Answer:
Step-by-step explanation:
Equation of the line for container O and container P will be in the form of,
y = mx + b
Here m = slope of the line = Change in amount of water per minute
b = y-intercept
From the graph attached,
y-intercept 'b' represents the initial amount of water in the container.
For container O, initial amount of water in the container is 1000 mL.
Similarly, initial amount in the container is 900 mL.
Will give 20 points and brainiest!
Please help!
Answer:
Straight angle.
Step-by-step explanation:
It is straight because <CED is a 180 degree angle which is straight.
Answer:
Obtuse
Step-by-step explanation:
Seeing that CEA and BED are acute, CEB has to be obtuse.
What is the product (x-3)(x+8), expressed as a trinomial?
A. x^2+8x-24
B.x^2-3x-24
C.x^2+5x-24
D.x^2-11x-24
Help -
a player of a video game is confronted with a series of 4 opponents and a(n) 73% probability of defeating each opponent. assume that the results from opponents are independent (and that when the player is defeated by an opponent the game ends). round your answers to 4 decimal places. (a) what is the probability that a player defeats all 4 opponents in a game? enter your answer in accordance to the item a) of the question statement (b) what is the probability that a player defeats at least 2 opponents in a game? enter your answer in accordance to the item b) of the question statement (c) if the game is played 3 times, what is the probability that the player defeats all 4 opponents at least once? enter your answer in accordance to the item c) of the question statement
The Probability that the player will win against each of the four opponents at least once is 0.7942.
The player has a P(W) = 0.80 winning chance.
The likelihood that the player will lose is hence P(L)= 1 - P(W) = 0.20.
The player is up against 4 different opponents in the video game.
It is stipulated that the game finishes when a player is defeated by an opponent.
The player can win in any of the following ways: L, WL, WWL, WWWL, and WWWW.
The results from each of the four opponents are distinct, meaning that the outcome of a game played against one opponent has no bearing on the outcome of a game against another.
P (Player defeats all 4 opponents) = 0.4096 is the probability that a player will win a game against all four opponents.
Thus, the probability that the player defeats all four opponents in a game is 0.4096.
(b) The likelihood that a player will win a game against at least two opponents is,
P = 1 (Player defeats at least 2) P = 0.64 when the player loses the first and second games.
Therefore, there is a 0.64 percent chance that the player will win at least two games against opponents.
Let X equal the number of times the player triumphs over all four opponents.
The likelihood that a player will win a game against all four opponents is,
P(WWWW) = 0.4096
The probability that a player will triumph over each of the four opponents at least once is,
P (X ≥ 1) = 1 - P (X < 1)
= 1 - P (X = 0)\s = 0.7942
Therefore, there is a 0.7942 probability that the player will win against all four opponents at least once.
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A sprinter travels a distance of 200 m in a time of 20.03 seconds.
What is the sprinter's average speed rounded to 4 sf?
(Soucre: HegartyMaths clip number 716)
Answer: 9.985m/s
Step-by-step explanation:
speed = distance/time
= 200/20.03
= 9.9850224663
≈ 9.985m/s
Which of the following correlation coefficients represents the strongest relationship between two variables? -.75 +.60 .00 +.30
The correlation coefficient that represents the strongest relationship between two variables is -0.75.
In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.
The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.
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A package weighs P pounds, P being a whole number. To ship this package by express costs $1.65 for the first five pounds and 12c for each additional pound. The total shipping cost was $3.45. How many pounds did the package weight
The total weight of the package was 20 pounds, given the total shipping cost was $3.45, using the total cost function, C(P) = 1.65 + 0.12(P - 5), where P is the weight of the package in pounds.
In the question, we are given that a package weighs P pounds, P being a whole number. To ship this package by express costs $1.65 for the first five pounds and 12c for each additional pound. The total shipping cost was $3.45.
We are asked for the package weight in pounds.
First, we design a general cost function.
The cost is given to be $1.65 for the first 5 pounds, and 12c for each additional pound.
The weight of the package is given to be P pounds.
We assume the total cost function to be C(P), a function of the weight of the package, P pounds.
Thus, the total cost function can be shown as the sum of $1.65 and 12c or $0.12 multiplied with (P - 5), as it is the cost for additional pounds after 5 pounds.
Thus, the total cost function, C(P) = 1.65 + 0.12(P - 5).
Now, we are given that the total shipping cost was $3.45.
Thus, to find the weight of the package, we equate the total cost function, C(P) to 3.45, to get:
1.65 + 0.12(P - 5) = 3.45,
or, 1.65 + 0.12P - 0.6 = 3.45,
or, 0.12P + 1.05 = 3.45,
or, 0.12P = 3.45 - 1.05,
or, 0.12P = 2.40,
or, P = 2.40/0.12 = 20.
Thus, the total weight of the package was 20 pounds, given the total shipping cost was $3.45, using the total cost function, C(P) = 1.65 + 0.12(P - 5), where P is the weight of the package in pounds.
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will give brainliest please help!!
Simplify the expression x-3x-(-5x).
Answer:
D. 3x.
Step-by-step explanation:
Let's do a little bit of simplifying.
First, distribute that minus sign outside of the parentheses.
x - 3x + 5x
Then simplify further.
-2x + 5x
More.
3x
Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag
If Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag is 24 days.
Number of daysUsing this formula
Number of days=Number of ounces×Number of pound bag
Where:
Number of ounces=4 ounces
Number of pound bag=6
Let plug in the formula
Number of days=4×6
Number of days=24 days
Therefore how long will it take her to use up a 6 pound bag is 24 days.\]
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find a power series representation for the function. f(x) = x^8 tan^−1(x^3)
The Power series representation of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)
What is Maclaurin series?The Maclaurin series expansion method can be used to get the power series of such functions if the function has a composite part, such as the multiplication or quotient form.
What is power series?
An infinite series in mathematics known as a "power series" can be compared to a polynomial with an infinite number of terms.
The Maclaurin series will be used in this instance to expand the function:
\(tan^-^1x\) = \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^2^n^+^1}{2n+1}\)
and for \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{(x^3)^2^n^+^1}{2n+1}\)
=> \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\) -------(i)
and f(x) = \(x^8tan^-^1x^3\)
now we need to multiply \(x^8\) in the above equation to get the power series expansion of f(x)
\(x^8tan^-^1x^3\) = \(x^8\) \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)
=> \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3^+^8}{2n+1}\)
=> \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)
so the expansion of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)
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(y - 6) = -4(x + 3) in slope intercept form
Answer:
y=-4x-6
Step-by-step explanation:
use the formula y=mx+b
oh btw i just posted a question so please maybe help with it???
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\(y - 6 = - 4(x + 3)\)
\(y - 6 = - 4x - 12\)
Add sides 6
\(y - 6 + 6 = - 4x - 12 + 6\)
\(y = - 4x - 6\)
This is the slope-intercept form.
Done...
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Help me pleeeeeeasseeeeee
I really ened an explanation as well...
Answer:
The answer is 104
Step-by-step explanation:
Its simple. Just do 52x2=104. 52 is half of the ST line.
Write an equation of the line through (2,5) and parallel to y = 3x - 8. Write the equation in the form x = a, y=b, or y=mx+b.
The equation of the line is
d
>
Answer:
thats a really hard question problem is that my phones broken and i cant see clearly
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Brainlyyyyyyyy
Make a forecast for week 3, find the error for week 4, and make a final prediction for week 7.
Use the moving average method with k = 2
Rounding correctly will help ensure you get credit for this question. Please round to 2 decimal places.
Week Time Series Moving average Error 1 30 _____ _____
2 19 _____ 5.5
3 30 _____ -------- 4 16 24.5000 -----------
5 21 23.0000 -2.00
6 25 18.5000 6.5
7 Prediction -> _____ _____
The answers are 24.50, 8.50, 23.50 respectively.
Given that we are to forecast for week 3, find the error for week 4, and make a final prediction for week 7. We are to use the moving average method with k = 2.The calculation of the moving average is shown belowWeek Time Series Moving average Error 1 30 _____ _____ 2 19 _____ 5.5 3 30 24.50 -6.50 4 16 24.50 8.50 5 21 23.00 -2.00 6 25 18.50 6.50 7 Prediction -> 23.50 -2.50The forecast for week 3 is 24.50, error for week 4 is 8.50 and final prediction for week 7 is 23.50. Thus, the answers are 24.50, 8.50, 23.50 respectively.
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Moving to the next question prevents changes to this answer. Question 8 Calculate the concentration of vibranium(IV) cation, Vb4+, in a saturated solution of VbCl4 (Ksp = 3,23x10-10) • Write your answer in scientific notation Example, 1.23x104 would be 1.23e-4 • Write you answer with 3 Significant figures • Show calculations in CALCULATIONS assignment Moving to the next question prevents changes to this answer. ㅇㅇ 박 novo
The concentration of Vb4+ in the saturated solution of VbCl4 is 3.23x10-10 mol/L.
To calculate the concentration of Vb4+, we need to use the solubility product constant (Ksp) equation. The balanced equation for the dissociation of VbCl4 is VbCl4 (s) ⇌ Vb4+ (aq) + 4Cl- (aq).
Since the concentration of Vb4+ is unknown, we can assign it a variable, let's say x. The concentration of Cl- is 4x (since there are 4 Cl- ions for every Vb4+ ion).
According to the Ksp expression, Ksp = [Vb4+][Cl-]^4. Plugging in the values, we have Ksp = x(4x)^4.
Now, we can solve for x by taking the fourth root of both sides and then substituting the value of Ksp: x = (Ksp)^(1/4).
x = (3.23x10-10)^(1/4) = 2.12x10-3 mol/L.
Therefore, the concentration of Vb4+ in the saturated solution of VbCl4 is 2.12x10-3 mol/L (or 2.12 mM).
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The scale of a set of architectural drawings for a house is 1/2 inch = 1 1/2 feet. A drawing shows a model of a room that is 4 inches long. How would you find the actual length of the room? (In other words, how much you find the length, in feet, of the room in real life?)
What is 52 increased by 18
52 increased by 18 is basically 52 + 18 = 70
I hope this helps!
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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In which of the following cases would you most likely buy a point when closing on a home loan?
a. The monthly payment is reduced by $8 and you plan to sell the home at the end of 3 years.
b. The monthly payment is reduced by $10 and you plan to sell the home at the end of 4 years.
The monthly payment is reduced by $12 and you plan to sell the home at the end of 5 years.
d. The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.
C
Please select the best answer from the choices provided
Ο Α
C
B
0
C
OD
Answer:
d.The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.
Step-by-step explanation:
What is the domain?
(0,1), (-1, -1), (2, 4), (1, -1)
Hey there! I'm happy to help!
The domain is all of the x-values of a function.
So, we take all of the x-values from our points.
0,-1,2,1
To express the domain, you order the numbers from least to greatest and put it in brackets, so the domain is {-1,0,1,2}.
Have a wonderful day! :D
Answer:{-1,0,1,2}
Step-by-step explanation:
Convert from Celsius to Fahrenheit
Answer:
212° = F
Step-by-step explanation:
We know that,
9/5C + 32 = F
So, if C = 100°, then,
9/5 × 100 + 32 = F
900/5 + 32 = F
180 + 32 = F
212° = F
Hope it helps ⚜
Determine the partial fraction expansion for the rational function below: s/(s – 7)(s^2 - 49) S/(s - 7) (s2 - 49) Determine the partial fraction expansion for the rational function below. -25-56/ (5+3) (s^2+ 16) - 2s - 56 / (s +3)(s^2 + 16)
The partial fraction expansion for the rational function
S/ (s - 7) (s^2 - 49) = -25-56/ (5+3) (s^2+ 16) - 2s - 56 / (s +3) (s^2 + 16)
can be found by decomposing it into the sum of simpler fractions.
One way to do this is to use the method of long division and then match the coefficients of the resulting polynomials. The process is as follows:
Divide S by (s - 7) to get a quotient of S1 and a remainder of R1.
Divide R1 by (s^2 - 49) to get a quotient of S2 and a remainder of R2.
Write the expansion as S1 + S2 + R2/(s - 7)(s^2 - 49)
Alternatively, we can use the method of partial fraction decomposition by inspection.
To do this, you will write the rational function as the sum of simpler fractions with the same denominator.
S/ (s - 7) (s^2 - 49) = A/(s-7) + B/ (s^2 - 49) + (C*s + D)/(s^2 - 49)
where A, B, C, and D are unknowns that you will find by matching coefficients.
S = (A(s^2-49) + B(s-7) + C*s + D) / (s-7) (s^2-49)
You can use this equation to solve for A, B, C, and D by matching coefficients.
-25-56/ (5+3) (s^2+ 16) - 2s - 56 / (s +3) (s^2 + 16) = A/(s-7) + B/(s^2 - 49) + (C*s + D)/ (s^2 - 49)
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suppose babies born in a large hospital have a mean weight of 3215 grams, and a variance of 84,681 . if 67 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 3174 grams? round your answer to four decimal places.
The probability that the mean weight of the sample babies would be less than 3174 grams is 0.1237 (rounded to four decimal places).
Given that the mean weight of babies born in a large hospital is 3215 grams and the variance is 84681. A sample of 67 babies is chosen at random from the hospital. We need to find the probability that the mean weight of the sample babies is less than 3174 grams.
To solve this, we can use the central limit theorem, which states that the sample means of a large sample (n > 30) taken from a population with a mean μ and a standard deviation σ will be approximately normally distributed with a mean μ and a standard deviation σ / √n.
Here,
n = 67,
μ = 3215 and
σ² = 84681.
σ = √σ² = √84681 = 290.8191
σ / √n = 290.8191 / √67 = 35.4465
To find the probability that the sample mean weight of the babies is less than 3174 grams, we need to find the z-score.
z = (x - μ) / (σ / √n) = (3174 - 3215) / 35.4465 = -1.1572
From the standard normal distribution table, we find that the probability of z being less than -1.1572 is 0.1237.
Therefore, the probability that the mean weight of the sample babies would be less than 3174 grams is 0.1237 (rounded to four decimal places).
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A survey showed that 74% of adults need correction (eyeglasses, contacts, surgery, etc. ) for their eyesight. If 21 adults are randomly selected, find the probability no more than that of them need correction for their eyesight. Is a significantly number of adults requiring eyesight correction?
7.9 x 10⁻¹¹ is the probability of people who need correction for there eyesight.Yes, it is a significantly number of adults requiring eyesight.
The probability of no more than 21 out of 21 randomly selected adults needing correction for their eyesight would be calculated using the binomial probability formula:
(n choose k) × \(p^{k}* (1-p)^{n-k}\)
where n is the total number of trail. k is the number of successful trials (the number of adults not needing correction), p is the probability of a successful trial (the probability of an adult not needing correction)which is:
1-0.74 =0.26)
(n choose k) is the binomial coefficient, which is calculated by:
n! / (k! × (n-k)!).
So, the probability of no more than 21 out of 21 randomly selected adults needing correction for their eyesight would be:
(21 choose 21) ×0.26²¹ ×0.74⁰= 0.26²¹ = 7.9 x 10⁻¹¹
This is a very low probability, indicating that it is highly unlikely that no more than 21 out of 21 randomly selected adults would not need correction for their eyesight.
Yes, it is a significantly number of adults requiring eyesight correction. 74% is a high percentage.
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Please ASAP Help
Will mark brainlest due at 12:00
Answer: (-6,-4)
Step-by-step explanation:
Midpoint formula
(x,y) midpoint= ((x1+x2)/2, (y1+y2)/2)
X: (0-12)/2=-6
Y: (0-8)/2=-4
(-6,-4)
Answer:
A
Step-by-step explanation:
lucky for u, finding the midpoint is really easy to learn and master
alright so first you take a look at both points. we got:
- (0,0)
- (12,8)
we need to add the x coordinates
0+12 = 12
then divide by 2
12/2 = 6
6 the x coordinate for our segment midpoint
now we need to add the y coordinates
0+8 = 8
divide by 2
8/2 = 4
4 is the y coordinate for our segment midpoint
How now we combine the x value and y value to create a coordinate:
(6,4)
That matches choice A
which term best describes the vertex , relative maximum or relative minimum
The standard form of a quadratic equation is:
\(y=a(x-h)^2+k\)in this equation the vertex is (h,k). Moreover, if a>0 the parabola opens upward and vertex is a reletive minimum; if a<0 the parabola opens downward and the vertex is a maximum.
In this case the vertex is (-2,-1) and since a=1/3 then this is a minimum of the parabola.
The coordinates of the following points represent the vertices of a rectangle. W: (3,3) X: (8,3) Y: (8,7) Z: (3,7) What is the perimeter, in units, of rectangle WXYZ? *
The coordinates of the points represent the vertices of a rectangle. The perimeter of rectangle WXYZ is 36 units.
To find the perimeter of the rectangle, we need to add up the length of all four sides. We can use the distance formula to find the length of each side:
WX = 8 - 3 = 5
WY = 7 - 3 = 4
YZ = 8 - 3 = 5
XZ = 7 - 3 = 4
Adding up the length of all four sides, we get:
WX + WY + YZ + XZ = 5 + 4 + 5 + 4 = 18
However, we need to remember to count each side twice since the perimeter goes all the way around the rectangle. Therefore, the perimeter is:
2 × (WX + WY + YZ + XZ) = 2 × 18 = 36
So the perimeter of rectangle WXYZ is 36 units.
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Which statement is true about the graphs of the two lines y = -4/5x + 2 and y = -5/4x - 1/2?
Statements:
1. The lines are perpendicular to each other because -4/5 and -5/4 are opposite reciprocals of each other.
2. The lines are perpendicular to each other because 2 and -1/2 are opposite reciprocals of each other.
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
4. The lines are neither parallel nor perpendicular to each other because 2 and -1/2 are not opposite reciprocals of each other.
Answer:
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Step-by-step explanation:
Our answer is
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Because \(-\frac{5}{4}\) and \(-\frac{4}{5}\) are not opposite reciprocals because they share the same sign ( - ).
Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.
To determine if two lines are perpendicular, we need to compare their slopes. If the slopes are negative reciprocals of each other, the lines are perpendicular.
Let's analyze the slopes of the given lines:
Line 1: y = -4/5x + 2
The slope of Line 1 is -4/5.
Line 2: y = -5/4x - 1/2
The slope of Line 2 is -5/4.
To check if these slopes are negative reciprocals, we need to invert one of the slopes and change its sign. Let's invert the slope of Line 1:
Inverted slope of Line 1: -5/4
The inverted slope of Line 1 is not equal to the slope of Line 2 (-5/4 ≠ -5/4). Therefore, the slopes are not negative reciprocals of each other.
Hence, Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.
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Select all of the true tatement. Repone
π i the area of a circle of radiu 1. Π i the area of a circle of radiu 1. Π i the area of a circle of diameter 1. Π i the area of a circle of diameter 1. Π i the circumference of a circle of radiu 1
The true Statements are : π is the area of the circle of radius 1 and π is the circumference of diameter 1.
What is Area of a Circle ?
The area of a circle is pi times the radius squared (A = π r²)
Putting r =1 ,we get
A = π×(1)² = π
What is Circumference of a Circle ?
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi).
C = π×D
putting D =1 , we get
C = π
Hence, π is the area of the circle of radius 1 and π is the circumference of diameter 1.
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The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions. She determines that x must be between 0 and 10 and y must be between 20 and 40. Determine if Chaneece found the correct solution. If not, state the correct solution.
Chaneece did not find the correct solution
Determining if Chaneece found the correct solutionFrom the question, we have the following parameters that can be used in our computation:
x and y are the integers
So, we have
x + y ≤ 40
x - y ≥ 20
Add the equations
So, we have
2x = 60
Divide
x = 30
Next, we have
30 + y ≤ 40
So, we have
y ≤ 10
This means that
x = 30 or between 20 and 30
y = 10 or between 0 and 10
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there are 18 sweets in a packet. 8 of the sweets are mint what fraction of the sweets are not mint
Answer:
10/18 of the sweets are not mint
you can also simplify this fraction and say 5/9