Ms. paquette put one coat of paint on a rectangular wall that measured 25 1/2 ​ feet by 10 feet. the paint that she bought was sold in 1-gallon containers.

Answer:

The answer is A

Answer:

12

Step-by-step explanation:

The 2nd dot plot in the attachment represents the dot plot that has the same sample mean as the population mean

The dot plot that completes the question is added as an attachment.

Start by calculating the mean of the data plot using:

\(\bar x = \frac{\sum fx}{\sum f}\)

Substitute the values on the dot plot

\(\bar x = \frac{2*1+3*3+4*2+5+6*3+7*5+8*2+9*4+11*2+12*2}{25}\)

\(\bar x = 7\)

This means that the population mean of the dot plot is 7

Next, we create another dot plot that has the same mean as 7.

There are no direct rules to this, so we make use of the trial by error method.

After several attempts, we have the following frequency table:

Data point      Frequency

2                                  1

3                                  2

4                                  0

5                                  4

6                                  5

7                                  2

8                                  5

9                                  0

10                                 2

12                                 3

The mean of the frequency table is:

\(\bar x = \frac{2 * 1 + 3 * 2 + 4 * 0 + 5 * 4 + 6 * 5 + 7 * 2 + 8 * 5 + 9 * 0 + 10 * 2 + 12 * 3}{1+2+0+4+5+2+5+0+2+3}\)

Evaluate

\(\bar x = \frac{168}{24}\)

Evaluate the quotient

\(\bar x = 7\)

This means that the sample mean is 7 (same as the population mean)

Lastly, we represent the frequency table using a dot plot (the 2nd dot plot in the attachment)

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Answer:

Over 3000 texts/mo

Step-by-step explanation:

A $30 + $1/100 texts

B $50

For option B to save money, you would have to send an additional $30 worth of texts

$30 * 100 texts = 3000

If you send more than 3000 texts per month, plan B will save you money compared to plan A.

To find out how many texts you would need to send per month for plan b to save you money, you need to compare the cost of both plans for the same number of texts.

Let's assume you send x number of texts per month.

For plan A, you would pay $20 per month plus $0.01 per text, so your total cost would be $20 + $0.01x.

For plan B, you would pay a flat fee of $50 per month, regardless of how many texts you send.

So to find out when plan B becomes cheaper than plan A, you need to solve the inequality:

$50 < $20 + $0.01x

Subtracting $20 from both sides gives:

$30 < $0.01x

Dividing both sides by $0.01 gives:

x > 3000

The calculation compares the total cost of both plans for a certain number of texts. Plan A has a fixed monthly fee of $20, and an additional cost of $0.01 per text. Plan B, on the other hand, has a flat monthly fee of $50 with unlimited texts. By setting these two costs equal to each other, you can solve for the number of texts that makes Plan B cheaper than Plan A. In this case, sending more than 3000 texts per month makes Plan B the cheaper option.

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The correct answer is n - 7 = 30

There are 97 people who rent umbrellas.


Step 1: Find the number of people who rent only chairs.
Since there are 72 people who rent both chairs and umbrellas, there must be 125 - 72 = 53 people who rent only chairs.

Step 2: Find the total number of people who rent only chairs or only umbrellas.
Since there are 150 customers in total, there must be 150 - 72 = 78 people who rent either only chairs or only umbrellas.

Step 3: Find the number of people who rent only umbrellas.
Since we know that 53 people rent only chairs from Step 1, there must be 78 - 53 = 25 people who rent only umbrellas.

Step 4: Find the total number of people who rent umbrellas.
Since there are 72 people who rent both chairs and umbrellas and 25 people who rent only umbrellas, there are 72 + 25 = 97 people who rent umbrellas.

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The given content is an example of sweepstakes.

What is a sweepstake?

A sweepstake is a type of contest in which a prize or prizes are given to the winner or winners. Sweepstakes began as a type of lottery tied to the sale of a product. Sweepstakes became strictly "No purchase necessary to enter or win" and "A purchase will not increase your chances of winning" under these laws, especially because many sweepstakes companies skirted the law by stating only "no purchase necessary to enter," removing the consideration (one of the three legally required elements of gambling) to prevent sweepstakes abuse.

Based on the above definition,

we can conclude that the given question is an example of a sweepstake.

Hence, this is an example of sweepstakes.

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\(\huge\fbox{Answer -}\)

1. four hundred thirty six

2. two hundred forty one

3. seven hundred eighty seven

4. six hundred fifty three

hope helpful xD

The words are four hundred and thirty six, Two hundred and forty one, Seven hundred and eighty seven and six hundred and fifty three.

Data;

To solve this problem, we have to write the given numbers in words

a)

436

This can be written as

four hundred and thirty six

b)

241

This is written as

Two hundred and forty one

c)

787

This is written as

Seven hundred and eighty seven

d)

653

This is written as

six hundred and fifty three.

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The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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The simplified expression with only positive exponents is: 16/x

And this expression cannot be evaluated further without knowing the value of x.

Let's simplify the given expression:

(4 + 2/x) / (x/4 + 1/8)

We can start by finding a common denominator for the fractions in the numerator and denominator of the expression. The least common multiple of 4 and 8 is 8, so we can rewrite the expression as:

[(32 + 16/x) / (2x + 1)] * [1/8]

Simplifying the expression inside the square brackets, we get:

[(32x + 16) / x] / (2x + 1)

Now we can divide by the fraction in the denominator by multiplying with its reciprocal:

[(32x + 16) / x] * [(1) / (2x + 1)]

Simplifying further, we get:

(16(2x + 1)) / x(2x + 1)

The factor of (2x + 1) cancels out, leaving us with:

16/x

Therefore, the simplified expression with only positive exponents is:

16/x

And this expression cannot be evaluated further without knowing the value of x.

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In a regular tetrahedron with point P equidistant from its vertices, the ratio of the distance from P to point E to the edge length is (sqrt(3) - 1) / (2sqrt(3) - 1).

Given a regular tetrahedron with vertices A, B, C, and D and a point P equidistant from A, B, C, and D, the ratio of the distance from P to point E to the length of an edge is (sqrt(3) - 1) / (2sqrt(3) - 1).

Let A, B, C, and D be the vertices of the regular tetrahedron, and let P be the unique point equidistant from A, B, C, and D. Let E be the point where line PD intersects face ABC.

Since ABCD is a regular tetrahedron, all its edges have the same length, say s. Let h be the height of the tetrahedron, which can be found using the Pythagorean theorem as:

h = sqrt(2/3) * s

Since P is equidistant from A, B, and C, it lies on the perpendicular bisectors of the edges opposite to these vertices. Therefore, the distance from P to each of the vertices A, B, and C is h/3.

Since triangle ABE is equilateral, we have:

AB = BE = s

Therefore, triangle ABE is an isosceles triangle, and the altitude from E to AB (which is also the perpendicular bisector of BE) bisects AB at point F. Therefore, FA = FB = s/2.

Since line PD passes through P and is perpendicular to face ABC, we have:

PE = h/3

Therefore, triangle PED is a right triangle with hypotenuse PD and one leg PE. Using the Pythagorean theorem, we can find the length of the other leg DE as:

DE = sqrt(PD^2 - PE^2)

Since triangle ABE and triangle CDE are similar, we have:

AB/CD = AE/CE

Substituting AB = s and CD = DE, and using the fact that AE = FA + FE = s/2 + PE and CE = CD - DE = s - DE, we get:

s/DE = (s/2 + h/3) / (s - DE)

Simplifying and solving for DE/s, we get:

DE/s = (sqrt(3) - 1) / (2sqrt(3) - 1)

Therefore, the ratio DE to the edge length s is (sqrt(3) - 1) / (2sqrt(3) - 1).

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x = 0 and Reduced cost = -4: This combination is not possible for decision variable x and its corresponding reduced cost.

Based on the complementary slackness condition in linear programming, the values of the decision variable x and its corresponding reduced cost can provide insights into the feasibility and optimality of the solution.

In the given scenarios:

x = 20 and Reduced cost = -4:

This combination is possible as a non-zero value of x with a negative reduced cost indicates that x is a non-basic variable and has a potential to increase in order to improve the objective function value.

x = 0 and Reduced cost = -4:

This combination is not possible because if x is a non-basic variable with a reduced cost of -4,

it implies that increasing x from zero would improve the objective function value, violating the complementary slackness condition.

x = 0 and Reduced cost = 0:

This combination is possible as x can be a basic variable with a reduced cost of zero,

indicating that it is at its lower bound and does not need to change.

x = 20 and Reduced cost = 0:

This combination is possible as a non-zero value of x with a reduced cost of zero implies that x is a non-basic variable and has already reached its upper bound,

so it does not need to change to improve

the objective function value.

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Exponent rules are those laws that are applied to exponent-based expressions to make them simpler. The principles of exponents make it simple and rapid to execute numerous arithmetic operations like addition, subtraction, multiplication, and division. These guidelines are also useful for reducing the complexity of numbers that have complex powers incorporating fractions, decimals, and roots.

Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These guidelines are useful for reducing the complexity of expressions whose exponents are decimals, fractions, irrational numbers, or negative integers.

When an exponent is a negative number, we apply the negative law of exponents. This rule states, "The reciprocal should be taken to convert any negative exponent into a positive exponent." The change in sign of the exponent values moves the expression from the numerator to the denominator.

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Mrs. Smith was employed after 11 years when her pay was most likely to be $45,378.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

y=305x+41,987

y=45,378

45,378=305x+41,987

305x=45,378-41,987

305x=3391

x=11.11 years

After 11 years, Mrs. Smith was hired when she was most likely to have a salary of $45,378.

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If 3 teachers and the maximum number of students attend , then the money will the school have left over will be £4  .

in the question ,

it is given that

total amount to be spent by the school on atrip to the theatre  = £2500

regular price of theatre ticket = £35 each    

since the discount given is 1/5 off on price ,

the offer price of theatre ticket = 4/5*35 = £28      ...(i)

the ticket price = £20        ...(ii)

From equation(i) and (ii)

the total cost per person is = 28+20 = £48

given that 3 teacher and maximum students attend ,

let the maximum number of students be x.

According to the question

48(x+3) ≤ 2500

x+3 ≤ 52.08

x ≤ 52.08-3

x ≤ 49.08

x≈49

So, maximum number of students that can attend the trip = 49

money left over = total money - (cost per person)*(number of teacher + students )

= 2500 - 48(49+3)

= 2500 - 48*(52)

= 2500 - 2496

= 4

Therefore , If 3 teachers and the maximum number of students attend , then the money will the school have left over will be £4  .

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Answer:

55kg of dinosaur nuggets cost $10.

1kg of dinosaur nuggets cost $0.18

165kg of dinosaur nuggets cost $29.70

Thank you and please rate me as brainliest as it will help me to level up

Answer:

17 1/3 52/3

Step-by-step explanation:

3x+y=38

3x+2y=52

-y=14

y=-14

3x+-14=38

3x-14=38

3x=38+14

3x=52

3x/3=52/3

x=171\3

17 is a whole number then 1 divided by 3 . thus is x

Answer: nijja what

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

The circumference is 25.12m.

Step-by-step explanation:

To get the circumference, you need the radius.

Radius is half the diameter. So 16/2=8.

8 is the radius, now multiply it by 3.14. (Pi)

Then the finale results are 25.12m.

The circumference is 25.12m.

Hope this was helpful, have a great day.

Answer:

50.24m

Step-by-step explanation:

The formula that you have to find the circumference is.

C = π d

Here,

C = circumference

d = diameter

Let us find now.

C = π d

C = π × 16

C = 3.14 × 16

C = 50.24 m

Hope this helps you :-)

Let me know if you have any other questions :-)

The numbers in this problem are classified as follows:

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We have to find how many bracelets she starts with.

We can call it x by now.

If she sold half, she keeps x/2.

Then, she bought 20 more, so the final number is x/2 + 20.

We also know that this final number is 45, so we can write and solve for x:

Answer: she starts with 50 bracelets.

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

student  p= added and subtracted wrongs

stident Q= only subtracted

Step-by-step explanation:

The error of student P is the first step and that of student Q is the third step.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is

-2.5 (1.4 + 3.1) + 6.9 (-4.3)

Using the distributive property,

= (-2.5 × 1.4) + (-2.5 × 3.1) + (6.6 × -4.3)

= -3.5 - 7.75 - 29.67

= - (3.5 + 7.75 + 29.67)

= -40.92

This is the correct way to do the operations.

The error of student P is in the step 1, where the student wrote 7.75 instead of -7.75.

The error of student Q is in the step 3, that when the negative sign is taken out all the signs inside the bracket become positive.

Hence the errors of two students are found.

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Pan tool do the data analyst use to select the area on the map representing Finland.    

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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Answer:

The difference in areas:

Percent increase:

Answer:

Step-by-step explanation:

Answer:

b=2.6

Step-by-step explanation:

b+2=4.6 Original equation
b+2-2=4.6-2 Subtract 2.6 from each side

b=2.6 Solution

Answer:

D

Step-by-step explanation:

27*32=864

40%/100%=0.4

0.4*864=345.6