The required total cost of packaging each comforter is $89.20.
How to calculate the total cost of packaging each comforter?Activity estimated indirect activity costs allocation base estimated quantity of allocation base,
materials handling $ 12,600 number of parts 4,200 parts
Cost per part = $ 12,600/4,200 = $3
assembly$ 55,440 number of parts 4,200 parts,
Cost per part = $ 55,440/4,200 = $13.20
packaging $10,920 number of comforters 1,050 comforters each comforter consists of 4 parts
Cost per part =$10,920 /1,050 = $10.40
Then, For all cost of 4 parts,
Materials handling = ($3 x 4) = $12
Assembly = ($13.20 x 4) = $52.80
Packaging = ($10.40 x 1) = $10.40
Total overhead cost = $75.20
And Direct materials cost = $14.00
So, total manufacturing cost = $75.20 + $14.00 = $89.20
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Edward did the following work to solve a system shown below. What does his answer mean?
Answer:
see explanation
Step-by-step explanation:
After solving a system of equations.
the solution is
36 = 32 ← not possible
the fact that we have 36 = 32, an impossible equation, means that the system has no solution.
For the cards shown below what is the probability of choosing yellow card and then a 1 if the first card is replaced before the second card is drawn?
The study of probability is a field of mathematics that focuses on determining the possibility that an event will occur.
Describe probability..?"Finding the likelihood of the occurrence of an event" is the focus of the mathematical discipline known as probability.Formula of the probability of an event A is: [tex]P(A) = \frac{n(A)}{n(S)}[/tex]where [tex]n(A)[/tex] is the number of favorable outcomes[tex]n(S)[/tex] is the total number of events in the sample space.Given: a deck of cards with 2 red cards and 3 yellow cardsTotal cards = 5First we find the probability of choosing red cards.The probability of choosing one red card is 2/5.To learn more about probability refer to:
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What is the slope of the line that passes through (-5,6) and (-2,4)
The slope of the line that passes through the given points (-5, 6) and (-2, 4) as required in the task content is; -2 / 3.
What is the slope of the line that passes through the given points; (-5,6) and (-2,4)?It follows from the task content that the slope of the line that passes through the given points; (-5,6) and (-2,4) be determined as required.
On this note, since the slope, otherwise termed the average rate of change is given by the formula;
Slope, m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Therefore, given the points; (-5, 6) and (-2, 4), the required slope of the line is;
m = ( 4 - 6 ) / ( -2 - (-5) )
m = -2 / (-2 + 5)
m = -2 / 3
Therefore, the required slope of the line which passes through the given points is; -2 / 3.
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Name the property of a quality that justifies this statement
If m
A. Transitive property
B. Symmetric property
C. Reflexive property
D. Subtraction property
Subtraction property will satisfy given inequality option D.
Let's understand what is the Subtraction property
By balancing an equation with the same mathematical operation on both sides, the term "subtraction property of equality" is used.
Given inequality m< A + M <B = M<C. if we subtract both side equal value then we will get M<A = M<C - M<B. then we will get this result
or we can do cross-verify all other option
Transitive-According to the transitive property, "all the quantities are equal to each other if two quantities are equal to the third quantity."
Symmetric-Actually quite straightforward, equality has the symmetric property. According to this property, if a = b, then b must also be a. In other words, even if two equations' sides are switched, the.
Reflexive - It is said that a number is always equal to itself because of the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a. a=a.
So here we can see option D is most probable solution for given inequality.
Given Question is incomplete complete Question here
Name the Property of Equality that justifies the statement:
If m< A + M <B = M<C.
Then, M<A = M<C - M<B
Transitive Property
Symmetric Property
Reflexive Property
Subtraction Property
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Express the radical using the imaginary unit, ¿.
Express your answer in simplified form.
√-18 = ±
Answer: √-18 = 3√2 i
Because i is √-1 so think like √18 x √-1 which means √18 i so answer is 3√2 i
elves really love candy canes. they eat 2 a day how many candy canes do they eat throughout the entire year
Given \qquad m \angle ABDm∠ABDm, angle, A, B, D is a straight angle. \qquad m \angle CBD = 8x + 16^\circm∠CBD=8x+16 ∘ m, angle, C, B, D, equals, 8, x, plus, 16, degrees \qquad m \angle ABC = 6x - 60^\circm∠ABC=6x−60 ∘ m, angle, A, B, C, equals, 6, x, minus, 60, degrees Find m\angle ABCm∠ABCm, angle, A, B, C:
The value of measure m∠ABC will be 24°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
As per the given m∠ABD is a straight angle.
m∠ABD = 180°
m∠ABC + m∠CBD = m∠ABD
6x - 60 + 8x + 16 = 180°
14x - 44 = 180
14x = 224
x = 14
Thus, m∠ABC = 6(14) - 60 = 24°
Hence "Measure ∠ABC will equal 24° in value".
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The correct question below,
solve for m,n, and p.
The measure of angle n is 73°, the measure of angle m is 51° and the line p measures 24 cm.
What is midpoint theorem?The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.
From the given figure, n is the midpoint of one side of the quadrilateral and m is the midpoint of other side of the quadrilateral.
Pair of opposite sides are parallel
Since, m and n are midpoints on two sides of quadrilateral, so the line passes through the midpoints is parallel to other two sides
Then, ∠n =73° and ∠m =51°
p = 1/2 ×48
⇒ p =24 cm
Therefore, the length of line p is 24 cm.
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what common side do △ADE and △BED share?
Answer:
ED
Step-by-step explanation:
They both have side ED in their triangles!
64/8 I’m the simplest form
Answer:
8
Step-by-step explanation:
The first step would be to determine if both the numerator and the denominator have a highest common factor. If they do, then the number can be simplified into a smaller fraction. Here, the denominator can be fully divided out by 64 to make the whole number 8
what is the product of 73 and 4.4 x 10^6 expressed in scientific notation
Answer:
321.2 * 10^6
Step-by-step explanation:
First at all:
4.4 x 10^6 = 4.400.000
Then 73 * (4,4 x 10^6) = 73* 4.400.000
(73)*(4.400.000) = 321.200.000
In scientific notation:
321.2 * 10^6
What is the product of 6/sqrt(3) and 3/sqrt(6) in simplest radical form?
The answer is 54√2.
What is simplest radical form?
The radical form is fairly simple. It refers to the form of numbers or algebraic expressions below radicals. However, this can be improved by manipulating numbers or algebraic expressions in their radical form into what is called the simplest radical form. There are no longer any square, cube, fourth, or other roots to be found when a radical is simplified into its simplest possible form. It also entails eliminating any radicals from the fraction's denominator.
SSolving the equations,
=6√3 × 3√6
=( 6 × 3 )√( 6 × 3 )
=18√18
= 18√(2×9)
=18 ( √2 × √9 )
=(18 × 3)√2
= 54√2
Therefore, The answer is 54√2.
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Your parents are saving up for a fun vacation at Disney. They have figured out it will
cost them a total of $3,400. If they already have $1,500 and plan on saving for the next
6 months, how much will they need to save each month to have at least enough money for
the trip? Write and solve an inequalit. Interpret your solution in sentence form.
A total of $316.67 has to be saved per month for the vacation at Disney.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is that your parents are saving up for a fun vacation at Disney. They have figured out it will cost them a total of $3,400. They have already saved $1,500 and plan on saving for the next 6 months,
Assume that they will have to save $x every month. So we can write the inequality as -
6x ≥ (3400 - 1500)
6x ≥ 1900
x ≥ (1900/6)
x ≥ 316.67
Therefore, your parents will have to save a total of $316.67 per month for the vacation.
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Find the simple interest:
Principal: $1,750
Interest Rate: 2%
Time: 9 years
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a
standard deviation of 4.5 inches.
Calculate the range of horn lengths for the middle 95% of Texas Longhorn cattle. Show your work or
explain how you got your answer.
The range of horn lengths for the middle 95% of Texas Longhorn cattle is (51 inches, 69 inches)
What is a normal distribution?
A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.
Here, we have
Given:
Horn lengths of texas longhorn cattle are normally distributed
The mean horn spread: μ = 60 inches
With a standard deviation: σ = 4.5 inches
According to the normal distribution, the range for the middle 95% of the values is: (μ - 2σ, μ + 2σ)
Replacing the given values:
(60 inches - 2(4.5 inches), 60 inches + 2(4.5 inches))
(60 inches - 9 inches, 60 inches + 9 inches)
(51 inches, 69 inches)
Hence, the range of horn lengths for the middle 95% of Texas Longhorn cattle is (51 inches, 69 inches)
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Write the coordinate rule for a dilation by a scale factor of 4 centered at the point (5,
-8).
Answer: use a graf
Step-by-step explanation:
find the negative numbers and positive number
2, 10, 18,...
Find the 31st term.
A virus reproduces by tripling every half hour. If a single virus gets into your system and continues at this rate, how much of it will be in your system after a 24-hour period. (hint: there would be two instances of tripling after the first hour)
In 24-hour period there will be 94143178827 virus in system.
What is geometric Sequence?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
Given:
A virus reproduces by tripling every half hour.
In start the virus is 1.
After half an hour, virus= 3
After one hour= 9 virus
After 1 1/2 hour= 27
We get a geometric Sequence
1, 3, 9, 27, 81, ....
Using
[tex]a_n = a_1 (r)^{n-1[/tex]
[tex]a_{24} = 1 ( 3/1)^ {23[/tex]
[tex]a_{24[/tex] = 94143178827
Hence, In 24-hour period there will be 94143178827 virus in system.
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Andy goes shopping with his friend Silvio, an exchange student from Brazil. Silvio wants to know what everything costs in
Brazilian reals. He knows 1 American dollar is equivalent to 2 Brazilian reals. Let x represent American dollars and y represent Brazilian reals. This situation is graphed below. Which equation represents this situation?
A) y=-2x
B) y=4x
C) y-2x
D) y=1/2x
Answer:
Step-by-step explanation:
answer is b
Skylar bought 30 movie ticket for a total of $200. Adult ticket cot 58 each, child ticket cot $3. 50 cach, and enior ticket cot $6 each. He bought twice the number of adult ticket than the number of child and enior ticket combined. How many of each type of ticket did Skylar buy?
He spent $200 on 0 tickets for children, 10 tickets for adults, and 20 tickets for seniors.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here,
Total number of tickets brought=30
Total amount paid=$200
Cost of kid ticket=$3.5
Cost of adult ticket=$8
Cost of senior ticket=$6
Let x, y, z be the number of tickets brought for kid, adult, senior.
x+y+z=30
3.5x+8y+6z=200
2y=x+z
x+y+z=30
3y=30
y=10
x+z=20
z=20-x
3.5x+80+6(20-x)=200
3.5x+80+120-6x=200
2.5x=0
x=0
z=20
He bought 0 tickets for kid, 10 tickets for adult and 20 tickets for senior with an amount of $200.
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Similar Triangles Sorting Activity 1 (be sure each pair of triangle is in the right column)
Similar Triangles
*sorting mat*
Similar Triangles
NOT Similar Triangles
The triangle pair that is similar from the given pair is "Triangle Pair 2" .
In the question ,
four triangle pairs are given ,
we have to select the triangle pair that is similar ,
In triangle Pair 2 ,
In triangle BAD and triangle BCD ,
angle A = angle C ....given ,
side BD = side BD ......because common side
side AD = side BC ....because opposite side of parallelogram are equal.
So , the triangle BAD is congruent to triangle BCD ,
So , the triangle pair 2 is congruent .
Therefore , the correct option is (b) Triangle Pair 2 .
The given question is incomplete , the complete question is
Similar Triangles Sorting Activity , Which triangle pair shows similar triangles ?
(a) Triangle Pair 1
(b) Triangle Pair 2
(c) Triangle Pair 3
(d) Triangle Pair 4
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Answer the statistical measures and create a box and whiskers plot for the following set of data.
1, 3, 3, 5, 6, 6, 6, 7, 7, 10, 10, 11, 14
1,3,3,5,6,6,6,7,7,10,10,11,14
For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.
What is box and whiskers plot?Box and whiskers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.
The minimum and the maximum values in the box plot is plotted at the end points.
The following set of data which i s given in the problem.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
Min: 3
The minimum value in the given data is 3. Thus, the min is 3.
Q1:6
First quartile appears at 6. Thus, the value of Q1 is 6.
Med:12
The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.
Q3:14.5
Second quartile appears at 14.5. Thus, the value of second quartile Q2 is 6.
Max: 17
The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.
Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.
The complete question is : Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
3,4,5,6,6,7,7,12,13,14,14,15,15,16,17
Min:
Q1:
Med:
Q3:
Max:
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Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest, compounded monthly. How much interest did she gain in 4 years?
Using the formula of compound interest, the amount accumulated over 4 years is $15,849.46
Compound InterestCompound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period. In Mathematics, compound interest is usually denoted by C.I.
The formula is often given as;
C.I = P(1 + r/n)^nt
C.I = Compound InterestP = principal r = raten = number of times compoundedt = timeSubstituting the values into the formula
C.I = 200(1 + 0.0105/12)^12*4
However, over the period of 4 years, the Principal becomes
Principal = 200 * 4 * 12 = 9600
Rate = 1.05 * 12 = 12.6
C.I = 9600(1 + 12.6/12)^12 * 4
C.I = $15,849.46
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The slope of a line is the rate of change in the y-coordinates (rise) to the corresponding change in the x-coordinates (run) for points on the line.
True false question.
True
False
Answer: True
Step-by-step explanation:
The slope is the rate of change, to find it, you can get rise/run or use the equation y2 - y1 / x2 - x1
So it is true!
Find (2) (-3)
Help, help , help , help
Answer:
-6
Step-by-step explanation:
-6
What is the product of 9 and 8√90 in simplest radical form?
Simplest Radical Form of the given question is [tex]216\sqrt{10}[/tex].
What is a Radical?An phrase that has a root, typically a square or cube root, is referred to as a radical.
The radical consists of three separate parts:
Radicand :This is the one whose root you are discovering.
A radical equation is one that contains the square root, or at least one other variable expression, inside a radical.
Degree: It expresses the degree of radicand multiplication. If a number appears on the root symbol but is absent, it is taken to be 2. (square root).
Symbol: Usually √
Calculation:Given
[tex]9,8\sqrt{90}\\ 9*8\sqrt{90}=9*8\sqrt{9*10}=9*8*3\sqrt{10} \\=216\sqrt{10}[/tex]
Simplest Radical Form of the given question is [tex]216\sqrt{10}[/tex].
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the environmental protection agency (epa) rates the mean highway gas mileage of the 2013 ford edge to be 27 miles per gallon. assume the standard deviation is 3 miles per gallon. a rental car company buys 60 of these cars. what is the probability that the average mileage of the fleet is less than 26 miles per gallon?
the environmental protection agency (epa) rates the mean highway gas mileage of the 2013 ford edge to be 27 miles per gallon. assume the standard deviation is 3 miles per gallon. a rental car company buys 60 of these cars, 0.2979 is the probability that the average mileage of the fleet is less than 26 miles per gallon.
What is probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A probability value between 0 and 1 represents an occurrence.
The four primary categories of probability are axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you might argue that it is the likelihood that a specific event will occur.
Given that,
μ = 27
σ = 3
n = 60
As we know,
= p ( 26 < x(avg.) < 26.8 )
= p (26 - 27 / 0.3873 ) < ( x(avg.) - μ(avg.)x /σx(avg.) ) < (26.8- 27/0.3873)
= p ( -1/ 0.3873 < z < -0.2 / 0.3873 )
= p ( -2.5820 < z < -0.5164 )
= p ( z < -0.5164) - p ( z < -2.5820 )
Using z table, we get -
= 0.3028- 0.0049
= 0.2979
Thus, probability = 0.2979
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Marisa buys a car for $20,000. The car depreciates at a rate of 12% per
year. Which equation shows the value of Marisa's car over a period of x
years?
[tex]A = 20,000 (1-0.12)^x[/tex] this equation shows the value of Marisa's car over a period of x years. Using the concept of depreciation we get this -
What is depreciation?Depreciation is an accounting technique for spreading out the expense of a tangible item over the course of its useful life. Depreciation is a measure of how much an asset has been utilized for. It enables businesses to purchase assets over a predetermined length of time and generate income from those assets.
Given that,
Marisa buys a car for $20,000 = P
depreciates at a rate of 12% per year = r
and t is the for the time period.
As we know,
[tex]A = P (1-r)^t[/tex]
Where, A is the value of object after x period of time.
The value of Terrence's car after x years is:
[tex]A = 20,000 (1-0.12)^x[/tex]
Hence, the value of Marisa's car after x years is: [tex]A = 20,000 (1-0.12)^x[/tex]
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Answer:f(x)=20,000(.12)^x
Step-by-step explanation:
took test
an area of 10 square inches. Estimate the value to five decimal places.
Answer: sqrt 10
Step-by-step explanation:
3.16227...
A C Which are the solutions of x² + 81 = 0 ? B x = +40i D X = +80i X = +9i X = +9 A
Solution for the equation x² + 81 = 0 is x = ± 9i.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
x² + 81 = 0
To find the solution of the given equation,
Simplify the equation,
x² = -81
x = √-81
x = ±9√-1
Since, i = √-1
x = ± 9i
The solution for the given equation is x = ± 9i.
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