The predetermined overhead rate per direct labor hour is $12.00
The amount of applied overhead if 18,500 actual hours are worked in the upcoming year is $222,000
What are overheads?
Overheads are expenses or costs incurred by Wheeler’s Bike Company in the manufacturing process which cannot be traced to the finished goods, which are factory machinery depreciation, factory supplies, factory supervisor salaries and factory property tax
Total factory overheads= factory machinery depreciation +factory supplies+ factory supervisor salaries+ factory property tax
Total factory overheads=$55,000+$140,000+$7,500+$37,500
Total factory overheads=$240,000
predetermined overhead rate per direct labor hour=total factory overheads/total labor hours
total labor hours=Factory direct labor/direct labor rate
total labor hours=$300,000/$15=20,000 hours
predetermined overhead rate per direct labor hour=$240,000/20,000
predetermined overhead rate per direct labor hour=$12.00
amount of applied overhead for 18,500 actual hours=18,500*$12
amount of applied overhead for 18,500 actual hours=$222,000
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Which expression is equivalent to √216x²7?
O 6x³
O 6x⁹
O 72x³
O 72x⁹
Answer:
The answer to this question is 72x3
Evaluate the expression if a = -1 b = 4, and c = 6.
-10c + 3a + a
By evaluating this equation we get , -64.
-10c + 3a + a = -10(6) + 3(-1) + (-1)
=- 60 + (-3) + (-1)
= - 60 -3 -1
= -64
Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression). Let's use the equation 5x + 7 as an example. Thus, 5x + 7 is an illustration of an algebraic expression.
To evaluate an algebraic expression, you must substitute a number for each variable and perform the arithmetic operations.. Since 6 + 6 equals 12, the variable x in the example above is equal to 6.
Hence, the algebraic expression can be expanded and solved as -64.
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ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST prove that this graph is arithmetic
The point after the first one is (2,5). The point after the third one is (4,11) The fifth point is (5,14). The last point is (6,17)
7 ( x – 4 ) – 3 = 46
Answer:
11Step-by-step explanation:
7( x – 4) –3 = 467( x– 4 ) = 46 + 3x – 4 = 49/7x – 4 = 7x = 7 + 4x = 11Answer:
X = 11
Step-by-step explanation:
7( x – 4) –3 = 46
7( x– 4 ) = 46 + 3
x – 4 = 49/7
x – 4 = 7
x = 7 + 4
x = 11
Hope This Help :)
The area of a rectangular parking lot is
7031m?
If the with of the parking lot is 79m,
what is its length?
Answer:
89m
Step-by-step explanation:
Denote:- L = Length, W = Width
Area of a rectangular = L × W
7031m = L × 79m
7031/79m = L
89 = L
Answer:
length = 89
Step-by-step explanation:
Let A represent area
L represent length and
W represent width
A = L.B
7031 = L . 79
7031 = L
79
L = 89
7 1/2 divided by 1 9/10 in simplest form.
Answer:
3 18/19
Step-by-step explanation:
1. Change to improper fractions.
(You do this by multiplying the denominator and the whole number, then add the numerator.)
7 1/2 ⇒ 15/2
1 9/10 ⇒ 19/10
So now its: 15/2 ÷ 19/10
2. Keep, change, flip
Keep the first number (15/2), change the division to multiplication, flip the other fraction (From 19/10 to 10/19).
3. Multiply
15/2 × 10/19 = 150/38
Simplified, the answer is 3 18/19
what is the equivalent fraction of 13%
MULTIPLE CHOICE QUESTION
Danielle wants to purchase some new clothes. She has
$75 to spend. She buys a jacket for $39 and 3 t-
shirts. Each t-shirt costs the same amount.
Determine the price of one t-shirt.
$20
$10
$12
$25
$18
Answer:$12
Step-by-step explanation: 75 -39 and we get $36 remaining. Then we do 36/3 t-shirts which gives us $12 per shirt
75-39=36
36/3=$12 per shirt
Answer:
$12
Step-by-step explanation:
$75-$39 which = 36
36 divided by 3 which =12
each t-shirt is $12
Select all the pairs of equivalent expressions
Answer: 1, 2, 4
Step-by-step explanation:
Step-by-step explanation:
Remember your exponent rules.
[tex] {a}^{ - m} = \frac{1}{a} [/tex]
And
[tex] {(\frac{a}{b} )}^{ - m} = {(\frac{b}{a} )}^{ m}[/tex]
So the first one would be
[tex] \frac{1}{ {4}^{3} } \times 4 = \frac{1}{16} [/tex]
One of the planet Saturn's rings has a diameter of approximately 2.5 × 105
kilometers. What is the diameter of the ring, in kilometers, written in standard
notation?
A.
2,500
B.
25,000
C. 250,000
D. 2,500,000
The diameter in standard notation is 250,000 km, so the correct option is C.
How to get the diameter in standard notation?we know that the diameter in scientific notation is:
D = 2.5*10^5 km
Now we want to rewrite this in standard notation, to do so you just need to solve the product, we can rewrite:
10^5 = 10*10*10*10*10 = 100,000
Then we can rewrite the diameter as:
D = 2.5*10^5 km = 2.5*100,000 km
D = 250,000 km
The diameter in standard notation is 250,000 km, so the correct option is C.
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f(x)=-5x^2-8x+6 find y coordinates of 8
Step-by-step explanation:
Given that
The function of x is f(x)=-5x²-8x+6To find
y coordinates at 8 of this given function.So, according to the question
we have,
f(x)=-5x²-8x+6For finding the y coordinate, we have find f(8) from equation,
So now put 8 from x, or in other word x = 8,
So, we will get
f(x) = -5x²-8x+6
f(8) = -5(8)²-8(8)+6
= -5× 64- 8×8 +6
= -320 -64 +6
= -384 + 6
= 378
Answer:
y coordinate at x = 8 is 378 of this given function.To learn more about function, please click on the link:
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there are 538 jelly beans in a bowl hector and Michael decided to share the jelly beans how many jelly beans do Michael and hector get? Their mom tells them they can not eat all the jelly beans at once. They can each eat an equal amount of jelly beans for four days. How many jelly beans do hector and Michael eat each day for four days
Answer:
67.25
Step-by-step explanation:
Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25
You draw one card from a 52 card deck. Then the card is replaced in the deck and the deck is shuffled, and your draw again. Find the probability of drawing a five each time.
Answer:
1/169Step-by-step explanation:
There are 4 five's in the deck.
Probability of drawing a five is:
P (5) = 4/52 = 1/13Since the card is replaced, it has same probability the second time.
So the probability of drawing a five twice is:
P(5, 5) = 1/13*1/13 = 1/169SIMPLIFY THE EXPRESSION - 4 1/6 - (- 6 1/3)
Triangle ABC lies on the coordinate plane with vertices located at A(7,6), B(-3,5), and C(-4,9).
The triangle is transformed using the rule (x,y) -> (2x,y-3) to create triangle A'B'C'. Select all possible answers for the vertices of triangle A'B'C'.
Question 1 options:
(14,3)
(9,3)
(-6,10)
(-8,6)
(-6,2)
The possible answers for the vertices of triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6). (Correct answers: A, E, D)
How to find the coordinates of the image of a triangle
In this problem we find the locations of the three vertices of a triangle, which is modified by a non-rigid transformation rule, that is, a transformation that does not conserve the original form of the triangle. If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the vertices of the image of the triangle are, respectively:
A'(x, y) = (2 · 7, 6 - 3)
A'(x, y) = (14, 3)
B'(x, y) = (2 · (- 3), 5 - 3)
B'(x, y) = (- 6, 2)
C'(x, y) = (2 · (- 4), 9 - 3)
C'(x, y) = (- 8, 6)
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9. If there are 5 points on a paper such that no three points are on a straight line, then how many
lines can be drawn through them?
a. 4
cb-s
C. 8
d. 10
The number of lines drawn through the 3 collinear points is 10, so the correct option is option d) 10.
It is said that there are 5 points such that no three points out of them are lying in a straight line. This refers to the points being collinear.
Collinear points are associated with three or more different points that do lie on the same straight line and thus, non-collinear points will be defined as points that do not lie on the same straight line.
This means that the points that are non-collinear cannot be connected together via a single line as they are not lying in the same line.
For non-collinearity, not more than two points should be lying in the same straight line.
This is what is given in the question which says that no 3 points can lie on the same line joined through a straight line.
However it is not necessary that the points that are non-collinear will also not lie on the same plane, that is, exhibit the coplanar property.
So hence, non-collinear points are independent of the coplanarity property which means that points that cannot lie on the same line can lie on the same plane.
This is the case given here as it is said that the 5 points that are non-collinear in nature, however, do lie on the same plane which is a single paper. They are coplanar as they lie on the same plane of the paper.
A solution is required to be derived where the 5 points need to be connected so that the above conditions are to be satisfied.
The points must be placed in such a way that no 3 points are collinear but they all must lie on the same plane.
This means that 1 or 2 points are allowed to lie on the same line. Thus, if a figure can be drawn out of these conditions it will form a star-shaped figure enclosed inside a pentagon. (Figure attached at the end)
The number of lines that can be drawn through them satisfying the condition is to be found out. So all the possible pairs are connected via straight lines drawn.
As it can be seen in the figure below if there are 5 points A, B, C, D, and E such that no three points lie on the same line there are 10 lines that are possible that can be drawn connecting them.
The pairs are however considered distinctly which means that either of the lines AB or BA must be taken for example. Both are not to be taken as they represent the same straight-line pair.
So the number of possible connections in the setup given below (from the figure) is 10 namely AB, BC, AE, CA, CD, DE, CE, DA, DB, and BE.
Thus, the number of lines that can be drawn through the 5 points such that no 3 points are collinear is 10.
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The shapes below are drawn on the centimetre grid.
Show that the triangle and the rectangle have the same area.
The area of the triangle = the area of the rectangle = 6 cm².
How to Find the Area of a Rectangle and a Triangle?The area of a triangle = 1/2(base)(height)
The area of any rectangle = (length)(width)
Area of the triangle:
Base = 4 cm
Height = 3 cm
Area of the triangle = 1/2(4)(3)
Area of the triangle = 6 cm²
Area of the rectangle:
Length = 3 cm
Width = 2 cm
Area of the rectangle = (3)(2) = 6 cm²
Therefore, the area of the triangle = the area of the rectangle = 6 cm².
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lelah is decorating her bedroom with posters of her four favorite sports teams. she has one poster of each team and wants to put one poster on each of her four walls. In how many ways can lelah arrange the four posters?
Lelah can arrange the four posters in 24 ways.
What is permutation?A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.
Now it is given that,
Number of poster = 4
Number of walls = 4
Since one poster of each team to put one poster on each of her four walls.
So, number of ways = 4!
⇒ number of ways = 4x3x2x1
⇒ number of ways = 24 ways
Thus, Lelah can arrange the four posters in 24 ways.
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If 9 x n/5 = 9 divided by n/5, then what does n equal, explain.
Answer: I think 5
Step-by-step explanation: because think about what would equal 9 so 9x1 equals 9 I thought so I did it for the division 5/5 is 1 so 9/1 is 9 so do multiply 5/5 is 1
then 9x1 is 9 so N=5
hope that helps
Please help me asap
Answer:
To find the inverse interchange the variables and solve for y.
Step-by-step explanation:
f−1(x)=6x−53(1+x)
Tyler Tooling Company uses a job order cost system with overhead applied to products on the basis of machine hours. For the upcoming year, the company estimated its total manufacturing overhead cost at $420,000 and total machine hours at 60,000. During the first month of operations, the company worked on three jobs and recorded the following actual direct materials cost, direct labor cost, and machine hours for each job:
Job 101 Job 102 Job 103 Total
Direct materials used $ 19,200 $ 14,400 $ 9,600 $ 43,200
Direct labor $ 28,800 $ 11,200 $ 9,600 $ 49,600
Machine hours 1,000 hours 4,000 hours 2,000 hours 7,000 hours
Job 101 was completed and sold for $60,000.
Job 102 was completed but not sold.
Job 103 is still in process.
Actual overhead costs recorded during the first month of operations totaled $45,000.
Required:
1. Calculate the predetermined overhead rate.
2. Compute the total manufacturing overhead applied to the Work in Process Inventory account during the first month of operations.
3. Compute the balance in the Work in Process Inventory account at the end of the first month.
4. How much gross profit would the company report during the first month of operations before making an adjustment for over- or underapplied manufacturing overhead?
5-a. Determine the balance in the Manufacturing Overhead account at the end of the first month.
5-b. Is it over- or underapplied?
1. The predetermined overhead rate is $7 per machine hour.
2. The total manufacturing overhead applied to the Work in Process Inventory account during the first month of operations is $49,000.
3. The balance in the Work in Process Inventory account at the end of the first month is $33,200.
4. The gross profit that Tyler Tooling Company reported during the first month of operations before adjusting overapplied overhead is $5,000.
5-a. The balance in the Manufacturing Overhead account at the end of the first month is $4,000.
5-b. The overhead is overapplied.
Data and Calculations:Estimated total manufacturing overhead = $420,000
Estimated total machine hours = 60,000 hours
Predetermined overhead rate = $7 ($420,000/60,000)
Job 101 Job 102 Job 103 Total
Direct materials used $ 19,200 $ 14,400 $ 9,600 $ 43,200
Direct labor $ 28,800 $ 11,200 $ 9,600 $ 49,600
Applied overhead $7,000 $28,000 $14,000 $49,000
Total costs $55,000 $53,600 $33,200 $141,800
Machine hours 1,000 hours 4,000 hours 2,000 hours 7,000 hrs
Status of Jobs Sold Finished WIP
Sales revenue (Job 101) = $60,000
Manufacturing Overhead Account:Actual overhead costs for the first month = $45,000
Applied overhead for the first month = $49,000 ($7 x 7,000)
Overapplied overhead = $4,000 ($49,000 - $45,000)
Gross profit:Sales revenue $60,000
Cost of goods sold 55,000
Gross profit $5,000
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A swimming pool has a volume of 256 yd³.
Use the table of conversion facts to find out how many gallons of water it
would take to completely fill the swimming pool.
Round your answer to two decimal places.
A swimming pool has a volume of 256 yd³.The amount of water in gallons needed to completely fill the pool is 51705.344 gallons.
Given that,
A swimming pool has a volume of 256 yd³.
We have to find The amount of water in gallons needed to completely fill the pool.
What is the conversion factor defined as?
An amount is used as a conversion factor when multiplying or dividing one set of units by another.
The appropriate conversion factor must be applied when converting to an equivalent value.
For instance, 12 inches equals 1 foot when converting between inches and feet.
Regarding the given problem;
The pool has a volume of 256 yd³.
Convert the yd³ volume to gallons.
201.976 gallons are in 1 yd³.
As a result, multiply both sides by 256 to get the total volume, which is 256 yd³.
201.976 yd³ are equal to 256 gallons.
51705.344 gallons are equal to 256 yd³.
Consequently, 51705.344 gallons of water are needed to completely fill the pool.
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Solve the compound inequality, and write the solution in interval notation: 2(3x+1)≤20 and 4(x−1)<2.
Answer: x∈(-∞,3] x∈(-∞,1.5)
Step-by-step explanation:
2(3x+1)≤20
Divide both parts of the equation by 2:
3x+1≤10
3x+1-1≤10-1
3x≤9
Divide both parts of the equation by 3:
x≤3
Thus, x∈(-∞,3]
[tex]\displaystyle\\4(x-1) < 2\\\\Divide\ both\ parts\ of\ the\ equation \ by \ 4:\\\\x-1 < \frac{2}{4} \\\\x-1 < 0.5\\\\x-1+1 < 0.5+1\\\\x < 1.5\\\\Thus,\ x\in(-\infty,1.5)[/tex]
The solution in interval notation, x∈(-∞,3] and x∈(-∞,1.5)
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
An inequality is a mathes that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities is used to describe relationships between quantities or to express constraints or conditions.
WE are given that the inequality as;2(3x+1)≤20
Divide both parts of the equation by 2:
3x+1≤10
3x+1-1≤10-1
3x≤9
Now Divide both parts of the equation by 3:
x≤3
Thus, x∈(-∞,3]
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Two elevators, at different heights, start to descend at the same time but at different rates. Assume the heights are
changing linearly.
Elevator's Height (ft)
Time (sec) Elevator A Elevator B
27
23
21
19
Provide your answer below:
1
3
What was the difference, in feet, of their starting heights? Do not include units in your answer.
After 5 sec will be the same seconds of the elevator.
The two elevators will reach the same floor at the same time if they are both going at a constant speed. If one elevator is going faster than the other, it will reach the bottom first and vice versa.
Given that, elevator A speed = 27-21/3-1=6/2=3
Elevator B speed = 23-19/3-1=4/2=2
suppose x second After will be the Elevator be at the same height
when at 1 second, Elevator A is 27, Elevator B is 23
so Elevator A start at height (27+3), Elevator B start at 23+2
30-3x=25-2x
-3x+2x=25-30
-x=-5
x=5
Hence, after 5 sec will be the same seconds of the elevator.
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to rationalize the denominator of 2sqrt12/3sqrt11, you should multiply the expression by what fraction?
When we want to rationalize the denominator of the number 2✓2/ 3✓11 the numbers that should be used for the multiplication will be 3✓11.
How to illustrate the information?It should be noted that rationalizing the denominator is to ensure that it becomes easy to perform a calculation.
It should be noted that based on the information, we want to rationalize the denominator. This will be 2✓2/ 3✓11 multiplied by 3✓11.
Therefore, the appropriate number is 3✓11.
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Simplify to lowest terms 16x^4/24x^3
Answer:
2x/3
Step-by-step explanation:
[tex] \frac{16 {x}^{4} }{24 {x}^{3} } = \frac{2x}{3} [/tex]
what are 3 ways an object can accelerate
Answer:
Increasing Speed, Decreasing Speed, and changing direction. Or a change in direction.
Step-by-step explanation:
Reginald spent 2 1/3hours doing research at the library for his science project. he spent 3/4of that time writing his notes. how many hours did he spend writing notes?
Reginald spent 7/4 hours if his time in writing notes.
What is meant by the term mixed fraction?A mixed fraction is one that is represented by its quotient and remainder. 2 1/3, for example, is a mixed fraction in which 2 is the quotient and 1 is the remainder. A mixed fraction is thus the product of a whole number or a proper fraction.As, per the given question;
Total time of Reginald doing research in the library is 2 1/3 hours.
2 1/3 is given in the mixed fraction;
Solving this;
= (2×3 + 1)/3
= (6 + 1)/3
= 7/3
Thus, total hours in library is 7/3 hours.
He spent 3/4 of that time in writing notes;
3/4 of 7/3 will be. simply multiply.
= (3/4)(7/3)
= 7/4
Thus, the total time spent 7/4 hours of his library time in writing his notes.
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Lily bought a dinner table set costing $2,700. The sales tax on
dinner tables is 7.5%. How much did she pay altogether, with
tax?
Answer:
answer is 2025,,,,, just multiply 2700 with 75/100
15.
(15x-26)
1
28°
(12x+1)
-(4y-9)°
m
What is x and what is y
The value of x is 3.6 and the value of y is 13.35.
We are given the equations that:
15 x - 26 = 28°
12 x + 1 = (4 y - 9)°
Now,
15 x - 26 = 28°
Add 26 to both the sides:
15 x = 28 + 26
15 x = 54
Divide both sides by 15, we get that:
x = 54 / 15
x = 3.6
Now, we have:
12 x + 1 = (4 y - 9)°
Substitute x = 3.6
12 (3.6) + 1 = 4 y - 9
43.2 + 1 = 4 y - 9
44.2 = 4 y - 9
4 y = 44.2 + 9
4 y = 53.2
y = 53.2 / 4
13.35
Therefore, we get the value of x as 3.6 and the value of y as 13.35.
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Answer:
The value of x is 3.6 and the value of y is 13.35.
Step-by-step explanation:
