The required value of the C in the algebraic measure of the angles is 61.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
here,
The property of the triangle states that the sum of the remote interior angles is equal to the exterior angle,
So, adding c - 18 and c -15 will be equal to c +28
c - 18 + c - 15 = c + 28
c = 28 + 33
c = 61
Thus, the required value of the C in the algebraic measure of the angles is 61.
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Train A leaves the stations at 9:00 and travels at 60 miles an hour . Train B leaves at station at 9:15 at 75 miles an hour. Which train will be farther from the station at 10:00?
Answer:
the train B because when you add 9:15 time to 75 miles its result is 10:00 mean 100%
Which graph represents y as a function of x?
Answer:
A is the only function because it passes the vertical line test. 1 x may only have 1 y
Step-by-step explanation:
In a certain Algebra 2 class of 26 students, 6 of them play basketball and 15 of them play baseball. There are 9 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
23% chance
Step-by-step explanation:
There are a total of 26 students in the class, and 6 of them play basketball and 15 of them play baseball. This means that there are 6 + 15 - 9 = 12 students who play either basketball or baseball, and 9 students who play neither.
Of the 12 students who play either basketball or baseball, 6 of them play basketball and 15 of them play baseball, so there are 6 students who play both basketball and baseball. This means that the probability that a student chosen randomly from the class plays both sports is 6 / 26 = 0.23, or 23%.
What angle is angle x? It needs the rules of parallel lines to solve
Answer:
Step-by-step explanation:
all internal angles in a triangle add to 180 degrees.
77+36=113
180-113=67
we know that the final angle in the triangle is 67 degrees
the left parallel line makes another triangle in the bottom left. we know that one angle is 41 and we just calculated that the other is 67.
41+67=108
180-108=72
so now we know that the small triangle in the bottom left has angles of 41,67 and 72.
all straight lines are 180 degrees, and we just figures out that the left side of the left parallel line is 72 degrees. therefore the other side is 108 degrees.
since they are parallel lines, the left angle of both of them on the bottom line is 72, while the right angle is 108.
this means that x=108 degrees
i hope this is right and it helps if it is correct. really sorry if it is wrong. have a good day :)
11-4 skills practice areas of regular polygons and composite figures answers
The 11-4 skills practice areas of regular polygons and composite figures involve finding the areas of different geometric shapes using specific formulas and methods.
To find the area of regular polygons, you can use the formula (1/2) x apothem x perimeter.
For composite figures, you can break the shape into smaller, more manageable shapes like rectangles, triangles, or circles, and then calculate the area of each component before adding them together.
Hence, The 11-4 skills practice areas of regular polygons and composite figures teach you to find areas using the appropriate formulas and methods, improving your geometry understanding and problem-solving abilities.
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For numbers less than 0. 1, such as 0. 06, the zeros to the right of the decimal point but before the first nonzero digit.
For numbers less than 0.1, such as 0.06, the zeros to the right of the decimal point but before the first nonzero digit are called leading zeros.
When we have a decimal number less than 0.1, there may be one or more zeros between the decimal point and the first nonzero digit. These zeros are known as leading zeros. In the example of 0.06, the zero before the 6 is a leading zero. It indicates that the number is less than 0.1 but greater than 0.01. The leading zero helps establish the position of the decimal point and provides clarity about the magnitude of the number.
Leading zeros are significant in decimal notation because they affect the place value of the digits. Each leading zero shifts the decimal point one place to the right, indicating a smaller value.
It's important to recognize and include leading zeros when working with decimal numbers to maintain accuracy and precision. They contribute to the overall value and understanding of the number's magnitude, especially when comparing and performing calculations involving decimal quantities.
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10. A medium pizza at Danny's Pizza costs $13.60 plus $2.50 for each topping. At Nicki's Pizza, a medium pizza costs $14.60 plus $2 for each topping. Which statement is true regarding the price of a medium pizza at the two pizza restaurants?
Answer:
D
Step-by-step explanation:
What is the missing coefficient?
(15x^2 +11y^2 +8x)-(7x^2+5y2 +2x) =
?x^2+6y^2+6x
•4
•8
•10
•22
Answer:
8
Step-by-step explanation:
The missing coefficient in the expression is 8.
Option B is the correct answer.
We have,
The given expression is:
(15x^2 + 11y^2 + 8x) - (7x^2 + 5y^2 + 2x)
Simplifying the expression by combining like terms, we get:
= 15x^2 + 11y^2 + 8x - 7x^2 - 5y^2 - 2x
= (15x^2 - 7x^2) + (11y^2 - 5y^2) + (8x - 2x)
= 8x^2 + 6y^2 + 6x
The coefficient of x^2 is 8.
Thus,
The missing coefficient is 8.
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– Brittney can spend no more than $15 for new fish in her aquarium.
a. Let f be the number of fish she can buy.
What inequality represents the problem?
Answer:
5 fishes
Step-by-step explanation:
Helppp pls asappp simple math
Answer:
D. reflection over the y-axis.
Step-by-step explanation:
Reflections are the samere same shapes, but mirrored and over a certain axis (x or y axis). In this case, we see a reflection over the y-axis.
The estimation of the population average family expenditure on entertainment on the sample average expenditure of 900 families is an example of
The estimation of the population average family expenditure on entertainment on the sample average expenditure of 900 families is an example of inferential statistics.
Inferential statistics is a branch of statistics that helps in understanding the relationship between a sample and the population. It involves using sample data to make predictions, inferences, and decisions about a population. The estimation of the population average family expenditure on entertainment on the sample average expenditure of 900 families involves estimating the population parameters based on a sample. Here, we are using the sample mean of 900 families to estimate the population mean. This is an example of inferential statistics since we are trying to infer information about the population based on the sample. In conclusion, estimating the population average family expenditure on entertainment based on the sample average expenditure of 900 families is an example of inferential statistics.
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Which representation has the same rate of change of y with respect to x as the equation x 2y = 6?
The slope of all the given options are equal and it is equal to slope of given equation .
What is slope?
A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. We shall comprehend the slope-finding method and its applications in this essay.
Given
Equation of a given line is x+2 y=6
Lets find out slope m by writing the equation in \($y= \mathbf{m}+\mathbf{b}$\) form
\($$\begin{aligned}& x+2 y=6 \\& 2 y=-x+6 \\& y=\frac{-1}{2} x+6\end{aligned}$$\)
The slope of the line is \($\frac{-1}{2}$\)
Now we find slope of each option using formula \($m=\frac{y_2-y_1}{x_2-x_1}$\)
Lets pick two points from the graph to find out slope
Pick (0,3) and (6,0)
\($$\begin{aligned}& m=\frac{y_2-y_1}{x_2-x_1} \\& m=\frac{0-3}{6-0}=\frac{-1}{2}\end{aligned}$$\)
Now pick two points from option \($\mathbf{B}$\) to find slope
(-10,-3) and (0,-8)
\(m=\frac{-8+3}{0+10}=\frac{-1}{2}$$\)
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a club consisting of men and women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. the committee could have as few as member or as many as members. let be the number of such committees that can be formed. find the sum of the prime numbers that divide .
The sum of the prime numbers that divide N the number of such committees that can be formed is 81
In this question we have been given a club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee.
The committee could have as few as 1 member or as many as 23 members.
Let N be the number of such committees that can be formed.
We need to find the sum of the prime numbers that divide N.
Let m be the number of women selected.
So, the number of men not selected would be:
11 - (m - 1) = 12 - m
Each combination of women selected and men not selected corresponds to a committee selection.
Since choosing 12 individuals from the total of 23 would give m women and 12 - m men, the number of committee selections :
using combination formula,
N = 23C12
N = 23!/12!(23 - 12)!
N = 1352078
The prime factors of 1352078 are: 2, 7, 13, 17, 19, 23
So, the sum of the prime numbers would be,
2 + 7 + 13 + 17 + 19 + 23 = 81
Therefore, the sum of the prime numbers = 81
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The complete question is:
A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have as few as 1 member or as many as 23 members. Let N be the number of such committees that can be formed. Find the sum of the prime numbers that divide N.
given a sampling distribution of the sample mean that is normally distributed and has a mean of 30 and a standard deviation of 8 a sample mean of 40 corresponds to group of answer choices a z value of 1.25 a z value of 1.25 a z value of 2.25 a sample size of 120 a sample size of 300
The value is a z value of 5, which corresponds to a very unlikely sample mean given the mean and standard deviation of the population, which is not given in any of the options.
Based on the given information, we can assume that we have a normal distribution of sample means. This distribution is called the sampling distribution, and it represents all possible sample means that could be obtained from the same population.
The mean of the sampling distribution is the same as the population mean, which is 30 in this case. The standard deviation of the sampling distribution is calculated by dividing the population standard deviation by the square root of the sample size. Therefore, we have:
Standard deviation of sampling distribution = 8 / sqrt(n)
We don't know the sample size (n) in this case, so we cannot calculate the exact standard deviation of the sampling distribution. However, we do know that a sample mean of 40 corresponds to a z value of:
z = (sample mean - population mean) / (standard deviation / sqrt(n))
We can rearrange this formula to solve for the sample size (n):
n = (standard deviation / (sample mean - population mean)) ^ 2
Plugging in the given values, we get:
n = (8 / (40 - 30)) ^ 2 = 64
Therefore, a sample mean of 40 corresponds to a sample size of 64. The corresponding z value can be calculated using the formula:
z = (sample mean - population mean) / (standard deviation / sqrt(n))
z = (40 - 30) / (8 / sqrt(64)) = 5
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The recipe calls for 1 1/2 lbs. of ground beef. how much ground beef will jenny need to make enough meat loaf for everyone?
Total amount of ground beef is 7.5 lbs
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
a) The recipe for the meat loaf used by Jenny can serve a total of 8 people.
Total people = 40
Number of each ingredient
= 40 / 8
= 5
b) As, recipe contains 1 1/2 lb (1.5 lbs) of ground beef,
So, Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs
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Your question is incomplete, probably the complete question/missing part is:
Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions:
• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5
• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?
Find the 26th term of an arithmetic sequence with \large a_1=-33 and \large d=4. a-130 b71 c-129 d67
Tn = a + ( n- 1 ) d
T 26 = -33 + ( 26 - 1 ) 4
T 26 = -33 + ( 25 x 4 )
= -33 + 100
= 67.............. Option D
Write the equation of the line that passes through (−2, 6) and (2, 14) in slope-intercept form.
y = 2x − 2
y = 2x + 10
y = 0.5x + 7
y = 0.5x − 4
Answer:
y = 2x + 10
Step-by-step explanation:
(-2,6) and (2,14)
Slope = (14-6)/2- - 2)
= 8/4 = 2
b = 6 - (2)(-2)
= 6 + 4 = 10
PLSSS HELP ANSWER THESE QUESTIONS! WORTH 35 POINTS WILL GIVE BRIANLIEST IF ANWRS ARE CORRECT!
For which value of x do following expressions make sense?
THE FOLLOWING QUESTION HAVE TO BE ANWERED AS X IS LE THAN OR GREATER THAN WHATEVER THE ANWER IS
43a) √x+5 40a) ∛a 44b) √(-5x)^3 47e) √13-(13-2x)
THE NEXT COUPLE OF QUETION HAVE TO ANWERED AS X = WHATEVER THE ANSWER IS.
43b) √|x| + 1 44a) √(-2x)^2
45a) √x-5 = 3 The root is only over x-5
45b) √2x+4 = 2 the root is only over 2x+ 4
45c) √x(x+1) = 0 root is only over x(x+1)
45d) √x+5 = -1 the root is only over x+5
45e) √x + x^2 = 0 the root is only over x
42d) root 5 over x+3 = 17 1
9e) root 4 over x = 1 THE ANSWER IS NOT 1
19f) ∛x - 2 = 0 the root is only over x
THE FOLLOWING QUESTIONS HAVE NUMERICAL ANSWERS
9a) root 0.6 over 36 9h) root (4-10) over 0.01
The values of the variables and numbers in radical form are presented as follows;
43a) x > -5
40a) a > 0
44b) x < 0
47e) x > 0
43b) x = The set of all real numbers
44a) The set of all numbers
45 a) x = 14
45 b) x = 0
45 c) x = -1
45 d) x = -4
45 e) x = 1
42 d)x = 5/196
9 e) x = 4
9 f) x = 8
9 a) √(0.6/36) ≈ 0.13
9 h) √((4 - 10)/(0.01)) = i·10·√6
What is a radical expression in mathematics?A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.
43 a) \(\sqrt{x + 5}\)
x + 5 > 0
Therefore, x > -5
40a) ∛a
a > 0
44b) √(-5·x)³
-5·x < 0
x < 0
47e) √(13 - (13 - 2·x))
(13 - (13 - 2·x)) > 0
13 > (13 - 2·x)
0 > -2·x
x > 0
43b) √|x| + 1
x = All real numbers
44 a) √(-2·x)²
√(-2·x)² = -2·x
x = Set of all numbers
45 a) √(x - 5) = 3
(x - 5) = 3² = 9
x = 9 + 5 = 14
45b) √(2·x + 4) = 2
2·x + 4 = 2²
2·x = 2² - 4 = 0
x = 0/2 = 0
45c) √(x·(x + 1)) = 0
(x·(x + 1)) = 0
(x + 1) = 0
x = -1
45 d) √(x + 5) = -1
(x + 5) = (-1)²
x + 5 = 1
x + 5 = 1
x = 1 - 5 = -4
x = -4
45e) √x + x² = 0
√x = -x²
(√x)² = (-x²)² = x⁴
x = x⁴
1 = x⁴ ÷ x = x³
x = ∛1 = 1
x = 1
42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)
\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)
\(\dfrac{5}{x} }=14^2=196\)
\(x = \dfrac{5}{196}\)
9e) \(\sqrt{\dfrac{4}{x} } = 1\)
\(\dfrac{4}{x} } = 1^2\)
x × 1² = 4
x = 4
19f) ∛x - 2 = 0
∛x = 2
x = 2³ = 8
9a) \(\sqrt{\dfrac{0.6}{36} }\)
\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)
9h) \(\sqrt{\dfrac{4-10}{0.01} }\)
\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6
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please help me with this work
Answer:
Here is question number one's perimeter and area.
The points you are giving are really low so I will just do one
An object is moving at a speed of g kilometers every 6.5 years. Express this speed in inches per day. Round your answer to the nearest whole number. Note: you must use these exact conversion factors to get this question right. Distance/ length 1 foot (ft) = 12 inches (in) 1 yard (yd) =3 feet (ft) 1 mile (mi) = 528o feet (ft) 1 meter (m) = 100 centimeters (cm) 1 kilometer (km) = 1000 meters (m) 1 inch (in) = 2.54 centimeters (cm) 1 foot (ft) = 0.305 meters (m) 1 mile (mi) = 1.60g kilometers (km) Time 1 minute (min) 60 seconds (sec) 1 hour (hr) = 60 minutes (min) 1 day (day) = 24 hours (hr) 1 week (week) =7 days (days) 1 month (month) = 30 days (days) 1 year (year) 365 days (days)
find the first four terms of the taylor series for the function 2x about the point a=1. (your answers should include the variable x when appropriate.)
The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).
What are the initial terms of the Taylor series expansion for (2x) centered at (a=1)?To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:
\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)
Let's calculate the first four terms:
Starting with the first term, we substitute
\(\(f(a) = f(1) = 2(1) = 2x\)\)
For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).
\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)
\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)
Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)
Since the second derivative is zero, the third term is zero.
Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)
Similarly, the fourth term is also zero.
Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:
(2x + 2x - 2)
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a. If the pediatrician wants to use height to predict head circumference dete variable is the explanatory variable and which is response variable. b. Draw a scatter diagram of the data. Draw the best fit line on the scatter diagram . d. Does this scatter diagram show a positive negative, or no relationship between a child's height and the head circumference ?
If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.
What is the equation to calculate the area of a circle?In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.
The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.
To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.
Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.
By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.
If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.
If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.
By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.
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If false, give a reason.if we know the first and second terms of an arithmetic sequence, then we can find any other term.
a. True
b. False
The correct option is a. True.
If we know the first and second terms of an arithmetic sequence, then we can find any other term. is a true statement.
What is arithmetic sequence?An arithmetic sequence would be the sequence in which the common difference between any two succeeding terms remains constant. Let us review what a sequence is.
A sequence is a pattern-following collection of numbers. A sequence 1, 6, 11, 16,..., for example, would be an arithmetic sequence since each number is formed by addition 5 to its previous term. We have two formulas for arithmetic sequences.The formula for determining the nth term in an arithmetic sequence.The formula for calculating the sum of an arithmetic sequence's first n termsOne can employ the arithmetic sequence method to discover any term inside the arithmetic sequence.An arithmetic sequence's first term is a, whose common difference is d, and n represents the number of terms. The AP's general form is a, a+d, a+2d, a+3d, and so on up to n terms.To know more about arithmetic sequence, here
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How do you do long division? I've learned it before - but forgot. - ' ' .
Kim was asked to explain to her friends how to solve 3x? - 2x = 1. She will be using the quadratic formula. What would be the first step?
find the measure of the indicated angle
Answer:
Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.
Step-by-step explanation:
9. Every school day, Mr. Beal asks a randomly selected student to complete a homework problem on the board. If the selected student received a "B" or higher on the last test, the student may use a "pass," and a different student will be selected instead.
Suppose that on one particular day, the following is true of Mr. Beal’s students:
18 of 43 students have completed the homework assignment;
9 students have a pass they can use; and
7 students have a pass and have completed the assignment.
What is the probability that the first student Mr. Beal selects has a pass or has completed the homework assignment? Write your answer in percent.
The probability that the first student Mr. Beal selects has a pass or has completed the homework assignment is approximately 46.51%.
To find the probability that the first student Mr. Beal selects has a pass or has completed the homework assignment, we need to calculate the proportion of students who have a pass or have completed the assignment out of the total number of students.
Given the following information:
Total number of students: 43
Number of students who have completed the homework assignment: 18
Number of students who have a pass: 9
Number of students who have a pass and have completed the assignment: 7
To calculate the probability, we can add the number of students who have a pass (9) to the number of students who have completed the assignment (18), and subtract the number of students who have a pass and have completed the assignment (7), as we don't want to count them twice. Then, we divide the result by the total number of students (43).
Probability = (Number of students with a pass + Number of students who have completed the assignment - Number of students with a pass and have completed the assignment) / Total number of students
Probability = (9 + 18 - 7) / 43
Probability = 20 / 43
To express the probability as a percentage, we multiply the result by 100:
Probability = (20 / 43) × 100 ≈ 46.51%
Therefore, the probability that the first student Mr. Beal selects has a pass or has completed the homework assignment is approximately 46.51%.
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Please explain why "10" is considered a polynomial but
1/4 is not.
Answer:
Neither are polynomials because polynomials have more than 2 terms
Step-by-step explanation:
Answer: 10 is a polynomial because the power of x is 0, which is a whole number.
Step-by-step explanation: Sorry that's all I got. I hoped that helped you find why 1/4 is not a polynomial.
At a farmers’ market, 4 apples can be purchased for $3.00. What is the unit price of an apple at the farmers’ market?
Answer:
The unit price of the apples is $0.75
Step-by-step explanation:
Divide the total price by the number of items.
A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0.50, while each cylindrical container costs $0.75.
Which packaging should the company use to minimize cost? Explain.
The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $2.50 less than using the rectangular boxes.
The rectangular prism boxes should be used because they will cost the company $5.00 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $5.00 less than using the rectangular boxes.
The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers. (option A).
Which box should be used?The first step is to determine the number of each type of box shape that would be needed for the pencils.
Number of rectangular prism boxes that would be needed = total number of pencils / capacity of the box
Number of rectangular prism boxes that would be needed = 2400 / 60 = 40 boxes
Number of cylindrical boxes that would be needed = total number of pencils / capacity of the box
Number of cylindrical boxes that would be needed = 2400 / 80 = 30
Now determine the total cost of using each type of box shape.
Total cost of using the cylindrical boxes = 30 x 0.75 = $22.50
Total cost of using the rectangular prism boxes = 40 x 0.50 = $20
Difference in cost = $22.50 - $20 = $2.50
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Answer:
^^ A on edge
Step-by-step explanation: