If overhead is applied to individual jobs at a rate of 50% of direct labor costs incurred per job, and $50,000 in direct materials were used and $25,000 of direct labor was required, what was the total cost of the job?
a) $25,000
b) $50,000
c) $12,500
d) $87,500
The total cost of the Job in the question is; D: $87,500
How to find the total Cost?
We are given that;
Direct Labor = $25000
Cost of direct materials used = $50000
Overhead is 50% of direct labor costs. Thus;
Overhead Cost = 50% * $25000 = $12500
Total Cost of Job = Overhead Cost + Materials Cost + Labor Cost
Total Cost of Job = $87,500
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PLEASE HELP 20 POINTS Graph < 2.
Answer:
Its bottom left
Step-by-step explanation:
Answer:
The top left option
Step-by-step explanation:
This doesn't have a y-value so it will be the point on the x axis.
An easy way to figure questions like this is to use a graphing calculator.
Hope that helps and have a great day!
I need help on this too please I'm literally struggling
Explanation of how we can make (a) subject
Answer:
Step-by-step explanation:
pls help if you can asap!!!!
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
Two circles are shown in the diagram.
Circles C 1 and C 2 are shown. The diameter of circle 1 is 1. The diameter of circle 2 is 2 r.
Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = π, and d2 = 2r into the proportion.
StartFraction C 1 Over d 1 EndFraction = StartFraction C 2 Over d 2 EndFraction
Which shows how to correctly solve for C2, the circumference of any circle with radius r?
Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = 2 r pi
Because StartFraction 1 Over pi EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = StartFraction 2 r Over pi EndFraction
Because StartFraction pi Over 2 r EndFraction = StartFraction C 2 Over 1 EndFraction , C 2 = StartFraction pi Over 2 r EndFraction
Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 4 r EndFraction , C 2 = 4 r pi
The correct equation is (a) because π/1 = C2/r2, \(C_2= 2\pi r\)
How to determine the correct equation?The complete question is added as an attachment
The given parameters are:
d1 = 1
d2 = 2r
The circumferences of the circles are calculated as:
C = πd
This gives
C1 = π * 1 = π
C2 = π * 2r = 2πr
So, we have:
C1 = π
C2 = 2πr
and
d1 = 1
d2 = 2r
Divide both equations
\(\frac{C_2}{d_1} = \frac{C_2}{d_2}\)
\(\frac{\pi}{1} = \frac{2\pi r}{2r}\)
This gives
\(\frac{\pi}{1} = \frac{C_2}{2r}\)
Hence, the correct equation is (a) because π/1 = C2/r2, \(C_2= 2\pi r\)
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Answer:
Its A
Step-by-step explanation:
A) 3/2=x/4
B) 2/3=x/4
C) 2/3=4/x
D) x/3=2/4
Answer:
B) 2/3=x/4
Step-by-step explanation:
Since the figures are similar, we can use ratios to solve
2 x
----- = -----------
3 4
Answer:
a)x=(3*4)/2 x=12/2 x=6
if f(x)=3x-1, find f(f(x) and f(f(f(x)))
Answer:
i hope this helps
Step-by-step explanation:
you just need to change the x to fx
Simplify.
410 x 45 ÷ 49 = 4[?]
Hello !!
kᵃ x kᵇ = kᵃ⁺ᵇ
kᵃ ÷ kᵇ = kᵃ⁻ᵇ
4¹⁰ x 4⁵ ÷ 4⁹
= 4¹⁰⁺⁵ ÷ 4⁹
= 4¹⁵ ÷ 4⁹
= 4¹⁵⁻⁹
= 4⁶
If two variables, a and b, are proportional, which of the following expressions must be
constant?
Answer:
I think it would be a-b but it could also be a/b
Step-by-step explanation:
If z = f(x, y), where f is differentiable, and the following applies, find dz/dt when t = 4. x = g(t) y = h(t) g(4) = 3 h(4) = 5 g' (4) = 3 h' (4) = -8 fx(3, 5) = -2 fy(3, 5) = -2
If z = f(x, y), where f is differentiable, and the following applies, dz/dt when t = 4 is 10.
To find dz/dt, we can use the chain rule of differentiation. The chain rule states that if z = f(x, y) and x = g(t), y = h(t), then dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt).
x = g(t), y = h(t), g(4) = 3, h(4) = 5
g'(4) = 3, h'(4) = -8
f_x(3, 5) = -2, f_y(3, 5) = -2
t = 4
We can substitute these values into the chain rule formula:
dz/dt = f_x(3, 5) * g'(4) + f_y(3, 5) * h'(4)
Substituting the given values:
dz/dt = (-2) * (3) + (-2) * (-8)
dz/dt = -6 + 16
dz/dt = 10
Therefore, when t = 4, dz/dt = 10.
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Lee wants to make at least $400 profit from selling t-shirts. The initial start up costs for making t-shirts is $125. Write an inequality that represents the amount of sales, s, that Lee must have to reach the goal.
The inequality that represents the amount of sales, \(s$,\) that Lee must have to reach the goal is:
\($$s \geq \frac{525}{p}$$\)
What is profit ?In business and finance, profit refers to the monetary gain earned by a business or individual after subtracting the expenses from the total revenue. In other words, profit is the difference between the amount of money earned from selling goods or services and the total cost of producing or delivering those goods or services. Profit is often used as a key performance indicator (KPI) to measure the financial success of a business or individual.
According to given information ?Let's assume that the cost of making one t-shirt is c and Lee sells each t-shirt for p.
To make at least $400 profit, Lee's revenue from sales p must be greater than or equal to the sum of the startup costs $125 and the desired profit $400:
\($$p\times s \geq 125+400$$\)
We can simplify this inequality to:
\($$p\times s \geq 525$$\)
Therefore, the inequality that represents the amount of sales, \(s$,\) that Lee must have to reach the goal is:
\($$s \geq \frac{525}{p}$$\)
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need HELP PLEASE
Question 1: Abhasra and Jimmy each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Abhasra spent $20 on 4 daylilies and 4 bunches of ornamental grass. Jimmy spent $25 on 3 daylilies and 8 bunches of ornamental grass. Find the cost of one daylily and the cost of one bunch of ornamental grass.
Question 2: Rob and Ndiba are selling pies for a school fundraiser. Customers can buy cherry pies and blackberry pies. Rob sold 1 cherry pie and 4 blackberry pies for a total of $60. Ndiba sold 4 cherry pies and 1 blackberry pie for a total of $30. What is the cost each of one cherry pie and one blackberry pie?
1. The cost of one daylily is $3 and the cost of one bunch of ornamental grass is $2.
2. The cost of one cherry pie is $4 and one blackberry pie is $14.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Daylily cost=x
grass cost=y
4x+4y=20...(1)
3x+8y=25...(2)
Multiply 3 on equation 1 and multiply with 4 on equation 2
12x+12y=60
12x+32y=100
Subtract both the equations.
12x+12y-12x-32y=60-100
-20y=-40
Divide both sides by 20
y=2
Now plug in y value in any of the equation.
4x+4(2)=20
4x+8=20
4x=12
Divide both sides by 4
x=3
Hence, the cost of one daylily is $3 and the cost of one bunch of ornamental grass is $2.
2. Rob sold 1 cherry pie and 4 blackberry pies for a total of $60.
Ndiba sold 4 cherry pies and 1 blackberry pie for a total of $30.
x+4y=60..(1)
4x+y=30..(2)
x=60-4y
4(60-4y)+y=30
240-16y+y=30
240-15y=30
240-30=15y
210=15y
Divide both sides by 15
y=210/15=14
x=60-4(14)
x=4
4+4y=60
4y=56
y=56/4=14
Hence, the cost of one cherry pie is $4 and one blackberry pie is $14.
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If a car travels 400 km in 2 hours, how fast is it going? pleasee i need the answer asap
Answer:
124m/s
Step-by-step explanation:
One week a business sold 40 shirts. White ones cost $4.95, and the printed ones cost 7.95. In al $282 worth of shirts were sold. How many of each were sold?
Answer:
12 white 28 printed
Step-by-step explanation:
x = white y = printed
x + y = 40————(1)
4.95x + 7.95y = 282————(2)
Solve for x using 1st equation
x = 40 - y Plug in for x using 2nd equation
4.95(40 - y) + 7.95y = 282 Solve for y
198 - 4.95y + 7.95y = 282
3y = 84
y = 28 Plug in for y using 1st equation
x + (28) = 40 Solve for x
x = 12
I hope this helped and please mark me as brainliest!
Answer:
12 white shirts and 28 printed shirts
Step-by-step explanation:
1. 4.95x + 7.95y = 282
x + y = 40
2. Guess and Check
12 + 28 = 40
4.95 (12) + 7.95 (28) = 59.4 + 222.6
59.4 + 222.6 = 280
3. Answer: 12 white shirts and 28 printed shirts
You can do elimination or substitution, but in this case, I feel like it would've been too complicated.
Is the expression 5 + 3x 2always equal to the expression 4x? Explain your answer.
The displacement (in meters) of a particle moving in a straight line is given by s = 6t^3+1t+4 , where t is measured in seconds. find the velocity of the particle at the given times. velocity at time t = a, t = 1, t = 2, and t = 3.
The velocity of the particle at time t = a, t = 1, t = 2, and t = 3 is (6a^3 + a + 4)/a, 11 m/s, 27 m/s, and 56 1/3 m/s, respectively.
Velocity is defined as the speed of an object with the direction it is moving. It is also describe as the rate of change in position from a reference with respect to a particular time.
V = displacement/time
If the displacement is given by s = 6t^3 + 1t + 4, where t is measured in seconds, then using the formula for velocity, substitute the values of t to find the velocity at each time.
V = displacement/time
V = s/t
V = (6t^3 + 1t + 4)/t
at time t = a,
V = (6a^3 + 1a + 4)/a
V = (6a^3 + a + 4)/a m/s
at time t = 1,
V = (6t^3 + 1t + 4)/t
V = [6(1)^3 + 1(1)+ 4]/(1)
V = 11 m/s
at time t = 2,
V = (6t^3 + 1t + 4)/t
V = [6(2)^3 + 1(2) + 4]/(2)
V = 27 m/s
at time t = 3,
V = (6t^3 + 1t + 4)/t
V = [6(3)^3 + 1(3) + 4]/(3)
V = 56 1/3 m/s
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For the reaction depicted in the molecular scenes, X is red and Y is green. Write a balanced equation for the reaction, including the state for each component.
The balanced equation, including the state for each component, is: X₂(g) + 2Y₂(g) → 2XY₂(g).
To write a balanced equation for the reaction, we need to identify the reactants and products based on the molecular scenes. I will assume you have already identified X as red and Y as green in the molecular scenes.
Step 1: Identify the reactants and products
Assuming there are molecules composed of X and Y atoms, identify the initial molecules (reactants) and the final molecules (products) in the scene.
Step 2: Write the unbalanced equation
Write the reactants on the left side and the products on the right side of the equation. Include the state for each component (solid, liquid, gas, or aqueous) using abbreviations (s), (l), (g), or (aq) respectively.
Example: X₂(g) + Y₂(g) → XY(g)
Step 3: Balance the equation
Adjust the coefficients (numbers in front of each component) to make sure the number of atoms of each element is equal on both sides of the equation.
Example: X₂(g) + 2Y₂(g) → 2XY₂(g)
The balanced equation, including the state for each component, is:
X₂(g) + 2Y₂(g) → 2XY₂(g)
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Find the mean of the following data set: 8, 5, 7, 10, 15, 21
A) 8
B
66
6
D
11
The sum of 3x^2 + x + 8 and x^2 - 9 can be expressed as ?
Answer:
4x^2 + x - 1
Step-by-step explanation:
3x^2 + x + 8 + x^2 - 9 = 4x^2 + x - 1
What is the most common error when entering a formula is to reference the wrong cell in the formula?
The most common error when entering a formula is to reference the wrong cell in the formula.
This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.
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how many pattern block triangles does it take to make 5 hexagons
To make 5 hexagons using pattern block triangles, you would need a total of 30 pattern block triangles. Each hexagon requires 6 triangles, so multiplying the number of hexagons by 6 gives us the total number of triangles needed.
A pattern block triangle is a geometric shape that can be used to form larger shapes when combined. In this case, we are trying to make hexagons using these triangles. A hexagon has six sides, so it requires six triangles to form one hexagon. To find out how many triangles are needed to make 5 hexagons, we multiply the number of hexagons (5) by the number of triangles needed for each hexagon (6). Therefore, 5 multiplied by 6 equals 30, which means you would need a total of 30 pattern block triangles to make 5 hexagons.
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Please help me on this I will mark brainliest and 30 lts IF its correct
Answer:i will help! what do you ned help with?
Step-by-step explanation:
Amari is handing out flyers for a dance. He gives 5 flyers to each volunteer to hang in the school. Then he gives x more flyers to each volunteer. There are 4 volunteers, and a total of 44 flyers. Amari does not hang any flyers himself. How many flyers does Amari give to each person the second time?
I do not know this answer
Answer:
1. 5 per 1 person
2. x per person
4 people
44 flyers
x=6
Step-by-step explanation:
If Amari gives 5 per person and there are 4 people the first you would multiply 5*4=20. If there are 44 flyers total and you have how many flyers Amari gave out first, then subtract the number of flyers she gave out first by how many total. This would be formatted as 44-20=24. There are 24 flyers left after Amari gave the people the first amount. Then Amari gave out x amount of flyers to 4 people. Since there are only 24 flyers left to distribute, you should divide 22 by 4. This would be 24/4=6, x=6. Amari gave 6 flyers to each person the second time.
what is the formula?
Answer:
74.2°
Step-by-step explanation:
Given:
m<A = 60°
a = 18 cm
b = 20 cm
Required:
m<ABC = B
Solution:
Apply the sine rule
\( \frac{sin(B)}{b} = \frac{sin(A)}{a} \)
Plug in the values
\( \frac{sin(B)}{20} = \frac{sin(60)}{18} \)
Multiply both sides by 20
\( \frac{sin(B)}{20}*20 = \frac{sin(60)}{18}*20 \)
\( sin(B) = \frac{sin(60)*20}{18} \)
\( sin(B) = 0.96225 \)
\( B = sin^{-1}(0.96225) \)
\( B = 74.2 degrees \) (approximated to nearest tenth)
For the equation X equals 5T -3 what does X equal when T equals 12
Answer:x=57
Step-by-step explanation:
determine the equation of each radical function which has been tranformed
The equation of a radical function can be determined by using the transformation rules for x- and y- shifts, stretches/compressions, reflections, and rotations.
The equation of a radical function can be determined by applying various transformation rules. The most common transformations are shifts, stretches/ compressions, reflections, and rotations. For example, a radical function that is shifted left two units would have an equation of y = sqrt(x + 2). This is because the function is shifted two units to the left of the origin, so the equation must include an x + 2 term. Similarly, if the function is reflected in the x-axis, the equation would be y = -sqrt(x). This is because the reflection inverts the sign of the y-coordinate, so the equation must include a negative sign in the radical. For stretches and compressions, the equation must include a coefficient in front of the radical. For example, if the function is stretched horizontally by a factor of 3, then the equation would be y = 3 sqrt(x). This is because the function is stretched by a factor of three, so the equation must include a coefficient of 3 in front of the radical. Finally, for rotations, the equation must include a term for the angle of rotation. For example, if the function is rotated counterclockwise by 45 degrees, then the equation would be y = sqrt(x + y/tan45). This is because the angle of rotation is 45 degrees, so the equation must include a tan45 term.
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Please Help I Don't Understand
In general, they're not similar.
In any triangle with side lengths a, b, and c, we have the aptly-named triangle inequality that says the largest side is no larger than the sum of the smaller sides. In other words, if a and b are both smaller than c, then
a + b ≥ c
Suppose x < 12. Then BC corresponds to either YZ or XY.
• If BC corresponds to YZ, then the triangles are similar if and only if
BC/YZ = AB/XY = AC/XZ
x/2 = 9/3 = 12/4 = 3 ⇒ x = 6
• If BC corresponds to XY, then triangle similarity means
BC/XY = AB/YZ = AC/XZ
x/3 = 9/2 = 12/4
but this fails because 9/2 ≠ 12/4 = 3.
Suppose x > 12. Then BC corresponds to XZ, and
x/4 = 12/3 = 9/2
but this also fails because 12/3 = 4 ≠ 9/2.
(We ignore the case of x = 12 because that would make ∆ABC isosceles, and ∆XYZ certainly is not.)
So ∆ABC and ∆XYZ are similar only if x = 6. Under this condition, similarity would follow from the SSS similarity theorem.
Ross drives 420 miles in 6 hours. If Ross continues to drive at the same rate, how many miles can he drive in 12 hours?
Answer:
He can drive 840 miles
Answer: 840 miles
I hope this helps.
Find the value of x. Round to the nearest tenth.
Answer:
10.8
Step-by-step explanation:
We need to use the cosine:
cos(26deg) * 12 ~= 0.89879404629 * 12 ~= 10.7855285556 ~= 10.8