the measure of 2 angles are (3y+11) and (11 y+15). What is the value of y if the angles are congruent

To convert 5.5 cm to mm, we multiplied the length in centimeters by 10, which gave us 55 mm.

Measurement is an essential concept in mathematics and science that involves determining the size, quantity, or degree of something. The metric system is a standard measurement system that is widely used worldwide, and it includes units such as centimeters and millimeters.

Now, let's move on to your question about converting 5.5 cm to mm. Centimeters and millimeters are both metric units of length, with millimeters being smaller than centimeters. Therefore, to convert from centimeters to millimeters, we need to multiply the measurement in centimeters by 10.

We know that 1 cm is equal to 10 mm. So to convert 5.5 cm to mm, we can use the formula:

5.5 cm × 10 mm/cm = 55 mm

Therefore, 5.5 cm is equivalent to 55 mm.

It's important to note that when measuring, it's essential to use the appropriate units to get accurate results. In this case, we used the millimeter unit, which is suitable for measuring small lengths, to convert the 5.5 cm to a smaller unit, millimeters.

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Answer:

A. –8.6, –5.0, –1.4, 2.2, 5.8, …

C. 5, 1, –3, –7, –11, …

D. –3, 3, 9, 15, 21, …

Step-by-step explanation:

If a sequence is an arithmetic sequence, the difference between any two terms must be the same for all terms.

This is known as the common difference

The correct choices are:
A : Common Difference = 3.6

C. Common difference = -4

D. Common difference = 6

The cross-section from any side in a square prism is always square.

A cross-section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces. Cutting an object into slices creates many parallel cross-sections.

Cross-section of a square prism :-

The cross-section of a square prism is a square. Since a square prism has its faces shaped in square and all the edges of the square prism are equal in length.

Therefore, when we cut the cube by a plane, we get a square shape.

Hence, the cross-section from any side in a square prism is always square.

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The amount after 5 years with a simple interest of 5 % is A = $ 875

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the amount in the bank after 5 years be A

Let the simple interest be represented as I

Now , the principal amount invested = $ 700

The rate of interest r = 5 %

The number of years n = 5 years

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

On simplifying , we get

Simple Interest I = ( 700 x 5 x 5 ) / 100

Simple Interest I = 25 x 7

Simple Interest I = $ 175

Now , the amount after 5 years = P + I = 700 + 175

The amount after 5 years = $ 875

Hence , the amount after 5 years in the bank is $ 875

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The given length measurements are converted and given below.

Unit conversion is a process with multiple steps that involve multiplication or division by a numerical factor or, particularly a conversion factor.

Given is to convert the given measurements as -

a) 192 km

b) 15500 dam

c) 85000 m

d) 3360 hm

e) 860000 dm

We can write the measurements as -

a) 192 km            

192 Km = 192000 meters

b) 15500 dam

15500 dam = 15500 x 10 = 155000 meters

c) 85000 m

85000 m = (85000/1000) Km = 85 Kilometers

d) 3360 hm

3360 hm = 3360 x 100 = 336000 meters

e) 860000 dm

860000 dm = 860000 x 0.1 = 860000 x 1/10 = 86000 meter

Therefore, the given length measurements are converted and given above.

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Answer:

Jimmy hits 3 bullseyes in every 20 shots, which can be written as a fraction: 3/20.

To compare this to Amanda's performance, we need to find out what fraction of Amanda's shots result in a bullseye. We know that Amanda hits a bullseye on 18 percent of her shots, which can be written as a fraction: 18/100 or 9/50.

To determine who hits more bullseyes more often, we can compare the two fractions. We can find a common denominator of 100 to make the comparison easier:

3/20 = 15/100

9/50 = 18/100

Now we can see that Amanda hits a bullseye more often than Jimmy, as 18/100 is a larger fraction than 15/100. In other words, if both Jimmy and Amanda shoot 100 arrows, Amanda is expected to hit more bullseyes than Jimmy.

Answer:

Jimmy

Step-by-step explanation:

To compare who hits more bull's-eyes more often, we need to calculate the probability of hitting a bull's-eye for each person.

Jimmy hits 3 bullseyes in every 20 shots, so the probability of hitting a bull's-eye for Jimmy is:

3/20 = 0.15 or 15%

Amanda hits a bull's-eye on 18 percent of her shots, so the probability of hitting a bull's-eye for Amanda is:

18% = 0.18

Comparing these probabilities, we can see that [Jimmy hits more bull's-eyes more often,] since his probability of hitting a bull's-eye (15%) is greater than Amanda's probability (18%).

It's important to note that this comparison is based solely on the given information about hitting bull's-eyes, and does not necessarily reflect overall performance or skill as an archer. Other factors, such as accuracy, consistency, and technique, may also play a role in determining an archer's success.

As a result, the drop at the aqueduct's final destination is 279.84 feet.

Percent is a term used to represent a part or a fraction of a whole expressed as a value out of 100. The word "percent" comes from the Latin phrase "per centum," which means "per hundred." Percentages are commonly used to express ratios or proportions of quantities, and are denoted using the symbol "%". For example, if a student answers 85 out of 100 questions correctly on a test, their score can be expressed as 85%, which represents the proportion of questions they answered correctly out of the total number of questions.

Here,

If an aqueduct has a distance of 53 miles and a slope of 0.1%, we can use the formula:

drop = distance x slope x 5280

where 5280 is the number of feet in one mile.

Substituting the given values, we get:

drop = 53 x 0.1/100 x 5280

= 279.84 feet

Therefore, the drop at the end destination of the aqueduct is 279.84 feet.

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No,Sarah would have 16 small stones and 14 large stones on the sixth day, since it's +4 small stones and +3 large stones per day. You must show your working if you want the marks. Best of luck!

205 lbs is approximately equal to 92.9864 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

205 lbs =  0.453592 × 205

Multiply the numbers

= 92.9864 kg ( rounded to four decimal places )

Therefore, 205 lbs is 92.9864 kg

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The fraction of the value given as 125% can be expressed by the term of  125% = 5/4.

A ratio in which the total value is always 100 is a ratio, and a percentage is a portion of that ratio.

To represent a portion of a whole, we utilise fractions. Now, we must translate a percentage to a fraction.

Use the instructions below to convert 125% to a fraction:

First, add the percent sign.

Divide the supplied percentage by 100 to express it as a fraction.

As a result, we can write as 125/100.

To simplify the fraction, divide the numerator and denominator by their respective HCFs.

Now, 125 percent can be expressed as 125/100.

When the given fraction is simplified, we obtain

[Dividing the numerator and denominator by their HCF, which is 25]: 125/100 = 5/ 4

Hence, the fraction of 125% is 5/4.

Using a percent to fraction calculator is another way to confirm.

Hence, the fraction of 125% is 5/4.

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Answer:

13

Step-by-step explanation:

943.50 + 31.50x = 1353

This is in the form y=mx+b.

To isolate for x, move 943.50 to the other side and subtract it from 1353.

31.50x = 409.50

now, divide by 31.50 to get x by itself.

x =13

The team can bring 13 players to the tournament.

Answer:

Printer B, because the approximate rate of Printer A, $0.27 per page, is greater than the approximate rate of Printer B, $0.25 per page

Step-by-step explanation:

Rate of cost for printer A = $26.99/100 pages
= $ 0.2699 ≈ $0.27 per page

Rate of cost for printer B = $67.99/275 pages

=$ 0.2472 ≈ $0.25 per page

0.25 < 0.27

So Printer B has the better rate of cost

Answer:Printer B, because the approximate rate of Printer A, $0.27 per page, is greater than the approximate rate of Printer B, $0.25 per page

Step-by-step explanation:

A. Two equivalent expressions that represent the new average are x = v - 0.12v and x = 0.88v.

B. Another way to find the new average directly using:

x = 0.88v (using the second expression )

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represent a value or a relationship between values. Expressions can be as simple as a single number, variable, or symbol, or they can be complex combinations of terms, functions, and operations.

For example, the expression "2x + 3" is a combination of the number 2, the variable x, and the operators + and *. It represents a relationship between x and a value that is 3 more than twice x.

Expressions can be used in a wide range of mathematical contexts, including algebra, calculus, geometry, and statistics, to name a few. They are an essential tool for describing and solving mathematical problems.

A. Let x be the new acreage after the sale. Then we have:

x = v - 0.12v (12% decrease means 0.12v decrease from v)

x = 0.88v (Simplify by factoring out v)

So, two equivalent expressions that represent the new average are x = v - 0.12v and x = 0.88v.

B. Another way to find the new acreage is to multiply the original acreage by the decimal equivalent of the percent decrease. In this case, the percent decrease is 12%, which is equivalent to 0.12 as a decimal. So, we have:

x = v - 0.12v (using the first expression above)

x = 0.88v (simplify)

x = (1 - 0.12)v (factor out v)

x = 0.88v (simplify)

Alternatively, we can calculate the new average directly using:

x = 0.88v (using the second expression above)

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Answer:A.Two equivalent expressions that represent the new average are x = v - 0.12v and x = 0.88v.B.Another way to find the new average directly using:x = 0.88v (using the second expression )What is expression ?In mathematics, an expression is a combination of numbers, symbols, and/or operators that represent a value or a relationship between values. Expressions can be as simple as a single number, variable, or symbol, or they can be complex combinations of terms, functions, and operations.For example, the expression "2x + 3" is a combination of the number 2, the variable x, and the operators + and *. It represents a relationship between x and a value that is 3 more than twice x.Expressions can be used in a wide range of mathematical contexts, including algebra, calculus, geometry, and statistics, to name a few. They are an essential tool for describing and solving mathematical problems.A. Let x be the new acreage after the sale. Then we have:x = v - 0.12v (12% decrease means 0.12v decrease from v)x = 0.88v (Simplify by factoring out v)So, two equivalent expressions that represent the new average are x = v - 0.12v and x = 0.88v.B. Another way to find the new acreage is to multiply the original acreage by the decimal equivalent of the percent decrease. In this case, the percent decrease is 12%, which is equivalent to 0.12 as a decimal. So, we have:x = v - 0.12v (using the first expression above)x = 0.88v (simplify)x = (1 - 0.12)v (factor out v)x = 0.88v (simplify)Alternatively, we can calculate the new average directly using:x = 0.88v (using the second expression above)

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Knowing that two bouquets of flowers and candies are bought, leaving 21.10, the money at the beginning of the purchase is $266.85.

To find out how much money she had in the beginning, we can use the following equation:
Starting money - (bouquets cost + candies cost) = money left

Let's plug in the given values:
Starting money - ((2 x 121.75) + (2.25 x candies)) = 21.10

Simplifying the equation, we get:
Starting money - (243.50 + 2.25 x candies) = 21.10

Now, we can rearrange the equation to solve for the starting money:
Starting money = 21.10 + 243.50 + 2.25 x candies

If we plug in the given values, we get:
Starting money = 21.10 + 243.50 + 2.25 x candies
Starting money = 266.85

Therefore, Arunima had a total of $266.85 in the beginning.

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Although both grains and grams are weight-measuring units, they are not interchangeable.

The weight of gunshots, arrows, and gunpowder is often measured in the United States using a unit of mass called a grain. A grain weighs around 0.06479891 grams.

In contrast, a gram is a mass unit in the International System of Units (SI) that is often employed in scientific and practical contexts. There are 15.4323584 grains in one gram.

You may multiply the total number of grains by 0.06479891 to convert grains to grams. If you have 500 grains, for instance, you would convert them to grams as follows: 500 grains x 0.06479891 grams per grain = 32.399455 grams.

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(a) There are 220 different boxed sets possible.

(b) here are 2184 different schedules possible for Rashid's vacation.

(a)

To calculate the number of different boxed sets possible, use the combination formula. In this case, choose 9 albums out of 12, and the order of the albums in the boxed set doesn't matter.

The number of combinations of n items taken r at a time is given by the formula:

C(n, r) = n! / (r! × (n - r)!)

In this case, to find C(12, 9):

C(12, 9) = 12! / (9! × (12 - 9)!)

C(12, 9) = 12! / (9! × 3!)

C(12, 9) = (12 × 11 × 10) / (3 × 2 × 1)

C(12, 9) = 220

(b)

To calculate the number of different schedules Rashid can make for his vacation, count the number of ways chosen 3 cities out of 14 for each day of the week.

For Monday, choose one city out of 14.

For Tuesday, choose one city out of the remaining 13 .

For Wednesday, choose one city out of the remaining 12 .

Total number of schedules = 14 × 13 × 12 = 2184

So, there are 220 different boxed sets possible and there are 2184 different schedules possible for Rashid's vacation.

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Answer:

115m

Step-by-step explanation:

Given

In TriangleXYZ

XZ = 23m

ZY = 19m

In TriangleXVW

WV = 95m

Solution

In Triangles XYZ and XVW

AngleWXV = AngleYXZ as they are Vertically Opposite Angles

AngleXWV = AngleXZY as they are Alternate Angles

Therefore TriangleXYZ and TriangleXVW are Similar Triangles

So,

XY/XV = YZ/VW = XZ/XW as they are Corresponding Sides of Similar Triangles

So,

XZ/XW = YZ/VW

or

23/XW = 19/95

23/XW = 1/5

XW = 23 × 5

XW = 115m

Therefore the distance WX is 115m

Josiah invested $96,000 in an account paying an interest rate of 3.5% compounded continuously. Assuming no deposits or withdrawals are made, the value of the account will reach $153,400 after 9 years.

To calculate this, we can use the formula for the future value of a single sum invested with an inverted interest rate compounded continuously.

Future Value = Present Value × (1 + r)n

Where:

We can solve for n to find out how many years it will take to reach $153,400.

153,400 = 96,000 × (1 + 0.035)n

153,400/96,000 = (1 + 0.035)n

Taking the natural log of both sides and simplifying:

ln(153,400/96,000) = n × ln(1.035)

n = ln(153,400/96,000)/ln(1.035)

n ≈ 8.99

To the nearest year, it will take 9 years for the value of the account to reach $153,400.

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The amount of wrapping paper use to wrap the rectangular gift box is 292 ft².

The surface area of a rectangular prism is expressed as;

S.A = 2( wl + hl + hw )

Given the data in the diagram;

Plug the values into the above formula and find the surface area.

S.A = 2( wl + hl + hw )

S.A = 2( (6×8) + (7×8) + (7×6) )

S.A = 2( 48 + 56 + 42 )

S.A = 2( 146 )

S.A = 292 ft²

Therefore, the surface area of the right rectangular prism is 292 ft².

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24 centimeter is approximately equal to 9.4488 inches ( rounded to four decimal places )

To convert 24 cm to inches, we can use the following formula:

1 cm = 0.393701 inches

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in inches = conversion factor × The length in centimeter

Substitute the values in the equation

24 cm = 24 x 0.393701

Multiply the numbers

= 9.4488 inches ( rounded to four decimal places )

Therefore, 24 centimeter is 9.4488 inches

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The fraction n/8 is between 4/5 and 1. To calculate all the possible values of n, use the following equation:  n = (4/5)*8 = 6.4

Since n is a fraction, the possible values are 6, 6.4, 6.8, 7.2, 7.6, 8, and 8.4.
The possible values of n for the fraction n/8 to be between 1/2 and 4/5 are 5, 6, and 7.

To find the possible values of n, we can cross-multiply and compare the fractions.

1/2 < n/8 < 4/5

Cross-multiplying gives us:

8 < 2n < 32

Dividing by 2 gives us:

4 < n < 16

The possible values of n are the integers between 4 and 16, which are 5, 6, and 7.

Therefore, the possible values of n for the fraction n/8 to be between 1/2 and 4/5 are 5, 6, and 7.

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To find a radical expression, simplify the expression under the radical symbol by factoring it into perfect squares or cubes.

An extreme articulation is a logarithmic articulation that contains an extreme image, for example, a square root or a 3D shape root. To find an extreme articulation, you really want to improve on the articulation under the extreme image.

Here are the moves toward work on an extreme articulation:

Factor the number under the extreme image into its excellent variables.

Recognize sets of variables that are amazing squares or wonderful blocks.

Change the extreme articulation utilizing these ideal squares or wonderful 3D shapes.

Improve on the subsequent articulation by duplicating or separating terms as required.

In the event that the articulation actually contains an extreme image, rehash the cycle until the articulation is completely streamlined.

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Answer:

Step-by-step explanation: 40% you take the 10 salmon plates and divide it by the 25 specials the restaurant had 10/25=.40

The following is a graph that illustrates the inequality system: (B) The graph displays a solid line with shading below it that goes through the points 0 commas 2, and 1 comma negative 3.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other.

Hence, inequality emerges from a lack of balance.

A mathematical statement that demonstrates the equality of two expressions is known as an equation, whereas a statement that demonstrates the greater or smaller value of one expression is known as an inequality.

For writing and comprehending an inequality plotted on a graph, there are two (2) main rules in mathematics, and these are as follows:

1. When the inequality symbol is (or), the line on a graph should be solid.

2. When the inequality symbol is (> or ), the line on a graph should be dashed (dotted).

The boundary line is dashed (dotted) and shaded above to indicate that the boundary is not part of the solution, and this must be indicated with the larger than (>) inequality sign.

Moreover, the y-value for this inequality graph meets the x-axis at -1.5.

Therefore, the following is a graph that illustrates the inequality system: (B) The graph displays a solid line with shading below it that goes through the points 0 commas 2, and 1 comma negative 3..

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Complete question:

The following inequalities represent a system.

y ≥ −5x + 2

y > 3x − 1.5

Which of the following graphs represents the system?

A. The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading above the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading above the line.

B. The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading below the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading above the line.

C. The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading above the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading below the line.

D> The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading below the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading below the line.

In metric system speed measured by using kilometres per hour and miles per hour units. Thus, the conversion of 180 miles per hour is equals to the 289.68192 kmh.

To convert from one unit of measure to another, multiply by the conversion factor. Speed is defined as the distance an object travels per unit time. This is a scalar value. Some speed units are miles per hour, cm/h, km/h, etc. Miles per hour is a commonly used unit of speed in the United States. That's exactly 1.609344 kilometers per hour. Kilometers per hour, kmh is a unit of speed. Moving at 1 kilometer per hour is moving at about 0.278 meters per second or about 0.621 miles per hour. A value of 180 miles per hour must be defined in kilometers per hour. So 1 mph = 1.609344 kmh

180 mph = 180×1.609344 kmh

= 289.68192 kmh.

Hence, required value is 289.68192 kmh.

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The corresponding output value is y = -2 when x = 3 in the equation y = x - 5.

Given the equation in the question;

y = x - 5

Input value x = 3

Output value y = ?

The equation given is y = x - 5.

This equation is in the form y = f(x), which means that given an input value x, we can find the corresponding output value y.

In this case, we are given an input value of x = 3 and we need to find the corresponding output value y.

To do this, we simply substitute x = 3 into the equation and solve for y:

y = x - 5

Plug in x = 3

y = 3 - 5

y = -2

Therefore, when x = 3, the corresponding output value is y = -2.

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15/32 inches is equivalent to 11.90625 mm

Unit conversion is the process of converting a quantity from one unit of measurement to another. The unit conversion method involves multiplying the original quantity by a conversion factor that expresses the relationship between the original unit and the desired unit.

1 inch =  25.4 mm

1 mm = 0.1 cm

We have 15/32 inch

Converting the fraction into decimal part, we obtain 0.46875 inch

Now, 0.46875 inch = 0.46875 * 25.4 mm

                                 = 11.90625 mm

                                 = 11.90625 * 0.1 cm                

                                  = 1.190625 cm

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Answer:

A

Step-by-step explanation:

P = 4 pi I r^2    solve for I      Divide both sides by 4 pi r^2

to get

I = P / (4 pi r^2)

The given statement that you can compare two marginal distributions to see if the corresponding two variables are related is false.

In probability theory and statistics, the probability distribution of the variables included in a subset is the marginal distribution of a subset of a collection of random variables. Without taking into account the values of the other variables, it provides the probabilities of different values for each variable in the subset.

Hence, to determine whether the relevant two variables are connected, you cannot compare two marginal distributions.

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The Click-O Pen Company produced a total of 7.2×106 pencils during those 4 years.

What is the arithmetic operations?

The basic arithmetic operations are the fundamental mathematical operations used in arithmetic, which include:

To find the total number of pencils produced by the Click-O Pen Company during the 4 years, we need to multiply the number of pencils produced each year by the number of years.

We are given that the company produced 1.8×106 pencils each year for 4 years. Therefore, the total number of pencils produced is:

1.8×106 pencils/year × 4 years = 7.2×106 pencils

Hence, the Click-O Pen Company produced a total of 7.2×106 pencils during those 4 years.

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Answer:

The Click-O Pen Company produced 1.8 x 10^6 pencils each year for 4 years.

To find the total number of pencils produced during those 4 years, we need to multiply the number of pencils produced per year by the number of years:

Total number of pencils produced = (1.8 x 10^6) x 4

= 7.2 x 10^6

Therefore, the Click-O Pen Company produced a total of 7.2 million pencils during those 4 years.

Step-by-step explanation:

Start by identifying the number of pencils produced each year by the Click-O Pen Company. According to the problem statement, the company produced 1.8 x 106 pencils per year.

Next, determine how many years the company produced pencils for. In this case, we know that the company produced pencils for 4 years.

To calculate the total number of pencils produced during those 4 years, we need to multiply the number of pencils produced per year by the number of years. This gives us:

Total number of pencils = 1.8 x 106 pencils/year x 4 years

We can simplify this expression by multiplying 1.8 x 4 to get:

Total number of pencils = 7.2 x 106 pencils

Therefore, the Click-O Pen Company produced a total of 7.2 x 106 pencils during the 4-year period.