$46.20 for 12 pizzas, how much per pizza

Answers

Answer 1

Answer:

3.85

Step-by-step explanation:i did the math .... :)


Related Questions

The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored

Answers

This question is incomplete

Complete Question

The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?

Answer:

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Step-by-step explanation:

Let the number of points scored by the lion = l

The number of points scored by the tiger = t

The Lions scored three more than three times the number of points the Tigers scored.

l = 3 + 3(t)

The total number of points scored by both teams is 31.

= l + t = 31

3 + 3t + t = 31

4t = 31 - 3

4t = 28

t = 28/4

t = 7 points

Note:

l + t = 31

I = 31 - t

l = 31 - 7

l = 24 points

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

In the diagram below, the radii of the two concentric circles are 3 centimeters and 7 centimeters, respectively.
What is the area of the shaded region?

Answers

Answer:

125.6 cm²

Step-by-step explanation:

Area of the shaded region = area of larger circle - area of the smaller circle

Area of the smaller circle = πr²

π = 3.14, r = 3 cm

Area of smaller circle = 3.14*3² = 3.14*9 = 28.26 cm²

Area of larger circle = πr²

π = 3.14, r = 7

Area of larger circle = 3.14*7² = 3.14*49 = 153.86 cm²

Area of the shaded region = 153.86 - 28.26 = 125.6 cm²

Please put the following numbers in order largest to smallest: 19/50; 0.37; 40%

Answers

Answer:

19/50   40%     0.37

Step-by-step explanation:

19/50 = 0.38

0.37 = 0.37

40% = 0.40

40%, 19/50, 0.37

Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP I WILLL GIVE BRAINLIEST!!!!!!!!!

Answers

Answer:

24

Step-by-step explanation:

Answer:

R is D

Step-by-step explanation:

Mathematical Expression:

R=D divided by T

For Y=R substitute R with RT:

R=D

4+ (-2) + 3(5) simplify ​

Answers

Answer:

Step-by-step explanation:

when there is a + in front of an expression in parentheses, the expression remains the same.

multiply the numbers. 4-2+15

calculate the sum

and u get 17!

The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys

Answers

Answer:

The mean of the remaining 3 boys is 51.

Step-by-step explanation:

The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:

[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)

([tex]p_{10} = 58[/tex])

[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)

Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.

In addition, we know the following mean marks from statement:

[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)

([tex]p_{7} = 61[/tex])

[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)

[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)

Where:

[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.

[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.

By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:

[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]

[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]

[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]

[tex]3\cdot p_{3} = 153[/tex]

[tex]p_{3} = \frac{153}{3}[/tex]

[tex]p_{3} = 51[/tex]

The mean of the remaining 3 boys is 51.

Sammy wants to buy a new mattress priced at $419. He enters into an agreement to pay $26 a month for 24 months. How much will the finance charge be for this purchase?

Answers

If Sammy pays a monthly installment of $ 27 for 24 months, then the total amount paid by Sammy is 24 * $ 27 = $ 648. Now, since the

Triangle ABC with vertices A(2, 7), B(6,5),
and C(4, 1): 90° counterclockwise on a graph

Answers

Answer:

Step-by-step explanation:

Hope it helps!!

Triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).

Given that, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1).

What is rotation rule of 90°?

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

90° counterclockwise rotation: (x, y) becomes (-y, x)

A(2, 7) → A'(-7, 2)

B(6, 5) → B'(-5, 6)

C(4, 1) → C'(-1, 4)

Therefore, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).

Learn more about the rotation of 90° counterclockwise here:

brainly.com/question/1571997.

#SPJ2

g A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 6% margin of error at a 95% confidence level, what size of sample is needed

Answers

Answer:

Sample size required is 267 people

Step-by-step explanation:

The explanation is given in the attachment below

Is the product of 0.4 * 1.8 greater then or less then 0.4


Answers

Answer:

Greater

Step-by-step explanation:

.4*1.8 is .72

.72 is greater than .4

PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS ​

Answers

Look up decimal to percentage calculator and you can enter the decimals and get your answer because me entering all of them would be a pain

: The average student college loan rate is 4%. You borrowed $18,000 per year for 4 years for tuition, room, & board. If the interest is computed as simple interest, annually, how much interest will you owe when you graduate. Assume 4 years interest on the freshman year loan, 3 years on the sophomore loan, 2 years on the junior loan, and 1 year on the senior loan.

Answers

Answer: A) 7,200

Step-by-step explanation:

Answer:7200

Step-by-step explanation:

2+2=7200

Samantha has 4 1/2 gallons of lemonade for her daughter’s birthday party. Each gallon of lemonade contains 1.5 grams of fat. How many grams of fat are contained in all the lemonade Samantha has for the party?

Answers

Answer: 6.75

Step-by-step explanation:

1/2 gallons = 0.75 grams

1 gallons = 1.5 grams

2 gallons = 3 grams

4 gallons = 6 grams

6 + 0.75 = 6.75

I hope this helped!

6x-4=3x+4 i need help doing this
the answer would be,,..................... .................................... I have no clue AT ALL¶§§​

Answers

Answer:

x = 8/3

Step-by-step explanation:

6x-4=3x+4

Subtract 3x from each side

6x-3x-4=3x-3x+4

3x-4 =4

Add 4 to each side

3x-4+4 = 4+4

3x =8

Divide each side by 3

3x/3 = 8/3

x = 8/3

Answer:

hi

Step-by-step explanation:

exact form: 8/3

decimal form:

2.6 repeating sign over six

mixed number form: 2 2/3

You plan on using cost-based pricing. The cost of your product is $10, and you are planning a 30% mark-up. What should the price of your product be?

Answers

Answer:

Selling price= $13

Step-by-step explanation:

Giving the following information:

The cost of your product is $10, and you are planning a 30% mark-up.

The price of the product is calculated by adding to the manufacturing costs a predetermined percentage.

Selling price= 10*1.3

Selling price= $13

Based on the cost of the product and the mark-up, the price of the product will be $13.

Price of product

This can be fund using the formula:

= Cost of product x ( 1 + markup percentage)

Solving gives:

= 10 x ( 1 + 30%)

= 10 x 1.3

= $13

In conclusion, the product would be $13.

Find out more on cost based pricing at https://brainly.com/question/4144684.

Select the postulate of equality or inequality that is illustrated. 5=5 addition postulate of inequality the multiplication postulate of inequality the symmetric postulate of equality the transitive postulate of equality comparison postulate the reflexive postulate of equality the transitive postulate of inequality​

Answers

Answer:

Reflexive postulate of equality

Step-by-step explanation:

Given

[tex]5 = 5[/tex]

Required

Which option answers the question

From the list of given options, the correct answer is: reflexive postulate of equality

This is so, because:

Reflexive postulate of equality implies that: [tex]a = a[/tex]

So, take [tex]a = 5[/tex]

This gives:

[tex]a = a[/tex]

[tex]5 = 5[/tex]

Hence:

Reflexive postulate of equality answers the question

ten bag of beans cost 350:00cedi find the cost of 6 bags​

Answers

232 cedis as the answer

South High School began the school
year with 1125 students. They have
lost 4% of their student body due
to attrition.
How many students has South
High School lost to attrition?

Answers

Answer:

45

Step-by-step explanation:

1125 students×.04 attrition =45 students lost

There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If a person can eat 2 pounds, how many people are necessary to eat all of the waffles?

Answers

Answer: 112 people.

Step-by-step explanation:

Answer:

You would need 112.5 people to eat all the stacks of pancakes.

Step-by-step explanation:

45 times 5 = 225

and then 225 divided by 2 is 112.5

Hope this helps!

Good question lol

Rewrite 8^-12 isIng a positive exponent

Answers

Answer:

8^12??

Step-by-step explanation:

what is islng

Answer:

1/[tex]8^{12}[/tex]

Step-by-step explanation:

Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]

1/[tex]8^{12}[/tex]

Solution

1/[tex]8^{12}[/tex]

Alternate form

≈ 1.45519 x [tex]10^{-11}[/tex]

Sandra has $32 in her purse. She $15 for a CD.Which expression represents this situation.
32+15
-32+15
-32+(-15)
32+(-15)

Answers

This is the answer -32+15
I’m understanding my the question as Sandra has $32 in her purse then spends $15 on a CD. This would mean the answer is 32 + (-15).

Can somebody please help me with this math problem

Answers

Answer:

According to the question 25% of the students wore jackets.

Thus 25% of 12 wore jackets

The number of students can be found easily by multipling 12 with 25//100

12*25/100

12*1/4

12/4

thus, 3 students

Therefore, option 3 is correct

Sanjay has 2 1/3 cups of pretzels, Raul has 1 5/6 cups of chocolate pieces, and Sonny has 3 7/9 cups of granola. If they
combine all of their ingredients, how much trail mix can they
make?

Answers

sanjay and craig best friends you know that tv show from cartoon network yeah anyways they can make about 1,000 bags of trail mix

Investigate the difference between compounding annually and simple interest

for parts a-j. Round to the nearest cent.

a. Find the simple interest for a 1-year CD for $5,000 at a 2.5% interest rate.

b. Find the interest for a 1-year CD for $5,000 at an interest rate of 2.5%,

compounded annually.

c. Compare the results from parts a and b.

d. Find the simple interest for a 3-year CD for $5,000 at an interest rate

of 2.5%.

e. Find the interest for a 3-year CD for $5,000 at an interest rate of 2.5%,

compounded annually.

f. Compare the results from parts d and e.

g. Find the simple interest for a 6-year CD for $5,000 at an interest rate of 2%.

h. Find the interest for a 6-year CD for $5,000 at an interest rate of 2%,

compounded annually.

i. Compare the results from parts g and h.

j. Is interest compounded annually the same as simple interest? Explain

Answers

Step-by-step explanation:

Simple interest formula

[tex]A = P (1 + rt)[/tex]

Compound interest formula

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

a.

[tex]A = 5000 (1 + 0.025*1)\\A=5000(1.025)\\A=5125[/tex]

Simple interest is $125

b

. [tex]A = 5000 (1 + \frac{0.025}{1})^{1*1} \\A=5000(1.025)\\A= 5125[/tex]

Compound interest is $125

c. the result for both a and b are the same

d.

[tex]A = 5000 (1 + 0.025*3) \\A=5000(1.075) \\A=5375[/tex]

the simple interest is $375

e

. [tex]A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385[/tex]

the compound interest is $385

f. the result compared, compound interest is $10 more than simple interest

g.

[tex]A = 5000 (1 + 0.02*6) \\A=5000(1.12) \\A=5600[/tex]

the simple interest is $600

h.

[tex]A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869[/tex]

the compound interest is $4869

i. the result from g and h, h is over 8 times bigger than g.

j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h

The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%

Answers

Answer:

1/5

Step-by-step explanation:

We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.

We know that, percent means we need to divide the value by 100 i.e.

[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]

So, the required fraction is 1/5.

There are 4 blue and 6 red marbles in a box. Two marbles are drawn at random without replacement. What is the probability having two blue marbles drawn?

Answers

Answer:

Probability having two blue marbles(Without replacement) = 2/15

Step-by-step explanation:

Given:

Number of blue marble = 4

Number of  marble = 6

Find:

Probability having two blue marbles(Without replacement)

Computation:

Probability of first marble = 4 / 10

Probability of second marble = 3 / 9

Probability having two blue marbles(Without replacement) = [4/10][3/9]

Probability having two blue marbles(Without replacement) = 2/15

Personal Finance: Cost of a Car The suggested list price of a new car is $24,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $300 over cost for the car?

Answers

Answer: $20,700

Step-by-step explanation:

Given that :

List price of car = $24,000

Dealer's cost = 85% of the list price of the car

Dealer acceptance cost = $300 over the cost

Hence, total amount to be paid :

Dealer's cost + dealer's acceptance cost

Dealer's cost = (0.85 * $24,000) = $21,400

Hence, Total cost :

$20,400 + $300 = $20,700

on the map above.
In the United States, large quantities of oil and natural gas can be found in region
A. 1
B. 2
C. 3
D. 4
Please select the best answer from the choices provided
A
B
С
D

Answers

Answer: C

Step-by-step explanation:The top producing states are Texas, Oklahoma, New Mexico, Wyoming, and Louisiana, which produce more than 50 percent of U.S. natural gas.

Answer:

Your answer is C

Three-fourths of the sum of y and 3 plus the product of 9 and w

Answers

Answer:

¾(y + 3) + 9w

Step-by-step explanation:

Let's write it step by step:

Step 1: Three fourths of the sum of y and 3 is; ¾(y + 3)

Step 2: plus the product of 9 and w is;

¾(y + 3) + 9w

Thus,the final algebraic expression of the statement given in the question is;

¾(y + 3) + 9w

The entry fee is $11, and the entrants make the recipes at home and vote for their favorite, which cannot be their own recipe. The top 2 finishers win money. First place wins $58, and second place wins $48. You give yourself an X chance of finishing in the top 2, and if you finish top 2, then you have an equal chance of finishing first or second.

Required:
What is x such that entering this tournament is a fair gamble for you as an expected value maximizer?

Answers

Answer:

The value is  [tex]X =  0.1719 [/tex]

Step-by-step explanation:

From the question we are told that

    The entry fee is  [tex]a =  \$ 11[/tex]

    The  outcome for  first place is  [tex]b =  \$ 58[/tex]

    The outcome for second place is [tex]c =  \$ 48[/tex]

   The outcome for losing is  [tex] d =  - \$ 11[/tex]

The chance of finishing in the top two  is  X

Given that there are equal chance  of finishing first or second, then the chance of finishing first is  [tex]\frac{X}{2}[/tex]

and  the chance of finishing second is  [tex]\frac{X}{2}[/tex]

Then the chance of losing(i.e not finishing in the first two) is  [tex]1 - X[/tex]

given that the game is a fair gamble for the player as an expected maximizer then it mean is that the expected value of entering the tournament  E(X) =  0

So

     [tex]E(X) =  b *  \frac{X}{2}  +  c  *  \frac{X}{2} *  d  *  ( 1 - X)[/tex]

=>   [tex]0 =  58 *  \frac{X}{2}  +  48  *  \frac{X}{2} *  -11  *  ( 1 - X)[/tex]

=>   [tex]0 =  \frac{58X}{2}  +   \frac{48X}{2} *  -11  + 11X)[/tex]

=>   [tex]X =  \frac{64}{11}[/tex]

=>   [tex]X =  0.1719 [/tex]

Other Questions
What happened to the climate around 4000 BCE Your task is to create a buffered solution. You are provided with 0.10 M solutions of formic acid and sodium formate. Formic acid has a pKa of 3.75. 2. Create approximately 20 mL of buffer solution with a pH of 4.25. What does the ATP molecule transfer to the sodium potassium pump? I need helpppp (plz) :(( Can someone help me with these questions. (Answer 1 or answer them all I don't care.) Beth's cat weighs 5 pounds. Her dog weighs three times as much her cat .how much does her dog weigh. can you answer>:D The British knew it was going to be a long war. True False The slopes of the curve at points A and B (maximum and minimum) are:A.zero and zeroB. Infinity and zero C. Zero and 1D. 1 and zero You buy a 36-ounce can of tomatoes. How many pints is that? [tex]( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = [/tex]I need help please Mr. Baxter IV, would like to retire in 26 years. He would like to accumulate $1,500,000 at the time of retirement to live a contented life. He would like set aside equal amount each month to achieve his goal. What is the monthly amount he should save if he can invest them at an interest rate of 11.1% [Annual rate]. [Assume monthly compounding] Sachs Brands's defined benefit pension plan specifies annual retirement benefits equal to 1.6% service years final year's salary, payable at the end of each year. Angela Davenport was hired by Sachs at the beginning of 2007 and is expected to retire at the end of 2041 after 35 years' service. Her retirement is expected to span 18 years. Davenport's salary is $90,000 at the end of 2021 and the company's actuary projects her salary to be $240,000 at retirement. The actuary's discount rate is 7%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: 2. Estimate by the projected benefits approach the amount of Davenport's annual retirement payments earned as of the end of 2021. 3. What is the company's projected benefit obligation at the end of 2021 with respect to Davenport? (Do not round intermediate calculations. Round your final answer to the nearest whole dollar.) 4. If no estimates are changed in the meantime, what will be the company's projected benefit obligation at the end of 2024 (three years later) with respect to Davenport? (Do not round intermediate calculations. Round your final answer to the nearest whole dollar.) Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 65% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 35%. There is only a 75% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.) How does the formation of NAD+ differ between aerobic and anaerobic respiration?A. NAD+ is formed in aerobic respiration by a fermentation process and formed in anaerobic respiration by oxidation of NADH.B. NAD+ is formed by a fermentation process in anaerobic respiration by the conversion of pyruvate into lactate and by simple oxidation of NADH in aerobic respiration. C. Under aerobic conditions, the electron acceptor is a molecule other than oxygen for NAD+ production, whereas under anaerobic conditions the electron acceptor is oxygen. D. NAD+ is formed by the breakdown of pyruvate to form oxaloacetate in anaerobic respiration whereas in aerobic respiration it is formed by the breakdown of pyruvate into lactic acid or alcohol. from The Ambitious Guest by Nathaniel Hawthorne1 One September night, a family had gathered round their hearth, and piled ithigh with the driftwood of mountain streams, the dry cones of the pine, andthe splintered ruins of great trees that had come crashing down the precipice.Up the chimney roared the fire, and brightened the room with its broad blaze.The faces of the father and mother had a sober gladness; the childrenlaughed; the eldest daughter was the image of Happiness at seventeen; andthe aged grandmother, who sat knitting in the warmest place, was the imageof Happiness grown old. They had found the herb, hearts ease, in thebleakest spot of all New England. This family were situated in the Notch ofthe White Hills, where the wind was sharp throughout the year, and pitilesslycold in the winter,giving their cottage all its fresh inclemency before itdescended on the valley of the Saco. They dwelt in a cold spot and adangerous one; for a mountain towered above their heads, so steep that thestones would often rumble down its sides and startle them at midnight.2 The daughter had just uttered some simple jest that filled them all with mirth,when the wind came through the Notch and seemed to pause before theircottagerattling the door, with a sound of wailing and lamentation, before itpassed into the valley. For a moment it saddened them, though there wasnothing unusual in the tones. But the family were glad again when theyperceived that the latch was lifted by some traveler, whose footsteps hadbeen unheard amid the dreary blast which heralded his approach, and wailedas he was entering, and went moaning away from the door.3 Though they dwelt in such a solitude, these people held daily converse withthe world. The romantic pass of the Notch is a great artery, through whichthe lifeblood of internal commerce is continually throbbing between Maine, onone side, and the Green Mountains and the shores of the St. Lawrence, onthe other. The stagecoach always drew up before the door of the cottage.The wayfarer, with no companion but his staff, paused here to exchange aword, that the sense of loneliness might not utterly overcome him ere hecould pass through the cleft of the mountain, or reach the first house in thevalley. And here the teamster, on his way to Portland market, would put upfor the night; and, if a bachelor, might sit an hour beyond the usual bedtime,and steal a kiss from the mountain maid at parting. It was one of thoseprimitive taverns where the traveler pays only for food and lodging, butmeets with a homely kindness beyond all price. When the footsteps wereheard, therefore, between the outer door and the inner one, the whole familyrose up, grandmother, children, and all, as if about to welcome someone whobelonged to them, and whose fate was linked with theirs.4 The door was opened by a young man. His face at first wore the melancholyexpression, almost despondency, of one who travels a wild and bleak road, atnightfall and alone, but soon brightened up when he saw the kindly warmthof his reception. He felt his heart spring forward to meet them all, from theold woman, who wiped a chair with her apron, to the little child that held outits arms to him. One glance and smile placed the stranger on a footing ofinnocent familiarity with the eldest daughter.5 Ah, this fire is the right thing! cried he; especially when there is such apleasant circle round it. I am quite benumbed; for the Notch is just like thepipe of a great pair of bellows; it has blown a terrible blast in my face all theway from Bartlett.6 Then you are going toward Vermont? said the master of the house, as hehelped to take a light knapsack off the young mans shoulders.7 Yes; to Burlington, and far enough beyond, replied he. I meant to havebeen at Ethan Crawfords tonight; but a pedestrian lingers along such a roadas this. It is no matter; for, when I saw this good fire, and all your cheerfulfaces, I felt as if you had kindled it on purpose for me, and were waiting myarrival. So I shall sit down among you, and make myself at home.8 The frank-hearted stranger had just drawn his chair to the fire whensomething like a heavy footstep was heard without, rushing down the steepside of the mountain, as with long and rapid strides, and taking such a leap inpassing the cottage as to strike the opposite precipice. The family held theirbreath because they knew the sound, and their guest held his by instinct. FROM THOSE 8 PARAGRAPHS SUMMERIZE THIS STORY IN (3-4 SENTENCES ANSWERING THESE FOLLOWING QUESTIONS... The Ambitious Guest by Nathaniel Hawthorne, is about? The main point (message/theme) Hawthorne is presenting is? Zuri Ross is surprised to see me.Is it a Complete SentenceFragment? Which formula describes Boyle's law?.OB.D = m/vV1T2 = V2TP1V1 = P2V2P1T2 = P2T1.OD PLEASE HELPHe said to his friend, If the British marchBy land or sea from the town to-night,Hang a lantern aloft in the belfry-archOf the North-Church-tower, as a signal-light,--One if by land, and two if by sea;And I on the opposite shore will be,Ready to ride and spread the alarmThrough every Middlesex village and farm,For the country-folk to be up and to arm.-Henry Wadsworth LongfellowTo which historical era does the event being described in the excerpt above belong? (i need this ASAP)Which of the following is anarithmetic sequence?A 1, 3, 6, 10, 15, B 8, 11, 14, 17, 20, C 48, 24, 12, 6, 3, D 1, 12, 123, 1234, 12345, Write a function that takes a string and return the back half of the string. If the string has an odd number of characters, include the extra character. Your solution should also work if given and empty string. Examples: back_half('abba') should return 'ba' back_half('abcba') should return 'cba'