Answer:
36
Step-by-step explanation:
30% of 120 is 120 x 0.3
120 x 0.3 =36.
3 out of 25 cookies are oatmeal. What percent of the cookies are NOT oatmeal?
Answer:
0.75
Step-by-step explanation:
88% of the cookies are not oatmeal.
2. Find the distance between M(-3, 1) and N(2, 8) on a
coordinate plane.
F 6.1 units
G 6.9 units
H 7.3 units
J 8.6 units
Answer:
D=74
D solution 8.60233
Step-by-step explanation:
what type of statistics is used to estimate how likely it is that a statistical result based on data from a random sample is representative of the population from which the sample sia sssumed to have been selecteed
We use Inferential Statistics is used to estimate how likely it is that a statistical result based on data from a random sample is representative of the population.
Given that;
What kind of statistics is used to gauge the likelihood that a statistical finding based on information from a random sample is representative of the population the sample is presumed to have been drawn from?
Inferential Statistics:
You attempt to conclude using inferential statistics that go beyond the immediate facts alone. For instance, we use inferential statistics to try to infer what the population would think from the sample data. Alternately, we utilize inferential statistics to assess the likelihood that an observed difference between groups in this study is a reliable one or one that may have occurred by chance. Descriptive statistics are used to simply describe what's happening in our data, while inferential statistics are used to conclude more general conditions from our data.
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I need help please!
Answer:
Tell me you address right now!!!
Step-by-step explanation:
I am gonna call police for help!
Calculate the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria: 95% confidence, within 5 percentage points, and a previous estimate of 0.25 288.12 0/2 pts Question 16 Calculate the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria: 95% confidence, within 5 percentage points, and a previous estimate is not known 384
the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.
The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:
95% confidence, within 5 percentage points, and a previous estimate of 0.25.
The formula to calculate the sample size required for the study to determine the proportion is given by:
`n = Z²pq / E²`
Where n = sample size
Z = z-value (1.96 at 95% confidence interval)
E = margin of error
p = estimated proportion of the population
q = 1 - pp
q = estimated proportion of population without the condition (1 - 0.25 = 0.75)
Given,
Z = 1.96E = 0.05p = 0.25q = 0.75
Substituting these values in the above formula, we get;
`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`
Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.
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If 7^9/7^n = 7^3, then n is___.
12
01
-3
3
Answer: 6, but it isn't in your answer choices
Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6
Naomi measured the floor of her bedroom, which is rectangular. It is 8 feet wide and 10 feet from one corner to the opposite corner. How long is the bedroom unit
Answer:
18 feet
Step-by-step explanation:
Which value of x is in the domain of f(x) = \sqrt {x - 8}f(x)=
x−8
?
A. X = 10
B. X = 7
C. X = –8
D. X = 0
The value of x in the domain of f(x) is x = 10.option (A)
To find the domain of the function f(x) = √(x - 8), we need to consider the values of x for which the expression under the square root is non-negative.
That is, x - 8 ≥ 0
Simplifying, we get x ≥ 8
Therefore, any value of x that is greater than or equal to 8 is in the domain of the function.
Out of the given options, only option A. x = 10 satisfies this condition.
So, the value of x in the domain of f(x) is x = 10.
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which graph best represents the solution to the following system -3x + y< 1
Answer:
Step-by-step explanation:
2^45
tickets to a movie at a small theater cost $ 15 $15 for one showing if at least 100 100 tickets are sold. for every $ 1 $1 decrease in ticket price, the number of tickets sold increases by 10 10. what price must the theater charge per ticket in order to maximize their revenue?
The $2.25 must the theatre charge per ticket in order to maximize their revenue.
Define the term maximum revenue?According to your financial status, maximum revenue is the most amount of money your company may make in a given fiscal year.When the derivative is equal to zero, a given function's maximum value occurs. Therefore, in order to maximize revenue, locate the revenue function's first derivative.For the stated question.
Let the revenue generated be 'R'.
The price of ticket after reduction of $1 = x.
Total tickets = 100
Using the revenue equation;
Revenue = (Number of ticket)X(price per ticket)
R = (100 - 10x)(15 + x)
R = 1500 - 10x² -150x + 100x
R = 1500 - 10x² -50x
For the maximum revenue-
x = -b/2a = 50/2(-10)
x = -50/20 = -2.25
Thus, the $2.25 must the theatre charge per ticket in order to maximize their revenue.
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Employees of a local university have been classified according to gender and job type. If an employee is selected at random, what is the probability that the employee is a member of the hourly staff, given that the employee is female?
Job Male Female
Faculty Member 55 5
Salaried Staff 15 25
Hourly Staff 30 20
The probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.
We need to calculate the conditional probability of an employee being a member of the hourly staff given that the employee is female and all the employees of a local university have been classified according to gender and job type.
The given table is:
Job Male Female
Faculty Member 55 5
Salaried Staff 15 25
Hourly Staff 30 20
The total number of female employees is 5+25+20 = 50.
We are to find the probability of an employee being a member of the hourly staff given that the employee is female.
Mathematically, we can represent the above statement as:
P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)
Now,P(Hourly staff and Female) = 20/100 * 50 = 10P(Female) = 50/100
Therefore,P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)= 10 / 50= 1/5 = 0.2
Therefore, the probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.
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Consider the first order differential equation y^1 + (t/(t^2 - 25)) y = (e^t / (t - 7))
For each of the initial conditions below, determine the largest interval a < t
Enter your answers as inequalities, not standard interval notation.
a. y(-7) = -2.1
b. y(-1.5) = 2.6
c. y(0) = 0
d. y(6.5) = 2.6
PLEASE HELP ME! IT WAS DUE!
Answer:
one apple: 75 cents
one orange: 60 cents
Step-by-step explanation:
let x be price of one apple
let y be price of one orange
3x + 4y = 4.65
5x + 8y = 8.55
we can do elimination, substitution, or graphing.
this is elimination: (we're eliminating the x in this case to find y, and then use y to find x)
ORIGINAL EQUATIONS: (we're multiplying by 5 so we can eliminate x)
3x + 4y = 4.65
5x + 8y = 8.55
5(3x + 4y = 4.65) = 15x + 20y = 23.25
3(5x + 8y) = 8.55 = 15x + 24y = 25.65
(distribute, and then subtract to get one equation and eliminate x)
15x + 20y = 23.25
- 15x + 24y = 25.65
------------------------------
0 - 4y = - 2.4
so we got that, now we make it this: -4y = -2.4
divide both sides by -4.
-4y = -2.4
----- -----
-4 -4
y (orange variable) = 0.60
therefore, one orange cost 60 cents.
plug y (the 60 cents) back into one of the original equations (either works) and solve for x.
3x + 4y = 4.65
5x + 8y = 8.55
let's use this equation: 5x + 8y = 8.55
5x + 8(0.6) = 8.55
5x + 4.8 = 8.55
-4.8 -4.8
5x = 3.75
---- ------
5 5
x = 0.75
therefore, one apple cost 75 cents.
(also, there was an easier number to multiple the equations by)
3x + 4y = 4.65
5x + 8y = 8.55
We could have multiplied (3x + 4y = 4.65) with 2, distributing and bringing it to 6x + 8y = 9.30
Then subtract 6x + 8y = 9.30 from 5x + 8y = 8.55, and you would have solved and gotten x just fine, then plugged x back in to find y)
sorry this answer is so long...good luck :))
a random sample of 120 students has a test score average with a standard deviation of 9.1. find the margin of error for the 90% onfidence interval.
Therefore, the margin of error for the 90% confidence interval is 1.32. This means that you can be 90% confident that the true population mean falls within a range of 1.32 around the sample mean.
To find the margin of error for a 90% confidence interval, you can use the following formula:
margin of error = z * standard deviation / sqrt(n)
Where z is the z-score for the desired level of confidence (in this case, 90%), standard deviation is the standard deviation of the sample, and n is the sample size (in this case, 120).
Plugging in the values, you get:
margin of error = 1.645 * 9.1 / sqrt(120)
= 1.645 * 9.1 / 11.1
= 14.72 / 11.1
= 1.32
Why is mean the term for average?The middle of the set of values is represented by the mean. This value is the mean of all values in the data collection. In statistics, the middle quantity, referred to as the mean, is known as the average.
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Regions of earth experience seasons at different times at which position in the orbit of earth would City X have summer?
A) 2
B) 1
C) 3
D) 4
Answer:
it is C
Step-by-step explanation:
hope it helps
City X would have summer at position 4.
The image shows the rotation of the earth around the sun and a city in the northern hemisphere is marked with a letter X.
In the positions shown on the earth the stations are:
position 1 would be autumn in the northern hemisphere and spring in the southern hemisphereposition 2 would be winter in the northern hemisphere and summer in the southern hemisphere.position 3 would be spring in the northern hemisphere and autumn in the southern hemisphere.Position 4 would be summer in the northern hemisphere and winter in the southern hemisphere.The distribution of the seasons originates from the position of the earth concerning the sun and the areas most exposed to solar rays, as can be seen in position 4, the northern hemisphere is more exposed to solar rays, while the south is less exposed.
According to the above, the correct answer is 4. In this position, the north is in summer and the south in winter.
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(x, y) ---> (cx, cy)
(x, y) ---> (-y,x)
(x, y) ---> (-x,y)
(x,y) ---> (-x .-y)
(x, y) ---> (y.-x)
(x,y) ---> (x+h, yuk)
(x, y) ---> (x,-Y)
Answer: Umm
Step-by-step explanation:
In 5 hours a small plane can travel downwind for 4000 kilometers
or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.
write as an equation
Answer:
the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
Step-by-step explanation:
Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so
5(V - v) = 4000
V - v = 800 (1)
For upwind movement, since the plane travels 3000 km in 5 hours, so
5(V + v) = 3000
V + v = 600 (2)
adding equations (1) and (2), we have
V - v = 800
+
V + v = 600
2V = 1400
V = 1400/2 = 700 km/h
subtracting equations (2) from (1), we have
V - v = 800
-
V + v = 600
-2v = 200
v = -200/2 = -100 km/h
So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
The width of an arch is 1.4 m and the semicircle at the top begins at a height of 1.9 m. What is the minimum amount of material in square metres needed to cover the whole arch so you cannot see through it?
Answer:
The minimum amount of material in m^2 that will be needed to cover the whole arc will be 3.43 m^2
Step-by-step explanation:
This arc can be divide into two shape; a semi circle with a diameter of 1.9 m, and a rectangle with a width 1.9 m and a height of 1.4 m
For the semicircle, the area = \(\frac{\pi d^{2} }{4}\) ÷ 2
where d is the diameter
==> \(\frac{3.142 * 1.4^{2} }{4}\) ÷ 2
==> 1.539 ÷ 2 = 0.7695 m^2
For the rectangle, area = width x height
==> 1.4 x 1.9 = 2.66 m^2
Total area = 0.7695 + 2.66 = 3.43 m^2
This is the minimum amount of material that will be needed to cover the whole arc.
Let =[[1,2,],[3,2,1+],[2,2,2+c]] where , , and c are variables. =[[0,2+c,−],[3,+c,−1],[,3,−]] where , , and c are the same variables as in . What is the value of + ? Please store the value into a string FG_sum written with valid python code formatting (e.g. FG_sum = "[[1, 2, a], [3, 2, 1 + b], [2, 2, 2 + c]]"). (Note you are encouraged to do this by hand.)
The value of the expression +, can be determined by performing matrix addition on the given matrices and then evaluating the resulting expression. Let's proceed with the calculations: Given matrices:
A = [[1, 2, 0], [3, 2 + c, -1], [2, 2 + c, 2 + c]]
B = [[0, 2 + c, -3], [3, c, -1], [0, 3, -1]]
Performing matrix addition on A and B, we add the corresponding elements:
A + B = [[1 + 0, 2 + (2 + c), 0 + (-3)],
[3 + 3, (2 + c) + c, -1 + (-1)],
[2 + 0, (2 + c) + 3, (2 + c) + (-1)]]
Simplifying further, we get:A + B = [[1, 4 + c, -3],
[6, 2 + 2c, -2],
[2, 5 + c, 1 + c]
Therefore, the value of + is equal to the matrix [[1, 4 + c, -3], [6, 2 + 2c, -2], [2, 5 + c, 1 + c]].
We can store this value in the string FG_sum using valid Python code formatting as follows:
FG_sum = "[[1, 4 + c, -3], [6, 2 + 2 * c, -2], [2, 5 + c, 1 + c]]"
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which of the following points is on the unit circle
The required answer is the all of the given points (A, B, C, and D) are on the unit circle.
The unit circle is a circle with a radius of 1 unit centered at the origin of a coordinate plane. Points on the unit circle can be represented by their coordinates (x, y), where x is the cosine of the angle and y is the sine of the angle.
To determine which of the following points is on the unit circle, we need to check if the coordinates satisfy the equation x^2 + y^2 = 1. If the coordinates satisfy this equation, then the point is on the unit circle.
consider the points given and check if they are on the unit circle:
- Point A: (1, 0)
- Point B: (0, -1)
- Point C: (-√2/2, √2/2)
- Point D: (0, 1)
Checking each point:
- Point A: (1, 0)
- 1^2 + 0^2 = 1 + 0 = 1
- The coordinates satisfy the equation, so point A is on the unit circle.
- Point B: (0, -1)
- 0^2 + (-1)^2 = 0 + 1 = 1
- The coordinates satisfy the equation, so point B is on the unit circle.
- Point C: (-√2/2, √2/2)
- (-√2/2)^2 + (√2/2)^2 = 2/4 + 2/4 = 4/4 = 1
- The coordinates satisfy the equation, so point C is on the unit circle.
- Point D: (0, 1)
- 0^2 + 1^2 = 0 + 1 = 1
- The coordinates satisfy the equation, so point D is on the unit circle.
In conclusion, all of the given points (A, B, C, and D) are on the unit circle because their coordinates satisfy the equation x^2 + y^2 = 1.
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how much time will it take for a bug to travel 5m across the floor if it is traveling at 0.5m/s?
Answer:
10 seconds
Step-by-step explanation:
Every second the bug travels 0.5m/s or 0.5 meters per second.
Given that, every 2 seconds the bug will travel a full 1 meter.
To solve this one can simply divide 5m by 0.5 and get 10 seconds.
Solve. x/4 + ½ = 1/8
x = ____ (Simplify your answer.)
Answer:
\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)
\( \frac{x}{4} = - \frac{3}{8} \)
\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.
x/4 + 1/2 = 1/8
Take the 1/2 term on the other side,
x/4=1/8 - 1/2
Taking the LCM on the Right side,
x/4 = (1-4) / 8
x/4 = -3/8
Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,
x = ( -3/8) * 4
x = -3/2
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
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Iris's checking account pays simple interest at 4% per year. She has $180 in her account. Write a linear function to model the amount of money in her checking account at any time t.
A(t)=
The amount of money in Iris's checking account can be modeled by a linear function of the form:
y = mt + b
where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.
In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:
y = 0.04t + 180
For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.
please explain correctly how to get the correct answer thank you.
Answer:
Option C
Step-by-step explanation:
First, knowing that two angles on a horizontal line split by a vertical line at any angle is equal to 180 degrees, I try to find which of the combinations of angle x and z equal 180.
A. x = 63, and z = 104 and together they equal 170, so not A
B. x = 76 and z = 63 and together they equal 139 so not B
C. x = 76 and z = 104 and together they equal 180 so it could be C, but we must check D to make sure.
D. x = 63 and z = 76 and together they equal 139 so not D.
From all of this it must be option C
What are the MRSs? Determine if there is a diminishing MRS
a. U(x,y)=3x+y
b. U(x,y)=x.y
c. U(x,y)=x⋅y
d. U(x,y)=x2−y2
e. U(x,y)=x+yx.y 3.
Consider each of a. U(x,y)=x0.1y0.4 b. U(x,y)=min(αx,βy) c. U(x,y)=αx+βy calculate the following i. Demand curves for x and y ii. Indirect utility function iii. (Indirect) expenditure function iv. Show that the demand curve is homogeneous in degree zero in terms of income and prices
a. The MRS is constant (not diminishing) at 1/3.
U(x,y) = 3x + y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / 3
The MRS is constant (not diminishing) at 1/3.
b. The MRS is diminishing because as y increases, the MRS decreases.
U(x,y) = x * y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / y
The MRS is diminishing because as y increases, the MRS decreases.
c. The MRS is diminishing because as y increases, the MRS decreases.
U(x,y) = x * y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / y
Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.
d. The MRS depends on the ratio of y to x and can vary.
U(x,y) = x^2 - y^2
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x
The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.
e. The MRS depends on the values of x and y and can vary.
U(x,y) = x + y / (x * y)
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)
The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.
Now let's move on to the second part of the question:
For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.
To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.
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b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)
(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.
To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.
If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).
If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.
Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).
(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.
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Complete question:
The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.
(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).
c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)
A garbabge cn shape like a rectangular prism the lenght is 8 feet the width is 4 feet and the height is five feet what is the volume
Answer:
160 feet³
Step-by-step explanation:
Volume of a rectangular prism = length x breadth x height
8 feet x 4 feet x 5 feet = 160 feet³
what is 3(x+2)-5x simplified
Answer:
6-2x
Step-by-step explanation:
=3x+6-5x
=6-2x
Answer:
-2x + 6
Step-by-step explanation:
3(x+2)-5x =
3x + 6 - 5x =
-2x + 6
On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). what is theta if 0°
On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). theta if 0° is 30 degrees.
Describe degree.The measurement of an angle is expressed in terms of degrees. Radians and degrees are the two most often used units for measuring angles. In actual geometry, the angle is always measured in degrees. Degree is denoted by the sign °. (degree symbol). One full rotation is equal to 360 degrees (sometimes written as 360°), which is the measurement of a complete angle in degrees. The unit of measurement for angles is the degree. Since radians are the SI unit for measuring angles, it is not a SI unit. In geometry, we typically use a protractor to measure angles in degrees. In most cases, a protractor is utilized in schools to measure angles in order to address various mathematical issues.
Given
x = √3/2
y = 1/2
theta = arctan(y/x)
theta = arctan(1/2÷√3/2)
theta = arctan(1/2 * 2/√3)
theta = arctan(1/√3)
theta = 30°
On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). theta if 0° is 30 degrees.
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35,000 divided by 120
Answer:
291.666666667
Step-by-step explanation:
Rounds to 291.7
Answer:
35000/120 = 291 and 2/3
Step-by-step explanation: