The equation which shows the volume of rectangular box is w² + 5w - 56 = 0.
What is defined as the rectangle?A rectangle is a two-dimensional (2D) shape with opposite sides that are parallel as well as equal to each other and four right angles.
The breadth (width) of a rectangle is the shorter side, and the length is the longer side.
The metal's length is 5 inches longer than its width. However, we fold up 1-inch flaps on every side, resulting in a 1-inch box height and an 2-inch decrease in length and width (1 inches on each side). Because the length and width both decrease in the same amount, the length remains 5 inches longer than that of the width.Then, the equations are as follows:
l = w + 5
The height of the box will be 1 inch which is cut and folded upward.
vol = l x w x h = 56 in³
Substitute the value of l in the equation.
56 = (w + 5)(w)(1)
56 = w² + 5w
w² + 5w - 56 = 0
Therefore, the equation which represent the volume of the rectangular box on 56 in.³ is w² + 5w - 56 = 0.
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Alexandra is creating a video game. Every time the main character jumps in the game, the image follows a translation using the coordinate rule
(
x
,
y
)
→
(
x
+
4
,
y
+
9
)
. If the main character is located at
(
−
5
,
0
)
, what will the new location be after a jump? (
,
)
Using translation concepts, the new location after the jump will be at (9,9).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The translation rule for this problem is:
(x,y) -> (x + 4, y + 9).
Which means that the coordinates move 4 units right and 9 units up.
The initial position is:
(5,0).
Hence the final position is:
(5,0) -> (5 + 4, 0 + 9) = (9,9).
The new location after the jump will be at (9,9).
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Points A, B, C, D, and E are collinear and in
that order. Find AC.if AE = x + 50 and
CE = x + 32.
Points A, B, C, D, and E are collinear and in that order. The value of Ac is 18.
According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC.
Keep in mind that a line segment is a portion of a line that has two distinct end points. There are many points between the two end points that make up the object.
The segment addition postulate can be stated more simply by saying that if point B lies on line segment AC, then AB + BC will equal AC.
by the segment addition postulate,
AC + CE = AE so AC = AE - CE
AC = (x+50) - (x+32)
AC = x+50-x-32
AC = 18
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The length of a rectangle is 5 in longer than its width.
If the perimeter of the rectangle is 58 in, find its length and width.
Answer:
Length = 17 in
Width = 12 in
Step-by-step explanation:
Formula we use,
→ P = 2(L + W)
Then the value of L and W is,
→ P = 2(L + W)
→ 58 = 2(x + 5 + x)
→ 2(2x + 5) = 58
→ 4x = 58 - 10
→ x = 48/4
→ [ x = 12 ]
Then the width will be,
→ W = x = 12 in
Hence, the width is 12 in.
Now the length will be,
→ L = x + 5 = 12 + 5 = 17 in
Therefore, the length is 17 in.
TOOIS
Question 3
A pipe is leaking at a rate of 8 fluid ounces per minute. How many gallons per hour will leak from the pipe?
0.02 gal/hr
A
B
C
D
3.75 gal/hr
17.07 gal/hr
3,840 gal/hr
If a pipe is leaking at a rate of 8 US fluid ounces per minute, then 3.75 US liquid gallons of the fluid will leak from the pipe in an hour.
As per the question statement, a pipe is leaking at a rate of 8 US fluid ounces per minute and we are required to calculate the amount of leak that will occur at the same rate of leakage, in an hour, in the units of US liquid gallons.
To solve this question, we need to know to know about two basic mathematical conversions, i.e.,
1 US Liquid Ounce = 0.00781 US Liquid Gallons, and
1 hour = 60 minutes.
Therefore, amount of leak that will occur at the rate of 8 US fluid ounces per minute, in an hour = [tex](8 * 60)=480[/tex] US fluid ounces.
And 480 US fluid ounces = [tex](0.00781 * 480)=3.75[/tex] US Liquid Gallons.
Hence, 3.75 US Liquid Gallons of fluid will leak from the pipe in an hour.
Fluid Ounce: It is an unit of volume, used for measuring liquids. "The British Imperial" and the "United States customary" fluid ounce are the only two that are still in use. The US Fluid ounce is an unit of capacity equal to one-sixteenth of a US pint (approximately 0.03 liter), while the British Imperial fluid ounce a unit of capacity equal to one twentieth of a pint (approximately 0.028 liter).Liquid Gallons: In the United States, Liquid Gallon is an unit of liquid capacity equal to four quarts or 231 cubic inches or 3.785 liters, while in the Great Britain, also known as the "Imperial Gallon", it is an unit of liquid and dry capacity equal to four quarts or 277.42 cubic inches or 4.544 liters.To learn more about Fluid Ounces and Liquid gallons, click on the klink below.
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Evaluate − 7 w + 2 p for w = − 2 and p = − 6
The simplification of the given expression − 7 w + 2 p is 2.
What is the multiplication rule for negative integers?Negative integers have been real integers less than zero. For instance, 147 and 4 are negative integers, but 0.4181554... and 10 are not; the former is a negative number yet not an integer, whereas the latter is a positive integer.
There are two simple points to remember: When a negative number is multiplied by a positive number, the product has always been negative. When two negative numbers as well as two positive numbers are multiplied, the product has always been positive.The given expression is;
= - 7 w + 2 p
The for the variables is given;
w = − 2 and p = − 6
put the values in the expression;
= -7(-2) + 2(-6)
Th multiplication of 2 negative will be positive while one positive one negative will give negative number only.
Thus,
= 14 - 12
Simply subtract;
= 2
Therefore, the result of the given expression is 2.
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Required information
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[The following information applies to the questions displayed below.]
Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Required:
1. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department?
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
Note: For all the requirements, round per unit values to 2 decimal places.
Show less
1a. Direct material cost per unit
1a. Direct labor cost per unit
1a. Direct manufacturing cost per unit $0.00
1a. Number of units produced and sold
1a. Total direct manufacturing cost $0
1b. Variable manufacturing overhead per unit
1b. Fixed manufacturing overhead per unit
1b. Indirect manufacturing cost per unit $0.00
1b. Number of units produced and sold
1b. Total indirect manufacturing cost $0
1a)The total direct manufacturing cost incurred to make 14,000 units is $162,400.
1b)The total indirect manufacturing cost incurred to make 14,000 units is $99,400.
2a)The total manufacturing cost directly traceable to the Manufacturing Department is $261,800.
2b)The total fixed portion of the sales representatives’ compensation is $14,000.
3a)The total direct selling expense that can be readily traced to individual sales representatives is $32,200.
3b)The total fixed portion of the sales representatives’ compensation is $14,000.
Cost Accounting is a procedure in which raw data are refined and provides information to the management which plays an important role in the decisions to be taken. The product costs and cost of services can be ascertained with the help of cost accounting.
In variable costing only the manufacturing costs which vary with the output are treated as product costs. As such only the variable part of the manufacturing cost like direct materials, direct labor and variable portion of manufacturing overhead is treated as product cost.
The costs which are incurred for the production of a product are product costs. The costs which are the considered and included in the product costs are direct materials, direct labor and manufacturing overhead.
The costs which are expensed when incurred are referred to as period costs. These costs are not capitalized. These costs are not considered as a part of cost of goods sold. It includes selling expenses, advertising expenses, depreciation expense etc.
Those costs which remain constant and do not change with the changes in the level of activity are known as fixed costs. It is also referred to as time-related costs. Examples of fixed expense are: Fixed factory overhead, Fixed selling and administrative expense, Depreciation, Property taxes.
When the manufacturing department is the cost object, then in such a case the cost incurred for manufacturing the product also includes the manufacturing overhead costs. Such costs are to be directly traced to the products. So, the total direct manufacturing cost incurred is computed by multiplying the cost per unit obtained by adding the direct materials, direct labor, variable manufacturing cost per unit and fixed manufacturing cost per unit by the number of units. Therefore, the total direct manufacturing cost incurred to make 14,000 units is $261,800.
When the manufacturing department is the cost object, then the costs incurred in the manufacturing department is to be allocated to the products directly. Such costs are directly traceable to the products. When the cost object is Manufacturing Department then the indirect manufacturing costs does not exist because the costs are traceable to the Manufacturing Department easily. Therefore, the manufacturing costs are not to be considered as indirect costs when the Manufacturing Department is the cost object.
The total fixed selling expense is computed by multiplying the fixed selling expense per unit by the number of units. Then, the amount of advertising expense is deducted from the total fixed selling expense to compute the fixed portion of the sales representatives’ compensation. Therefore, the amount of fixed portion of the sales representatives’ compensation is $14,000.
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How many ways can 6 toppings be put on a pizza?
Answer:
1 because their Is only one way to do it
If √x = 9, then x is between
O 80 and 90
O 4 and 5
O 2 and 3
O 15 and 20
Answer:
80 and 90
Step-by-step explanation:
[tex]\sqrt{x}=9 \implies x=9^2=81 \implies 80<x<90[/tex]
replace the stars with digits. how many solutions does each problem have. ***-**=1
Answer: We have two solutions:
1000-998=2
or
1001 - 999 = 2
An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $170 and the lower-priced speaker dock sells for $90. Last week the store sold three times
as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $3,080. How many lower-priced speaker docks did it sell?
Answer:
21
Step-by-step explanation:
the price of the lower priced docs for that week would be 3x because the store sold 3 times as many low priced than the higher priced.
> so 90(3x) = 270x
170x + 270x = 440x
3080/440 = 7
7 high priced speakers were sold
to find out the cost of the lower ones you'd do
3x7 and get 21
n.
D
5. Simplify an expression for
the perimeter of the square.
5.9x-33
5.9-3.3
EE163
5.9x-3.3
23.6x-13.2=50
CA
I don’t understand how you get 50
The value of the perimeter of square become is 36x - 132.
According to the statement
We have to find that the perimeter of the square.
So, For this purpose, we know that the
The perimeter of the square is defined as the total length of the boundary of a square.
From the given information:
The side of the square is given which is:
9x - 33
Then
We know that the
Perimeter of square = 4a
And substitute the values in it then
here a = 9x-33
Then after put the values Then
Perimeter of square = 4(9x-33)
Perimeter of square = 36x - 132.
The value of the perimeter of square become is 36x - 132.
So, The value of the perimeter of square become is 36x - 132.
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help me! the marching band needs to create rows for its performance. there are 24 instruments and 16 flag bearers. Only one type of performer can be in each row. what is the maximum number of performers in each row so that all the rows are equal in length.
The maximum number of performers in each row so that all the rows are equal in length is 8.
How to calculate the value?From the information, the marching band needs to create rows for its performance. there are 24 instruments and 16 flag bearers.
Therefore, we will find the highest common factor for both numbers. This will be:
24 = 1 2 3 4 ,6 8 12 24
16 = 1 2 4 16
Therefore the highest factor is 8
The maximum number of performers in each row so that all the rows are equal in length is 8.
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8.4 + 0.001 + 75.02 + 34.925 + 3.15 = __________
Answer:
121.496
Step-by-step explanation:
Columnar addition
Graph the line with slope -1 passing through the point (-1, -2).
Step-by-step explanation:
find point (-1,-2)
go down one
go to the right one
repeat
draw line with arrows at each end
done!
Yard Professionals Inc. experienced the following events in Year 1, its first year of operation:
Performed services for $26,500 cash.
Purchased $7,200 of supplies on account.
A physical count on December 31, Year 1, found that there was $1,510 of supplies on hand.
Required
Based on this information alone:
Record the events under an accounting equation.
Prepare an income statement, balance sheet, and statement of cash flows for the Year 1 accounting period.
What is the balance in the Supplies account as of January 1, Year 2?
What is the balance in the Supplies Expense account as of January 1, Year 2?
1. Recording the events under an accounting equation is as follows:
Assets = Liabilities + Equity
Cash + Supplies Common Stock + Revenue - Expenses
1. $26,500 $26,500
2. $7,200 $7,200
3. (5,690) ($5,690)
Balance $26,500 $1,510 $7,200 $26,500 - $5,690
2. The preparation of the income statement, balance sheet, and statement of cash flows for the Year 1 accounting period is as follows:
Yard Professionals
Income StatementFor the Year 1 accounting period
Revenue $26,500
Supplies Expense (5,690)
Net income $20,810
Yard Professionals
Balance SheetYear 1 accounting period
Cash $26,500
Supplies $1,510
Total assets $28,010
Accounts Payable $7,200
Equity: Net income 20,810
Total liabilities + equity $28,010
Yard Professionals
Statement of Cash FlowsFor the Year 1 accounting period
Net income $20,810
Supplies (1,510)
Accounts Payable 7,200
Cash (Operations) $26,500
3. The balance in the Supplies account as of January 1, Year 2 is $1,510.
4. The balance in the Supplies Expenses account as of January 1, Year 2 is $5,690.
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Use the domain {1/2, 1, 2, 4, 8, 16} and plot the points on the graph that would best satisfy the equation y = log2x.
Given equation y = log2x
domain {1/2, 1, 2, 4, 8, 16}.
The graph of six points that would satisfy the equation.
In equation put the value of
x =1/2
y= -1
for x= 1
y=0
for x= 2
y=1
for x= 4
y=2
for x =8
y= 3
for x= 16
y=4
Plot the points {1/2, 1, 2, 4, 8, 16} on a coordinate plane
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5. Please help and snow work
Answer:
-177
Step-by-step explanation:
Plug in the values into the equation.
-q(9)^2-(-6)^2+3(-20)
-81-36-60=-177.
255 divided 50 = ?
Pls help
Answer:
5.1
Step-by-step explanation:
A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muffins, they make $10 profit. The break takes 4 hours to prepare and 1 hour to back. The muffins take 0.5 hours to prepare and 0.5 hours to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. Let x = # of the batches of bread and y = # of batches of muffins. How many batches of bread and muffins should be made to maximize profits?
4 batches of bread and 0 batches of muffins
4 batches of bread and 0 batches of muffins
2 batches of bread and 16 batches of muffins
2 batches of bread and 16 batches of muffins
4 batches of bread and 10 batches of muffins
4 batches of bread and 10 batches of muffins
1 batch of bread and 12 batches of muffins
The batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins
How many batches of bread and muffins should be made to maximize profits?The given parameters can be represented on the following table
Bread (x) Muffins (y)
Prepare 4 1 16
Bake 0.5 0.5 10
Profit 35 10
The parameters from the above table are
Max P = 35x + 10y
Subject to
4x + y <= 16
0.5x + 0.5y <=10
x, y > 0
Solving the above constraints using a graphing calculator, we have the following points
(x, y) = (4, 0) and (0, 16)
Substitute these values in Max P = 35x + 10y
So, we have
P = 35 x 4 + 10 x 0 = 140
P = 35 x 0 + 10 x 16 = 160
160 is greater than 140
Hence, the batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins
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If I add 9 by pi will it be irrational or rational?
Answer: irrational
Step-by-step explanation:
because it still cant be turned into a fraction after adding 9 to pi
Use a calculator to find a decimal approximation for the following trigonometric function sin 28°48
The decimal approximation for the trigonometric function sin 28°48' is
Given the trigonometric function is sin 28°48'
The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.
To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°
sin (28°48') = sin(28° ₊ (48 × 1/60)°)
= sin(28° ₊ (48 /60)°)
= sin(28° ₊ 4°/5)
= sin(28° ₊ 0.8°)
= sin(28.8°)
= 0.481753
Therefore sin (28°48') is 0.481753.
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HELP PLEASE!!!!Write two words that have a ratio of vowels to consonants of 3:2 and two words that have a ratio of the letters e and r of 2:1.
Answer:
ratio: 3 vowels; 2 consonants
media: 3 vowels; 2 consonants
letter: 2 e's; 1 r
electric: 2 e's; 1 r
An amusement park charges $70 for admission before 6 P.M.
and $25 for admission after 6 P.M. On Saturday, the park took in a total of $28,000.
a. Write an equation that represents the number of admissions that may have been
sold. Let x represent the admissions sold before 6 P.M., and let y represent the
admissions sold after 6 P.M.
b. Graph the equation.
c. Find the x- and y-intercepts of the graph. What does each intercept represent? Please help the due date is tomorrow
The x-intercept is 0.4 and the y-intercept is 1.2.
Given that, an amusement park charges $70 for admission before 6 P.M. and $25 for admission after 6 P.M. On Saturday, the park took in a total of $28,000.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let x represent the admissions sold before 6 P.M., and let y represent the admissions sold after 6 P.M.
According to the question, we get the equation as 70x+25y=28,000
The graph of the obtained equation is given below.
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
From the graph, the x-intercept is 0.4 and the y-intercept is 1.2.
Therefore, the x-intercept is 0.4 and the y-intercept is 1.2.
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Cesar is reading a 450 page book. He reads the first 90 pages in 3 days
continues to read at the same rate, how long will it take him to finish t
Solve on scrap paper first if you need to.
It will take Cesar
days to finish the book.
Which value c makes the expression x2 + 2x + c a perfect square trinomial?
The value of the c is 1 which makes the perfect square trinomial.
According to the statement
We have to find that the value of the c.
So, For this purpose, we know that the
An expression obtained from the square of the binomial equation is a perfect square trinomial.
From the given information:
The Given statement is:
x² - 2x + c
is a perfect square of the form
(x - a)² = x² - 2ax + a²
Now,compare with x² - 2x + c, then
- 2a = - 2 ⇒ a = 1,
thus
a² = 1² = 1 = c
(x - 1)² = x² - 2x + 1 ← perfect square trinomial
It means the value of c is 1.
So, The value of the c is 1 which makes the perfect square trinomial.
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Which of the following is equivalent to l x - 1 l < 5
In the above question the |x| represents the absolute value. |x - 1| < 5 is equivalent to -5 < x - 1 < 5.
What do you mean by absolute value?Algebra usually requires us to be careful about not just size of a value but also its sign. -10 is different than the 10. 3+7 yields a different result than the 3+(-7) . But there are circumstances in which sign doesn’t matter, in mathematics and in real life. Have you ever stumbled stepping on or off the moving walkway? It doesn’t really matter if you’re moving faster or slower than ground surface—it’s the magnitude of difference that makes you lose your balance. Or think of taking long hike—your feet will get just as the sore whether you go to north or south. Direction doesn’t matter, only the distance.
In mathematics, there’s a concept for dealing with the situations where size matters more than sign. It’s called the absolute value. Absolute value of a number is it's value regardless of its sign.
Given,
|x - 1| < 5
|x| this represents absolute value. It is the distance of x from 0, so value of x can be both positive and negative.
⇒ |x - 1| < 5 can be (x - 1) < 5 and -(x - 1) < 5
⇒ -(x - 1) < 5
⇒ (x - 1) < -5
So equivalent of |x - 1| < 5 is -5 < x - 1 < 5
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Answer:
Its C
which is –5 < x – 1 < 5
Translate the following verbal expression into an algebraic expression.
Ten times a number plus seven times the same number.
Answer:
10x + 7(10x)
Step-by-step explanation:
X is the unknown number
3. m/U = 3x°, and m/V = 3(m/U). Find the value of x that makes ZU and
ZV supplementary angles.
The value of x that makes ∠U and ∠V to be supplementary angles are; x = 15°
What are supplementary angles?
When we are talking about angle theorem and congruency in mathematics, it is well know that supplementary angles are defined as angles whose sum is equal to 180 degrees.
Now, we are given;
∠U = 3x°
∠V = 3(∠U)
Thus;
∠V = 3(3x°) = 9x°
From definition of supplementary angles, we can say that;
3x° + 9x° = 180°
12x = 180°
x = 180/12
x = 15°
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Which operation should you calculate first? 18÷3−7+2×5
Answer:
9 will be the answer.....
Simplify the expression using order of operations. 14+18÷2×4−7
Answer:
Hi
Your answer is 43.
Solve(Using PEMDAS order of operations):
[tex]18\div \:2\times \:4\\18\div \:2=9\\=9\times \:4\\=36\\=14+36-7\\14+36=50\\=50-7\\=43[/tex]
