The marginal cost of producing x units is equal to 300 multiplied by the sum of 6 and 4x dollars per unit.
The marginal cost for producing x units is calculated by taking the derivative of the cost equation with respect to x. The cost equation is C = 300(6 + 4x). Differentiating with respect to x, the marginal cost is found to be the derivative of the cost equation, which is equal to 300 multiplied by the derivative of the equation, 6 + 4x. The derivative of 6 + 4x is 4, so the marginal cost is 300 multiplied by 4, or 1200 dollars per unit. Therefore, the marginal cost for producing x units is 1200 dollars per unit.
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Which best represents the equation of the line below?
2x y = 2
The solution is Option C.
The equation of line is y = 2x - 2 , where the slope m = 2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
2x - y = 2 be equation (1)
On simplifying the equation , we get
Adding y on both sides of the equation , we get
y + 2 = 2x
Subtracting 2 on both sides of the equation , we get
y = 2x - 2
Therefore , the value of A is y = 2x - 2
Hence , the equation of line is y = 2x - 2 and the graph is plotted
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for the following exercises, determine whether the vector field is conservative and, if it is, find the potential function. 107. f(x, y)
To determine whether the vector field f(x,y) = (6x + 5y)i + (x - 2y)j is conservative, we must first calculate its curl. The curl of the vector field is the vector field given by the equation:
curl(f(x,y)) = (5 - 2)i + (1 + 6)j = 3i + 7j
Since the curl of the vector field is equal to zero, this means that the vector field is conservative.
To find the potential function for this vector field, we need to calculate the line integral of the vector field along any closed path. In other words, we need to calculate the following integral:
V(x,y) = ∫C f(x,y) ⋅ ds
Where C is any closed path. We can solve this integral using the fundamental theorem of calculus, which states that the line integral of a conservative vector field is equal to the difference between the potential function evaluated at the two end points of the path.
Thus, we can solve for the potential function by finding the value of the potential function at two points and taking the difference of these values. For example, we can choose the points (0,0) and (1,1). At (0,0), the potential function is 0, and at (1,1), the potential function is 3 + 5 + (-2) + 1 = 7. Thus, the potential function is V(x,y) = 3x^2 + xy + 2y^2.
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A square membrane, size 1X1 is placed on the xy-plane. The edges of the membrane are held fixed and the membrane is stretched into a shape modeled by the function f(x,y)=x(x-1)y(y-1). Supposed that the membrane starts to vibrate from rest. Determine the position of each point on the membrane for t>0. For this problem take c= t so that the equation to solve is up 3 (14+Uv) ; 0
The position of each point on the membrane for t>0 is given by u(x,y,t) = x(x-1)y(y-1) + (14+u) c2t.
The position of each point on the membrane can be determined by solving the equation u xx + u yy = c2u, where u is the displacement of the membrane from its equilibrium position and c is the speed of the wave propagation. Since we are given f(x,y) = x(x-1)y(y-1), we can solve this equation to find u. Differentiating f(x,y) twice with respect to x and y gives us the corresponding derivatives of u. Plugging these derivatives into the equation gives us u xx + u yy = (14+u) c2. Solving this equation yields the displacement of each point on the membrane for t>0. Thus, the position of each point on the membrane for t>0 is given by u(x,y,t) = x(x-1)y(y-1) + (14+u) c2t.
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Given f(x) = 2x² - x - 12, find f (8)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{f(x) = 2x^2 - x - 12}[/tex]
[tex]\mathsf{f(x) = 2(8)^2 - 8 - 12}[/tex]
[tex]\mathsf{f(x) = 2(8^2) - 8 - 12}[/tex]
[tex]\mathsf{f(x) = 2(8 \times 8) - 8 - 12}[/tex]
[tex]\mathsf{f(x) = 2(64) - 8 - 12}[/tex]
[tex]\mathsf{f(x) = 128 - 8 - 12}[/tex]
[tex]\mathsf{f(x) = 120 - 12}[/tex]
[tex]\mathsf{f(x) = 108}[/tex]
[tex]\huge\text{Therefore your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{f(x) = 108}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I understand how to make stemplots, but am unsure how to write the data down with the truncated leaf unit of 10. Would 359 be under 3|5, like the example given in the question gives?
The stem-leaf representation of the data is,
0|7 9 9
1|0 1 3 4 4 4 4 5 5 7 7
2|0 5 7
3|5.
What is the stem-leaf plot?The values of the data are divided into a stem and a leaf in a stem-leaf plot.
The initial digit or digits will be put in the stem position, and the final digit will be written in the leaf position.
Let us first rearrange the data in ascending order,
78, 95, 96, 103, 112, 134, 141, 145, 147, 148, 153, 158, 172, 172, 200, 255, 271, 359.
The data is down with the truncated leaf unit of 10, 1|4 represents a number in the 140s.
0|7 9 9
1|0 1 3 4 4 4 4 5 5 7 7
2|0 5 7
3|5.
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A man is disabled in an accident and wants to receive an insurance payment that will provide him with $2400 at the
end of each month for 20 years. If the payment can be placed in an account that pays 6% compounded monthly, what
size payment should he seek?
He should seek a payment of $
(Simplify your answer. Round to the nearest cent as needed.)
The man should seek a payment of $725.08
How to determine the size paymentThe amount of money he wants to receive can be calculated using the formula for compound interest:
A = P * (1 + r/n)^(nt)
where A = $2400 ---- final amount
P = principal
r = 6%, -- interest rate
n = 12 --- number of times the interest is compounded
t = 20, number of years (20).
So, we have
2400 = P * (1 + 6%/12)^(12 * 20)
This gives
P = 2400/3.310
Evaluate
P = 725.08
So, the man should seek a payment of $725.08
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Identify the volume of a regular hexagonal pyramid with base edge length 8 in. and height 10 in.,rounded to the nearest tenth.O 554.3 in3 O 1108.5 in3 O 1662.8 in3 O 3325.5 in3
The volume of the pyramid is 554.3 inches cube.
A hexagonal pyramid is a 3D design in which the base is hexagonal and the faces or sides are isosceles triangles, which come together to form the hexagonal pyramid at the summit of the pyramid. A hexagonal pyramid has six sides on the base and six isosceles triangles on the sides. Heptahedron is another name for a hexagonal pyramid. There are 7 faces, 12 edges, and 7 vertices in a hexagonal pyramid.
We have a side of a regular hexagon is 8 inches, and the height of the pyramid is 10 inches
The volume of the pyramid whose base is a hexagon
[tex]Volume=\frac{\sqrt3}{2}b^2h\\\\Volume =0.866*10*8*8\\= 554.3[/tex]
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Which best describes the solution set for the inequality below?
3x + 7 ≤4x-8 or-2x + 3≥1
Ox≤1or x ≥ 15
Ox≥1 orx≤ 15
Ox≥1
Ox≤ 15
The solution for the given inequalities is x≥15 or x≤1. Therefore, option A is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequalities are 3x + 7 ≤ 4x-8 or-2x + 3≥1.
Here, 3x + 7 ≤ 4x-8
Subtract 3x on both the sides of an inequality, we get
7 ≤ x-8
Add 8 on both the sides of an inequality, we get
15≤ x
x≥15
Here, -2x + 3≥1
Subtract 3 on both the sides of an inequality, we get
-2x≥-2
Divide -2 on both the sides of an inequality, we get
x≤1
So, x≥15 or x≤1
Therefore, option A is the correct answer.
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You know," Ernesto said, "I could help you remember iready pls helps
Answer:
Which tools you need to useAt least one of the slopes in a system is positive. One of the y Intercepts is above the x-axis and he other is below the x axis and the stopes are opposite reciprocals are each other. The lines meet at where the x value is 6 and the y value is -2 and both of the equations are given in slope-Intercept form. What is the solution to this system?
The solution to the system of equations shown in the graph is (6, -2)
What is an equation?An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.
The standard form of a linear equation is:
Ax + By = C
Where A, B and C are constants
The slope intercept form of a linear equation is:
y = mx + b
Where m is the slope and b is the y intercept
The solution to a system of linear equations is the point where the two lines meet.
The lines meet at where the x value is 6 and the y value is -2, hence the solution is (6, -2)
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Algebra question please helppp
Answer:
min -1 max 3
Step-by-step explanation:
min: when x= -10 so f(x) = ∛-1 = -1
max: when x= 18 so f(x) = ∛27= 3
Explain how you would draw the triangle given three side lengths: 6 cm, 7 cm, and 9 cm.
Answer:
see attached
Step-by-step explanation:
You want instructions for drawing a triangle with side lengths 6 cm, 7 cm, and 9 cm.
Side lengthsIt works reasonably well to ...
Mark the longest side (9 cm) on a straight line using a ruler. Set a compass to 6 cm and draw an arc using one of the end points as the center.Repeat from the other end point using a setting of 7 cm.The point where the arcs cross is the third vertex of the triangle.
Draw the triangle by connecting the vertices using a straightedge.Tafu is working with subatomic particles in the Physics lab. A positron is traveling in a straight line down the particle accelerator. Tafu models its position with the function p(t)=t^2/t−1 where t >1.
Calculate
a)limt→[infinity]p(t)
b)limt→1+p(t)
c)limt→2p(t)
The limit value for each function is:
a)limt→[infinity]p(t) = ∞b)limt→1+p(t)= 1.c)limt→2p(t)=0a) To calculate limt→[infinity]p(t), we can start by dividing the numerator and denominator of the equation by t, to get:
p(t) = t/t-1
Next, we can take the limit of this expression as t approaches infinity:
limt→[infinity]p(t) = limt→[infinity]t/t-1
Since t is the only variable in the expression, as t approaches infinity, the expression will approach infinity as well. Therefore, limt→[infinity]p(t) = ∞
b) To calculate limt→1+p(t), we can start by rewriting the equation as p(t) = 1/(t-1). Next, we can take the limit of this expression as t approaches 1:
limt→1+p(t) = limt→1 1/(t-1)
Now, we can use the limit laws to simplify the expression:
limt→1+p(t) = 1/limt→1(t-1)
Since the denominator is approaching 0 as t approaches 1, the expression approaches infinity. Therefore, limt→1+p(t) = 1.
c) To calculate limt→2p(t), we can start by dividing the numerator and denominator of the equation by t2, to get:
p(t) = 1/t-1
Next, we can take the limit of this expression as t approaches 2:
limt→2p(t) = limt→2 1/t-1
Now, we can use the limit laws to simplify the expression:
limt→2p(t) = 1/limt→2(t-1)
Since the denominator is approaching 0 as t approaches 2, the expression approaches infinity. Therefore, limt→2p(t) = 0.
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Ver en español
Carmen went rock climbing at the climbing gym for 1
1
2
hours on Thursday. On Saturday, she went to Castle Rock State Park and climbed for 1
1
2
times as long. How much time did she spend rock climbing in all?
The total time taken by Carmen in climbing the rocks will be 2¹/₄ hours.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Carmen went rock climbing at the climbing gym for 1¹/₂ hours on Thursday. On Saturday, she went to Castle Rock State Park and climbed for 1¹/₂ times as long.
The total time of climbing will be calculated as:-
Time = 1¹/₂ x 1¹/₂
Time = ( 3 / 2 ) x ( 3 / 2 )
Time = 9 / 4
Time = 2¹/₄ hours.
Hence, the climbing time would be 2¹/₄ hours.
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line a passes through the points (0,4). line b passes through the points (0,7) and (7,0). are the lines parallel
Both lines A and line B have the same slope, hence they are parallel
What is an equation?An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.
The standard form of a linear equation is:
Ax + By = C
Where A, B and C are constants
The slope intercept form of a linear equation is:
y = mx + b
Where m is the slope and b is the y intercept
The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:
m = (y₂ - y₁) / (x₂ - x₁)
Two lines are parallel to each other if they have the same slope.
Line A passes through the points (0,4) and (4, 0)
Slope = (0 - 4) / (4 - 0) = -1
Line B passes through the points (0,7) and (7, 0)
Slope = (0 - 7) / (7 - 0) = -1
Since both lines have the same slope, they are parallel
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Below are two inequalities and the graphs of their lines without the shading. By
imagining where the shading should be, identify which point would satisfy BOTH
inequalities.
y<-5/6x+2
y>1/3x+3
Shaded region is between the lines corresponding to both inequalities.
Point that satisfy both inequalities is (-6/7 , 19/7)
What is inequality?Inequalities are the mathematical expressions in which both sides are not-equal. In inequality, unlike in equations, we compare two values.
Given inequalities
y<(-5/6)x+2
equation of the line becomes
y = (-5/6)x + 2 ------(1)
y>(1/3)x+3
equation of the line becomes
y = (1/3)x + 3 --------(2)
By the inequalities
(1/3)x + 3 < y < (-5/6)x + 2
shaded region should be between the lines.
Solving equation 1 and 2
(-5/6)x + 2 = (1/3)x + 3
(-5/6)x - (1/3)x = 3 - 2
(-5 - 2)x/6 = 1
-7x = 6
x = -6/7
Putting value of x in equation 2
y = (1/3)(-6/7) + 3
y = -2/7 + 3
y = (-2 + 21)/7
y = 19/7
Point is (-6/7 , 19/7)
Hence, point that satisfy both inequalities is (-6/7 , 19/7),
shaded region is between both lines corresponding to the inequalities.
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A is four more than three times of B
Answer:
A = 3 * B + 4
Step-by-step explanation:
A - 4=3 * B (given)
A = 3 * B + 4
simplify the following monomial: 16x^2y-4xy^2-5x^2y+10xy^2
The required simplified form of the given monomial is 11x²y + 6xy².
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The monomial is given in the question, as follows
16x²y - 4xy²- 5x²y + 10xy²
Rearrange the like terms in the above expression,
16x²y - 5x²y - 4xy² + 10xy²
Add similar elements,
11x²y - 4xy² + 10xy²
Subtract similar elements, and we get
11x²y + 6xy²
Thus, the required simplified form is 11x²y + 6xy².
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analyze the distribution of average account balance using histogram, and compute appropriate descriptive statistics. write a paragraph describing distribution of balance and use appropriate descriptive statistics to describe center and spread of the distribution (you can review basic statistics concepts at:
When making or analysing a histogram, you should keep in mind the following words and concepts.
Skewness of a normal distribution
kurtosis
Your histogram will be symmetrical if the data on which it is based are regularly distributed.
Your histogram will be positively biassed if it has more little than large numbers. Your histogram will be negatively skewed if there are more large than little numbers.
positive skew... mean... median... mode... mode Mean Median Mode = median = mean with a negative skew
A histogram's overall look is related to kurtosis in addition to skewness:
tall and lean... leptokurtic typical... mesokurtic broad and short platykurtic
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Stacey is designing a custom rug for a client. The current design is a rectangle with a width of and a length of . The client wants the rug to be larger but doesn't want the width to exceed . Select any of the scale factors that Stacey could use to dilate the current dimensions and meet the customer's requests. Select 2 correct answer(s)() SF : 1.2 () SF : 0.8 () SF" 5/6
Either SF: 1.2 or SF: 0.8. The scale factor that Stacey could use to dilate the current dimensions and meet the customer's requirements are:
When Stacey dilates the rug using a scale factor, the new dimensions of the rug will be found by multiplying the current dimensions by the scale factor.
For a scale factor of 1.2, the new width and length will be:
Width: * 1.2 =
Length: * 1.2 =
Since the new width is less than 8, the scale factor of 1.2 meets the customer's requirements.
For a scale factor of 0.8, the new width and length will be:
Width: * 0.8 =
Length: * 0.8 =
Since the new width is also less than 8, the scale factor of 0.8 meets the customer's requirements.
So, either SF: 1.2 or SF: 0.8 can be used by Stacey to dilate the current dimensions and meet the customer's requirements.
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I need help solving this
41x-2
99⁰
140⁰
The value of x based on the information about the triangle is 3.
How to calculate the value of xIt should be noted that the total sum of angles in a triangle is 180°. Based on the information given, this will be illustrated as:
180 - (180 - 140) - (180 - 99)
= 180 - 40 - 81
= 59
Therefore, 41x - 2 + 59 = 180
41x = 180 + 2 - 59
41x = 123
Divide
x = 123 / 41.
x = 3.
The value of x is 3.
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A figure can have more than one line of symmetry.
How many lines of symmetry does this flag have?
(Hint: How many ways can you cut the figure in
half?)
The flag have four lines of symmetry.
What is Coordinate geometry?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.
The given flag has four lines of symmetry.
We can cut the flag in to half by horizonal way.
In the vertical way.
and we can make the flag to half by diagonal way in two ways.
Hence, the flag have four lines of symmetry.
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numerous studies have found a strong negative association between time spent watching television (x) and grades in school (y). in order to prove that more tv time causes bad grades we would need to do a controlled .
In order to prove that more tv time causes bad grades we would need to do a controlled Experiment.
The correlation between time spent watching television and grades in school suggests a relationship between the two variables, but it does not necessarily prove causality. In order to establish a causal relationship between the two variables, it is necessary to conduct a controlled experiment.
In a controlled experiment, the independent variable (in this case, TV time) is manipulated, while the dependent variable (grades in school) is measured. By controlling for other possible factors that may affect grades, such as study habits, home environment, and socio-economic status, it is possible to determine whether changes in TV time directly impact grades in school. This would provide stronger evidence for a causal relationship between the two variables.
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Evaluate the following definite integral. tet(i-j - 5k)dt Select the correct choice below and fill in the answer boxes to complete your choice. O A. Jtet(i -j- 5k)dt = ((i+ j+ k+c O B. Joe'-j-skydu = Oj+OK
The answer is neither A nor B for the following definite integral.The definite integral is the difference between the values of the antiderivative evaluated at the limits of integration.
The antiderivative of tet(i-j-5k) with respect to t is not a standard mathematical function, and its exact form cannot be determined without more information about the function tet(i-j-5k). The indefinite integral is represented by an arbitrary constant "c". The definite integral is the difference between the values of the antiderivative evaluated at the limits of integration, and the value of the definite integral can only be found if the limits of integration are known. Therefore, the answer is neither A nor B.
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Which description compares the domains of Function A and Function B correctly?
Function A: f(x)=−3x+2
Function B:
Half of a parabola graphed on a grid in Quadrant One with the x and y axis beginning at negative ten and increasing in increments of two until reaching ten. The parabola, labeled g of x, contains a filled in point at begin ordered pair zero comma zero end ordered pair, passes through begin ordered pair two comma two end ordered pair and begin ordered pair four comma eight end ordered pair, and as a smooth curve while extending to infinity.
The domain of both functions is the set of real numbers greater than or equal to 0.
The domain of both functions is the set of real numbers.
The domain of Function A is the set of real numbers.
The domain of Function B is the set of real numbers greater than 0.
The domain of Function A is the set of real numbers.
The domain of Function B is the set of real numbers greater than or equal to 0.
The domain of a function is the set of its possible inputs. it means that the set of input values for which the function is defined.
The domain of Function A is the set of real numbers.
The domain of Function B is the set of real numbers greater than or equal to zero.
Here, function A is given that,
Since, above function can take any value as its input.
That is function is defined for every value of x.
Therefore, The domain of Function A is the set of real numbers.
Here, graph of function B is attached.
From graph of function B, it is observed that graph of function is right side of Y - axis and starting from x = 0. It means that function B can take any value greater than equal to zero.
Therefore, The domain of Function B is the set of real numbers greater than or equal to zero.
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A car owner pays for new brakes that cost $756.25, with a credit card that has an annual rate of 24.5%. Determine the total amount paid, if the car owner pays $100 a month, until the balance is paid off.
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
$830.52
$73.76
$892.64
$185.28
The rough calculation yields a amount of $900
How is interest charged on credit card?If you carry a balance on your credit card, the card company will multiply it each day by a daily interest rate and add that to what you owe. The daily rate is your annual interest rate (the APR) divided by 365. For example, if your card has an APR of 16%, the daily rate would be 0.044%.
Given here: price of brakes =$756.25 and annual rate on credit card is 24.25%
Thus the if installment is $100 then It will take 9 months to payoff the balance. The total interest is $73.54.
Hence, The rough calculation yields a amount of $900
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Answer:
830.52
Step-by-step explanation:
got it right on test..
Grandma Gertrude gave 131313 pieces of jewelry and Grandma Fien gave yyy pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 555 Carlson sisters.
In a case whereby Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves the number of pieces of jewelry that each sister receive can be expreesed as (13 + y)/5.
How can the the number of pieces of jewelry be calculated?The concept that will be used here is simplification. The pieces of jewelry by Grandma Gertrude is 13 pieces
Then the pieces of jewelry by Grandma Fien can be seen as " y ".
Since 5 Carlson sisters available . The number of pieces of jewelry each sister receive. can be calculated as:
Total jewlry= (13 + y) which is needed by 5 sisters, the each of the sisters will have = [(13 + y)/5]
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complete quesion:
Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 5 Carlson sisters.
How many pieces of jewelry did each sister receive?
Jenna has 10 3/4 yards of fabric. She uses 6 2/3 yards to make a banner.
How much fabric is left?
Enter your answer in the box as a mixed number in simplest form.
(answer) yards
Answer:
[tex]4\frac{1}{12}[/tex] yards
Step-by-step explanation:
[tex]\frac{43}{4} -\frac{20}{3} \\\frac{129}{12} -\frac{80}{12} \\=\frac{49}{12} \\= 4\frac{1}{12}[/tex]
5.
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TEACH THIS
WORKSHEETS, ACTIVITIES & GAMES
Complete the sentences with a, an, the, or no article (-).
1. We went to Vietnam on ..... holiday and spent a week in ........ north of ........ country.
2. I've got ........ rabbit and ........ dog......... rabbit's called Snowy and ........ dog's called Eric.
school photo, Kim is standing on ........ right and Harry is standing in ........
middle next to ........ Headmaster.
3. In ........
4. I live in ........ flat in ........ centre of London, very close to ........ Big Ben and
Houses of Parliament.
5. Loch Ness is
Monster.
most famous lake in ........ Scotland because of ........ Loch Ness
ARTICLES
Articles Practice
6. David has ........ job working for ........ United Nations in ........
far away from his office. It takes him ........ hour to get to work.
7. They found ........ Titanic at ........ bottom of ........ Atlantic Ocean.
8. In
...... USA, most people go to work by
clinic because he had
9. My uncle went to ........
10. Phuket is in
11. We went to ........
..... car.
Philippines.
18. There are two bedrooms, one with ........
Netherlands, but he lives
ear infection.
south of ........ Thailand on ........ west coast.
wedding, but we couldn't park near ........ church, so we had to walk
for ten minutes to get there.
12. She decided to go to ........ top of ........ Eiffel Tower to take photos of ........ city.
border of ........ Mexico and ........ United States.
13. El Paso is on ........
....... igloo near ........ Arctic Circle.
14. I know ........ Eskimo. He lives in ........
15. I met ........ Queen of ........ England when I was in ........ UK.
16. My sister stayed at ....
Ritz Hotel for her honeymoon.
17. The man was sent to ........
prison for robbing ........ convenience store in
double bed and one with ........ single bed.
windows of ........ large bedroom look onto ........ small garden.
19. ........ River Nile in Egypt flows into ........ Mediterranean Sea.
20. The population of ........ United Kingdom is approximately 65 million.
ssion granted to reproduce for classroom use.
We went to Vietnam on a holiday and spent a week in the north of the country. 2. I've got a rabbit and a dog. The rabbit's called Snowy and the dog's called Eric.
What are articles?A brief, monosyllabic word called an article is used to indicate whether a noun is specific or not. Normally, articles come before nouns, and because they are employed to describe the noun, they can be thought of as adjectives.
1. We went to Vietnam on a holiday and spent a week in the north of the country.
2. I've got a rabbit and a dog. The rabbit's called Snowy and the dog's called Eric.
school photo, Kim is standing on the right and Harry is standing in the
middle next to the Headmaster.
4. I live in a flat in the centre of London, very close to the Big Ben and
Houses of Parliament.
5. Loch Ness is a Monster.
most famous lake in the Scotland because of the Loch Ness
6. David has a job working for the United Nations in a far away from his office. It takes him an hour to get to work.
7. They found the Titanic at the bottom of the Atlantic Ocean.
8. In the USA, most people go to work by clinic because he had
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Distinguish between absolute and relative difference. Choose the comect answer below OA Absolute difference is the size of the relative dference in comparison to the reference value and can be expressed as a percentage. Relative diference describes the actual increase or decrease rom a reference value to a new value. OB. Absolute diference is the actusal diference between the compared value and the reference value. Relative difference describes the size of the absolute diference in comparson to the reference value and can be expressed as a percantage OC. Absolute diterence describes he size of the relative difference in comparison to the reference value and can be expressed as a percentage. Relative dference is the actual dference between the compared value and the reference value. O D. Absolute diference describes the actual increase or decrease from a reference value to a new value.
Relative value is the opposite of absolute value. while absolute cost examines the cost of an asset or organisation with out evaluating it to any others, relative fee is primarily based on the value of similar assets or businesses.
Relative value is a technique of determining an asset's worth that takes into account the value of similar belongings. that is in contrast with absolute price, which seems most effective at an asset's intrinsic value and does not evaluate it to other assets. Absolute change refers to the easy difference inside the indicator over two intervals in time, i.e. Relative change expresses the absolute exchange as a percentage of the price of the indicator in the earlier length. A relative maximum or minimum happens at turning factors at the curve wherein because the absolute minimal and most are the proper values over the entire area of the function. In different words the absolute minimum and most are bounded by means of the area of the function.
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