Answer:
y = 2A - x
Step-by-step explanation:
Given equation,
→ A = (x + y)/2
Now the value of y will be,
→ A = (x + y)/2
→ (x + y)/2 = A
→ x + y = 2A
→ [ y = 2A - x ]
Hence, answer is y = 2A - x.
What’s the answers!!! It’s due tonight I need help!!!
The explanation regarding the given values is given below.
What is Absolute Value?An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, also, |5| will give 5 as well.
Given that x is on the right side of 1 therefore will be a positive quantity, while y is of the left side of 0 therefore will be always negative.
Also, y is more close to 0 while x is far from 1. Thus, we can write |x|>|y|.
Now, the two values are +x and -y let consider the given expressions,
2.1)
x + (-y)
= x - y
Since x is positive and greater than y while y is negative therefore, the result of this expression will be always positive and the value of the sum will be the absolute difference between x and y.
2.2)
(-y) - x
Since x is positive and greater than y while y is negative, therefore,
= -y + (-x)
= -y - x
The result of this expression will be always negative because y and x both will be negative and the value of the sum will be the numerical combined value of x and y.
2.3)
x - (-y)
Since x is positive and greater than y while y is negative, therefore,
= x + y
= x + y
The result of this expression will be always negative. therefore, the result of this expression will be always negative and the value of the sum will be the absolute sum of x and y.
2.4)
-y + x
Since x is positive and greater than y while y is negative, therefore,
= x - y
Since x is positive and greater than y while y is negative therefore, the result of this expression will be always positive and the value of the sum will be the absolute difference between x and y.
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What shape is an arena?
Answer:
A square or cube....
Step-by-step explanation:
Who keep spamming random questions????
Mia went shopping for a new pair of sneakers because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Answer:
0.7
Step-by-step explanation:
30% off a price means you pay 70% of the tag price. So multiply the tag price by 0.70
Example:
A $75 pair of sneakers is 30% off. You pay $75 x 0.7 = $52.50
To prove this is right, 30% off $75 is:
$75 x 0.30 = $22.50
$75 - $22.50 = $52.50
ACDF is a trapezoid and BE is a midsegment. X=?
keeping in mind that the mid-segment of a trapezoid is simply half the sum of the parallel sides or "bases", Check the picture below.
[tex]B E=\cfrac{C D+A F}{2}\implies 2x+10=\cfrac{18~~ + ~~(6x-12)}{2}\implies 4x+20=6x+6 \\\\\\ 20=2x+6\implies 14=2x\implies \cfrac{14}{2}=x\implies 7=x[/tex]
15 points.............
Side HG of ΔIHG is congruent to side CD of ΔBCD.
The correct option is A.
What are congruent triangles?Two triangles are said to be congruent if the three sides and the three angles of both the triangles are equal in any orientation.
Given,
ΔIHG ≅ ΔBCD
By the given figure,
HG ≅ CD
Hence, side HG is congruent to side CD.
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X5 -3x3 -x2 +2x +2 ÷ x2 -2
Answer:
Hello!
Your answer follows below:
Step-by-step explanation:
X5 -3x3 -x2 +2x +2 ÷ x2 -2 = Please view attached file.
If you like my answer, please mark Brainliest.
Thanks!
When Mike graduated college, his dad bought him a new truck worth $22,000. One year later, the truck had dropped 15% in value. If the truck's value continued to drop by 15% each year, what is the trucks value after 3 years? Round your answer to the nearest dollar.
need this asap
Answer:
$13,511
Step-by-step explanation:
Year 1: $22,000×.85=$18,700
Year 2: $18,700×.85=$15,895
Year 3: $15,895×.85=$13,510.75
($13,511 to nearest dollar)
For questions 1-8, use the ellipse defined by the following equation: (x-4)^2/36+(y+2)^2/16=1
1. what are the coordinates of the center
2. What is the length of the major axis.
3. What is the length of the minor axis.
4. What is the sum of the local radii
5. What are the coordinates of the foci.
6. What are the coordinates of the vertices.
7. Find the eccentricity of the ellipse.
PLEASE SHOW WORK.
Answer:
Step-by-step explanation:
The standard form of the ellipse equation is (x-h)²/a² +(y-k)²/b² =1
This equation is for a horizontal ellipse. (a) is always bigger than (b) in ellipses. Because (a²) is under the x, that's why this ellipse is horizontal.
Now, let's answer the questions:
1. The center coordinates are (h,k) which are (4,-2) by comparing the two equations.
2. length of the major axis = 2a , let's find (a)
if you compare the two equations, a²=36 , that means a=6
Then 2a=12
3. length of the minor axis = 2b , let's find (b)
if you compare the two equations, b²=16 , that means b=4
Then 2b=8
4. the sum of the local radii = length of the major axis = 12
5. to find the foci, we have to find the value of (c), we have to use the equation a²=b²+c²
plugin a² and b², 36=16+c² , solve it, c=√20 =2√5
Now, to find the coordinates of the foci, we have to add and subtract the (c) value from the x-coordinate of the center while the y-coordinate stays the same (because this ellipse is horizontal).
the coordinates of the foci are (4+2√5 , -2) and (4-2√5 , -2)
6. the vertices are the end points of the major and the minor axes. To find the vertices on the major axis, add the value of (a) to the x-coordinate of the center while the y-coordinate stays the same.
(4+6,-2) and (4-6,-2) , this leads to (10,-2) and (-2,-2)
To find the vertices on the minor axis, add the value of (b) to the y-coordinate of the center while the x-coordinate stays the same.
(4,-2+4) and (4,-2-4) , this leads to (4,2) and (4,-6)
7. eccentricity (e)=c/a =(2√5)/6 = (√5)/3
use the aleks calculator to write 9/14 as a decimal rounded to the nearest hundredth
Using Aleks calculator to write 9/14 as a decimal and rounding up to the nearest hundredth is 0.64.
What is Aleks calculator?This refers to an artificial, intelligent learning and assessment device that students use in academic filed such as: Mathematics, Chemistry, Statistics, and Accounting. It helps students to quickly and accurately solve arithmetics and get precise answers in some subjects areas. Aleks enables the student to work on the topics they are ready to learn.
For the division of the given question:
Aleks calculator was used to show the step-by-step division.
[tex]\frac{9}{14}[/tex] = 0.6428
Rounding to the nearest hundredth, the result of the division is 0.64.
(The third decimal place is 2, which is smaller than 5, so after rounding, the second decimal place is not changed).
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i needddd hwlppp but please
20. (0, -2), (3, 1)
(1+2)/(3-0)= 3/3= 1
y + 2= x - 0
y= x - 2
21. (0,4), (4, 2)
(2-4)/(4-0)= -2/4= -1/2
y - 4 = -1/2(x - 0)
y - 4 = -1/2x + 0
y= -1/2x + 4
22. (0, 1), (2, -3)
(-3-1)/(2-0)= -4/2= -2
y - 1 = -2(x - 0)
y - 1= -2x + 0
y = -2x + 1
23. (0, -3), (2, 1)
(1 + 3)/(2 - 0)= 4/2= 2
y + 3 = 2( x - 0)
y + 3 = 2x - 0
y = 2x - 3
7/2=
3/5=
Rewrite each fraction with a denomenator of 10
What is the y-intercept of the graph of y = 2.5x?
a.
2.5
c.
0
b.
1
Answer:
с.0
Step-by-step explanation:
The y-intercept of a graph is the point where the graph crosses the y-axis. This means that when x=0, the value of y is equal to the y-intercept. In the equation y = 2.5x, when x=0, y=2.5 * 0 = 0. So the y-intercept of this graph is 0
Write a linear two-variable equation that represents the graph.
The linear two-variable equation that represents the graph is y = -2x + 4.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Two coordinates from the graph:
(0, 4) and (1, 2)
m = (2 - 4) / 1 = -2/1 = -2
Now,
y = mx + c
(0, 4) = (x, y)
4 = 0 + c
c = 4
Now,
y = -2x + 4
Thus,
The equation that represents the graph is y = -2 + 4.
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Jessica opened a savings account with $40.00.
She is going to add $20 per week over the twelve weeks of summer. She will close the account when the summer is over.
Which expression would be an appropriate domain for this situation?
A. x≥0
B. x≥12
C. 0≤x≤12
D. 0≤x≤40
Answer:
C. 0≤x≤12
Step-by-step explanation:
BRAINLIEST AND SET A 100
The data below lists the number of pages Tamara read and the time it took her to read them.
Tamara read 25 pages in 36 minutes.
Tamara read 48 pages in 63 minutes.
Tamara read 52 pages in 74.5 minutes.
Determine which table below represents a two-column table for the given data.
The table that represents the two-column table for the data in this problem is given by the image shown at the end of the answer.
How to build the two-column table?As the own name of the table says, the two-column table is composed by two-columns.
The columns of the table are defined as follows:
Left column: input variable.Right column: output variable.The input and the output variables for this problem are given as follows:
Input variable: time, in minutes.Output variable: number of pages read.Then the table is composed by four rows, as follows:
Time (minutes) - Number of pages
25 - 36
63 - 48
74.5 - 52
Which is illustrated on the image shown at the end of the answer.
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The perimeter of a rectangular garden is 38m and its area is 60sq. M. What are the dimensions of the garden?.
The length of the rectangular garden is 12 m and the breadth is 5 m.
The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula of the area of a rectangle is used to find the area occupied by the rectangle within its boundary. In the above example, the area of the rectangle whose length is 4 inches and the width is 3 inches is 12 square inches. We have 4 × 3 = 12. The area of a rectangle is obtained by multiplying its length and width. Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".
Area of a Rectangle = (Length × Breadth) square units
Let us assume that the length of the rectangular garden is x and the breadth is y.
We are given that The perimeter of a rectangular garden is 38m and its area is 60sq.
Perimeter = 2(length + breadth) = 2(x +y)
∴ 2 (x+y) = 38 ⇒ x+ y = 17 ⇒ y = 17 -x
Area = length×breadth = xy
∴ xy = 60
Substitute y from above equation:
x(17 - x) = 60
⇒ 17x - x² = 60
⇒ x² - 17x + 60 = 0
Solving this quadratic equation, we get
x = 12 , 5
Thus, the length of the rectangular garden is 12 m and the breadth is 5 m.
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H(x)=3x-4 complete function table
The value of function H(x) at x = -4 is 16, at x = -3 is -13, at x = 2 is 2, at x = 3 is 5, and at x = 5 is 11.
What is function?The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output.
Given:
H(x) = 3x - 4
Calculate the value of the function when x = -4 as shown below,
H(x) = 3 × (-4) - 4
H(x) = -12 - 4
H(x) = 16
Calculate the value of the function when x = -3 as shown below,
H(x) = 3 × (-3) - 4
H(x) = -9 - 4
H(x) = -13
Calculate the value of the function when x = 2 as shown below,
H(x) = 3 × 2 - 4
H(x) = 6 - 4
H(x) = 2
Calculate the value of the function when x = 3 as shown below,
H(x) = 3 × 3 - 4
H(x) = 5
Calculate the value of the function when x = 5 as shown below,
H(x) = 3 × 5 - 4
H(x) = 11
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A popular kid's game has 15 tiles and 1 open space. The goal of the game is to rearrange the tiles to put them in order (from least to greatest, starting at the upper left-hand corner and going across each row). Use the figure to write the transformation(s) that describe the path of where the 8 tile is currently, and where it must be by the end of the game. Can this same translation be used to describe the path of all the tiles?
The translation that describe the path of the 8 tile to reach it's final position is given as follows:
(x,y) -> (x + 3, y - 1).
The same translation cannot be used to describe the path of all the tiles, as the paths are different for each tile.
What are the translations?There are four translations that are standard, and their rules are defined as follows:
Translation left a units: (x,y) -> (x - a, y).Translation right a units: (x,y) -> (x + a, y).Translation up a units: (x, y) -> (x, y + a).Translation down a units: (x,y) -> (x, y - a).The tiles will be placed in order, meaning that the tile number eight should be the second row and fourth column, as all the numbers from 1 to 15 are in the matrix.
As the number eight is in the first row and first column, the translation is given as follows:
3 units right: x -> x + 3.1 unit down: y -> y - 1.The composition of these two translation is given by:
(x,y) -> (x + 3, y - 1).
This is the rule only for the tile 8, not for all tiles, as some are already at their final position, such as tiles 5 and 6.
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seven and one ninth equals two and four fiths plus m
The translation of the sentence to an equation is 7 1/9 = 2 4/5 + m
How to translate the sentence to an equationFrom the question, we have the following parameters that can be used in our computation:
seven and one ninth equals two and four fifths plus m
The number is represented with m
So, the statement remains unchanged as follows
seven and one ninth equals two and four fifths plus m
seven and one ninth means 7 1/9
So, we have the following representation
seven and one ninth equals two and four fifths plus m ⇒ 7 1/9 equals two and four fifths plus m
two and four fifths means 2 4/5
So, we have the following representation
seven and one ninth equals two and four fifths plus m ⇒ 7 1/9 equals 2 4/5 plus m
Lastly, plus and equals can be represented as + and =
This gives
seven and one ninth equals two and four fifths plus m ⇒ 7 1/9 = 2 4/5 + m
Hence, the equation is 7 1/9 = 2 4/5 + m
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Complete question
Translate the sentence into an equation.
seven and one ninth equals two and four fifths plus m
Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify Q + S - T.
8m - 7n - 3
8m + 7n - 3
-8m - 7n - 3
-8m + 7n - 3
Answer:48
Step-by-step explanation:jjjhdwjhwed
Pls Answer for 100 brainlists (Down below) I would really appreciate it
The solution to the equation is x = 105/14 and y = -27/2
What is Simultaneous Linear Equation?Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution.
Methods of solving simultaneous equationsWe use different methods to solve simultaneous equations. Some of the common methods are:
Substitution MethodElimination MethodGraphical MethodBy substitution method
-7x + -5y = 15 ----- 1
7x + 3y = 12 ----- 2
from equation 1
7x = -15 -5y ----- 3
substitute 7x in equation 2
-15 - 5y + 3y = 12
-2y = 12 + 15
-2y = 27
y = -27/2
To find x, substitute y in equation 3
7x = -15 - 5(-27/2)
7x = -15 + 135/2
Multiplying both sides by 2
14x = -30 + 135
14x = 105
x = 105/14
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What is the square root of 3,600?
The square root of 3,600 is 60.
Answer:
60
Step-by-step explanation:
Root of 3600 is the same as the root of (2×2)×(2x2)×(3×3)×(5×5) which is the same as 2×2×3×5 which is 60.
The vertices of a figure are P(-3,-2),Q(-3,0), and R(0, 0). Draw the figure and its image after a dilation with a scale
factor of k=4. Then identify the type of dilation.
The new images has vertices Q´ (-12, 0), R´ (0, 0), P´(-12, -8), and the type of dilation is contraction.
What is dilation?Dilation is the process of modifying the dimensions of an object or shape by varying some scale variables. For instance, a circle with a radius of 10 units gets shrunk to a circle with a radius of 5 units. This technique is applied in photography, fine art, logo design, and other fields.
When we dilate the points of a given figure, we simply multiply each x-coordinate and y-coordinate by the scale factor.
Here the points are P(-3,-2),Q(-3,0), and R(0, 0) and the scale factor is
k = 4
Therefore,
⇒ Q (-3,0) → Q´ (-3 × 4,0 × 4) = (-12, 0)
⇒ R (0, 0) → R´ (0, 0)
⇒ P (-3, -2) → T´ (-3 × 4, -2 × 4) = (-12, -8)
Thus, the new images has vertices Q´ (-12, 0), R´ (0, 0), P´(-12, -8),
Also, the type of dilation is contraction.
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HCM between 32 and 24. please help me
HCF of 32 and 24 is 8 (eight)
What is HCF?
HCF stands for the highest common factor - it is the greatest factor that divides the given number.
For example, 2 is the HCF of 4 and 6.
Given numbers are 32 and 24
prime factor of 32 is 2*2*2*2*2
prime factors of 24 are 2*2*2*3
HCF will be the product of a common number which is 2*2*2 =8
therefore, the HCF of 32 and 24 should be 8
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the complete question should be as follow
what is the HCF of 32 and 24?
identify the terms coefficients and constants in the expression 4x+17
The coefficient of the given expression 4x+17 is 4 and the constant is [tex]4[/tex].The coefficient is a number or variable that is multiplied by another variable in the expression. Think about [tex]4a^{2}[/tex]. In this instance, the literal coefficient of [tex]4[/tex] is [tex]a^{2}[/tex] and the numerical coefficient of [tex]a^{2}[/tex] is [tex]4[/tex]. The numerical coefficient of n is [tex]12[/tex] in the expression [tex]12n[/tex]; if there is no number, the coefficient is assumed to be [tex]1[/tex].
The numerical coefficient of both [tex]a^{2}[/tex] and [tex]b[/tex] in the expression [tex]a^{2}[/tex] + b is [tex]1[/tex]. Terms with similar literal coefficients are called like terms, while terms with different literal coefficients are called unlike terms. A value or number that never changes in its expression is called a constant. It is always the same. For instance, the values [tex]36[/tex] and [tex]82[/tex] in the preceding figure are constant because they have the same face value. It never loses value.
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help me please showe ur solutions
Area of the shaded sectors and segment are 1. 51.3 cm², 2. 30.1 cm² and 3. 14.14 cm².
What is Circle?Circles are two dimensional figure which are set of all points which are equal distance from a common point.
Area of the sector = (θ/360°) π r², where θ is the sector angle.
1. r = 7 cm
θ = 120°
Area of the sector DEF = (120/360) π 7²
= [tex]\frac{1}{3}[/tex] × [tex]\frac{22}{7}[/tex] × 7²
= 51.3 cm²
2. We have to find the area of the segment DF.
Area of the segment DF = Area of the sector DEF - Area of ΔDEF
From 1. Area of sector DEF = 51.3 cm²
To find area of ΔDEF, make two triangles by drawing a perpendicular bisector from E to line DF. Let O be the point on the line DF where the perpendicular line touches..
Then we get two triangles and they are congruent by RHS congruency rule. [ Both have hypotenuse = 7 cm, both have right angles and a common side which is the perpendicular drawn.
Let's find base and height of ΔDEF.
Let x be the base. Then x/2 is the base of one triangle.
Sin 60° = base / hypotenuse
√3 / 2 = (x/2) / 7
x/2 = (√3 / 2) × 7
x = 7[tex]\sqrt{3}[/tex] cm
Base = 7[tex]\sqrt{3}[/tex] cm
Cos 60° = Height / hypotenuse
1 / 2 = Height / 7
Height = (1/2) × 7
= 3.5 cm
Area of ΔDEF = [tex]\frac{1}{2}[/tex] × base × height
= [tex]\frac{1}{2}[/tex] × 7[tex]\sqrt{3}[/tex] × 3.5
= 21.2 cm²
Area of the segment DF = Area of the sector DEF - Area of ΔDEF
= 51.3 cm² - 21.2 cm²
= 30.1 cm²
3. r = 6 cm
θ = 45°
Area of sector KLM = (45/360) π 6²
= [tex]\frac{1}{8}[/tex] × [tex]\frac{22}{7}[/tex] × 6²
= 14.14 cm²
Hence the area of shaded portions are calculated as above.
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How many coins would you need to make all possible rows of 6 coins (not necessarily with equal numbersof pennies and nickels)
Using combination, a) the number of coins = 120 b) the number of coins would needed to make all possible rows of 6 coin is 384.
a) Based on the provided information, each row is a 6-bit string (6 coins) and its weight is 3 (3 pennies). Therefore, using combination the possible number of rows will be 6C3. The formula for combination is given by:
nCr = n!/r!(n – r)!
Hence,
6C3 = 6!/3!(6 – 3)! = 6!/3!3! = 6*5*4*3!/ 3*2*1*3! = 20
And in case each row requires 6 coins simultaneously, the number of coins = 6*20 = 120 coins
b) Based on the provided information, the possible number of rows will be 2^6 = 64. It can also be obtained using combination the possible number of rows will be sum of 6C0, 6C1, 6C2, 6C3, 6C4, 6C5, and 6C6.
Hence,
6C0 + 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6
6!/0!(6 – 0)! + 6!/1!(6 – 1)! + 6!/2!(6 – 2)! + 6!/3!(6 – 3)! + 6!/4!(6 – 4)! + 6!/5!(6 – 5)! + 6!/6!(6 – 6)!
6!/0!6! + 6!/1!5)! + 6!/2!4! + 6!/3!3! + 6!/4!2! + 6!/5!1! + 6!/6!0!
1 + 6 + 15 + 20 + 15 + 6 + 1
64
Therefore, the number of coins needed = 6*64 = 384 coins. The number of coins in each row = 384/2 = 192 coins
Hence,
Note: The question is incomplete. The complete question probably is: You break your piggy-bank to discover lots of pennies and nickels. You start arranging these in rows of 6 coins. (a) You find yourself making rows containing an equal number of pennies and nickels. For fun, you decide to lay out every possible such row. How many coins will you need? b) How many coins would you need to make all possible rows of 6 coins (not necessarily with equal number of pennies and nickels)?
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What does a sign with a reflective orange triangle with a red border on each of the three sides warn you of
This triangle is warning you to slow down and be prepared to stop. It indicates that a railroad crossing is ahead and you should proceed with caution.
This sign is warning you that a railroad crossing is ahead, and you should proceed with caution. The triangle shape is reflective orange with a red border on each of the three sides. This sign indicates that you should slow down and be prepared to stop as a train may be approaching. You should also look both ways for any oncoming trains before continuing to cross the tracks. Additionally, you should never try to drive around a lowered crossing gate and never cross the tracks until you are sure that it is safe to do so. Always obey the signs and signals at railroad crossings and never take any chances when it comes to safety. Following these rules will help to ensure that everyone stays safe when crossing railroad tracks.
the complete question is : What does a sign with a reflective orange triangle with a red border on each of the three sides warn you off ?
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The sign with a reflective orange triangle with a red border on each of the three sides warn you of Slow moving vehicles.
Here we have to find the reason behind sign with a reflective orange triangle with a red border on each of the three sides.
Basically this type of sign are look like a warning triangle which is also an equilateral triangle of around 600mm in size made of red reflective material. Where it can be put on the side of the road by anyone to warn other drivers of a breakdown or crash ahead.
And it must also said that the reflective orange triangle on the rear of a vehicle means it is traveling 35 mph or less. And here you may see this sign on road maintenance equipment, farm vehicles, or horse- drawn wagons.
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On april 1, a company paid the $3,300 premium on a three-year insurance policy with benefits beginning on that date. What amount of insurance expense will be reported on the annual income statement for the year ended december 31?.
The insurance expense for the year ending December 31 would be $2,200.
If the insurance policy has benefits beginning on April 1 and the annual income statement is for the year ending December 31, then the insurance expense for the year would be a prorated portion of the $3,300 premium.
To determine the prorated amount, we need to calculate the number of months in the year covered by the policy. From April 1 to December 31, there are 9 months. The insurance expense for the year would be $3,300 divided by 3 (the number of years of the policy) and multiplied by 9/12 (the number of months in the year covered by the policy). This would be $3,300 / 3 * 9/12 = $2,200.
Therefore, the insurance expense for the year ending December 31 would be $2,200.
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Total $825 amount of insurance expense will be reported on the annual income statement for the year ended December 31.
In the given question, on April 1, a company paid the $3,300 premium on a three-year insurance policy with benefits beginning on that date.
We have to find amount of insurance expense will be reported on the annual income statement for the year ended December 31.
The total months between April 1 and December 31 is 9.
Insurance expense for 9 months (from 1 April to 31 Dec) = ($3300/3) *9/12
Insurance expense for 9 months (from 1 April to 31 Dec) = $1100 * 3/4
Insurance expense for 9 months (from 1 April to 31 Dec) = $3300/4
Insurance expense for 9 months (from 1 April to 31 Dec) = $825
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What must be true for lines a and b to be parallel lines? select two options. Lines a and b are crossed by transversals c and d. The angles formed by lines a, c, and d, clockwise from top left, are (3 x minus 1) degrees, 2, blank, blank, blank, 1. The angles formed by lines b and c are blank, (4 x minus 10) degrees, blank, blank. The angles formed by lines b and d are 58 degrees, blank, blank, blank.
The angles formed by lines a, c, and d are 90 degrees, 90 degrees, 90 degrees, 90 degrees.The angles formed by lines b and c are 80 degrees, 80 degrees, 80 degrees, 80 degrees.
In order for two lines to be parallel, the angles formed by the lines and any transversal must be equal. In this case, the angles formed by lines a, c, and d must be equal to 90 degrees, and the angles formed by lines b and c must be equal to 80 degrees.
For two lines to be parallel, the angles formed by the lines and any transversal crossing them must be equal. In this particular case, the angles formed by lines a, c, and d must be equal to 90 degrees, and the angles formed by lines b and c must be equal to 80 degrees. This means that the angles formed by lines a, c, and d must be 90 degrees, 90 degrees, 90 degrees, and 90 degrees, clockwise from top left. Similarly, the angles formed by lines b and c must be 80 degrees, 80 degrees, 80 degrees, and 80 degrees. Finally, the angles formed by lines b and d must be 58 degrees, 80 degrees, 80 degrees and 80 degrees. All these conditions must be met for lines a and b to be parallel.
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