The slope (m) is the change in y divided by the change in x, which represents the rate at which the line is rising or falling.the equation of the line in slope-intercept form is: [tex]y= -\frac{5}{2}x[/tex]
What is the slope-intercept form?To find the equation of a line in slope-intercept form, we need to determine the slope (m) and the y-intercept (b) of the line.
We can use the two given points to find the slope of the line using the slope formula:
[tex]m= \frac{y_2- y_1}{m_2 - m_1}[/tex]
Let's use the first two points $(-4,9)$ and $(-2,4)$:
[tex]m= \frac{4- 9}{-2 - (-4)}[/tex]
Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation of the line:
[tex]y-y_1 = m (x-x_1)[/tex]
Let's use the point (-4,9)
[tex]y-9 = \frac{-5}{2} (x- (-4))[/tex]
simplifying
[tex]y - 9= \frac{-5}{2} (x+4)[/tex]
Multiplying both sides by 2:
[tex]2y- 18 = -5(x+4)[/tex]
Expanding the right side:
[tex]2y- 18 = -5x- 20[/tex]
Adding 20 to both sides:
[tex]2y + 2 = - 5x +2[/tex]
Subtracting 2 from both sides:
[tex]2y=-5x[/tex]
Dividing both sides by 2:
[tex]y= -\frac{5}{2}x[/tex]
Therefore, the equation of the line in slope-intercept form is: [tex]y= -\frac{5}{2}x[/tex]
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Please I need help
The area of the shaded region is
The area of the shaded region in the standard normal distribution can be found to be 0.3510.
How to find the area in the standard normal distribution curve ?To find the area of the shaded region between -2.25 and -0.35 in a standard normal distribution, you would use a Z-table or a calculator with a built-in Z-table function.
Area between -2.25 and -0.35 = Area to the left of -0.35 - Area to the left of -2.25
Area to the left of -0.35 = 0.3632
Area to the left of -2.25 = 0.0122
find the difference between these two areas:
Area between -2.25 and -0.35 = 0.3632 - 0.0122 = 0.3510
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Parramore Corp has $15 million of sales, $2 million of inventories, $2 million of receivables, and $2.5 million of payables. Its cost of goods sold is 70% of sales, and it finances working capital with bank loans at a 7% rate. Assume 365 days in year for your calculations. What is Parramore's cash conversion cycle (CCC)? Do not round intermediate calculations. Round your answer to two decimal places. days If Parramore could lower its inventories and receivables by 11% each and increase its payables by 11%, all without affecting sales or cost of goods sold, what would be the new CCC? Do not round intermediate calculations. Round your answer to two decimal places. days How much cash would be freed up, if Parramore could lower its inventories and receivables by 11% each and increase its payables by 11%, all without affecting sales or cost of goods sold? Write out your answer completely. For Example, 13.2 million should be entered as 13,200,000. Do not round intermediate calculations. Round your answer to the nearest dollar. $ By how much would pretax profits change, if Parramore could lower its inventories and receivables by 11% each and increase its payables by 11%, all without affecting sales or cost of goods sold? Write out your answer completely. For Example, 13.2 million should be entered as 13,200,000. Do not round intermediate calculations. Round your answer to the nearest dollar. $
Answer:
copy paste it on gool then you will find the same thing but it has it done
Step-by-step explanation:
The line plot above shows the amount of olive oil, in ounces, used in 13 different pizza recipes. Isabella wants to make one pizza from each of the recipes. Will she have enough olive oil to make the pizzas if she buys a 16-ounce bottle of olive oil? Explain or show your reasoning.
By adding all the numbers in the line plot, we conclude that she will have enough olive oil.
Will she have enough olive oil for the 13 recipes?To check this, we just need to add the 13 numbers and see if it is more than 16.
Each point above the line plot means how many times that number will apear in our sum, then the sum will be:
(2*0 + 4*(4/8) + 3*(6/8) + 3*1 + (1 + 2/8))
Now we need to solve that:
(2*0 + 4*(4/8) + 3*(6/8) + 3*1 + (1 + 2/8))
= 2 + 9/4 + 3 + 1 + 1/4
= 2 + 3 + 1 + 9/4 + 1/4
= 6 + 10/4
= 6 + 8/4 + 2/4
= 6 + 2 + 1/2
= 8 + 1/2
That is the amount of ounces of oil that she needs for the 13 recipes, it is less than 16 ounces, so she will have enough oil.
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Jenna's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 36 caffeinated teas and 39 decaffeinated teas. What percentage of the teas served were caffeinated?
According to the solution we have come to find that, 48% of the teas served were caffeinated.
What is percentage?A percentage is a way of expressing a proportion or a fraction as a number out of 100. The symbol used for percentage is the "%" sign. For example, if you have 10 apples and you want to express how many of them are red, you can say that 20% (or 2 out of 10) of the apples are red.
To find the percentage of caffeinated teas served, we need to divide the number of caffeinated teas by the total number of teas served, and then multiply by 100 to get the answer as a percentage.
Total number of teas served = 36 + 39 = 75
Percentage of caffeinated teas served = (36/75) x 100%
= 48%
Therefore, 48% of the teas served were caffeinated.
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1111111111111111111111111111 friends?
Answer:
[tex]k = - 3[/tex]
Step-by-step explanation:
[tex]y = kx[/tex]
[tex]k \times ( - 1) = 3[/tex]
[tex] - k = 3[/tex]
[tex]k = - 3[/tex]
Answer:
[tex]k = -3[/tex]
Step-by-step explanation:
Step 1: Substitute
To solve this problem you are going to need to substitute the values of y and x into the problem y=kx. Which would give you the problem of 3=-1k or 3 = -k to make things easier.
Step 2: Using properties of equality
In order to isolate the value of k you would need to divide both sides by -1 because division cancels out multiplication. You would get [tex]\frac{3}{-1} = \frac{-k}{-1}[/tex] or [tex]-3 = k[/tex]
Step 3: Check
In order to check this problem you would need to insert the values back into the original equation and solve. So that would be 3= -1*-3 which does equal 3. So the answer is correct
Pls help meee!!!
Anybody pls!!
Answer:
85 degrees.
Step-by-step explanation:
These are parallelograms, meaning the opposite sides are parallel. Since they are parallel, that the line EA becomes a transversal and a bisector for the angle CEK. That means the angle 8 and 3 are equivalent and 7 and 4 are equivalent. This is due to Same Side Interior Angles. These are two halves of the big angle. If the halves are equal, so are the angles. Therefore, CEK = CAK.
Suppose a man is 25 years old and would like to retire at age 60. Furthermore, he would like to have a retirement fund from which he can draw an income of $50,000 per yearforever! How can he do it? Assume a constant APR of 8%.
Answer:
Step-by-step explanation:
0.08*X >= 100000, i.e. X >= 100000%2F0.08 = 1,250,000 dollars.
Then each year he will draw 100000, but the bank will return equal or even greater amount than 0.08*1250000 = 100000,
so his balance will only increase from year to year.
It is a rough estimation.
If we want to consider more realistic case, when he withdraws 100000 at the first day of the year and the bank compounds 8% at the end of the year,
then the unknown starting amount X must satisfy inequality
0.08*(X-100000) >= 100000, which gives
0.08X - 0.08*100000 >= 100000,
0.08X > (1+0.08)*100000
x >= %28%281%2B0.08%29%2A100000%29%2F0.08 = 1350000.
Answer. Having $1,350,000 or more initially on the account provides the sough condition.
Answer:
$26421.76
Step-by-step explanation:
We have to calculate final value i.e. balance to earn $50,000 annually from interest.
[tex]= \dfrac{50,000}{0.08} = \$625,000[/tex]
Now, N = n × y = 12 × 25 = 300
I = 8% = APR = 0.08
PV = 0 = PMT = 0
FV = 625,000 = A
[tex]\text{A}=\dfrac{\text{PMT}\times[(1+\frac{\text{apr}}{\text{n}})^{\text{ny}}-1 }{\frac{\text{apr}}{\text{n}} }[/tex]
[tex]\text{PMT}=\dfrac{\text{A}\times(\frac{\text{APR}}{\text{n}}) }{[(1+\frac{\text{APR}}{\text{n}})^{\text{ny}}-1 }[/tex]
[tex]\text{PMT}=\dfrac{625,000\times(\frac{0.08}{12}) }{[(1+\frac{0.08}{12})^{12\times25}-1] }[/tex]
[tex]\text{PMT}=\dfrac{625,000\times(0.006667) }{[(1+\frac{0.08}{12})^{12\times25}-1] }[/tex]
[tex]\text{PMT}=\dfrac{625,000\times(0.006667) }{[(1+0.006667)^{300}-1] }[/tex]
[tex]\text{PMT}=\dfrac{\frac{33335}{8} }{[1.006667^{300}-1]}[/tex]
[tex]\text{PMT}=\dfrac{\frac{33335}{8} }{6.34090515}[/tex]
Monthly payment (PMT) = $26421.7591469 ≈ $26421.76
$26421.76 is required monthly payment in order to $50,000 interest.
What is the GCF in simplify form
Answer: 9x^2y
the gcf of -63 , 9 and 90 is 9
And the gcf of the variables is x^2 and y
So, 9x^2y
How many solutions and what is the solution, as an ordered pair?
Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.
what is solution ?A value or combination of values that satisfy an equation, inequality, system of equations, or system of inequalities are known as solutions in mathematics. Take the equation x2 - 3x + 2 = 0, for instance. This equation has a solution in the form of an x value that makes the equation true. The quadratic formula allows us to determine that this equation has two solutions, x = 1 and x = 2. According to this, a solution for a system of equations is a set of values that simultaneously satisfy every equation in the system. Mathematical problem-solving, which has many applications in areas like engineering, physics, economics, and more, is a crucial component of the subject.
given
We must identify the point(s) at where the two lines intersect in order to obtain the solution(s) to the system of equations depicted by the graph. The graph demonstrates that the lines cross at the location (-3, 3).
Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.
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Fill in the table of value for the equation y = 2x + 1
Answer:
To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:
x y
0 1
1 3
2 5
3 7
4 9
To get the value of y, we substitute each value of x into the equation and simplify:
When x = 0:
y = 2(0) + 1 = 1
When x = 1:
y = 2(1) + 1 = 3
When x = 2:
y = 2(2) + 1 = 5
When x = 3:
y = 2(3) + 1 = 7
When x = 4:
y = 2(4) + 1 = 9
Therefore, the table of values for the equation y = 2x + 1 is:
x y
0 1
1 3
2 5
3 7
4 9
Find the simplified form of the expression. Give your answer in scientific notation.
(8 × 10^4)(9 × 10^–8)
Answer:
7.2×10^-3
Step-by-step explanation:
8 × 10^4×9 × 10^–8
=8×9×10^(4-8)
=72×10^-4
=7.2×10^-3
13) Two supplementary angles
are represented by 3y +10 and 2y+30 What are the measures of each angle?
Up to 180 degrees
Your Welcome
129. (1+x)y' = (x + 2)(y − 1)
Calculus vol 2 need help solving this!!!!
By answering the question using the information provided, we can conclude that in order to arrive at the general solution, we must take into account the scenario in which [tex]y-1\neq 0 , y \neq 1[/tex], by constructing equations.
What do you mean by equations?Two equations are said to be equivalent when their bases and solutions line up. To create an equivalent equation, the same quantity, symbol, or expression must be added to or removed from both of the equation's two sides.
We can also create an analogous equation by multiplying or dividing both sides of an equation by a nonzero integer.
Solving differntial calculus
[tex](1+x)y'=( x+2) (y-1)[/tex]
We will first employ varying separation. The variables y and x will be placed on the opposite sides of the equation, and both sides will be integrated.
[tex](1+x)y'/(y-1) = (x+2)dx[/tex]
We will integrate both sides using the substitution[tex]u= y-1,\frac{du}{dy} =y'[/tex]
∫[tex](x+2)dx[/tex] =∫[tex](1+x)\frac{du}{u}[/tex]
㏑l[tex]u[/tex]l +[tex]x[/tex]㏑l[tex]u[/tex]l= [tex]\frac{1}{2} x^{2}+2x+c[/tex]
Substituting [tex]u= y-1[/tex]
㏑l[tex]y-1[/tex]l+ [tex]x[/tex]㏑l[tex]y-1[/tex]l= [tex]\frac{1}{2x^{2} } +2x+c[/tex]
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The complete question is: Find the general solution to the differential equation (1+x)y' = (x + 2)(y − 1).
3 Reflect How is solving an inequality where the variable has a negative coefficient similar to solving an inequality where the variable has a positive coefficient? How is it different?
The variable term can be added to both sides to solve an inequality with a positive coefficient when it is solved with a negative coefficient.
What is inequality?In mathematics, inequalities specify the connection between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol (≠)" to indicate that two values are not equivalent. But various inequalities are used to compare the values, whether it is less than or larger than.
What is a coefficient?A coefficient in mathematics is a multiplicative component in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. When the coefficients are themselves variables, they may also be termed parameters.
Recognize that the variable term can be added to both sides to solve an inequality with a positive coefficient when it is solved with a negative coefficient; in this instance, the relationship between the variable and the inequality symbol has flipped.
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If you were to travel 6 miles, and catch a train and traveled 8 miles, how many miles have you traveled?
Answer:
The answer would be 14 miles!
A paper drinking have in the shape of a cone has a height of 10 cm in a diameter of 8 cm which of the following is closest to the volume of the cup in cubic centimeters
Step-by-step explanation:
The volume of a cone can be calculated using the formula:
V = (1/3)πr^2h
where r is the radius of the base, h is the height of the cone, and π is a constant approximately equal to 3.14.
In this case, the diameter of the base of the cone is 8 cm, which means the radius is half of that, or 4 cm. The height of the cone is given as 10 cm. Substituting these values into the formula, we get:
V = (1/3)π(4 cm)^2(10 cm)
V ≈ 167.55 cubic centimeters
Therefore, the volume of the paper drinking cone is closest to 167.55 cubic centimeters.
Find the volume of a cylinder with a diameter of 28 meters and a height of 4 and one half meters. Approximate using pi equals 22 over 7.
11,088 cubic meters
2,772 cubic meters
567 cubic meters
284 cubic meters
As a result, the cylinder's capacity is roughly 11,088 cubic metres.
In arithmetic, what is the radius?The diameter of a circular is the distance measured through its middle. The radius of a circle is the distance to the middle to any spot on the edge. Diameter divided by radius equals two, or 2r=d. 2 r = d .
First, we need to find the radius of the cylinder. We know that the diameter is 28 meters, so the radius is half of that, which is 14 meters.
Using the formula for the volume of a cylinder, V = πr²h, we can now substitute the given values:
V = (22/7) x 14² x 4.5
Simplifying this expression:
V = (22/7) x 196 x 4.5
V = 11,088 cubic meters
Therefore, the volume of the cylinder is approximately 11,088 cubic meters.
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Mr. Valdez has $95 in his budget to buy paint brushes and
boxes of colored pencils. He will buy an equal number of
each art supply. The cost of each item is shown in the table.
The inequality 3n+ 5n at least 95 can be used to find the
number of each item that he can buy. How much money will
Mr. Valdez have left in the budget after buying the greatest
number of paint brushes and colored pencils?
Answer:
3n + 5n = 8n = 95
n = 11
$95 - $88 = $7
(11 paint brushes, 11 boxes of colored pencils)
The diagram shows two circles with center O.
The radius of the outer circle is 3 units and the radius of the inner circle is 2 units.
What is the area of the shaded ring (annulus)?
Look at the picture below please answer quick because of my appointment?
Answer:
5
Step-by-step explanation:
S1=R1²=*3²=9 (the outer circle)
S2=R2²=*2²=4 (the inner circle)
S=S1-S2=9-4=5 (the shaded ring)
pls answer!!!!!!!!!!!!!!
The expressions in a single exponent are 9³/9⁹ = 9⁻⁶ and 14⁻³ * 14¹² = 14⁹
Diego's mistake is multiplying the expressions, wrongly
Rewriting the expressions in a single exponentExpression 1
Given that
9³/9⁹
To solve, we make use of the law of indices
So, we have
9³/9⁹ = 9⁻⁶
Expression 2
Here, we have
14⁻³ * 14¹²
Using the law of indices, we have
So, we have
14⁻³ * 14¹² = 14⁹
The mistake in Diego's expressionDiego's expression is given as
6⁴ * 8³ = 48⁷
The mistake in Diego's expression is that he multiplied 6 and 8, and then add the exponents
This is incorrect, and the actual solution is
6⁴ * 8³ = 1296* 512
6⁴ * 8³ = 2¹³ × 3⁴
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All I need to know is the answer to this problem so I can compare mine.
The measure of the angle A in the given right angled triangle is found as: A = 64.82°
Explain about the trigonometric functions?Angle functions are those of trigonometry. They are used to establish a connection between a triangle's angles and side lengths.The basic operations can be used to calculate the other two side lengths if you only have an angle and one side length. By considering the reciprocal of a primary functions, one can find the reciprocal functions.Applying the sin function in the given right angled triangle.
Sin A = 77/85
Sin A = 0.905
A = Sin⁻¹ (0.905)
A = 64.82°
Thus, the measure of the angle A in the given right angled triangle is found as: A = 64.82°
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Triangle ABC is rotated 180 degrees counterclockwise around vertex c. find the coordinates of B. B is (4,4) C is (3,1)
The image of the point B after the rotation by 180 degrees about point C is (0, 0)
How to determine the image of the point B after the rotationGiven that
B = (4, 4)
C = (3, 1)
The rotation rule is given as
Rotation by 180 degrees counterclockwise around vertex C
The rule of 180 degrees counterclockwise about the origin is
(x,y) = (-x,-y)
If the center of rotation is (a, b), then we have
(x,y) = (-(x - a) + b, -(y - b) + a)
So, we have
B' = (-(4 - 3) + 1, -(4 - 1) + 3)
Evaluate
B' = (0, 0)
Hence, the image of the point is (0, 0)
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Part B: create your own cube root function.
Come up with the equation of 2 different cube root functions. None of these can be the parent function y=^3 squared root of x. For each, find the domain, range, x- and y-intercepts, and describe any transformation for each. Also, give the coordinates of 3 points that you known are on the function (coordinates must be exact values).
Carlos reads 1/2 hour every night. how many hours will he read in 11 nights?
Answer: 5 1/2 hours
Step-by-step explanation:
for every 2 nights he reads he will gain an hour of time so the easiest way to solve is to divide 11 by 2 for an answer of 5.5 or 5 1/2 hours.
If the unit rate is 1/2 hours per night,
Carlos will read for 5.5 hours in 11 nights.
We have,
If Carlos reads for 1/2 hour every night,
This is the unit rate.
Now,
In 11 nights he will read for:
(1/2) x 11 = 11/2
= 5.5 hours
Therefore,
Carlos will read for 5.5 hours in 11 nights.
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Which expressions are equivalent to 3x + 3(x+y)? Choose all answers that apply: A 6x + 3y CO U 3(x + x + y) 3xy Stuck? Review related articles/videos or use a hint. Report
Two equivalent expressions to 3x + 3(x+y) are:
3*(x + x + y) 6x + 3yWhich expression is equivalent to the given one?Two expressions are equivalent if we can rewrite one into the other, in such a way that we only use algebra to do so.
Here we start with the expression:
3x + 3(x + y)
If we take 3 as a common factor, then we can write:
3x + 3(x + y) = 3*(x + (x + y)) = 3*(x + x + y)
That is an equivalent expression, now if we simplify this:
3*(x + x + y) = 3*(2x + y)
Distribute that product.
3*(2x + y) = 6x + 3y
These is other equivalent expression.
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Jake whittles little wooden figurines and begins to sell them. If the demand function for his figurines is given by
D(q) = 80 - 1.25q and the supply function is S(q) = 0.75g
what is the equilibrium quantity?
If Jake whittles little wooden figurines and begins to sell them. If the demand function for his figurines is given by D(q) = 80 - 1.25q and the supply function is S(q) = 0.75g. The equilibrium quantity is 40 units.
How to find the equilibrium quantity?Given the demand function D(q) = 80 - 1.25q and the supply function S(q) = 0.75q, we can find the equilibrium quantity by setting these two functions equal to each other and solving for q:
D(q) = S(q)
80 - 1.25q = 0.75q
Simplifying this equation, we get:
2q = 80
q = 40
Therefore, the equilibrium quantity is q = 40. At this quantity, the quantity demanded is:
D(q) = 80 - 1.25q = 80 - 1.25(40) = 30
And the quantity supplied is:
S(q) = 0.75q = 0.75(40) = 30
Thus, the equilibrium quantity of Jake's wooden figurines is 40 units.
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For what values of a are the following expressions true?
|a+5|=a+5
|a+5|=-5-a
1. Your stock broker charges a 7% fee every time stocks are bought and sold. How much
profit would you earn from the sale of 250 shares that are worth $4.50 each.
To determine the profit earned from selling 250 shares worth $4.50 each with a 7% fee charged by the stock broker, we need to calculate the total revenue earned and the total cost incurred.
Total revenue earned from selling 250 shares at $4.50 per share:
Revenue = 250 x $4.50 = $1,125
Total cost incurred for buying and selling the shares, including the 7% fee charged by the broker:
Cost = 2 x 250 x $4.50 x 0.07 = $157.50
Here, we are multiplying the number of shares (250) by the price per share ($4.50) to get the total value of the shares. Then we multiply this by 2, since we need to account for both the buying and selling transactions, and then multiply by the broker fee rate of 7% (0.07) to get the total cost incurred.
Therefore, the profit earned from the sale of 250 shares is:
Profit = Revenue - Cost
Profit = $1,125 - $157.50
Profit = $967.50
Hence, the profit earned from selling 250 shares worth $4.50 each with a 7% fee charged by the stock broker is $967.50.
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Integers descending order
1.) +8,-4,-6,-2,+3
2.)+10,-11,-13,+8,+9
3.)-15,+5,+8,-11,-10
4.)+6,+9-14,-12,+1
5.)-10,+3,-4,+4,-3
Fionna, Anuar and Rizza had some cards. Fionna and Anuar had a total of 349 cards. Fionna had 145 cards. Anuar had 3 times as many cards as Rizza. How many cards did Fionna and Rizza have altogether? How do we draw model? I know question but how do we draw the model I need this asap
Fionna and Anuar each had 349 cards, bringing the total to 417. Fionna alone had 145 cards.
what is unitary method ?A mathematical concept known as the unitary approach entails calculating the value of a single unit in order to calculate the value of a given quantity. Finding the value of one unit and utilising that value to determine the value of a given quantity is an approach for solving problems. For instance, you can use the unitary technique to determine the price of 10 apples if you know that 5 apples cost $10. Now, divide $10 by 5, which equals $2, to determine the price of one apple. The cost of 10 apples is then determined by multiplying the price of one apple ($2) by 10, giving you a final cost of $20.
given
145 total cards with Fionna
349 total cards with Fionna and Aura
Card count with Anuar: 349 - 145
= 204
Rizza's number of cards equals 1/3 of 204.
= 204 / 3
= 68
Total number of cards: 68, 204, and 145
= 417
Fionna and Anuar each had 349 cards, bringing the total to 417. Fionna alone had 145 cards.
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