A light bulb consumes 12600 watt-hours in 3 days and 12 hours. How many watt-hours does it consume per day?

Answers

Answer 1

A light bulb will consume 3,600 watts - hours in 1 day if it consumes 12,600 watts in 3 days 12 hours.

We are given that:

Consumption in 3 days 12 hours = 12,600 watts

12 hours = 12 / 24 days = 0.5 days

Days = 3 + 0.5 days = 3.5 days

Now, by using the unitary method, we get that the consumption by a light bulb in 1 day will be equal to:

3.5 days = 12,600 watts

1 day = 12,600 / 3.5 watts

1 day = 3,600 watts

Therefore, a light bulb will consume 3,600 watt - hours in 1 day if it consumes 12,600 watts in 3 days 12 hours.

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Related Questions

Draw the graph of the line that is perpendicular to Y=1/2 X +2 and goes through the point (-1, 4)

Draw the graph of the line that is perpendicular to Y=1/2 X +2 and goes through the point (-1, 4)

Answers

Answer:

Step-by-step explanation:

To determine a line that is perpendicular to another, first, calculate the new slope, the slope of a perpendicular line is the negative reciprocal of the given line.

Therefore, the slope of the perpendicular line:

\(\begin{gathered} m=-(2) \\ m=-2 \end{gathered}\)

Now, use the slope-point form of a linear function to determine the equation;

\(\begin{gathered} y-y_0=m(x-x_0) \\ y-4=-2(x+1) \\ y-4=-2x-2 \\ y=-2x-2+4 \\ y=-2x+2 \end{gathered}\)

The green line is the perpendicular line to y=1/2x+2.

Draw the graph of the line that is perpendicular to Y=1/2 X +2 and goes through the point (-1, 4)
Draw the graph of the line that is perpendicular to Y=1/2 X +2 and goes through the point (-1, 4)

Find the quotient and the remainder when x- + 5x + 2 is divided by x + 1

Answers

Answer: The quotient is when x+ 5x + 2 = 6

The reminder is when x+ 5x + 2 = -4  

Step-by-step explanation:

Given data,

The quotient and the remainder when x + 5x + 2 is divided by x + 1

Let, f(x) = x + 5x + 2

      g(x) = x+1

we can write,

   g(x) = x+1 = 0

   g(x) = x = -1

so,        f(x) = x + 5x + 2

we can substitute x = -1 value

             f(x) = x + 5x + 2

             f(-1) = (-1) + 5(-1) + 2

             f(-1) = (-1) - 5 + 2

              f(-1) = (-1) - 3

              f(-1) = -4

Therefore,

The quotient is when x+ 5x + 2 = 6

The reminder is when x+ 5x + 2 = -4        

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PLEASE HELP!! I NEED THIS!

2+2=? 3+1=?



Okay I'll give Brainlyest to someone... Just answer it..

Answers

Answer:

2+2=4 and 3+1=4

Step-by-step explanation:

Hope this Helps! :)

Answer:

2+2=4 and 3+1=4 hope thsi helps!

Step-by-step explanation:

A sole proprietorship that began business on May 1, 2021, incurred $7,500 of start-up expenses. If the business elects to report the maximum amount of start-up costs as a current expense, what is the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business?
$0
$111
$167
$333

Answers

Based on the start-up expenses to the sole proprietorship, the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business will be $111.

What is the amortization amount?

Before the amortization amount can be calculated, a deduction of $5,000 should be made because the start-up costs were less than $50,000.

The amount to be amortized is therefore:

= 7,500 - 5,000

= $2,500

The amount to be amortized will be amortized over 15 years. As the business started on May 1, 2021, there are only 8 months left in the year.

The amortization amount is:

= (2,500 x 8 months) / ( 15 x 12 months a year)

= $111

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Heather knit a scarf for each of her 4 friends. Altogether, the scarves had a
total length of 27.6 ft. If each scarf was the same length, how long was each
scarf? Correct

Answers

Answer:

6.9 feet

Step-by-step explanation:

You can get this by dividing 27.6 by 4

then can check your answer by multiplying 4 by 6.9

What is the solution to the equation below?
0.5x + 20 = 0.6x
A. x = -200
B. x=2
C.x = 20
D.x = 200

Answers

Answer:

it's D 200 for sure my answer I correct

Which is more, 3 pounds or 50 ounces?

Answers

50 ounces = 3.125 pounds Alternative conversion We can also convert by utilizing the inverse value of the conversion factor. In this case 1 pound is equal to 0.32 × 50 ounces. hope this helps you!! <3

Water flows at a rate of 6500 cubic inches per minute into a cylindrical tank. The tank has a diameter of 120 inches and a height of 72 inches. What is the height, in inches, of the water in the tank after 5 minutes? Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

The 3.5% saltwater means that for every 100 gallons of saltwater, there are 3.5 gallons of salt and 96.5 gallons of purified water. Therefore, to find the number of gallons of salt mix that Julian should add to 30 gallons of purified water, we can set up the following proportion:

3.5 gallons of salt / 100 gallons of saltwater = x gallons of salt / 30 gallons of purified water

Simplifying this proportion, we get:

x = (3.5 gallons / 100 gallons) * 30 gallons / 96.5 gallons

x = 0.01078 gallons of salt mix

To find the number of pints of aquarium salt mix that Julian should use, we can set up another proportion:

1 gallon of salt mix / 8 pints of salt mix = 0.01078 gallons of salt mix / y pints of salt mix

Simplifying this proportion, we get:

y = (0.01078 gallons of salt mix / 1 gallon of salt mix) * (8 pints of salt mix / 1 gallon of salt mix)

y = 0.0862 pints of aquarium salt mix

Rounding to the nearest tenth, Julian should use approximately 0.1 pints of aquarium salt mix for 30 gallons of purified water.

Shiv S. Goswami

Water flows at a rate of 6500 cubic inches per minute into a cylindrical tank. The tank has a diameter of 120 inches and a height of 72 inches. What is the height, in inches, of the water in the tank after 5 minutes? Round your answer to the nearest tenth.

The volume of the cylindrical tank can be calculated using the formula:

V = πr^2h

where r is the radius (half the diameter) of the tank, and h is the height of the tank.

The radius of the tank is 120/2 = 60 inches, and the height is 72 inches. Therefore, the volume of the tank is:

V = π(60)^2(72) ≈ 9,678,696.12 cubic inches

Water flows into the tank at a rate of 6500 cubic inches per minute. Therefore, after t minutes, the volume of water in the tank will be:

Vw = 6500t cubic inches

The height of the water in the tank after t minutes can be calculated by rearranging the formula for the volume of a cylinder:

V = πr^2h

to solve for h:

h = V / (πr^2)

Substituting the values we know, we get:

h = (V + Vw) / (πr^2)

After 5 minutes, the volume of water in the tank will be:

Vw = 6500 * 5 = 32,500 cubic inches

So the total volume of water in the tank after 5 minutes will be:

V + Vw = 9,678,696.12 + 32,500 = 9,711,196.12 cubic inches

Substituting these values into the formula for the height of the water, we get:

h = (9,711,196.12) / (π(60)^2) ≈ 82.2 inches

Therefore, the height of the water in the tank after 5 minutes is approximately 82.2 inches (rounded to the nearest tenth).

I'll give brainiest. A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.​

I'll give brainiest. A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What

Answers

Answer:

4

Step-by-step explanation:

64 divided by 16 is 4.

To check your answer, you can always add the top: 20+4 which is 24, and multiply that by 16: which is 384-the total number of seats.

Initially, 50 pounds of salt are dissolved in a large tank holding 300 gallons of water. A brine solution with a concentration of 2 pounds per gallon is pumped into the tank at a rate of 3 gallons per minute, and the well-stirred solution is then pumped out at the same rate. Write a differential equation to model this problem, and use it to determine a function describing the amount of salt in the tank at any given time. How much salt will be in the tank if this process is allowed to continue for an infinite amount of time

Answers

Answer:

dA / dt = 6 - A (t) / 100

600

Step-by-step explanation:

We have to:

dA / dt = In - Out

Input = input salt concentration * input rate of brine

replacing

Inlet = 2 lb / gal * 3 gal / min = 6 lb / min

there is no build up because the inlet flow equals the outlet, so there are 300 gallons in the tank at the start

Output: salt concentration at the output * output rate of brine

replacing

Output: A (t) / 300 * 3 gal / min = A (t) / 100

Thus:

dA / dt = 6 - A (t) / 100

this would be the differential equation.

now, when time tends to infinity, we would be left with:

100 * dA / dt = 600 - A (t)

When t tends to infinity, A (t) tends to 0, therefore, the amount of salt would be 600.

circle are congruent if there have some

fill in the blanks​

Answers

Answer:

.I would like to help but....!!!!

there is no diagram!

please help with this​

please help with this

Answers

we can do it like this

6- -6

over

-7-(-3)

or

12/4

3/1

so it's y=3x-3

True or False: In an exponential regression, the data points tend to increase in one direction and flatten out in the other direction.

Answers

Answer:

T

Step-by-step explanation:

The regression line is flat when there is no ability to predict whatsoever. The regression line is sloped at an angle when there is a relationship. The extent to which the regression line is sloped, however, represents the degree to which we are able to predict the y scores with the x scores

You deposit 3100 in an account with an annual interest of 3.4% for 20 years

Answers

Answer:

The amount in 20 years is $6,050.24

Step-by-step explanation:

Given the following information:

Principal (Present Value, or PV)= $3,100

Interest rate ( r )= 3.4% or 0.034

Number of compounding period (n )= 1 (annually)

Number of years ( t )= 20

We can use the Future Value formula to find out the value of $3,100 in 20 years:

\(FV = PV(1 + \frac{r}{n})^{nt}\)

\(FV = 3100(1 + \frac{0.034}{1})^{1*20}\)

\(FV = 3100(1.034)^{20}\)

FV = 3100(1.95169)

FV = $6,050.24

Therefore, the future value of the amount deposited is $6,050.24

Let S be the universal set, where:
S= {1, 2, 3,..., 18, 19, 20}

Let sets A and B be subsets of S, where:

Let S be the universal set, where: S= {1, 2, 3,..., 18, 19, 20}Let sets A and B be subsets of S, where:

Answers

Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

2 hours 20 min to 40 min

Answers

Answer:

um there are 3 1/2 forties in two hours and 20 minutes. Did this answer your question?

Step-by-step explanation:

2 hours 20 minutes= 140 minutes

140/40=3 1/2

Right triangle LMN has vertices L(7, –3), M(7, –8), and
N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

Answers

In this case we have a translation of 8 units to the left and 11 units upwards.

How to find the translation?

To find the translation, we just need to compare the two known vertices before and after the translation.

If we have a translation of a units in the x-axis and b units in the y-axis, we will get:

T(a, b)L ---> L'

We know that L = (7, -3) and L' = (-1, 8)

Then we can write:

(7 + a, -3 + b) = (-1, 8)

Then we have two equations:

7 + a = -1 ---> a = -1 - 7 = -8

-3 + b = 8 ---> b = 8 + 3 = 11

Then we have a translation of 8 units to the left and 11 units up-.

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Complete question:

"Right triangle LMN has vertices L(7, –3), M(7, –8), and

N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

Find the translation done"

-1/4 plus 3/5
Answer or else

Answers

The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.

To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.

The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:

-1/4 = -5/20

3/5 = 12/20

Now that the fractions have the same denominator, we can add them:

-5/20 + 12/20 = (-5 + 12)/20 = 7/20

Therefore, -1/4 + 3/5 is equal to 7/20.

To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.

Thus, the final answer is 7/20.

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(Help) Make a conjecture about what the next item in each sequence will be. -2, 1, -0.5, 0.25, -0.125,...

Answers

Answer:

-0.0625

Step-by-step explanation:

ABC=XYZ which two statement identify corresponding congruent parts for these triangles

ABC=XYZ which two statement identify corresponding congruent parts for these triangles

Answers

Answer: it’s (4), I took the test too so I know it’s most likely right.

ABC=XYZ which two statement identify corresponding congruent parts for these triangles

6. The tables show the monthly costs for two different Internet service providers.
What will be the difference in the cost of the two plans after 18 months?
Company A
Month, x
1
234
Total Cost ($), y
75
110
145
180
Company B
Month, x
1
2
3
4
Total Cost ($), y
60
110
160
210

Answers

Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.

What will be the cost for the two plants after 18 months?

By following the sequence provided on the table, let's calculate the cost for each plant:

Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.

Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910

Now, let's calculate the difference in cost:

910 - 670 = 240

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6. The tables show the monthly costs for two different Internet service providers.What will be the difference

Your friend was bored one day and started making patterns using Cheerios from a new box he had opened. He laid the Cheerios on the table as such:
Based on the two images above and the information about the box, answer the following questions.
A) Identify and label the variable
B) Make a table for up to 8-figure patterns
C) Write an equation to represent the nth term of the sequence.
D) If the pattern continues, what figure number will have 20 whole Cheerios in it?
E) Is it reasonable to think this pattern would continue forever? If not, explain.
F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

PLS ANSWER ALL OF THE QUESTIONSSS I REALLY NEED THE ANSWERS ASAPPPPPPP PLEASE AND THANK YOU

Your friend was bored one day and started making patterns using Cheerios from a new box he had opened.
Your friend was bored one day and started making patterns using Cheerios from a new box he had opened.
Your friend was bored one day and started making patterns using Cheerios from a new box he had opened.

Answers

A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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6/7 - 1/3
Your answer

Answers

11/21    

b/t/w you con go on this website called  calculator soup and it has fraction calculators

and the website it self has nothing to download im pretty sure it doesnt

Find the area of the composite figure. Round to the nearest tenth.

A.92.5 sq m
B. 200.5 sq m
C. 257.1 sq m
D. 596.4 sq m

Find the area of the composite figure. Round to the nearest tenth.A.92.5 sq mB. 200.5 sq mC. 257.1 sq

Answers

Answer:

Surface area of figure = 200.52 meter²

Step-by-step explanation:

Given:

Side of square cut = 12 meter

Diameter of semi circle = 12 meter

Find:

Surface area of figure

Computation:

Diameter of semi circle = 12 meter

Radius of semi circle = Diameter of semi circle / 2

Radius of semi circle = 12 / 2

Radius of semi circle = 6 meter

Surface area of figure = Surface area of square + Surface of cylinder

Surface area of figure = [Side x Side] + πr²/2

Surface area of figure = [12 x 12] + (3.14)(6)²/2

Surface area of figure = [144] + (3.14)(36)/2

Surface area of figure = 144 + 56.52

Surface area of figure = 200.52 meter²

Which fraction is equal to 35%

Answers

Answer:

7/20 is the fraction!!!!

Answer

\(\frac{35}{100}\) is equal to 35%.

what’s the answer please

whats the answer please

Answers

Answer:

option c. complementary.

Answer:

answer. option c....

Step-by-step explanation:

option c

Sixty-four students voted for Morgan. Two times as many students voted for Whitney. How many students voted altogether? ​

Sixty-four students voted for Morgan. Two times as many students voted for Whitney. How many students

Answers

A total of 192 students voted altogether.

What is an addition operation?

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as an addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

Given:

The number of students who voted for Morgan = 64.

Let the number of students who voted for Whitney = n.

According to the question,

n = 2 times the number of students who voted for Morgan

n = 2 x 64

n = 128.

The total number of students who voted = 64 + 128

The total number of students who voted = 192.

Therefore, the required number of votes is 128.

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Here is a summary of the transaction for the business during the year (all amounts in KES) as well as key terms: I. Injected into the business share capital of 500,000 on commencement of operations 2. The business is to buy hand carts at 5,000 each, charge a 20% mark-up then resell 3. Millis pays for the hand carts up front 4. At the beginning of every month (including the first month of operations), Millie buys 50 hand carts and keeps them as inventory 5. Customers pay for the hand cans upfront when buying 6. Millie sold a total of 562 hand carts in the year. The monthly sales are as follows: Hand carts sold in January: 10 Hand carts sold in February: 45 c Hand carts sold in March: 46 Hand carts sold in April: 46 Hand carts sold in May: 47 Hand carts sold in June: 48 Hand carts sold in July: 49 I land carts sold in August 50 Hand carts sold in September 52 Hand carts sold in October: 54 Hand carts sold in November: 56 7. Millie will deduct monthly rent for this business of 7,500 at the beginning of every month, with a rent of 5,000 for January 8. Millie will pay herself a salary of 25,000 per month at the end of the month 9. The business incurs other operating expenses of 10,000 per month, paid by each immediately 10. No tax charge is recognized in the management accounts - this will be computed later once year end accounts have been prepared Your tasks: • Prepare monthly income statement

Answers

The preparation of the monthly income statement for Millie Company for the year is as follows.

Monthly Income Statement:

             Jan.  Feb.  Mar.  Apr.  May  Jun.  Jul.  Aug.  Sep.   Oct.  Nov.   Dec.

Sales Revenue (in thousands)

Sales

Units     10     45     46     46     47    48    49    50      52      54     56      59

Sales $60 $270 $276 $276 $282 $288 $294 $300 $312 $324 $336 $354

Cost of goods

sold $50 $225 $230 $230 $235 $240 $245 $250 $260 $270 $280 $295

Gross

Profit $10  $45   $46    $46  $47    $48    $49   $50    $52  $54  $56    $59

Rent      5    7.5    7.5      7.5   7.5     7.5      7.5     7.5      7.5   7.5    7.5      7.5

Operating

 Exp.   10    10    10        10    10       10       10      10        10     10     10          10

Total

exp. $15 $17.5 $17.5 $17.5 $17.5 $17.5  $17.5 $17.5  $17.5 $17.5 $17.5  $17.5

Net Income

      ($5) $27.5 $28.5 $28.5 $29.5 $30.5 $31.5 $32.5 $34.5 $36.5 $38.5

$41.5

What is the monthly income statement?

The monthly income statement is a summary of the business revenue and operating expenses for every month during the fiscal year.

For Millie, the income statement records the sales revenue (Sales price multiplied by Sales units) minus the cost of goods sold (Cost price multiplied by the cost per unit) to determine the gross profit.

From the gross profit, the monthly rent and operating expenses are deducted, to determine the net income (profit or loss).

Data and Calculations:

Cost of goods sold per cart = $5,000

Markup = 20%

Sales price per cart = $6,000 ($5,000 x 1.2)

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1. Stacey tried to remove a metal lid from a glass jar, but the lid was too tight. Her mother held the jar so that the lid was in hot water for a minute. Then Stacey was able to turn the lid easily. How did the hot water make the lid easier to remove? (F) Heating the glass jar made it expand, so the lid turned easily. (G) As the metal lid was heated, it expanded so that it was not as tight. (H) Water on the metal lid made it easier to hold, so it was easier to turn. (I)The water corroded the metal, so it did not hold as tightly to the glass.

Answers

According to the solution we have come to find that, As the metal lid was heated, it expanded so that it was not as tight. The correct answer is (G) As the metal lid was heated, it expanded so that it was not as tight.

what is heat?

Heat is a form of energy that is transferred between objects or systems as a result of a temperature difference. It is the energy that flows from a body of higher temperature to a body of lower temperature until they reach a state of thermal equilibrium. Heat can be transferred through three different mechanisms: conduction, convection, and radiation.

Conduction involves the transfer of heat through direct contact between two objects that are at different temperatures. Convection involves the transfer of heat through the movement of fluids, such as air or water, due to differences in temperature. Radiation involves the transfer of heat through the emission and absorption of electromagnetic waves, such as infrared radiation.

The correct answer is (G) As the metal lid was heated, it expanded so that it was not as tight.

When the metal lid was placed in hot water, the heat caused it to expand. This expansion allowed the lid to loosen from the glass jar, making it easier to turn. This is because metals generally expand when heated and contract when cooled. The expansion of the metal lid due to heat causes it to become slightly larger than before, thereby loosening its grip on the jar. As a result, the lid can be turned with less force, and it comes off easily.

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Match each expression with A, B, C or D.
A=a^3
B=6a
C=12a
D=3a^2
i)3a x 4
ii)a^2xa
iii) 6 1/2 a^2

Match each expression with A, B, C or D.A=a^3B=6aC=12aD=3a^2i)3a x 4ii)a^2xaiii) 6 1/2 a^2

Answers

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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