A company makes paper labels for paint cans. As shown below, each can is in the shape of a cylinder with a height of 5 in 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 4521.6in^2 of paper available, how many labels can be made? Use 3.14 for n , and do not round your answer.

Answers

Answer 1

48 labels can be made if the company has a total of 4521.6in² of paper available.

We can calculate the number of labels by finding the surface area of the side of the can.

What is the surface area of the side of the can?

The surface area of the side of the can is the circumference of the base times the height:

C = πd

C = 3.14 x 6

C = 18.84 in

Area = C x h

Area = 18.84 x 5

Area = 94.2 in²

Therefore, each label requires 94.2 in² of paper.

To find the number of labels that can be made, we divide the total amount of paper by the amount needed per label:

Number of labels = Total area of paper / Area per label

Number of labels = 4521.6 / 94.2

Number of labels = 48

Therefore, 48 labels can be made using a total of 4521.6in² of paper.

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Related Questions

Using 50 random numbers given below, compute the mean and standard deviation. 0.937776 0.270012 0.243785 0.590701 0.824982 0.131805 0.879337 0.741998 0.254683 0.080259 0.419321 0.928220 0.958430 0.980182 0.263900 0.063119 0.762096 0.485612 0.662900 0.362242 0.724796 0.307736 0.305021 0.417052 0.054337 0.323357 0.069662 0.843387 0.353107 0.074262 0.735596 0.175095 0.390508 0.668932 0.029861 0.205228 0.387740 0.962169 0.646565 0.423914 0.754782 0.156719 0.773113 0.546335 0.323573 0.649740 0.214082 0.382383 0.383982 0.030539 Mean = (to 6 decimals) Standard deviation = (to 6 decimals)

Answers

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

How to Solve the Problem?

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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all you need is in the photo PLEASE DON'T DO STEP BY STEP PUT ONLY THE ANSWER PLEASEEEEEEEEEEEEEEEEEEEEE

all you need is in the photo PLEASE DON'T DO STEP BY STEP PUT ONLY THE ANSWER PLEASEEEEEEEEEEEEEEEEEEEEE

Answers

\(\begin{gathered} D\text{ is the answer.} \\ 2(x\text{ + 3.5n) = 44} \end{gathered}\)

Which rational number is multiplied by 64 to get the product -49 3/5

Answers

The rational number is equal to -31/40

Data;

product = -49 3/5number = 64

What is a rational number

This is a number that is usually expressed in fraction where both the numerator and denominator are integers.

Let the unknown number be represented by x

\(64*x=-49\frac{3}{5}\\64x=-\frac{248}{5}\\\)

Let's solve for x

\(64x=-\frac{248}{5} \\\\5*64x=-248\\320x=-248\\x=-\frac{248}{320}\\x= -\frac{31}{40}\)

From the calculations above, the rational number is -31/40

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I need to know about the fraction for this question

I need to know about the fraction for this question

Answers

Answer: the fraction is 4over 12

Step-by-step explanation:

first you multiply the top and bottom number then u divide the number by the bottom.

Answer:

1/2

Step-by-step explanation:

If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.

The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.

Another example is 1/10 times -50, that would be -5.

Consider the following figure:
The value of a is

Consider the following figure:The value of a is

Answers

Answer:

125

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

We can write the following equation according to this information and that will help us find the value of x:

65 + 60 = x add like terms

125 = x is the answer we are looking for.

\(\huge\text{Hey there!}\)


\(\huge\textsf{equation:}\)

\(\large\textsf{a = 60 + 65}\)


\(\huge\textsf{solving:}\)

\(\large\textsf{a = 60 + 65}\)

\(\large\textsf{60 + 65 = a}\)


\(\huge\textsf{simplify it:}\)

\(\large\textsf{a = 125}\)


\(\huge\textsf{therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{a =} \frak{125}}\huge\checkmark\)


\(\huge\text{Good luck on your assignment \& enjoy your day!}\)


~\(\frak{Amphitrite1040:)}\)

in the fruit bowl there are 12 bananas 8 apples and 4 oranges. do for every one orange there are ___ bananas

Answers

For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

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What is the product of (3y^-4)(2y^-4)

6/y^6
1/6y6
6/y16
1/6y16

What is the product of (3y^-4)(2y^-4)6/y^61/6y66/y161/6y16

Answers

Answer is 1/6y16 that’s the answer


You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain

Answers

Answer:

Yes since 40+30=70 so it would be the same

Step-by-step explanation:

Please help on this question

Please help on this question

Answers

Answer: bagles: 200 muffins: 164

Step-by-step explanation:

1493600÷8 i need full steps

Answers

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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convert 24580 m into km with process ​

Answers

Answer:

24.58 km

Step-by-step explanation:

1 km = 1000 m

1 m = 1 / 1000 km

24580 m

= 24580 / 1000

= 24.58 km

Calcular los 3/5 de los 2/3 de las 3/4 de 560

Answers

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

How to solve fractions?

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Need help ASAP

the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)

Need help ASAPthe value of each variable. If your answer is notteger, express it in simplest radical

Answers

Answer:

me too (help)

Step-by-step explanation:

select all the Transformations that preserve angle measure and segment lengths

select all the Transformations that preserve angle measure and segment lengths

Answers

Transformations that preserve angle measure and segment lengths ​are:

• similarity

,

• translation

,

• rotation

,

• reflection

,

which holds the more capacity 0.75 litres or 350ml

Answers

Answer:

0.75 liters

Step-by-step explanation:

1000ml in 1 liter so 0.75*1000=750ml

750ml > 350ml

Solve the equation by first subtracting 2/3 from each side

3x + 2/3 =7 5/6

Answers

The solution to the equation is x = 2 7/18

How to determine the solution to the equation

From the question, we have the following parameters that can be used in our computation:

3x + 2/3 =7 5/6

Solve the equation by first subtracting 2/3 from each side

So, we have

3x = 7 1/6

Divide both sides of the equation by 3

This gives

x = 2 7/18

Hence, the solution is 2 7/18

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Assume that military aircraft use ejection seats designed for men weighing between 132. 4132. 4 lb and 217217 lb. If​ women's weights are normally distributed with a mean of 168. 7168. 7 lb and a standard deviation of 48. 848. 8 ​lb, what percentage of women have weights that are within those​ limits

Answers

The percentage of women with weights that are within the limits is:

60.93%

What percentage of women have weights that are within those​ limits?

Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:

z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74

z-score for upper limit = (217 - 168.7) / 48.8 = 0.99

Next, we can use a z-table to find the corresponding probabilities for these z-scores:

Probability for lower limit = 0.2296

Probability for upper limit = 0.8389

Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093

Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.

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some adults and children are watching a musical there are n children there are 25 fewer adults

Answers

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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algebra 2 equality’s

algebra 2 equalitys

Answers

The algebra 2 is a vast field that deals with various mathematical concepts, such as equations and inequalities.

Algebra 2 is a branch of mathematics that mainly deals with equations and inequalities. An equation is a mathematical statement that implies that two expressions are equal.

Similarly, an inequality implies that two expressions are not equal but are related by a certain operation.There are different types of equations that one may encounter in Algebra 2.

A linear equation is an equation that can be represented by a straight line on the coordinate plane. A quadratic equation is one that can be written in the form ax² + bx + c = 0.

There are also exponential, logarithmic, and trigonometric equations that one may come across.Inequalities are statements that two expressions are not equal. Inequalities can be represented graphically on a coordinate plane, just like equations.

There are different types of inequalities such as linear, quadratic, exponential, and logarithmic inequalities.In conclusion,  These concepts help in solving real-world problems by providing a framework to analyze them mathematically.

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List the terms of the polynomial. Give the coefficient of the second term. -4y5 + 6x4 +9w³ - 4w - 1 Separate terms using commas. Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c . Make sure your variables match those in the question. Terms Coefficient​

Answers

The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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what’s the quotient of -15b^5+18b^3/3b

Answers

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.

First, let's divide -15b^5 by 3b:

(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4

Next, let's divide 18b^3 by 3b:

(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2

Now, we have simplified each term individually. The resulting expression is:

-5b^4 + 6b^2

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

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simplify the following ,leaving your answer as a surd
4/√5+3√125​

Answers

Step-by-step explanation:

it would be best if you snapped this question for better understanding, however

4/√5. +. 3√125

4/√5. +. 3(√25 x √5)

4/√5 + 3(5√5)

4/√5 + 15√5

6t/9-22;t=60
please help me

Answers

Answer:

if t=60, then 6(60)/9-23. (360-198)/9

=18

Hurry in test Brainliest!!!

Hurry in test Brainliest!!!

Answers

Answer:

y = (x - 4) - 4

Step-by-step explanation:

m = \(\frac{y_{2} - y_{1} }{x_{2} -x_{1} }\)

(- 2, - 10)

(4 , - 4)

m = \(\frac{-4+10}{4+2}\) = 1

y + 4 = (x - 4) ⇒ y = (x - 4) - 4

What is the total measurements of this roof in square feet?

What is the total measurements of this roof in square feet?

Answers

The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

What is the total area of the roof in square feet?

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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What values of y and z make AFGHACBD?
2z+14
+2
2y+35
G
I
>
N
H
7y
B
32-1
D

Answers

Step-by-step explanation:

To make the equation AFGHACBD true, the value of y must be 7, and the value of z must be 32-1=31.

Here is how the equation works out:

2z + 14 = 2 * 31 + 14 = 68

2y + 35 = 2 * 7 + 35 = 49

68 + 2 = 70

70 > 49

49 + 7y = 49 + 7 * 7 = 98

98 > 70

70 + 32 - 1 = 70 + 31 = 101

101 > 98

98 + 2y + 35 = 98 + 2 * 7 + 35 = 146

146 > 101

So, the values of y and z that make the equation AFGHACBD true are y=7 and z=31.

Help me please fast fast fast

Help me please fast fast fast

Answers

Answer:

4

Step-by-step explanation:

\((\frac{1}{2})^2\times(3\times5-3)+1^3\)

This is an order of operations problem. II'll use using PEMDAS here:

P: Evaluate expressions in parenthesis firstE: Evaluate terms with exponentsMD: Evaluate multiplication and division from left to rightAS: Evaluate addition and subtraction from left to right

Parenthesis first. The first expression in parenthesis is already as simplified as it gets, so up next is the second one:

\(3\times5-3\)

There are no parenthesis and there are no exponents, so do the multiplication first.

\(\rightarrow 3\times5-3\\\rightarrow 15-3\\\rightarrow 12\)

Back to the original expression and we now have:

\((\frac{1}{2})^2\times(12)+1^3\)

Exponents comes next:

\(\rightarrow (\frac{1}{2})^2=\frac{1^2}{2^2}=\frac{1}{4}\\\\\rightarrow 1^3=1\)

Now we have:

\(\frac{1}{4}\times12+1\)

Multiplication comes next:

\(\rightarrow \frac{1}{4}\times12=\frac{1}{4}\times\frac{12}{1}=\frac{12}{4}=3\\\\3+1\)

Finally, addition.

\(3+1=4\)

PLEASE HELP ME RIGHT NOW ASAP

PLEASE HELP ME RIGHT NOW ASAP

Answers

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

i'll give brainliest please help

i'll give brainliest please help

Answers

Answer:

The answer is ≈9.7474532 cm.

P.S. it took me a long time to figure this out I would appreciate if you put brainliest.

Find what makes this
equal. Draw a picture
underneath to help you.
2+2 = 1 +

Answers

Answer:

The answer is three

Step-by-step explanation:

because your trying to find what number equals what they give you so have to first solve the 2 + 2 which equals 4 then you try to find a number and put it with 1  so that you can get the same answer and it will be equal

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