Answers
The table of solutions should be completed based on the given equation (y = 2x²) as follows:
x y_
-2 8
-1 2
0 0
1 2
2 8
Also, a graph of the solution to the given equation is shown in the image attached below.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would complete the table based on the given equation as follows:
When x = -2, the value of point y is given by:
y = 2x²
y = 2(-2)²
y = 2 × 4
y = 8
When x = -1, the value of point y is given by:
y = 2x²
y = 2(-1)²
y = 2 × 1
y = 2
When x = 0, the value of point y is given by:
y = 2x²
y = 2(0)²
y = 2 × 0
y = 0
When x = 1, the value of point y is given by:
y = 2x²
y = 2(1)²
y = 2 × 1
y = 2
When x = 2, the value of point y is given by:
y = 2x²
y = 2(2)²
y = 2 × 4
y = 8
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Related Questions
nikolai and teresa are trying to decide which restaurant they should take their friend thomas to for his birthday. nikolai wants to take thomas to a vietnamese restaurant (which serves generous portions of inexpensive but delicious food), and teresa wants to take thomas to a french restaurant (which serves expensive and beautifully presented food). to resolve the issue, they decide to flip a coin. if nikolai wins the coin toss they will take thomas to the vietnamese restaurant and the next time a friend of theirs has a birthday they will take her or him to the french restaurant teresa likes. if teresa wins the coin toss, they will go to the french restaurant first and the vietnamese restaurant later. the conflict style they used is best described as:
Answers
The conflict style they used is Collaboration.
Given, that Nikolai wants to take Thomas to a Vietnamese Restaurant (which serves generous portions of inexpensive but delicious food), and Teresa wants to take Thomas to a French restaurant (which serves expensive and beautifully presented food)
To resolve the issue, they decide to flip a coin.
If Nikolai wins the coin toss they will take Thomas to the Vietnamese restaurant and the next time a friend of theirs has a birthday they will take her or him to the French restaurant Teresa likes and If Teresa wins the coin toss, they will go to the French restaurant first and the Vietnamese restaurant later.
Here, we can see that this is a win-win situation as both can go to their favorite restaurant.
So, the conflict style they used is Collaboration. As, Collaboration generates solutions that satisfy both the parties’ needs.
Hence, the conflict style they used is Collaboration.
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Zyndy is twice the age of Vyndel. The sum of their age is twenty-one. Determine their ages.
Pa sagot po pls pasahan na po namin bukas :
Answers
Answer:
Zyndy is 14, Vyndel is 7.
Step-by-step explanation:
Let Zyndy's age be represented by 'z', and Vyndel's age be represented by 'v'.
Zyndy is twice the age of Vyndel, so z=2v
The sum of their age is twenty-one, so z+v=21
Sub the first equation above into the second to get:
2v+v=21
3v=21
v=7
Knowing v=7, we can say z=2(v)=14.
a random sample of 26 checking accounts at a bank showed an average daily balance of $300 and a standard deviation of $45. the balances of all checking accounts at the bank are normally distributed. develop a 95% confidence interval estimate for the mean of the population.
Answers
The confidence interval estimate for the mean of the population at 95% is [$282.70, $317.30].
Confidence interval is defined as the range of values where a parameter might fall at a given confidence level. It can be calculated using the formula below.
CI = μ ± z x (SD / √n)
where CI = confidence interval
μ = sample mean
z = found by using a z-score table
SD = sample standard deviation
n = sample size
At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.
(100 - 95) / 2 = 2.5
100 - 2.5 = 97.5
Find 0.975 in the z-table to get the value of z.
At p = 0.95, z = 1.96
Plug in the values and solve for the confidence interval.
CI = μ ± z x (SD / √n)
CI = 300 ± 1.96 x (45 / √26)
CI = 300 ± 17.30
CI = [$282.70, $317.30]
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consider the mad statistic. what would happen if you did not take absolute values before calculating the sum of differences between group means? why would this not be a useful calculation without taking absolute values?
Answers
This type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.
We are asked that, what would happen if you did not take absolute values before calculating the sum of differences between group means.
As, when we calculate the differences between group means then, some of the values may be negative.
When we add those negative values while evaluating the sum then the sum can be less than the absolute and to get over from this type of problem we always take absolute values of the differences between group means and then get the sum.
Also, this type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.
Hence, this type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.
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Q1 Write a quadratic polynomial
, sum of whose zeroes is 3 and product is -40
Answers
The quadratic polynomial for the given conditions of zeros is found as x² - 3x + -40 = 0.
Define the term quadratic polynomial?When a variable term as in polynomial expression has a highest power of 2, the polynomial is said to be quadratic. A second-order polynomial is another name for a quadratic polynomial. A quadratic equation or quadratic function is created if a quadratic polynomial becomes equal to 0. The roots or zeros of both the quadratic equation are the name given to the solutions of this equation.For the stated values,
Sum of zeroes is 3 and product is -40
Use formula,
x² - x (sum of zeros) + (product of zeros) = 0.
Put the values.
x² - x (3) + (-40) = 0.
x² - 3x + -40 = 0.
Thus, the quadratic polynomial for the given conditions of zeros is found as x² - 3x + -40 = 0.
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A car starts from point P at time t= 0 and travels at 45 mph.
Write an expression d(t) for the distance the car travels from P.
Graph y = d(t)
What is the slope of the graph in (b)? What does it have to do with the car?
Create a scenario in which t could have negative values
Create a scenario in which the y-intercept of y= d(t) could be 30.
Answers
Answer:
Step-by-step explanation:
Let y be the distance the car travels, in miles. Let t be the time traveled, in hours. The speed is 45 m/h. We know that the distance the car travels is given by the equation:
Distance = (speed)*(time)
Using the assigned variables, we can rewrite this as:
d(t) = (45 m/h)(t hours)
We want an equation that will tell us the position of the car, y, at any time, t, including t = 0, the start.
d(t) = ?
At time = 0, the starting point of the car is P. We can write:
d(0) = P
For x[tex]\geq[/tex]0, we would find the car at:
d(t) = P + (45)*t
The 45 is in units of miles/hour, t is in hours and d is in miles. Let's assume an intital position, P, for this car to be 10 miles. P = 10 miles.
The function is: d(t) = 10 + (45)*t
If we leave the units in, it can be written as: d(t) = (10 miles) + (45 miles/hr)*t(in hr)
We can see that the term "(45 miles/hr)*t(in hr)" will eventually reduce to just miles one we enter the time in hours, since the hours cancel out.
The graph of this function is attached. The line crosses the y axis at 10 (miles) when time, t, is 0 : the car has not started.
The slope of the graph can be determined by calculating the Rise/Run of the line. Pick any two points. I'll choose: (2,100) and (4,190).
Rise (change in y) is (190-100) = 90
Run (change in x) is (4 - 2) = 2
Slope = Rise/Run = (90/2) or 45.
The slope has the same value as the speed, as it should. The slope is telling us the rate of change, which for this graph, is the speed of the car. The y-intersect is (0, 10). The car is at 10 miles at the start (t=0).
To create a scenario where could have a negative value requires some imagination. There is really no such thing as negative time, except in time travel movies. But we can define t, perhaps, as the start of a race. (High noon, for example). If the cars were allowed to start moving before noon as long as they started back (negative direction) from the starting point of the race. If t is defined as "hours after 12:00 noon" then a value of t = -1 means 11:00 AM. If the car were approaching the staring line at 45 miles/hour, ahread of the official start time, the graph would make sense. Not the race, so much, but the graph would be accurate.
6 in each of these numbers: 364 346 which sentence correctly compares the values? a. the value of the 6 in 364 is the value of the 6 in 346. b. the value of the 6 in 364 is 100 times the value of the 6 in 346. c. the value of the 6 in 364 is the value of the 6 in 346. d. the value of the 6 in 364 is 10 times the value of the 6 in 346.
Answers
The correct answer to this question is d. the value of the 6 in 364 is 10 times the value of the 6 in 346.
The place value of the 6 in 346 is six because it is in the place of ones, whereas the place value of the sixth in 364 is 60 because it is in the place of tens. As a result, the value of 60 is ten times that of the value of 6.
The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its position in the number, which can result in a number having two similar digits with different values.
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Which statement best analyzes the role this event plays in the plot?
In "The Necklace" Mathilde realizes too late that the necklace is a fake.
Answers
The statement that best analyzes the role this event plays in The Necklace plot is A. It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.
How to illustrate the information?There are both planned and unplanned events, and the start and end times may be noted. Event types include accidents, celebrations, natural disasters, and rallies. The event is the occurrence of the event.
Loisel is well-liked and adored by all. As she walks away, she searches for the pendant and discovers it has gone missing. After days of searching, she and her husband decide to replace it with something similar. It takes her ten decades to pay for the successor, which costs the same as your salary.
In this case, it best analyzes the role this event plays in leading to the resolution where Mathilde learns a lesson about the downfall that can come from vanity and greed The plot of The Necklace.
Therefore, the correct option is A.
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Complete question
Which statement best analyzes the role this event plays in The Necklace plot?
“Oh, my poor Mathilde! Why, my necklace was paste! It was worth at most only five hundred francs!”
It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.
It is the climax of the story since the reader is most excited at this point.
It serves as a complicating incident because Mathilde will have to suffer the consequences of her actions.
It serves as the falling action because it shows that Mathilde will have to get used to her place in life.
Andrew owns stock in Hyren Airlines and as a result gets paid dividends worth $539.70 every year. If Andrew owns 105 shares of Hyren Airlines, how big is the dividend each share yields?
Answers
Answer: $5.14
Step-by-step explanation:
divide $539.70 by 105 to get the answer
so 539.70 divide by 105 is 5.14
step1 get rid of the decimal but you will ad it later so
53970
/ 105
=514
step2 move the decimal 2 places to the left.
in a certain industrial facility, accidents occur infrequently. it is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other. what is the probability that in any given period of 400 days there will be an accident on one day? use binomial approximation to poisson distribution.
Answers
The probability that in any given period of 400 days there will be an accident on one day is 0.2707
Given that;
In a certain industrial facility, accidents occur infrequently. it is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other.
n = 400, p = 0.005
Poisson distribution is given by;
e P(x) = (λˣe^λ ) / x!
Here, Mean(λ) = np
= 400*0.005
=2
The probability that there will be an accident on one day;
(P(x = 1)) = (λxe-λ)/x!
= 2*e-2
= 0.2707
The probability that in any given period of 400 days there will be an accident on one day is 0.2707
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What is the perimeter of pentagon ABCDE with the given vertices?
A (4,2)
B(4, 10)
C (7, 10)
D (15, 4)
E (7, - 2)
Answers
Answer:
36
Step-by-step explanation:
The perimeter of ABCDE is equal to AB + BC + CD + DE + AE.
AB = 10 - 2 = 8 (The x values of A and B are the same, therefore the distance between them is the difference between their y values.)
BC = 7 - 4 = 3 (The y values of B and C are the same, therefore the distance between them is the difference between their x values.)
CD = [tex]\sqrt{(X_D - X_C)^2 + (Y_D - Y_c)^2} = \sqrt{(15 - 7)^2 + (4 - 10)^2} = \sqrt{8^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]
DE = [tex]\sqrt{(X_E - X_D)^2 + (Y_E - Y_D)^2} = \sqrt{(7 - 15)^2 + (-2 - 4)^2} = \sqrt{(-8)^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]
AE =
[tex]\sqrt{(X_E - X_A)^2 + (Y_E - Y_A)^2} = \sqrt{(7 - 4)^2 + (-2 - 2)^2} = \sqrt{3^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]
[tex]\Delta \text{ABCDE} = \text{AB} + \text{BC} + \text{CD} + \text{DE} + \text{AE} = 8 + 3 + 10 + 10 + 5 = 36[/tex]
Little Johnny spent $240 on candy today. If his amount is 2/5 the amount of money his dad gave him, how much did his dad give him orginally
Answers
Answer: 600$
Step-by-step explanation:
2/5 of 600 is 240
What is the equation in standard form of the line that passes through the point (6,-1) and is perpendicular to the line represented by 8x + 3y=1
Answers
The required equation of line in standard form that passes through the point (6,-1) and is perpendicular to the line represented by 8x + 3y = 1 is
y = (3/8)x - 13/4
How to find equation of line if one point and equation of perpendicular line is given?
To find the equation of line which is perpendicular to another line
Find slope of the required line using m₁. m₂ = -1Using the given point find y-intercept by substituting in the equation of line.According to the given question:
Let the required equation of line be y = mx + b
where m is the slope of line and b is the y-intercept
Now, 8x + 3y = 1 is perpendicular to the line. Hence, the slopes of both line will satisfy m₁. m₂ = -1
Standard form of the given line is
y = (-8/3)x + 1/3
∴ m₁ = -8/3
Finding m₂, (-8/3). m₂ = -1
∴ m₂ = 3/8 ------ (1)
Using the given point (6, -1) to find y-intercept in the equation
y = (3/8)x + b
-1 = (3/8)(6) + b
∴ b = -13/4
Therefore the required equation of line in standard form is
y = (3/8)x - 13/4
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What is the area of a triangle if the vertices are at
A(-11, 4)
B(-7, 8)
C(-4, 4)
Answers
Answer:
14 square units
Step-by-step explanation:
You want the area of the triangle whose vertices are the points A(-11, 4), B(-7, 8), C(-4, 4).
Area formulaThe area of a triangle is given by the formula ...
A = 1/2bh
where b is the base of the triangle, and h is the height, the1 perpendicular distance to the opposite vertex.
DimensionsThe diagram shows one side is the horizontal line AC. The length of that is the difference of the x-coordinates of the end points:
b = -4 -(-11) = 7
The opposite vertex, B, has a y-coordinate of 8, so the height of the triangle is ...
h = 8 -4 = 4
ApplicationWe now have the information we need to use the area formula:
A = 1/2(7)(4) = 14 . . . . square units
The area of ∆ABC is 14 square units.
__
Additional comment
You can use the diagram and count grid squares to find the dimensions of the triangle.
what are the coordinates of the image of vertex after a reflection of r x-axias (x,y)
Answers
The coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).
To get the coordinates of a point reflected on the x - axis, some important rules be considered here:
1. The x - coordinate of the reflected point is the same as the x - coordinate of the original point.
2. The y - coordinate of reflected point has opposite sign of y-coordinate of original point.
Example:
(1,9) when reflected on the x - axis it will be (1,-9).
Therefore the coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).
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Mr. solo invested in the certificate of deposit that pays 8% interest investment was $325 how much interest will she receive in one year
Answers
Using the simple interest formula, Mr. Solo received $26 interest.
In the given question we have to find how much interest Mr. Solo received.
The investment(P) = $325.
Interest rate(R) = 8%
Time(T) = 1 year
Finding the interest using the simple interest formula.
I = PRT/100
where I = interest
P = Principal Amount
T = Time
R = Interest Rate
Putting the value
I = 325*8*1/100
I = 26
Hence, Mr. Solo received $26 interest.
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If B=x^{2}+ 2 and C=2+2x^{2}find an expression that equals 2B+C in standard form.
Answers
The expression that equals 2B+C in standard form is 4x² + 6
How to determine the expression?From the question, we have the following parameters that can be used in our computation:
B = x² + 2
C = 2 + 2x²
The expression to calculate is given as
2B + C
Substitute the known values in the above equation, so, we have the following representation
2B + C = 2x² + 4 + 2 + 2x²
Evaluate the like terms
2B + C = 4x² + 6
Hence, the expression is 4x² + 6
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19)
By which rule are these triangles congruent?
A)aas
B)asa
C)sas
D) SSS
Answers
Step-by-step explanation:
Angel side angle rule (ASA)
The length of the base of a triangle with
constant area varies inversely as the height.
When the base is 18 cm long, the height is 7
cm. Find the length of the base when the
height is 6 cm.
Answers
The length of the base when the height is 6 cm is 21 cm .
In the question ,
it is given that ,
the length of the base(b) of the triangle varies inversely with the height(h) ,
which is represented as
b ∝ 1/h
b = k/h
where k is the constant of variation
given that when b = 18 , h is = 7
18 = k/7
k = 18 × 7
k = 126
Substituting , the value of k = 126 in the equation b = k/h ,
we get ,
b = 126/h
So, the length of the Base When h = 6,
b = 126/6
b = 21
Therefore, the length of the base when the height is 6 cm is 21 cm .
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Noble-gas notation: [ar]3s1 [he]2s22p63s1 [ne]3s23p4 [ne]3s1
Answers
In longhand notation, the electron configuration is
1s² 2s² 2p6 3s¹
Noble gas configuration
[ Ne ] 3s¹
Complete question:
Choose the electron configuration for sodium (Na) in both longhand notation and noble-gas notation.
What is electron configuration?
The arrangement of electrons in atomic or molecular orbitals of an atom, molecule, or other physical structure is referred to as the electron configuration in atomic physics and quantum chemistry.
In longhand notation, the electron configuration is
1s² 2s² 2p^6 3s¹
Noble gas configuration
[ Ne ] 3s¹
Here, the configuration 1s² 2s² 2p^6 is replaced by [ Ne ].
[ Ne ] represents the electron configuration of [ Ne ].
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Answer:
D) [Ne]3s1
☆
EDGE2023; Good Luck :D!!!
The length of a rectangle is the sum of the width and 2. The area of the rectangle is 63 units. What is the width, in units, of the rectangle?
Answers
Answer:
WITDTH=7
Step-by-step explanation:
width = w
length = w + 2.
w(w + 2) = 63 (area)
quadratic equation in w:
w2 + 2w = 63
w2 + 2w - 63 = 0
FACTOR:
(w + 9)(w - 7) = 0
9-7=2
9x(-7) = -63
Two possible solutions:
w + 9 = 0 (solution w = -9) or
w - 7 = 0 (solution w = 7)
The width must be positive, the answer is 7 units.
length = w+2
length = 9
Geometry pls help me
Answers
The radius of the given circle is 7.5 units.
What is the radius?A circle or sphere's radius is any line segment that connects the object's center to its perimeter in classical geometry; in more contemporary usage, it also refers to the length of such line segments. The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel."The diameter of a circle cuts through the center while the radius extends from the center to the edges of the circle. The diameter of a circle effectively divides the shape in half.So, use the Pythagorean theorem:
Where, c² = a² + b².We know that, AB² = AC² + CB².Now, calculate as follows:
AB² = AC² + CB²AB² = 12² + 9²AB² = 144 + 81AB² = 225AB = √225AB = 15
So, the diameter is 15 units.
Then the radius is:
15/2 = 7.5 unitsTherefore, the radius of the given circle is 7.5 units.
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5(x - 3) = - 4(x - 2) + 9x
Answers
What Two numbers multiply to get 20 and add to get 17?
Answers
Step-by-step explanation:
x + y = 17
x = 17 - y
xy = 20
(17 - y)y = 20
-y² + 17y = 20
-y² + 17y - 20 = 0
the general solution to such a quadratic equation
ax² + bx + c = 0
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
y = (-17 ± sqrt(17² - 4×-1×-20))/(2×-1) =
= (-17 ± sqrt(289 - 80))/-2 =
= (-17 ± sqrt(209))/-2
y1 = (-17 + sqrt(209))/-2 = 1.271583853...
y2 = (-17 - sqrt(209))/-2 = 15.72841615...
the 2 numbers are
1.271583853...
15.72841615...
0 . 476 × 10 to the 1st power
Answers
Answer:
4.76
Step-by-step explanation:
had this on a test today!
(100 POINTS) HELP ASAP
Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.
y to the three fourths power, all over y to the one half power
the eighth root of y to the third power
the square root of y to the three fourths power
the fourth root of y
the square root of y
Answers
Answer:
[tex]^4\sqrt{2}[/tex]
Answer: Option C
Step-by-step explanation: just took the test.
Larissa is standing at point L Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain
Answers
If LR equals 12 and PR equals 4, then: LP = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.
What is the Segment Addition Postulate?The Segment Addition Postulate states that when there are two endpoints on a line segment (L) and (C), a third point (P) would lie on the line segment (LR), if and only if the magnitude of the distances between the endpoints satisfy the requirements of this equation LP + PR = LR.
This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.
By applying the Segment Addition Postulate to the given endpoints, the value of LP is given by:
LP + PR = LR
LP = LR - PR
Substituting the given parameters into the formula, we have;
LP = 12 - 4
LP = 8.
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Complete Question:
Larissa is standing at point L. Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain
LP = 16 because 12 + 4 = 16 according to the addition property of equality.
LP = 8 because 12 - 4 = 8 according to the subtraction property of equality.
PR = 16 because LR + LP = PR according to the Segment Addition Postulate, and 12 + 4 = 16 using substitution.
PR = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.
Answer: Lp = 8
Step-by-step explanation:
Got it right
Decide whether each equation is true for all, one, or no values of x.
Answers
Answer:
Theres nothing to see?
Step-by-step explanation:
Answer:
First is one value of x
Second is no values of x
Third is all values of x
Step-by-step explanation:
Please give brainliest!
Hershey’s Chocolate World is located in Hershey, PA. The cost, , for any large chocolate bars is per bar, . Write a rule to represent this relationship.
. Hershey’s Chocolate World is located in Hershey, PA. The cost, c, for any large chocolate bars is $ 2.25 per bar, b. Write a rule to represent this relationship.
Answers
The equation to represent the expression is C ( b ) = 2.25b , where C ( b ) is the cost of b number of chocolate bars
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of b chocolate bars be = C
Let the cost of 1 bar of chocolate bar be = $ 2.25
Let the number of chocolate bar be = b
Now , the equation to find the cost of b number of chocolate bars is ,
The cost of b number of chocolate bar =
cost of 1 bar of chocolate bar x number of chocolate bar
So , the equation is
The cost of b number of chocolate bar = 2.25b
So , the equation to find the cost of b number of chocolate bars is ,
Cost of b chocolate bars C = cost of b number of chocolate bar
C ( b ) = 2.25b
Therefore , the expression is C ( b ) = 2.25b
Hence , The equation to represent the expression is C ( b ) = 2.25b , where C ( b ) is the cost of b number of chocolate bars
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together, katya and mimi have 480 pennies in their piggy banks. after katya loses 1/2 and mimi losses 2/3of her pennies, they have an equal number of pennies left. how many pennies did they lose altogether?
Answers
The number of pennies they lose altogether is 288 pennies.
How to find the number of pennies they lost together?
Together, Katya and Mimi have 480 pennies in their piggy banks.
Therefore, there total amount of pennies is 480.
After Katya loses 1/2 of her pennies and Mimi loses 2/3 of her pennies, they have an equal number of pennies left.
Therefore,
let
x = number of pennies Katya have
y = number of pennies Mimi have
Hence,
x + y = 480
x = 480
Katya pennies left = x - 1 / 2x = 1 / 2x
Mimi pennies left = y - 2 / 3 y = 1 / 3 y
1 / 2 x = 1 / 3 y
2y = 3x
y = 3 / 2 x
Substitute the value in equation(i)
x + 3 / 2 x = 480
2.5x = 480
x = 480 / 2.5
x = 192
Therefore,
192 + y = 480
y = 480 - 192
y = 288
The number of pennies they lose can be calculated as follows;
Katya losses = 1 / 2 × 192 = 96
Mimi losses = 2 / 3 × 288 = 192
Therefore, they lost 96 + 192 = 288 pennies altogether.
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