A company makes paper labels for paint cans. As shown below, each can is in the shape of a cylinder with a height of 6in and a diameter of 6in. The paper label is wrapped around the can and covers only the side of the can (not the top or bottom). If the company has a total of 5312.88in2 of paper available, how many labels can be made? Use 3.14 for π, and do not round your answer.

Answers

Answer 1

Answer:

Answer: 4,772.8 cm2

Step-by-step explanation:

The company will need 3,583.2 square inches of paper to make 15 labels.

What is cylinder?

Traditionally, a cylinder was a three-dimensional solid, one of the most fundamental curvilinear geometric shapes. It is a prism with a circle as its base in elementary geometry.

The formula for circumference is:

Circumference = π × diameter

Circumference = 3.14 × 8in

Circumference = 25.12in

So the label will need to be 25.12 inches long.

The height of the label will be the same as the height of the can, which is 9 inches.

To find the total area of the paper needed for 15 labels, we need to multiply the length of each label by its height and then multiply that by the number of labels:

Total area = length × height × number of labels

Total area = 25.12in × 9in × 15

Total area = 3,583.2 square inches

Thus, the answer is 3,583.2 square inches.

For more details regarding cylinder


Related Questions

Joe is looking for the best deal on an electric stove that has a wholesale price of $629. Help him compare the price of the
electric stove at two different stores by completing the following.
(a) Joe goes to a superstore that marks up the electric stove's wholesale price 10%. Ignoring tax, how much would he
pay for the electric stove at this store?
$0
(b)
Joe then looks at the electric stove in a department store that marks up the electric stove's wholesale price 30%.
But because of a customer loyalty program, he would receive a 20% discount off the in-store price. Ignoring tax,
how much would he pay for the electric stove at this store?
$0
(C)
Select the true statement.
O Joe would pay less for the electric stove at the superstore.
O Joe would pay less for the electric stove at the department store.
O Joe would pay the same amount for the electric stove at the department store and at the superstore.

Answers

Answer: x times 3

Step-by-step explanation:

marks up the electric stove's wholesale price 10%. Ignoring tax, how much would he

pay for the electric stove at this store?

$0

(b)

Joe then looks at the electric stove in a department store that marks up the electric stove's wholesale price 30%.

But because of a customer loyalty program, he would receive a 20% discount off the in-store price. Ignoring tax,

how much would he pay for the electric stove at this store?

$0

(C)

Select the true statement.

Jon Marc is ordering bark dust for two clients. Each client has a circular flower bed. Jon Marc
knows the radius of one flower bed is 6.5 feet and the diameter of the other is 30 feet. How
many square feet of bark dust should Jon Marc order?

Answers

The total area square feet of bark dust should Jon Marc order is 839.1 square feet.

What is area?

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Here we know that , area of the circle = [tex]\pi r^2[/tex] square unit.

Now radius of one flower bed = 6.5 feet. Then,

Area of the bed = [tex]3.14\times 6.5^2[/tex] = 132.6 square feet,

Now diameter of another bed = 30 feet then,

Radius = 30/2 = 15 feet. Then

Area of the bed  = [tex]3.14\times15^2[/tex] = 706.5 square feet.

Then total square feet of bark dust should Jon Marc order is

=> 132.6 + 706.5 = 839.1 square feet.

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VAT is one of the main source of revenue for the government. Transport industry is exempted from VAT (zero rated). 2.1 Conduct a survey by talking to one taxi driver or owner (the name not to be mentioned) operating between two places (example Mdantsane and East London) by using a neat questionnaire in the form of a table. The questionnaire should contain the following information. The maximum number of people that can be seated in the e taxi, the number of trips in a day, taxi fare, operating time, operating cost, driver's salary and petrol, (ignore wear and tear) total income and total expenses in one day. (15)​

Answers

Most times, questionnaire, which involves list of questions or items. are  used to gather data from respondents about their attitudes, experiences, or opinions. It helps to collect quantitative and/or qualitative information.

Questionnaire for Taxi Driver/Owner Operating between Mdantsane and East London:What is the maximum number of passengers that can be seated in your taxi?How many trips do you typically make in a day between Mdantsane and East London?What is your current taxi fare for a one-way trip between Mdantsane and East London?What are your operating hours on a typical day?What are your daily operating costs, including expenses for petrol, driver's salary, and any other expenses?What is your estimated daily income from operating your taxi between Mdantsane and East London?What are your estimated total expenses for operating your taxi between Mdantsane and East London in one day?

Please provide accurate information to the best of your knowledge. Your personal information will not be disclosed.

Thank you for your participation.

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Help me please 15 points

Answers

In given Histogram, The fraction of shows that was more than half full was 2/3 i.e. C.

What exactly is a histogram?

A histogram is a graphical depiction of numerical data distribution. It entails splitting the data range into intervals or bins and counting how many data points fall into each bin. Bins are often stated as non-overlapping, sequential intervals of a variable. The count or frequency of data points in the respective bin is represented by the height of each bar on the graph. Histograms are often used in statistics to illustrate data distribution and to find trends, outliers, and other data properties.

Now,

Given that

Total shows shown were=3+0+7+10+7+3=30

Show which has more than 150 viewers=1+7+3=20

then,

The fraction of shows that was more than half full =20/30⇒2/3.

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ITS TIMED PLS QUICK A gardener would like to add to their existing garden to make more flowers available for the butterflies that visit the garden. Her current garden is 45 square feet. If she added another rectangular piece with vertices located at (−21, 7), (−23, 7), (−21, 12), and (−23, 12), what is the total area of the garden? FOR 20 POINTS

10 ft2
55 ft2
225 ft2
450 ft2

Answers

Answer:

55ft2

Step-by-step explanation:

Find the area of the added rectangle

-23 - -21 = 2ft

12-7 = 5ft

A=bh = 2ft x 5ft = 10ft^2

add old area and new area

45ft^2 + 10ft^2 = 55ft^2

Answer:

55 ft2

Step-by-step explanation:

Since the x values are -21 and -23, it shows that they are 2 points away from eachother. They y values are 7 and 12 so they are 5 points away from eachother. Multiply 2 x 5 = 10 which is the area of the new garden. Since the old garden is 45 square feet, add 10 + 45 to get 55 square feet total.

Emir, Katherine, Dylan and Anna Who earned enough money to attend the festival?

Answers

Therefore , the solution of the given problem of unitary method comes out to be  able to afford the festival because 120 is larger than 70.

What is an unitary method?

To accomplish the task, one may use this generally accepted ease, preexisting variables, as well as any significant components from the original Diocesan customizable query. If so, there might be an opportunity to interact with the item once more. Otherwise, every significant factor that affects how algorithmic evidence behaves will be gone.

Here,

The following chart allows us to determine each person's earnings:

=> Person 1: 2 hours times $8 per hour  =  $16

=>  Person 2: $4 hours x $8 per hour  =  $32 per person

=>Person  3: 3 hours x $8 per hour = $24 per person.

=> Person 4: 5 hours x $8 per hour  =  $40.

=> Person 5: One hour times $8 per hour equals $8.

Each person needs to bring at least $70 in order to join the festival. As a result, the disparity shown below can be used to describe this circumstance:

=> 16 + 32 + 24 + 40 + 8 ≥ 70

Simplifying the inequality's left side, we obtain:

=> 120 ≥ 70

We can infer that all of the friends were able to afford the festival because 120 is larger than 70.

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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

The answer Choices are:
5-n=x
2(n + 9)
X=n -5
3n/7
2n + 9
(3n)(7)

Answers

Answer:

Step-by-step explanation:

1st box: it mentions "Quotient" meaning divide, if you look at the answer choices only 1 of them has division sign (the fraction one, division can e seen with ÷ or as a fraction)

2nd box: mentions "less" meaning subtract,  there are two answer choices with a subtraction sign, do note subtraction-related word problems are counter intuitive (the opposite of what you would think).  You would think its 5-x since it mentions "5"  then the "n" BUT, if you think it about it, the problem is saying there taking 5 away FROM n, so, its x-5

3rd box: it mentions "sum" meaning addition, and "twice a number" meaning 2n. So, its 2n +9

4th box: it mentions " 2 times the sum of" pay attention to the "of" part because it signifies that the "2" part of this problem is multiplied by a conjunction of two terms. So its 2(n+9)

**you could use your deductive reasoning skills to figure it out. Since the problem mentions addition and since the answer choices leave you with one addition-related answer choice, it has to be 2(n+9)**

5th box: it mentions "product" meaning multiply, also mentions "3 times a number" meaning 3n. So its, (3n)(7)

6th box:  After solving the previous 5 problems, the only answer is 5-n=x, so that's the answer for the 6th box

~lmk if u got Qs

please i need it quick

Answers

Answer:

98 degrees

Step-by-step explanation:

angle 3 and angle 4 are supplementary angles, since they together add up to 180 degrees.

Since we know angle 3, we can subtract that from 180 degrees to find angle 4:

180 - 82 = 98.

Therefore, angle 4 is 98 degrees.

98 because 180 -82 equals 98

1 2 3 4 5 6 7 8 9 10
TIME REMAINING
57:04
Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.

What is the value of a?

5 units
5 and one-third units
6 and two-thirds units
7 units

Answers

Option B. 5 and one-third units. The value of a in triangle XYZ is 5 and two-thirds units. This is found using the Pythagorean theorem twice and solving for a.

To find the value of a, we can use the Pythagorean theorem in triangles WZY and WYX as follows:

In triangle WZY:

[tex]c^2 = 3^2 + (a + 4)^2[/tex]

In triangle WYX:

[tex]b^2 = 4^2 + a^2[/tex]

Since angle ZWX is a right angle, we can use the Pythagorean theorem in triangle ZWX as follows:

[tex]ZWX^2 = ZW^2 + WX^2[/tex]

We know that ZW = c and WX = b, so we have:

[tex]a^2 + b^2 = c^2[/tex]

Substituting[tex]c^2[/tex] in terms of a and simplifying, we get:

[tex]a^2 + b^2 = 25 + (a + 4)^2[/tex]

Expanding and simplifying, we get:

[tex]a^2 + b^2 = a^2 + 8a + 41[/tex]

Subtracting [tex]a^2[/tex] from both sides, we get:

[tex]b^2 = 8a + 41[/tex]

Substituting [tex]b^2[/tex] in terms of a in the equation [tex]a^2 + b^2 = c^2[/tex], we get:

[tex]a^2 + 8a + 41 = c^2[/tex]

Substituting[tex]c^2[/tex] in terms of a from the equation for triangle WZY, we get:

[tex]a^2 + 8a + 41 = 9 + (a + 4)^2/16[/tex]

Expanding and simplifying, we get:

[tex]16a^2 + 128a + 656 = 9a^2 + 50a + 97[/tex]

Simplifying further, we get:

[tex]7a^2 + 78a - 559 = 0[/tex]

Using the quadratic formula, we get:

[tex]a = (-78 ± sqrt(78^2 + 4(7)(559))) / 14[/tex]

a = (-78 ± sqrt(49379)) / 14

Since a represents a length in a triangle, it must be positive. Therefore, we have:

a = (sqrt(49379) - 78) / 14 ≈ 6.67

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Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.

What is the value of a?

A. 5 units

B. 5 and one-third units

C. 6 and two-thirds units

D. 7 units

useing distributive property to write an expression that is equivalent to 6(10I+7)

Answers

Answer:

JEWS = LIES

BLACK PPL(LIKE ME) =TRUTH

:}

Step-by-step explanation:

Simplify: 5x(5) - 2x +3

Answers

Answer:

The answer I got was 23x +3 because I multiplied the two fives together and that gives you 25x then I subtracted the 2x from the 25x and I got 23x and then I just added the +3 to the end of the 23x and that is how I got 23x +3.

Lucy spent 2 1/4 hour riding her bike. She then spent 3 3/4 hour playing video games. How much longer did she spend playing video games then riding her bike​

Answers

Answer: 1 [tex]\frac{1}{2}[/tex]

Step-by-step explanation: Turn the mixed fraction into improper fraction, which is 9/4 and 15/4. Subtract 15/4 and 9/4 to get 3/2. Convert 3/2 into mixed number to get 1 1/2

hope it helps!!

g(x)= 0.5|x+1|. Edit the transformation Function. Use y= +A|x-C| + D

Answers

The transformation of the function G(x) in the form of y = +A| x - C| + D is -

y = 0.5| x + 1| + 0.5

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To write the transformation of the function G(x) = 0.5|x+1| in the form y = +A |x - C| + D, we need to find the values of A, C, and D.

First, let's rewrite the given function in the form of |x - C| -

G(x) = 0.5 | x + 1| = 0.5| x - (-1)|

Comparing with the standard form y = A | x - C| + D, we have -

A = 0.5, C = -1

To find the value of D, we need to substitute a point on the graph of G(x) into the function and solve for D.

Let's use the point (-2, 1) -

G(-2) = 0.5|-2+1| = 0.5

So, we get D = 0.5.

Therefore, the transformation of the function is y = 0.5| x + 1| + 0.5.

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Please help, urgent!!!
If correct, I will mark brainliest.​

Answers

Answer:

perimeter =the circumference around the semicircle

22/7×34/2

=53.43cm

area = (22/7×17^2)/2

454.14cm^2

Answer :

Perimeter of circle = 36 cm Area of circle = 77 cm²

Step-by-step explanation :

Question :

Find the perimeter and area of the semicircle.

Given : Diameter = 14 cm

Radius = 14/2 = 7 cm

Solution :

Perimeter of semicircle = πr + d

[tex]\longrightarrow \: \: \dfrac{22}{7} \times 7 + 14 \\ \\ \longrightarrow \: \: 22 + 14 \\ \\ \longrightarrow \: \: 36 \: cm \\ [/tex]

Area of semicircle = 1/2 πr²

[tex]\longrightarrow \: \: \dfrac{1}{2} \times \dfrac{22}{7} \times {(7)}^{2} \\ \\ \longrightarrow \: \: \frac{22}{14} \times 7 \times 7 \\ \\ \longrightarrow \: \: \frac{1078}{14} \\ \\ \longrightarrow \: \: 77 \: {cm}^{2} \\ \\ [/tex]

Answer:

Perimeter of circle = 36 cm Area of circle = 77 cm²

Select the correct answer. Consider this absolute value function. f(x) = |x - 21 If function f is written as a piecewise function, which piece will it include? O x + 2, x > 2 -x - 2, x ≥ 2 -x + 2, x < 2 x - 2, x ≤ 2​

Answers

The piecewise function for f(x) is f(x) = x - 2, x ≥ 2; -x + 2, x < 2, So the correct answer is option C.

Describe Function?

In mathematics, a function is a rule that assigns each element of a set (called the domain) to a unique element of another set (called the range). Functions are a fundamental concept in mathematics and are used to describe relationships between variables, as well as to model and solve a wide range of mathematical problems.

A function is typically denoted using a letter such as "f", and is defined by an equation or formula that specifies how the input (or domain) values are transformed into output (or range) values. For example, the function "f(x) = 2x + 1" assigns each input value "x" to an output value equal to twice the input value plus one.

The absolute value function f(x) = |x - 2| can be written as a piecewise function by separating it into two cases:

Case 1: x - 2 ≥ 0 or x ≥ 2

In this case, the expression inside the absolute value bars becomes x - 2, so f(x) = x - 2.

Case 2: x - 2 < 0 or x < 2

In this case, the expression inside the absolute value bars becomes -(x - 2) = -x + 2, so f(x) = -x + 2.

Therefore, the piecewise function for f(x) is:

f(x) =

x - 2, x ≥ 2

-x + 2, x < 2

So the correct answer is option C.

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Answer: Hope this helps ;)

Step-by-step explanation:

PLEASE HELP! DUE TODAY!!

SHOW WORK!!!!

Answers

Answer:

Step-by-step explanation:

The sum of the measures of angles DAC and CAB must equal the measure of angle DAB, since they are adjacent angles that share a common vertex, A. Therefore, we have:

(DAC) + (CAB) = (DAB)

Substituting the given values, we get:

(2y - 7) + (3y + 2) = (DAB)

Simplifying and solving for y, we get:

5y - 5 = (DAB)

y = (DAB + 5) / 5

Now we can find the measure of angle CAB by substituting y back into the given expression for CAB:

<CAB = (3y + 2) = 3[(DAB + 5)/5] + 2 = (3DAB + 17)/5

Therefore, the measure of angle CAB is (3DAB + 17)/5 degrees.

Find the area of the shaded triangle or quadrilateral.

Answers

Answer:

For the Triangle it is 3 and for the quadrilateral,(trapezoid) it is 10.5

Step-by-step explanation:

for the triangle do bxh/2. and for the trapezoid divide it into a square and triangle.

A class of 33 children were asked to name their favourite colour. All the results are shown in a bar chart below. put the correct numbers on the vertical axis of the bar chart.

Answers

This question cannot be answered

Please post the diagram/chart.

Answer: there should be a diagram but where is it

Step-by-step explanation:

Two brothers, Mark and Brian, each inherit $39000 . Mark invests his inheritance in a savings account with an annual return of 2.1% , while Brian invests his inheritance in a CD paying 5.6% annually. How much more money than Mark does Brian have after 1 year?

Answers

Answer: 4.2

Step-by-step explanation:

A mail-order computer business has four telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table.Xp(x)00.11230.25 0.30.35a. Find the cdf F(x) of X. b. Calculate the probability of each of the following events: A = {fewer than two lines are in use},B= {at least two lines are in use}, C= {between one and five lines, inclusive, are in use}.

Answers

The probability of each event is: P(A) = 0.34 P(B) = 0.66 P(C) = 0.89

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

To find the cdf F(x) of X, we can use the following formula:

F(x) = P(X ≤ x) = ∑ P(X = k) for k ≤ x

So we have:

F(0) = P(X ≤ 0) = P(X = 0) = 0.11

F(1) = P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.11 + 0.23 = 0.34

F(2) = P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.23 + 0.25 = 0.59

F(3) = P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.11 + 0.23 + 0.25 + 0.3 = 0.89

F(4) = P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.11 + 0.23 + 0.25 + 0.3 + 0.35 = 1

So the cdf F(x) of X is:

F(x) = 0 for x < 0

F(x) = 0.11 for 0 ≤ x < 1

F(x) = 0.34 for 1 ≤ x < 2

F(x) = 0.59 for 2 ≤ x < 3

F(x) = 0.89 for 3 ≤ x < 4

F(x) = 1 for x ≥ 4

b. To calculate the probability of the events A = {fewer than two lines are in use}, B = {at least two lines are in use}, C = {between one and five lines, inclusive, are in use}, we can use the cdf F(x) that we just found.

P(A) = P(X < 2) = F(1) = 0.34

P(B) = P(X ≥ 2) = 1 - P(X < 2) = 1 - F(1) = 1 - 0.34 = 0.66

P(C) = P(1 ≤ X ≤ 5) = F(5) - F(0) = 1 - 0.11 = 0.89

Therefore, the probability of each event is: P(A) = 0.34 P(B) = 0.66 P(C) = 0.89

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I need help with this please

Answers

The snow that will be gotten daily of the line plot is redistributed equally will be 1/2.

What is a line plot?

A line plot, also known as a line graph, is a type of graph that displays information as a series of data points connected by straight lines. Line plots are often used to show how a particular variable changes over time or to compare two or more variables.

To create a line plot, you typically need to have a set of data points that represent the variable you want to graph. You then plot each data point on a graph, with the x-axis representing time or some other variable, and the y-axis representing the value of the variable you're graphing.

The snow that will be gotten daily of the line plot is redistributed equally will be:

= (1/8 + 2/8 + 3/8 + 4/8 + 5/8 + 6/8 + 7/8 + 8/8) / 9

= 36/8 / 9

= 1/2

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Root of the equation

Answers

Answer:

A fancy way of saying "solutions" of the equation

Properties of Parallelograms

Answers

Answer:

In a parallelogram opposite sides are parallel to each other

Step-by-step explanation:

the opposite sides are equal that's why it is called parallelogram

8. Compare the numbers in the following sequence and try to determine what the next number
should be.
6, 9, 18, 21, 42, 45, ?

Answers

Answer:

90

Step-by-step explanation:

this is the pattern: +3, *2, +3, *2, +3

so theoretically the next number would be 90.

The next number is 90.

If you observe the pattern the second number is +3 of the first number and the third number is ×2 of the second number following this pattern.

6+3=9

9×2=18

18+3=21

21×2=42

42+3=45

45×2=90

Therefore 90 is the right answer.

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How can I solve this?

Answers

Answer:

Step-by-step explanation:

linear function

straight line

Help me solve this. Thank you

Answers

the total area under the normal distribution curve is 0.9632.

How to find  total area under the normal distribution curve?

To find the total area under the normal distribution curve, we can use the standard normal distribution table or a calculator with a normal distribution function. We need to find the areas to the left and right of the given z-scores and add them together.

First, we can find the area to the left of z = -2.15 using the standard normal distribution table or a calculator with a normal distribution function. The area to the left of z = -2.15 is the same as the cumulative probability of a standard normal distribution with a z-score of -2.15. Using a standard normal distribution table or a calculator, we find this area to be 0.0158.

Next, we can find the area to the right of z = 1.62 using the standard normal distribution table or a calculator with a normal distribution function. The area to the right of z = 1.62 is the same as the complement of the cumulative probability of a standard normal distribution with a z-score of 1.62. Using a standard normal distribution table or a calculator, we find the complement to be 0.0526. Therefore, the area to the right of z = 1.62 is 1 - 0.0526 = 0.9474.

Finally, we can add the area to the left of z = -2.15 and the area to the right of z = 1.62 to find the total area under the normal distribution curve:

S = area to the left of z = -2.15 + area to the right of z = 1.62

S = 0.0158 + 0.9474

S = 0.9632

Therefore, the total area under the normal distribution curve is 0.9632.

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Use appropriate formulas to find (a) the perimeter and (b) the area of the figure.
(a) The perimeter is
(b) The area is
17 cm
17 cm

Answers

Answer:

perimeter=68cm

area=289cm^2

Step-by-step explanation:

the perimeter is 17+17+17+17=68cm

the area is 17×17=289cm^2

A patient has a choice between four different prescription plans through their health insurance. The options are:
Option A: $105 monthly premium with a $15 co-pay per prescription
Option B: $100 monthly premium with a $20 co-pay per prescription
Option C: $115 monthly premium with a $10 co-pay per prescription
Option D: $110 monthly premium with a $12 co-pay per prescription
Which option is the most expensive if the patient fills 7 prescriptions each month?
O Option A
O Option B
O Option C
O Option D

Answers

Option B is the most expensive, with a total cost of $240 per month if the patient fills 7 prescriptions per month.

Which option is the most expensive if the patient fills 7 prescriptions each month?

To determine which option is the most expensive, we need to calculate the total cost for each option if the patient fills 7 prescriptions per month.

For Option A, the total cost would be:

(7 x $15) + $105 = $210

For Option B, the total cost would be:

(7 x $20) + $100 = $240

For Option C, the total cost would be:

(7 x $10) + $115 = $185

For Option D, the total cost would be:

(7 x $12) + $110 = $194

Therefore, Option B is the most expensive, with a total cost of $240 per month if the patient fills 7 prescriptions per month. The other options are cheaper, with Option C being the least expensive at $185 per month.

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How many three-digit positive integers x are there, such that subtracting
the sum of digits of × from x gives a three-digit number whose digits are all
the same?

Answers

Answer:

Let's call the three-digit number whose digits are all the same "n". We know that n must be between 111 and 999, inclusive.

Now let's consider a three-digit number x. We can write x as:

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x = 100a + 10b + c

where a, b, and c are the hundreds, tens, and one's digits of x, respectively. The sum of the digits of x is:

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a + b + c

If we subtract this sum from x, we get:

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100a + 10b + c - (a + b + c) = 99a + 9b

We want this to be equal to n, which means:

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99a + 9b = n

We know that n has three identical digits, so we can write:

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n = 111p

where p is a digit between 1 and 9. Substituting this into the equation above, we get:

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99a + 9b = 111p

11a + b = 37p

Since a and b are digits between 0 and 9, we can see that 37p must be between 0 and 99. The possible values of p are therefore 1, 2, and 3.

If p = 1, then 37p = 37, and we need to find two digits a and b such that 11a + b = 37. This gives us the solutions (a, b) = (3, 4) and (a, b) = (4, 3), which correspond to the numbers 343 and 434.

If p = 2, then 37p = 74, and we need to find two digits a and b such that 11a + b = 74. There are no such solutions since the largest possible value of 11a + b is 99.

If p = 3, then 37p = 111, and we need to find two digits a and b such that 11a + b = 111. This gives us the solution (a, b) = (10, 1), which corresponds to the number 1001. However, 1001 is not a three-digit number, so it does not count.

Therefore, the only two three-digit numbers that satisfy the conditions of the problem are 343 and 434. There are 2 such numbers.

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