Answer:
10
Step-by-step explanation:
How many cubic feet of warehouse space are needed for 350 boxes 11in. by 8in. by 12in?
Answer:
214 cubic feet (rounded to the nearest cubic foot)
Step-by-step explanation:
Step 1 Determine the volume of 1 box
Volume of a box or rectangular prism = dimensions multiplied by each other
Here, the given dimensions are 11 in by 8 in by 12 in
So the volume of one box would be 11 x 8 x 12 = 1056 cubic inches
Step 2 Determine volume of all 350 boxes
Volume of 1 box = 1056
So volume of all 350 boxes = 1056 x 350 = 369600 cubic in
Step 3 Convert cubic in to cubic ft
To convert to cubic feet we divide the amount of cubic inches by 1728 (this is because there are 1728 cubic inches in 1 cubic foot)
369600 / 1728 = 214 cubic feet (to the nearest cubic foot)
214 cubic feet of warehouse space is required for 350 boxes with the dimensions of 11in by 8in by 12in
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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(a)write down the first ten square numbers.
(b)which two square numbers give a sum of 80?
(C)which two square number give a different of 11?
The sum of two numbers is 18 the difference of the two numbers is 6 what are the two numbers
Answer:
12 and 6
Step-by-step explanation:
12 + 6 = 18
12 - 6 = 6
500 is 37% of what number
A 37
B 74
C 185
D 370
Answer:
C i guess
Step-by-step explanation:
Tom, Ulrika and Harriet each have some money.
Harriet has 3 times as much money as Ulrika.
Harriet has £304 more money than Tom.
5
Tom has of the amount of money that Ulrika has.
How much money does Ulrika have?
Hey there! I'm happy to help!
Let's represent Tom's money as T, Ulrika's as U, and Harriet's as H. Let's put the information we have in a system of equations and solve the problem.
H=3U (Harriet has 3x as much as Ulrika)
H=T+304 (Harriet has 304 more than Tom)
T=U (Tom has same amount as Ulrika.)
We see that 3U and T+304 are equal because they both equal H.
3U=T+304
Since T and U are interchangeable because they are equal, we can replace the U with T to solve for T, which is also the answer for U.
3T=T+304
We subtract T from both sides.
2T=304
We divide both sides by 2.
T=152
This also means that U=152.
So, Ulrika has $152.
Have a wonderful day!
What is the image point of (-1, -3) after the transformation D2 0 T-4,-5?
The image of the point after the transformation D₂,₀ T₋₄,₋₅ is (-6, -15)
What is a dilation?Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.
How to determine the image of the point?The coordinates of the point are given as
(-1, -3)
The transformation is given as D2 0 T-4,-5
This transformation, when properly expressed is
D₂,₀ T₋₄,₋₅
This represents
Dilation by a scale factor of 2 across the origin4 units left translation and 4 units down translationAs mentioned above,
D₂,₀ T₋₄,₋₅
Mathematically, we have
(x, y) ⇒ (2x - 4, 2y - 5)
Substitute (-1, -3) in (x, y) ⇒ (2x - 4, 2y - 5)
So, we have
(x, y) ⇒ (2(-1) - 4, 2(-5) - 5)
Evaluate
(x, y) ⇒ (-6, -15)
Hence, the coordinates of the image are (-6, -15)
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And employee works 7 3/4 hours a day What is the average hours per week
Answer:
54.25 hours per week (you round it)
Step-by-step explanation:
7 3/4 is equal to 7.75 and there are 7 days in a week so it you multiply 7.75 × 7 you get 54.25.
Basically: 7.75 x 7 = 54.25
The tens digit in a dividend is less than the divisor. The divisor has one digit. Gracie says the quotient must have a 0 in the tens place. Is Gracie correct? Explain
Gracie's statement is not necessarily correct about the tens digit in a dividend is less than the divisor and the divisor has one digit. Gracie says the quotient must have a 0 in the tens place.
What is dividend?
In mathematics, a dividend is the number that is being divided in a division problem. For example, in the division problem 18 ÷ 3 = 6, 18 is the dividend.
Gracie's statement is not necessarily correct. Let's look at a couple of examples to see why.
Example 1:
Dividend = 25
Divisor = 4
In this case, the tens digit of the dividend (2) is less than the divisor (4). The quotient is 6 with a remainder of 1. There is no 0 in the quotient, so Gracie's statement is incorrect.
Example 2:
Dividend = 35
Divisor = 4
In this case, the tens digit of the dividend (3) is also less than the divisor (4). The quotient is 8 with a remainder of 3. Again, there is no 0 in the quotient, so Gracie's statement is still incorrect.
From these examples, we can see that Gracie's statement is not always true. It is possible for the tens digit of the dividend to be less than the divisor, and for the quotient to not have a 0 in the tens place.
The only time Gracie's statement would be true is if the remainder is 0 after dividing the dividend by the divisor. In that case, the quotient would indeed have a 0 in the tens place. However, this is not always the case.
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Kate has 12 bags of marbles, she wants to know how many blue marbles are in each bag, if there are 180 blue marbles in the 12 bags are many marbles are in each bag?
Show your work
180 divided by 12 = 15
Hope this helps!
Answer:
mark me brainlist
Step-by-step explanation:
A copy machine makes 36 copies per minute. How long does it take to make 117 copies
Answer:
3.25 minutes
Step-by-step explanation:
117 ÷ 36 = 117
Answer:
3.25 min
Step-by-step explanation:
copies. time
36. 1
117. x
36×x= 117×1
x. = 117÷36
x. = 3.25 min
what is the difference between the highest and lowest temperature in the list below;
267°c,-78°c,19°c,38°c,-16°c
CAN SOMEONE HELP WITH THESE QUESTIONS?
Answer:
Graphed line is shown below
Step-by-step explanation:
m = 1/3, (-3, 3)
y - y1 = m (x - x1)
y - 3 = 1/3 (x + 3)
y - 3 = (1/3)x + 1
y = (1/3)x + 4
For the following sample of n=10 scores: 2, 3, 4 , 4, 5, 5, 5, 6, 6, 7
a. Assume that the scores are measurements of a discrete variable and fine the median.
b. Assume that the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution.
The scores are measurements of a discrete variable is 10 and the median is 5. The scores are measurements of a continuous variable is 10 and the median by locating the precise midpoint of the distribution is 5.
To find the median of a set of data, we first need to put the data in order.
2, 3, 4, 4, 5, 5, 5, 6, 6, 7
The median is the middle value when the data is in order. Since there are 10 scores, the middle two scores are the 5th and 6th scores, which are both 5. Therefore, the median is 5.
To find the median of a continuous variable, we also need to put the data in order, but this time we treat the scores as if they are measurements on a continuous scale.
2, 3, 4, 4, 5, 5, 5, 6, 6, 7
Next, we locate the precise midpoint of the distribution. Since there are 10 scores, the midpoint falls between the 5th and 6th scores. The 5th score is 5 and the 6th score is also 5. Therefore, the midpoint is (5+5)/2 = 5.
So, the median is 5 when we treat the scores as measurements on a continuous scale.
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The Washington Monument, in Washington, D.C., is 555 feet 5% inches tall and weighs 90,854 tons. The monument is topped by a square aluminum pyramid. The sides of the pyramid's base measure 5.6 inches, and the pyramid is 8.9 inches tall. Estimate the slope that a face of the pyramid makes with its base. Round to the nearest tenth.
Sides of the pyramid are:
5.6 inches base
Height of the pyramid is:
8.9 inches
Let's recall the formula of the slope:
Slope = Change in y/Change in x
Let x = 8.9 or change in vertical distance
Let y = 2.8 or change in horizontal distance
Slope = 8.9/2.8
Slope = 3.1785
Slope = 3.2 rounding to the next tenth
Which point would be a solution to the system of linear inequalities shown below?
The coordinates in the solution to the systems of inequalities is (12, 1)
Solving the systems of inequalitiesFrom the question, we have the following parameters that can be used in our computation:
y > -4x + 6
y > 1/3x - 7
Next, we plot the graph of the system of the inequalities
See attachment for the graph
From the graph, we have solution to the system to be the shaded region
The coordinates in the solution to the systems of inequalities graphically is (12, 1)
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This venn diagram shows sports played by 10 students let events A = the students plays basketball let event B = the students plays soccer What is P(A|B)
The probability of P(A|B) will be; P(A|B) = 2/5 = 0.4
How to deal with Venn Diagrams?
From the Venn diagram attached, it displays sports played by 10 students.
Let event A = The students play basketball.
Let event B = The student plays soccer.
Then the probability of P(A|B) will be;
P(A|B) = P(A ∩ B)/P(B)
P(A|B) = (2/10)/(5/10)
P(A|B) = 0.40
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1. Select all the letters below that have a line of symmetry?
A. M
B. V
C. L
D. G
E. D
Answer:
A,M,V
Step-by-step explanation:
Enter your answer in the box. Round your final answer to the nearest degree. B 6cm, A 8cm, C
The measure of Angle C is approximately 26°.
A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.
The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.
Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.
In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).
Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),
we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)
Therefore, the measure of angle C is approximately 26°.
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An image of a rhombus is shown.
A rhombus with a base of 21 centimeters and a height of 17.3 centimeters.
What is the area of the rhombus?
363.3 cm2
181.65 cm2
176.6 cm2
38.3 cm2
The Area of the rhombus with base 21 cm and height 17.3 cm is 363.3 cm².
What is area of Rhombus?To calculate the base of the rhombus, we will follow the steps below;
write the formula for calculating the area of a rhombus
area of a rhombus = b × h
where h is the height of the rhombus and b is the base of the rhombus
Given:
Base = 21 cm
Height = 17.3 cm
We know area of Rhombus = base x height
= 21 x 17.3
= 363.3 cm²
So, the area of Rhombus is 363.3 cm².
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Please help solve please
Answer:
The choose D) -12
Step-by-step explanation:
\(3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12\)
I hope I helped you^_^
if point B is the midpoint of points A and C, find the value of x and AC. AB= 5x - 2, BC= 9x -10
9514 1404 393
Answer:
x = 2AC = 16Step-by-step explanation:
The midpoint divides the segment into two equal lengths:
AB = BC
5x -2 = 9x -10
8 = 4x
2 = x
AB = 5(2) -2 = 8
AC = 2AB = 2(8) = 16
Evaluate -x+(-8) for x= 7.1
Answer:
-15.1
Step-by-step explanation:
Answer:
-15.1Step-by-step explanation:
\(-x+(-8) \\\\x = 7.1\)
Substitute 7.1 for x in the given equation
\(-(7.1 )+(-8)\)
Remove parentheses (a)=a
\(=-7.1-8\)
Subtract the numbers: -7.1-8=-15.1
\(-15.1\)
the sum of twice a number and 6 is the same as 3 subtracted from the number itself (im working on translating in algebra)
let the number is x
so by statement
2x + 6 = x - 3
2x - x = -3 - 6
x = -9
so the numbe is -9
Which of the following expressions are equivalent? Justify your reasoning,
А. 4 √x^3
B. 1/ x^-1
C. 10 √x^5 times x^4 times x^2
D. X1/3 times x^1/3 times x^1/3
Answer:
B and D
Step-by-step explanation:
B:
Anything to a negative power means that it is 1/that to the positive power.
E.g. x^-1 = 1/x^1
In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)
1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.
D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).
x^1/3 * x^1/3 * x^1/3 is also equal to just x.
This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:
x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.
Therefore B and D are equivalent because they both equal x.
Hope this helped!
please answer this correctly
Answer:
Step-by-step explanation:
Brazil : 12,500,000 = 5,000,000 + 5,000,000 + 2,500,000
= full cat + full cat + half cat
Jorge bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent. Show your work.
HELP!!
The solution is:
⇒ 6b = 95.94 (equation to determine cost of one box)
cost of one box 'b' = $`15.99
⇒ 12t = 95.94 (equation to determine cost of per tile)
cost of one tile t = $0.7995.
Given :
Jorge bought a crate of floor tiles for $95.94.
The crate had 6 boxes of floor tiles.
Each box contained 20 floor tiles .
To Find :
Write and solve equation to determine the cost per box'b'.
Write and solve a second equation to determine the cost per tile't'
Solution :
Cost of one box = b
There are 6 boxes
So, cost of 6 boxes = $ 6b
Since Jorge bought 1 crate( = 6 boxes) of cost $95.94
⇒ (equation to determine cost of one box)
⇒6b = 95.94
⇒b =15.99
Thus cost of one box = $`15.99
Since 1 box 20 floor tiles
So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles
We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94
Cost of one tile = t
Cost of 120 tiles = $120t
⇒ (equation to determine cost of per tile)
⇒12t = 95.94
⇒t = 0.7995.
Thus cost of one tile t = $0.7995.
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Matching quantities with units match the measurable guantity given by its formula with the appropriate units
The units and their matching quantity given by the formula are:
Speed = distance / time ⇒ meters per secondVolume = (length) (width)(height) ⇒ cubic centimeters Area = (length) (width) ⇒ square meters Perimeter = 2 (length) + 2 (width) ⇒ meters What are the units for some quantities?The units for speed are expressed as distance per time. For example, meters per second and kilometers per hour.
Volume is shown in cubic units while area is shown in square units. This is why an example of volume is cubic centimeters and area would be square meters.
Perimeter is just a sum of units so it will be shown without any powers.
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Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. The system of equations models the total costs for each.
y = 7.5x
y = 5.5x + 10
1. Substitute: 7.5x = 5.5x + 10
Which inequality represents the graph below?
Answer:
y=-2/3x+3
Step-by-step explanation:
because -2/3 is the slope, y int 3