Information from the records of conundrum company for september was as follows: sales $307,500 selling and administrative expenses 52,500 direct materials used 66,000 direct labor 75,000 variable factory overhead 50,000 factory overhead 51,250 inventories sept. 1 sept 30 direct materials $ 8,000 $10,500 work in process 18,750 21,000 finished goods 17,250 14,250 conundrum company produced 20,000 units. the prime costs per unit (rounded to the nearest cent) for september were
The prime costs per unit (rounded to the nearest cent) for September were $7.05 per unit.
What is the total cost?In economics, total cost is the sum of all costs a company incurs in generating a certain output level.
It is typically expressed as the sum of all fixed costs (for example, the costs of a building lease and heavy machinery) that do not vary with the amount of output produced and all variable costs (the costs of labour & of raw materials).The concept of total cost is used to describe average cost (the total cost divided by the amount of units produced) and marginal cost (the marginal cost of a provided unit of output is the increase in total cost required to produce that unit).Now, as per the question;
Prime cost = (cost of direct material + cost of direct labour)/number of units.
Cost of direct materials used = $66,000
Cost of direct labour = $75,000
Number of units = 20,000
Substituting the values;
= ($66,000 + $75,000) / 20,000 units
= $141,000 / 20,000 units
= $7.05 per unit
Thus, the prime cost per unit in September is found to be $7.05 per unit.
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13 X 3
vrcubdavbytayvtcecgvfgdcvfcevfd6bdcb7dvfb7svfb7gbx7bgbr
Answer:
39
Step-by-step explanation:
1x3=3 9x3=9 so together 39
The following table gives a partial set of values of a polynomial function. x −2 −1 0 1 2 3 g(x) 14 2 0 4 6 −2 Between which two values would a relative minimum most likely occur? (2 points) −2 and 0 0 and 2 −1 and 1 1 and 3
From -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.
Between which two values would a relative minimum most likely occur?Here we have the table:
x: -2, -1, 0, 1, 2, 3g(x): 14, 2, 0, 4, 6, -2You can see that:
g(-1) = 2
g(0) = 0
So the function goes downwards from x = -1 to x = 0.
g(1) = 4
So the function goes upwards between 0 and 4.
Then, from -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.
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The Morris family rented
boat over Labor Day weekend. The boat uses an average of 2 gallons of gas per hour
when it is pulling water skiers and 1 gallon per hour when not pulling water-skiers. The gas for the boat costs $2.25
per gallon How much money is spent on gas per hour when the boat is pulling water-skiers if the Marris family only
water skied for 2 hours?
The total amount spent on gas is $9.
How much is spent on gas?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition.
In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour.
The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour
2 x 3 x $2.25 = $9
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Answer:
Step-by-step explanation:
The total amount spent on gas is $9.How much is spent on gas?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition. In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour. The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour 2 x 3 x $2.25 = $9To learn more about multiplication, please check:
4. Jennifer spent $153.36 at the mall. Sally spent $85.20.
How many
times greater is the amount that Jennifer spent than the amount that
Sally spent?
What is a statement that explains why 13x - 13y = -26 Shares a solution with {10x-3y=29
{-3x+10y=55
A statement that explains the equation 13x - 13y = -26 shares a solution with given system of equations because 13x - 13y equals 55.
What is defined by system of equations?Linear equations (those that graph as straight lines) are easier to solve than non-linear equations, as well as the simplest linear system has two equations and two variables.The equation system is presented below;
10x - 3y = 29 .........equation 1
-3x + 10y = 55 ..........equation 2
As a result of subtracting equation (2) from equation (1), we get;
By subtracting equivalent expressions, (10x - 3y) - (-3x + 10y) = 29 - 55.
13x - 13y = 29 - 55 = -26
Provided that the operation on equations (1) and (2) is the same, the given equation is 13x - 13y = -26.
We can see from the subtraction of equivalent representations that the solution for the
The solution for given equation, 13x - 13y = -26, is like the solution for given equation.
The reason why 13x - 13y = -26 has the same solution as the system of equations is that -3x + 10y is equal to 55, so we can subtract -3x + 10y from the left side of 10x - 3y = 29 and subtract 55 from the right side.
Thus, subtracting equivalent representations from each side of the an equation has no effect on the equation's solution.
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5a + 2b = 40 solve for b
Answer:
5a-40=-2b
5a-40/-2=-2b/-2
-5a/2+20=b
The salary for a groun of executives was listed as follows: 18 at $50,000; 10 at $60,000; 8 at $75,000; 2 at $90,000; and 2 at $10,000. What is the average salary?
Answer:
The average salary is $57,500
Step-by-step explanation:
You would find the total salaries and divide that by 40 because there were 40 people: 18 + 10 +8 + 2 + 2
To find the total salaries"
18(50,000) + 10(60,000) + 8(75000) + 2(90,000) + 2(10000) = 2300000
2300000/40 = 57,500
Solve for x.
z=9(x+2)
Answer:
Step-by-step explanation:
z=9(x+2)
z=9x+18
Subtract 18 from both sides
z-18=9x+18-18
z-18=9x
Divide both sides by 9
z-18/9 =x
Therefore
X= z-18/9
Solve for x.
(2x-2)°
-(x+5)°
Answer: 29°
Step-by-step explanation:
(2x-2)° + (x+5)° + 90° = 180°
(2x-2)° + (x+5)° = 90°
(2x + x)° = 87°
(3x)° = 87°
x° = 29°
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all.
Which equation can you use to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons?
Answer: They charge $28 per lesson the Equation is 35 + 5x = $175
Step-by-step explanation: He rented the snowboard for $35 and then took 5 hours of snowboarding lessons. Then the whole thing cost $175.
Four decimal fractions that are smaller than 0.5
Answer: 0.4<0.5
Step-by-step explanation:
A cell phone provider charges a monthly fee of $20 dollars and also charges customers $0.05 per text message. The function C (t) = 0.05t+ 20 represents the cost C, per month based on t text messages in a month.
Which best describes the domain of the function?
- All real numbers
-All real numbers that are multiples of 0.05.
-all whole numbers
-all whole numbers from 0 to 20
The best description of the domain of the function is (c) all whole numbers
How to determine which best describes the domain of the function?The function is given as
C(t) = 0.05t + 20
The input variable of the above function is t
t represents the number of text messages
The number of text messages cannot be negative
Hence, the best description of the domain of the function is (c) all whole numbers
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f (x) = 2x² - x - 12
Find f(8)
Will give brainliest and 5 star rating. Thank you. :)
Answer:
f(8) = 108
Step-by-step explanation:
Hello!
Substitute 8 for x in the equation.
Evaluatef(x) = 2x² - x - 12f(8) = 2(8)² - (8) - 12f(8) = 2(64) - 8 - 12f(8) = 128 - 8 - 12f(8) = 108f(8) is 108.
You are helping a friend with her flower garden. She decides to add some clematis
vines, rose bushes, and peony plants to her garden. The price of a clematis vine is $3
more than twice a peony plant. The price of a rose bush is $5 more than a clematis
vine. She decides to buy 3 clematis plants, 4 rose bushes and 2 peony plants for a total
of $233.
Write a system of three linear equations in three variables to represent this situation.
The price of a clematis vine, rose bush, and peony plant is given by a set of three linear equations with three variables: 29, 14, 13.
What do mathematical linear equations mean?A linear equation is one that has a degree of 1 as its maximum value .In a linear equation, no variable has an exponent bigger than 1, thus.. A linear equation's graph will always be a straight line.
An algebraic equation known as a linear equation has an exponent of 1 for each term, and when it is graphed, it always yields a straight line.
According to given data;
let c is price of clematis vine
let r is price of rose
P is price of peony plants.
bush
c=2p+3
r=c+5+
=3c + 4r+ 2p = 233
b) putting(1) in 2
a 2p+ 3 + 5 2 p +8 -9 putting(1) and (4)in 3
3(2p+3)+4(2p+8) + 2 p² 233
2
6p+9+8p+16+2p = 233
16p=25=233
16 p= 233-25
16p = 208
p=208÷13
p= 13
putting value of p in (1)and(4)
c= 2 p +3
=2X13+3
C = 29
r= 2p+8
=2×13+8
=34
price of clematis vines =29
rose bush = 34.
peony plants = 13.
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In the figure below, m1= 35° and m/2 = 27°.
Find mTSW.
62°
A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.
When the ends of two rays collide at a single location, an angle is the geometry that results. They are measured in degrees (°) or radians. A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠"
∠1+∠2 = 35° +27°
=62°
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Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?
They are commutative, because f(x) and g(x) are constant functions.
They are commutative, because f(g(x)) and g(f(x) are constant functions.
They are not commutative, because f(x) and g(x) are not equal.
They are not commutative, because f(g(x)) and g(f(x) are not equal.
Answer:
first option
Step-by-step explanation:
They are cumulative because they are constant functions.
Margot draws a shape with one pair of parallel lines that are four centimeters apart. She then flips the shape across a horizontal line.
How many pairs of parallel lines are in the flipped shape?
The flipped shape has a pair of parallel line
What are parallel lines?A pair of line is said to be parallel lines when the lines tend to maintain equal distance apart and never intersect at any point. such lines has peculiar properties and are useful in mathematics.
Since a pair of parallel line do not intersect their is not angle between them.
What happens when a shape is flipped ?Flipping a shape will change the position of the flipped shape to a new one. This activity does not add to the size of a shape or to the property of the shape.
Margot flipping a pair of parallel lines will not add or reduce the number of the parallel lines. It however creates point of intersection between the parallel line and horizontal line crossing the parallel line.
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Use the given equation to determine if the points in the brackets are on the graph
of the line determine by the equation 4x- 3y=-6
{(0,2),(1,3),(4,7),(6,10)}
The points in the brackets are on the graph are (0, 2) and (6, 10)
How to determine if the points in the brackets are on the graph?The equation of the line is given as
4x - 3y = -6
The points are given as:
{(0,2),(1,3),(4,7),(6,10)}
Rewrite as
(x, y) = {(0,2),(1,3),(4,7),(6,10)}
Next, we substitute the x and y values in the equation 4x - 3y = -6
So, we have
(0, 2):
4(0) - 3(2) = -6
-6 = -6 ---- true
(1, 3):
4(1) - 3(3) = -6
-5 = -6 ---- false
(4, 7):
4(4) - 3(7) = -6
-5 = -6 ---- false
(6, 10):
4(6) - 3(10) = -6
-6 = -6 ---- true
Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)
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Can someone explain how to find EF? AKA #3
The length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.
We are given a triangle EFG.
In this triangle, we can see that:
∠ E = ∠ F = 23°
Now, we know that the sides opposite to the equal angles are also equal.
So, the side opposite to angle E is GF
And the side opposite to angle F is EF.
This means that EF will be equal to GF.
EF = GF
Now, we are also given that GF = 18 inches.
So, EF will also be:
EF = 18 inches.
Therefore, we get that, the length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.
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Answer and how to solve this
Answer: Marie ran 4.5 miles on Monday.
Step-by-step explanation: 5.7
+1.2
6.9
Y varies jointly as a and n2 when s=7 and n=4, y=336. find y when s is 12 and n is 7
Y= 1764
It is given that y varies jointly as s and n2
From the given question if s = 7 and n = 4 then y =336
So,
y= k * s * n^2
Let k a constant number
336= k * 7 * 4^2
336 = k *7* 16
336 = k * 112
Therefore, k = 3
So now we get the General equation i.e
y= 3 * s * n^2
Now we have to find the value of y when s= 12 and n= 7
Y=3* 12* 7^2
= 3*12*49
=1764
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If your car gets 34 miles per gallon, how much does it cost to drive 330 miles when gasoline costs $3.40 per gallon?
Answer:
$33.
Step-by-step explanation:
330 miles x (1 gal/34 miles) x ($3.40/gal)= $33.
I hope this helps, have a blessed day! :)
Answer: $33
Step-by-step explanation:
1 gallon=$3.40
Hence,
Make a proportion:
34 milles - $3.40
330 milles - x gallones
Thus,
[tex]\displaystyle\\x=\frac{330*3.40}{34} \\\\x=\frac{33*34}{34}\\\\x=33\ dollars[/tex]
which linear inequality will have a solution of (0,0)
a. y<-2x
b. y<-3x+4
c. y>-2x+6
d. y>-3x
The linear inequality will have a solution of (0,0) is y<-2x and y>-3x.
Option (A) and (D) is correct.
What is inequality?
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.
According to given question we have
a. y<-2x
To put the value of x any y (0,0) we get
=0<-2*0
=0<0
b. y<-3x+4
To put the value of x any y (0,0) we get
=0<-3*0+4
=0<0+4
=0<4
c. y>-2x+6
To put the value of x any y (0,0) we get
=0>-2*0+6
=0>0+6
=0>6
d. y>-3x
To put the value of x any y (0,0) we get
=0>-3*0
=0>0
Therefore, the linear inequality will have a solution of (0,0) is y<-2x and y>-3x.
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which of these objects are malleable check all that apply
Tin fork and knife from a camping set
Antique ceramic vase
Steel pole fence post
Marble sculpture
glass tabletop
Copper coin
The objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.
What is malleable?A material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.
It is given that:
The list of objects is given in the question.
As we know from the definition of malleable; the material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.
Metals have the physical quality of malleability, which makes them easy to crush, hammer, or bend.
Metals that are bendable include copper coins, steel fence posts, and camping forks and knives made of tin.
Thus, the objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.
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Two trains leave stations 240 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 80
miles per hour. How long will it take for the two trains to meet?
Answer: get a verified 340
Step-by-step explanation:
Differentiate the function using chain rule
PLEASEEEEKKEJES HELPPPPPPPPO :)))
Answer:You have it right I think
2.46*10^6
Step-by-step explanation:
Because you move the decimal point over 6 spots which gives you the 10 to the sixth.
ƒ(x) = −4x² + 10x + 13
Find f(7)
Answer:
-113
Step-by-step explanation:
Plug in 7 for x and you get -4(7)² + 10(7) + 13
7² = 49 so -4(49) = -196
10(7) = 70
Add them all up and you get -113 (-196 + 70 + 13 = -113)
In the figure below, m1=3x° and m2 = (x+18)°.
Find the angle measures.
L
2
m 21 =
m2 2 =
Answer: m 21=
I got it right on test!
Step-by-step explanation: