lower specification limit (LSL) is 15.1 ounces. The process standard deviation (σ) is 1.25 ounces.
By plugging these values into the Cpk formula, we can determine the smaller value between the two ratios, representing the capability of the process to meet the specifications. This Cpk value indicates how well the process fits within the specification limits, with higher values indicating better capability.
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Which of the following points most closely represents
✓75?
d
e
f
{+
8.5
+
8.8
+
8.9
8.6
8.7
9
Choose 1 answer:
(А.
d
B
e е
f
A number line is just that a straight, horizontal line with numbers placed at even increments along the length. The point that most closely represents ✓75 is point d.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
To know the point that most closely represents ✓75, you must write the value of √75 in the decimal form.
√75 = 8.66
Thus, the value of √75 on the number line will lie between 8.6 and 8.7.
Hence, the point that most closely represents ✓75 is point d.
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The table shows the gallons of water in a pool over time.
A two column table with six rows. The first column, Time in minutes, has the entries, 0, 1, 2, 3, 4, 5. The second column, Water in Pool in gallons, has the entries, 50, 44, 38, 32, 26, 20.
Choose the term that describes the slope of the line of a graph representing the data in the table.
The slope of a line graphed to represent the volume of water in a pool over time would be described as
.
Answer:
6 gallons per minute
Step-by-step explanation:
Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is
Q = a + bt ........... (1)
Now, Q(t = 0) is given to be 50 gallons.
So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).
Now, two points on the graph are (0,50) and (1,44).
So, the slope = b = = - 6 gallons per minute.
Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)
The slope of the line graph representing the data would be described as "negative" or "decreasing."
We have,
The slope of a line represents the rate of change between two variables.
In this case, the variables are "Time in minutes" and "Water in Pool in gallons.
" The slope of the line graph representing this data would be described as "negative" or "decreasing."
This is because as time increases (going from 0 to 5 minutes), the amount of water in the pool is decreasing (going from 50 gallons to 20 gallons).
When the slope of a line is negative, it indicates a decreasing trend or a decrease in the value of one variable as the other variable increases.
Thus,
The slope of the line graph representing the data would be described as "negative" or "decreasing."
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Point p(3,0) partitions the line segment AB so that the ratio of AP to PB is 2:1 if point A is located at A (-3,-2) state the coordinates of B
The coordinates of B for the line segment AB where P divides it in the ratio 2: 1 is equal to (6 ,1).
Ratio that divides line segment AB is equal to,
AP : PB = 2 : 1
⇒ ( m : n ) = 2 : 1
Coordinates of point P (x ,y ) = ( 3 ,0 )
Coordinates of point A(x₁ , y₁ ) = ( -3, -2 )
Let us use the ratio of distances formula to find the coordinates of point B.
If point P divides the line segment AB in the ratio 2:1,
AP/PB = 2/1
Let the coordinates of point B be (x₂, y₂).
Use the midpoint formula to find the coordinates of the midpoint of the line segment AB.
which is also the coordinates of point P.
[ (mx₂ + nx₁ ) / (m + n) , (my₂ + ny₁ ) / (m + n) ] = ( x , y )
Substitute the values we have,
⇒ [ (2x₂ + (1)(-3) ) / (2 + 1) , (2y₂ + (1)(-2) ) / (2 + 1) ] = ( 3 , 0 )
Equate the corresponding values we get,
⇒ 2x₂ -3 / 3 = 3 and 2y₂ -2 / 3 = 0
⇒x₂ = 6 and y₂ = 1
Therefore, the coordinates of point B for the line segment AB are (6 ,1).
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Explain how you can use equivalent fractions to add a fraction with a denominator of 100 to a fraction with a denominator of 10.
Answer: 10/100 is 1/10
Step-by-step explanation: