Simplify the radical expression by rationalizing the denominator. 4/√10 A. 2√10 B. 2√10/5 C. 10√4 D. √50/10
Answer:
Its 2√10/5. So B.
Step-by-step explanation:
I did it on paper.
A painter bought 12 gallons of paint, just
enough to cover two rooms. One room is
twice the size of the other and requires
three coats of paint. The smaller room
requires only two coats. Then the client
decided not to paint the smaller room
after all.
Let x be the number of gallons it takes for one
coat of paint in the large room and y the
number for one coat of paint in the small room.
How many gallons of paint will be left?
Answer:
3 gallons of paint hope it helps my guy
Fin the Interquartile Range
4|1 2 3 5 5 6
5|1 1 8 8 8 9
6|0 0 0 1 2 5
7|1 1
The interquartile range of the stem and leaf plot is 6.
What is the interquartile range?The table given is a stem and leaf plot. A stem and leaf plot is a table that divides a number into a stem and a leaf. The stem is the tens digit and the leaf is the unit digit.
The interquartile range is the difference between the third quartile and the first quartile.
Third quartile = 3/4(n + 1) = 61
First quartile = 1/4 x (n + 1) = 55
Interquartile range = 61 - 55 = 6
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A group of cyclists recorded the distance they have traveled.
Draw a line plot and answer the questions below.
Name
Gina
Rey
Faye
Mark
John
James
Albert
William
Nathan
Kate
Mary
Risa
Paul
Abi
Joan
Distance in
miles
40 1/2
50
35 3/4
60
45
55 1/4
60
45
40 1/2
50
45
40 1/2
60
40 1/2
35 3/4
Title:
1. How many cyclists were there?
2. What was the longest distance traveled?
3. How many cyclists traveled less than 50 miles?
4. What was the most common distance traveled by
the cyclists?
5. How many more cyclists traveled 45 miles than
55 1/4 miles?
6. How many cyclists traveled more than 45 miles
A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.
The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.
Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.
Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.
A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
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helphelphelphelp
i need help quick
whoever answers this first..
i will give them 100 points
Answer:
Decreased by 19%.
-------------------------------
Decrease by of x 10% can be shown as a product of x and:
100% - 10% = 90% = 0.9Same applies to the second decrease, then we get a final number:
x*0.9*0.9 = 0.81 xIt represent a one off decrease of:
1 - 0.81 = 0.19 = 19%Hence the answer is 19%.
Answer:
19%
Step-by-step explanation:
let's start from 100 and remove 10%100 - 100/10 = 90
let's take 10% off again90 - 90/10 = 91
find the difference between 100 and 81100 - 81 = 19%
for a better understanding look at the figure
The answer I put is wrong. SO don't put that as a answer. NEED TO EXPLAIN VERY IMPORTANT
Brainleist
Answer:
Solution given:
Annie needs 250 lb of cement to fix the outer step.
Each bag hold 40 lb of cement.
Now
40 lb =1bag
we need
250lb= ? bag.
we have
no of bag =needed lb/1 bag's lb=250/40=250/40=6.25
we do not need more than 7 bags
Annie needs 7 bags.
So
The required inequality is:
b≥7.
Cuanto es : Siente mas que cuatro veces un número igual a 13?
Respuesta:
O número es 1.5
Explicacion paso-a-paso:
No sabemos cual o número, entonces o llamamos de x.
Siente mas que cuatro veces un número
7 + 4x
Igual a 13:
7 + 4x = 13
4x = 13 - 7
4x = 6
x = 6/4
x = 1.5
O número es 1.5
Suppose that an individual has a body fat percentage of 19.7% and weighs 157 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answer:
31
Step-by-step explanation:
B and C are sets of real numbers defined as follows.
In the picture we have a plot of the sets B (in blue) and C (in red).
We can write the sets in the interval notation:
\(\begin{gathered} B=(-\infty,3\rbrack \\ C=(5,\infty) \end{gathered}\)Q) We want to calculate the union and the intersection of those sets.
A)
1) B U C = union of B and C
The union of B and C sets are all the elements that belongs to B or C. Using the sets written in interval notation we see that:
\(B\cup C=(-\infty,3\rbrack\cup(5,\infty)\)2) B ∩ C = insersection of B and C
The inserction of B and C sets are all the elements that belongs to B and C at the same time. From the graph of above we see that there are not elements that belongs to B and C at the same time, so the inserction does not has any elements, so the intersection of the sets is the emphy set (∅):
\(B\cap C=\varnothing\)So, in summary the answer is:
\(\begin{gathered} B\cup C=(-\infty,3\rbrack\cup(5,\infty) \\ B\cap C=\varnothing \end{gathered}\)Hiking Two hikers are walking along a marked trail. The first hiker starts at a
point 6 mi from the beginning of the trail and walks at a speed of 4 mi/h. At the
same time, the second hiker starts 1 mi from the beginning and walks at a speed
of 3 mi/h.
a. What is a system of equations that models the situation?
b. Graph the two equations and find the intersection point.
C. Is the intersection point meaningful in this situation? Explain
Answer:
You can find your answer here
(at quizlet. Its not letting me post the link tho)
Step-by-step explanation:
(just log into your account and it will let you see it)
Lester Hollar is vice president for human resources for a large manufacturing company. In recent years he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months. Below are the results. At the .05 significance level, can he conclude that the number of absences has declined? Estimate the p-value.
Employee Before After
1 6 5
2 6 2
3 7 1
4 7 3
5 4 3
6 3 6
7 5 3
8 6 7
Answer:
t >± 1.895
t= 0.1705
Step-by-step explanation:
The null and alternative hypotheses are
H0: μd=0 Ha: μd>0
Significance level is set at ∝= 0.05
The critical region for t df=7 t >± 1.895
The test statistic under H0 is
t = d/ sd/ √n
Which has t distribution with n-1 degrees of freedom
Employee After Before d = after - before d²
1 6 5 1 1
2 6 2 4 16
3 7 1 6 36
4 7 3 4 16
5 4 3 1 1
6 3 6 -3 9
7 5 3 2 4
8 6 7 -1 1
∑ 14 84
d`= ∑d/n= 14/8= 1.75
sd²= 1/8( 84- 14²/8) = 1/8 ( 84 - 24.5) = 59.5
sd= 7.7136
t= 3/ 7.7136/ √8
t= 0.1705
Since the calculated value of t= 0.1705 < ± 1.895 therefore reject the null hypothesis at 5 % significance level . On the basis of this we cannot conclude that the number of absences has declined.
What is the length of the missing leg in the triangle below? 15 yd 가 12 yd
We have a right triangle, we can use the Phytagorean Theorem in order to find the missing side
\(c^2=a^2+b^2\)we have
c=15
a=12
b?
we clear b of the formula above
\(b=\sqrt[]{c^2-a^2\text{ }}\)then we substitute the values
\(\begin{gathered} b=\sqrt[]{15^2-12^2} \\ b=9 \end{gathered}\)the answer is
b=9 yards
A drapery store manager was interested in determining whether a new employee can install vertical blinds faster than an employee who has been with the company for two years. The manager takes independent samples of 10 records of installations times of vertical blinds of each of the two employees and computes the following information. Test whether the new employee installs vertical blinds faster, on the average, than the veteran employee, at the level of significance 0.05.
New Employee Veteran Employee
Sample Size 10 10
Sample Mean 22.2 min 24.8 min
Standard Deviation 0.90 min 0.75 min
Required:
What is the appropriate conclusion for this test?
Answer:
we arrive at the conclusion that the new employee installs the vertical blinds faster on average.
Step-by-step explanation:
null hypothesis; m₁-m₂ =0
alternative hypothesis; m₁-m₂<0
Given the information in this question, we first have to solve for the t statistic
\(t=\frac{22-24.8}{\sqrt{\frac{0.90^{2} }{10}+\frac{0.75^{2} }{10} } }\)
\(t=\frac{-2.6}{\sqrt{o.081+0.05625} }\)
\(t=\frac{-2.6}{0.37047}\)
t = -7.018
the degree of freedom = n₁+n₂-2
= 10+10-2
= 18
Alpha α = 0.05
from these results the t critical value = -1.734
because the test statistic -7.018 < -1.734,
at 0.05 level of testing, we arrive at the conclusion that the new employee installs the vertical blinds faster on average than the veteran.
Andre wants to buy a new car. Gas is so expensive; Andre wants to purchase a
car that has the best gas millage rate.
•
Car 1 has gas mileage that can be described as y = 25x, where x is the
number of gallon of gas used and y is the total miles driven.
Car 2 has he gas mileage rate displayed in the table below.
Number of
Gallons of
Gas
2
5
7
8
11
60
150
210
240
330
Which car should Andre buy? How many more miles per gallon can he
drive in this car than the other car?
Answer: Andre should buy Car 2. Brainliest?
Step-by-step explanation:
To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.
For Car 1: y = 25x
This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).
For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:
For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).
For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).
For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).
For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).
For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).
Therefore, Car 2 has a consistent gas mileage of 30 mpg.
From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.
Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.
ill give brainly and 10 points hurry please
Answer:
B
Step-by-step explanation:
it cant be a or c because if it is a negative then there is no need to put a + sign or add another - sign
Answer:
A
Step-by-step explanation:
Let's get the answer.
Suppose the question was the distance between 12 and 1. You would write it as 12 - 1 = 11. So you have to pick an answer that looks like this example.
B: is actually 11 12 -1 = 11
C: is 12 +(-1) = 12 - 1 which also gives 11
D: -1 -12 = -13. You are not really really with a distance here. You are combining 2 negative numbers.
So the answer is A.
-12 - (-1) = -12 + 1 = - 11
The results of a survey of common allergies was organized into a Venn diagram. Circles D, C, and P overlap. Circle D contains 15. Circle C contains 18. Circle P contains 9. The overlap of circles C and D contains 7. The overlap of circles D and P contains 12. The overlap of C and P contains 10. The overlap of all 3 circles contains 1. Answer the questions about the following sets: D = {x | x is a person allergic to dogs}; C = {x | x is a person allergic to cats}; P = {x | x is a person allergic to pollen} How many people are not allergic to any of the three choices? How many people are allergic to all three choices? How many people are allergic to both dogs and cats but not allergic to pollen? How many people are allergic to cats only?
Answer:
first blank: 22
second blank: 1
third blank: 7
fourth blank: 18
Step-by-step explanation:
edge 2020
Answer: 22, 1, 7, 18
The results of a survey of common allergies was organized into a Venn diagram.
Circles D, C, and P overlap. Circle D contains 15. Circle C contains 18. Circle P contains 9. The overlap of circles C and D contains 7. The overlap of circles D and P contains 12. The overlap of C and P contains 10. The overlap of all 3 circles contains 1.
Answer the questions about the following sets:
D = {x | x is a person allergic to dogs}; C = {x | x is a person allergic to cats}; P = {x | x is a person allergic to pollen}
How many people are not allergic to any of the three choices?
✔ 22
How many people are allergic to all three choices?
✔ 1
How many people are allergic to both dogs and cats but not allergic to pollen?
✔ 7
How many people are allergic to cats only?
✔ 18
if exchange rate is#420 to a $, then #200.000.00 in $
Answer:
$476.19
Step-by-step explanation:
Given data
Exchange rate
We are told that #420 represents $1
We want to find the dollar equivalent of #200,000.00
if #420 represents $1
then #200,000 represents x
cross multiply
x= #200,000/420
x= $476.19
Hence the eqivalent is $476.19
help please …’dncrn rncrn
Answer:
-8
Step-by-step explanation:
firstly, we start by making them have the same base.
8^y = 2^3y
16^y+2 = 2^(4y + 8)
since the bases are equal we can just equate the powers.
3y = 4y + 8
y = -8
Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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Is this relation a function?
Answer:
True
Step-by-step explanation:
First two points are inverse of last two points, all points reflects each other over y = -x
Keisha wants to estimate the percentage of managers at her company that hold an MBA. She surveys 320 managers and finds that 70 hold an MBA. Find the margin of error for the confidence interval for the population proportion with a 90% confidence level.
Answer:
The margin of error is of 0.038 = 3.8%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
For this problem, we have that:
\(n = 320, \pi = \frac{70}{320} = 0.21875\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(M = 1.645\sqrt{\frac{0.21875(1-0.21875)}{320}}\)
\(M = 0.038\)
The margin of error is of 0.038 = 3.8%.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D) 14 x Pi
Step-by-step explanation:
Answer:
\(14*\pi\)
Step-by-step explanation:
The equation for calculating the circumference of a circle is \(C=\pi D\) where C is the circumference and d is the diameter.
First, you would multiply the radius by 2 to find the diameter and place it into the equation to get your anwer:
\(14*\pi\)
(a) Calculate the mean, median, and mode of the data.
If your answer is not a whole number, enter it as number rounded to the nearest integer.
Mean =
60
Median =
60
Mode = 61
(b) What measure of central tendency, if any, best represents the data?
Mean
Median
Mode
All three represent the data equally well
Answer:
Step-by-step explanation:
what you see mode mean median;what i see the moleecur stricture of 4dsn_eix+dwk x sjsw39i4
The vertices of triangle ABC are A(−4, 3), B(4, 3), and C(−4, −6). The triangle is dilated with a scale factor of 3. Estimate the perimeter of the dilated figure to the nearest whole number.
The perimeter of the image of the triangle is approximately equal to 87 units.
How to determine the perimeter of the image of a triangle
In this problem we find the coordinates of the vertices of a triangle: A(x, y) = (- 4, 3), B(x, y) = (4, 3), C(x, y) = (- 4, - 6), of which we must determine the perimeter of its image, which is the result of a scale factor of 3. The perimeter is the sum of the lengths of the triangle. The length of each side of the image of the triangle can be found by Pythagorean theorem and definition of dilation:
l = √[(Δx)² + (Δy)²]
Where:
l - Side lengthΔx - Change in the x-direction.Δy - Change in the y-direction.And the perimeter of the image of the triangle is described below:
p = k · (AB + BC + AC)
Where k is the scale factor.
First, determine the lengths of sides AB, BC and AC:
Side AB
AB = √[[4 - (- 4)]² + (3 - 3)²]
AB = 8
Side BC
BC = √[(- 4 - 4)² + (- 6 - 3)²]
BC = √[(- 8)² + (- 9)²]
BC = √145
Side AC
AC = √[(- 4 - 4)² + (- 6 - 3)²]
AC = 9
Second, determine the perimeter of the image:
p = 3 · (8 + √145 + 9)
p = 3 · (17 + √145)
p = 51 + 3√145
p ≈ 87.125
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Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
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12. We have developed a regression equation to predict son’s height from father’s height: Y = 19.4 + .737x a. What is the intercept? b. What is the slope? c. What is the predicted son’s height when the father’s height is 70.8 inches?
Answer:
(a) 19.4
(b) 0.737
(c) 71.6 inches
Step-by-step explanation:
This is a linear regression as it follows the general equation of a line given by;
y = mx + c ---------------(i)
Where;
y = value of a given point on the line along the y-axis
x = value of a given point on the line along the x-axis
m = gradient/slope of the line
c = y-intercept of the line.
Now, the given regression equation to predict son's height from father's height is;
y = 19.4 + 0.737x ------------(ii)
Equation (ii) can be re-written as;
y = 0.737x + 19.4 -----------------(iii)
Where;
x = father's height
y = predicted son's height
Now, comparing equations(i) and (iii) shows that;
m = slope = 0.737
c = intercept = 19.4
(i) The intercept of the regression equation is thus 19.4
(ii) The slope of the equation is 0.737
(iii) The predicted son's height when the father's height is 70.8 inches can be calculated by substituting x = 70.8 into equation (iii) as follows;
y = 0.737(70.8) + 19.4
y = 71.6inches
There are 684 g of cereal in a family-size box of raisin bran. The box contains 12 servings. How many ounces is one serving?
There are ounces in one serving.
(Round to two decimal places as needed.)
Answer:
2.01 ounces
Step-by-step explanation:
684 grams ÷ 12 servings =
57 grams in a serving
1 gram (g) = 0.03527396195 ounces (oz)
57 grams (g) ≈ 2.01 ounces (oz)
Please awnser asap I will brainlist
Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.
How many tickets of each kind has been sold?Let's solve the problem step by step.
Let:
x = number of $10 tickets sold
y = number of $20 tickets sold
z = number of $30 tickets sold
From the given information, we can form the following equations:
Equation 1: x + y + z = 3318 (Total number of tickets sold)
Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)
Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)
We can use these three equations to solve for the values of x, y, and z.
First, let's substitute Equation 2 into Equation 1:
x + (x + 109) + z = 3318
2x + 109 + z = 3318
2x + z = 3209 (Equation 4)
Now, let's substitute the value of y from Equation 2 into Equation 3:
10x + 20(x + 109) + 30z = 61760
10x + 20x + 2180 + 30z = 61760
30x + 30z = 59580
x + z = 1986 (Equation 5)
We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.
Multiplying Equation 4 by 30, and Equation 5 by 2, we get:
60x + 30z = 96270 (Equation 6)
2x + 2z = 3972 (Equation 7)
Now, subtract Equation 7 from Equation 6:
(60x + 30z) - (2x + 2z) = 96270 - 3972
58x + 28z = 92298
Simplifying, we have:
29x + 14z = 46149 (Equation 8)
Now, we can solve Equations 5 and 8 simultaneously:
x + z = 1986 (Equation 5)
29x + 14z = 46149 (Equation 8)
Multiplying Equation 5 by 14, and Equation 8 by 1, we get:
14x + 14z = 27804 (Equation 9)
29x + 14z = 46149 (Equation 8)
Now, subtract Equation 9 from Equation 8:
(29x + 14z) - (14x + 14z) = 46149 - 27804
15x = 18345
Divide both sides of the equation by 15:
x = 18345 / 15
x = 1223
Substituting the value of x into Equation 5, we can find z:
1223 + z = 1986
z = 1986 - 1223
z = 763
Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:
1223 + y + 763 = 3318
y + 1986 = 3318
y = 3318 - 1986
y = 1332
Therefore, the solution to the problem is:
x = 1223 (number of $10 tickets sold)
y = 1332 (number of $20 tickets sold)
z = 763 (number of $30 tickets sold)
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Help! Quadratic Word Problems!
Answer:
Step-by-step explanation:
I need help. I have this question and it says express your answer as a simplified mixed number 8 4/7 - 3 2/7 =
Answer:
5 3/7 or 37/7