The cost of 12 widgets is $7.50. How much will it cost to buy 52 widgets?

Answers

Answer 1

Answer:

$32.50

Step-by-step explanation:

To answer this question, find the price per widget by dividing $7.50 by the number of widgets (12)

7.50 / 12 = 0.625

You may be tempted to round to 0.63 here, and maybe that is what your teacher wants, but typically you save rounding for the end of your calculations. So let's keep the price-per-widget at 0.625 and multiply it by the 52 widgets to find the total cost.

0.625 * 52 = 32.5 or $32.50

Answer 2
12 : $7.50= 52 : x
x = $7.50*52/12
x = $32.5

Related Questions

4 divided by 2/9 in fraction form( whoever sees this I hope you have a wonderful day! )

Answers

36/2. Sklshsjsmsbsjsbsb

Answer:

4x9/2

4x9/2

36/2

18

UwU

18 is your answer

Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to find the number of quarters, q, and the number of dimes, d, she has is shown.

q + d = 19

0.25q + 0.1d = 4


How many quarters does she have?

4

5

14

15

Answers

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

The number of the quarters coins are 14. Then the correct option is C.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

Kat has 19 coins, all quarters and dimes, that are worth a total of $4.

The system of equations that can be used to find the number of quarters, q, and the number of dimes, d, she has is shown.

           q + d = 19

                 d = 19 – q ...1

0.25q + 0.1d = 4        ...2

Solve the equation, we have

0.25q + 0.1(19 – q) = 4

0.25q – 0.1q + 1.9 = 4

                     0.15q = 2.1

                           q = 14

Then the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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PLEASE ANSWER WILL MARK BRAINLIEST
|4k|=12

Answers

Answer:

k = 3   or k = -3

Step-by-step explanation:

|4k|=12

There is a positive and a negative solution

4k =12 or 4k = -12

k = 3   or k = -3

Answer:

±3

Step-by-step explanation:

4k=12

-4k=12

k = 3

k = -3

k = ±3

PLEASE HELP ILL MARK BRAINLIEST !!!

The following tables describe arithmetic sequences

(a) what is the common difference of the sequence xn?

(b) what is x8? what is x12?

(c) what is the common difference of the sequence am?

(d) what is a12? what is a15?

Answers

Answer:

a) the common difference is 20

b) [tex]x_8=115 , x_{12}=195[/tex]

c) the common difference is -13

d) [tex]a_{12}=52, a_{15}=13[/tex]

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: [tex]x_n=x_1+(n-1)d[/tex]

We know common difference d= 20, we need to find [tex]x_1[/tex]

Using [tex]x_3=16[/tex] we can find [tex]x_1[/tex]

[tex]x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25[/tex]

So, We have [tex]x_1 = -25[/tex]

Now finding [tex]x_8[/tex]

[tex]x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115[/tex]

So, [tex]\mathbf{x_8=115}[/tex]

Now finding [tex]x_{12}[/tex]

[tex]x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195[/tex]

So, [tex]\mathbf{x_{12}=195}[/tex]

c) what is the common difference of the sequence [tex]a_m[/tex]

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: [tex]a_n=a_1+(n-1)d[/tex]

We know common difference d= -13, we need to find [tex]a_1[/tex]

Using [tex]a_7=104[/tex] we can find [tex]x_1[/tex]

[tex]a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195[/tex]

So, We have [tex]a_1 = 195[/tex]

Now finding [tex]a_{12}[/tex] , put n=12

[tex]a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52[/tex]

So, [tex]\mathbf{a_{12}=52}[/tex]

Now finding [tex]a_{15}[/tex] , put n=15

[tex]a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13[/tex]

So, [tex]\mathbf{a_{15}=13}[/tex]

In new York, the federal reserve gold vault is located at a depth of -80 feet below ground. the treasure at oak island is believed to at a depth of -134 feet which is farther below ground the gold vault or the oak island treasure.which is farther below ground the gold vault or the oak island treasure

Answers

Answer:

oak island treasure is deeper in the ground

!!URGENT!!
Camila has had a collection of sports cards for several years. If the time in years since the collection started is represented by t, and the number of cards in the collection is represented by B, match each of the statements below with an equation that models the function described. Camila had started her collection with 250 cards and her collection decreased by 60 cards each year. Camila didn't have any cards when she started her collection, but her collection grew by 60 cards each year.

Answers

Answer:

1). 250 - 60t

2). 60t

Step-by-step explanation:

"Camila started her collection with 250 cards and decreased by 60 cards each year"

Starting number of cards with Camila = 250

Decrease in number of cards each year = 60

Decrease in number of cards after 't' years = 60t

Number of cards after 't' years = 250 - 60t

"Camila didn't have any card when she started her collection, but her collection grew by 60 cards each year."

Number of cards with Camila = 0

Number of cards grew each year = 60

Number of cards after 't' years = 60t + 0 = 60t

Geometry! Find the length of a-b. Give answer in simplest radical form.

Answers

Answer:

Length of AB is [tex]\sqrt{106}[/tex]

Step-by-step explanation:

Let us use the rule of the distance To find the length of AB

∵ A = (9, -3)

∵ B = (0, 2)

x1 = 9 and y1 = -3

x2 = 0 and y2 = 2

∵ AB = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

→ Substitute the values of x1, x2, y1, and y2 in the rule to find AB

∴ AB = [tex]\sqrt{(0-9)^{2}+(2--3)^{2}}[/tex]

∴ AB = [tex]\sqrt{(-9)^{2}+(2+3)^{2}}[/tex]

∴ AB = [tex]\sqrt{81+(5)^{2}}[/tex]

∴ AB = [tex]\sqrt{81+25}[/tex]

∴ AB = [tex]\sqrt{106}[/tex]

→ The square root of 106 is the simplest radical form

Length of AB is  [tex]\sqrt{106}[/tex]

Please help with geometry!
Find x

Answers

Answer:6x-5+2x+5+3x+22 and u get your answer

Step-by-step explanation:

What is an equation of the line that passes through the point (2,3) and is parallel to the line x+y=4

Answers

Answer:

The equation of required line is: [tex]\mathbf{x+y=5}[/tex]

Step-by-step explanation:

We need to find an equation of the line that passes through the point (2,3) and is parallel to the line x+y=4

For finding an equation of line, we need to find slope and y-intercept of the line.

Finding slope:

If the lines are parallel their slope is same

We are given: x+y=4

Writing in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

[tex]x+y=4\\y=-x+4[/tex]

Comparing [tex]y=-x+4[/tex] with [tex]y=mx+b[/tex] the slope m is -1

So, slope of given line is -1

It is parallel with required line, so they have same slope.

The slope of required line is m=-1

Finding y-intercept

Using slope m=-1 and point(2,3) we can find y-intercept

Using slope-intercept form: [tex]y=mx+b[/tex]

[tex]y=mx+b\\3=-1(2)+b\\3=-2+b\\b=3+2\\b=5[/tex]

So, y-intercept is: b=5

The equation of required line having slope m=-1 and y-intercept b = 5 is

[tex]y=mx+b\\y=-1x+5\\y=-x+5\\x+y=5[/tex]

So, equation of required line is: [tex]\mathbf{x+y=5}[/tex]

The equation of the line that passes through the point (2,3) and is parallel to the line x+y=4 is y  =  -x  +  5

Two equations are parallel if they have equal slope

For the equation x + y = 4

Rewrite the equation in the form y = mx + c

y  =  -x  +  4

Compare y = -x + 4 with y = mx + c

The slope, m = -1

The equation parallel to x + y = 4 will also have a slope, m = -1

The line passes through the point (2, 3)

That is, x₁ = 2, y₁ = 3

The point-slope form of the equation of a line is:

y - y₁  =  m(x  -  x₁)

Substitute x₁ = 2, y₁ = 3 into y - y₁  =  m(x  -  x₁)

y - 3 = -1(x  - 2)

y - 3 = -x + 2

y  =  -x  +  2  +  3

y  =  -x  +  5

The equation of the line that passes through the point (2,3) and is parallel to the line x+y=4 is y  =  -x  +  5

Learn more here: https://brainly.com/question/19484034

what fraction is equal to 0.2​

Answers

Answer:

Fraction Decimal Percent

2/3 0.666… 66.666…%

1/4 0.25 25%

3/4 0.75 75%

1/5 0.2 20%

find the missing value in the ratio table

Answers

The missing ratio is 20

22.9885 rounded to the nearest 10th

Answers

Answer: 22.9890 is the answer

Answer:

23.0 will be your answer.

Step-by-step explanation:

When you round to the nearest tenth, you go one decimal place past the decimal. This is the number that will be rounded up or stays the same.

Then we go to 1 decimal place past that one. This number determines if the number will round up or stay. If the number is 5 and greater, then it will make the number before round-up. If the number is 4 or less, then the number will stay the same.

In this case, the 8 will make the 9 round up, resulting in the 9 become a "10", and that one gets added to the 2, or the next digit to the left.

#teamtrees #WAP (Water And Plant)

HELPP ✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨

Brad already has $50 but needs a total of at least $250 per day for delivering
papers. What is the least number of days he must work to get enough money for
his vacation? Write the inequality an solve

Answers

Answer:

he needs to work 3 more days in order to make 250 dollars for his vacation

Step-by-step explanation:

Algebra
S.4 Find the slope from two points M05
Learn with an example
Find the slope of the line that passes through (5, 6) and (7, 7).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit

Answers

7-6/7-5= 1/2= 0.50.

Your answer could be written as 1/2 or 0.50
1/2 is the slope


Explanation:


You use the slope formula

Y2-y1/x2-x1

7-6/7-5

1/2

3. An isosceles right triangle is a right triangle with congruent legs. If the length of each leg is represented by x, what algebraic expression can be used to represent the length of the hypotenuse? Explain your reasoning
please don't answer if you don't know​

Answers

Answer:

Step-by-step explanation:

right triangle means Pythagorean theorem!

a^2+b^2=c^2

if each leg (a and b) = x, then

x^2+x^2=c^2

2x^2=c^2

solving for c by taking the square root of both sides leaves

c=x×sqrt(2)

c must be positive since its a length, so no need for a +- I. this case

solve for w and simplify this fraction 3/2w=-20 ​

Answers

Answer:

4 2/3

Step-by-step explanation:

Answer:

w = -1.3 (.3 repeating)

Step-by-step explanation:

3/2w = -20

3/2w time 2/3 (flip to get rid of fraction)

- 20 time 2/3 (what you do to one side, you must do to the other side)

w = 1.3 (.3 repeating)

1.3 as a fraction is 4/3

Mai has $36 to spend on movie tickets. Each movie ticket costs $4.50. How many tickets can she buy?

Answers

Answer: 8

Step-by-step explanation: 36/4.50

Answer:

8tickets

Step-by-step explanation:

she has $36

1rickeet costs $4.50

hence,

$36/$4.50

=$8.0

=8tickets.

hope was helpful!

Answer please, Ill give Brrainliest for right answer

Answers

Answer:

slope is 1/3

Step-by-step explanation:

rise over run

Cynthia is training to run the 100 yard dash. The first week she ran it is 14.0 seconds. The third week she ran it in 13.1 seconds. What is the percent change from week 1 to week 3 rounded to the nearest tenth of a percent?



Answers

Answer:

We assign the older value to variable A and the newer value to variable B. Units, in this case the dollars, are always stripped or canceled out in percent change problems since we’re looking for increases or decreases in percentage.

Step-by-step explanation:

solve the equation by taking square roots

(x-3)^2 +8 = -10​

Answers

Answer:

x = 3 ± 3i√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Vertex Form: f(x) = a(bx - c)ⁿ + dCompleting the SquareSolving roots

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define equation

(x - 3)² + 8 = -10

Step 2: Solve for x

Subtract 8 on both sides:                    (x - 3)² = -18Square root both sides:                       x - 3 = ±√-18Factor:                                                   x - 3 = √-1 · ±√18Simplify:                                                x - 3 = ±3i√2Add 3 to both sides:                            x = 3 ± 3i√2

Point P is a point on a circle with center point O. Point P is also a point on PQ←→, which is tangent to circle O.

Which of the following describes the relationship between radius OP and tangent PQ←→?


A.) OP and PQ←→ are sometimes perpendicular
B.) OP and PQ←→ are always perpendicular
C.) OP and PQ←→ are never perpendicular.
D.) The relationship is dependent on the placement of point P on the circle.

Answers

Your answer is c I think 50/50 l

The radius of the circle and tangent of the circle are perpendicular to each other. Then the correct option is B.

What is a circle?

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

Point P is a point on a circle with a center point O. Point P is also a point that lies on line  PQ, which is tangent to circle O.

Then the relationship between radius OP and tangent PQ will be

We know that the radius of the circle and tangent of the circle are perpendicular to each other.

More about the circle link is given below.

https://brainly.com/question/11833983

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which function describes -1,1,3,5,7,9,11,13

Answers

Answer:

+2

Step-by-step explanation:

which one could u guys consider? plz I need ur guys opinion

Answers

PLAN C is what I would consider because you get unlimited data for only 50$
Plan A = 20x+ 4
Plan B = 35x + 1
Plan C = 50x
It depends, I would choose plan C if you were to use a lot of data. I would choose plan B if I would use it for many months. And I would choose plan A if I would use it for a short amount of time

Solve the system using elimination

Answers

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

2x + 5y = 16

3x - 5y = -1

Step 2: Solve for x

Eliminate y (add equations):                   5x = 15Divide 5 on both sides:                           x = 3

Step 3: Solve for y

Define equation:                          2x + 5y = 16Substitute in x:                             2(3) + 5y = 16Multiply:                                        6 + 5y = 16Subtract 6 on both sides:            5y = 10Divide 5 on both sides:               y = 2

Answer:

(3, 2)

Step-by-step explanation:

2x + 5y = 16 ........ (1)

3x - 5y = - 1 ......... (2)

(1) + (2)

( 2x + 3x ) + [ 5y + ( - 5y)] = 16 + (- 1)

5x = 15 ⇒ x = 3

2(3) + 5y = 16 ⇒ y = 2

(3, 2)

Will give Brainliest!!!
Ella is going to drive from her house to City A without stopping. Ella's house is 100 miles from City A and after driving for 3 hours, she will be 25 miles away from City A. Write an equation for D,D, in terms of t,t, representing Ella's distance from City A tt hours after leaving her house.

Answers

Answer:

d = 100 - 25t

Step-by-step explanation:

Will each student get more than or less than 1 cup of broth? Explain.

Answers

Answer:

1

Step-by-step explanation:

because every cup has to be equal and if is not then every cup will be less then a cup eather way it will be the same

Segement JK joins J (-2,4) and K (3,-1). Which point is four times as far from K as it is from J?

Answers

Answer:

P( - 1, 3)

Step-by-step explanation:

J(- 2, 4), P(x, y), K(3, -1)

KP = 4JP and KP + JP = JK

5JP = JK

JP = [tex]\frac{1}{5}[/tex] JK

JK = 5√2

JP = √2

KP = 4√2

2 = (x + 2)² + (y - 4)²

32 = (x - 3)² + (y + 1)²

P( - 1, 3)

I NEED THIS ANSWER ASAP THIS IS WORTH A LOT OF POINTS PLEASE​

Answers

Answer:

Step-by-step explanation:

the slope is 1/1

At the point of tangency, the functions value and the local linear approximation of a function have the same value

True or false

Answers

the answer is false.

First person to get it right gets brainliest

Answers

Answer:

4

Step-by-step explanation:

Other Questions
Can someone help me with this question? I need the statement reasoning! Thank you so much I will mark brainliest! Marcus is a 16-year-old who has been feeling down for a long time and never leaves his room, where he just plays on his computer. A therapist treating Marcus will most likely be successful if he or she uses:__________ To the man and women who adopted a helpless child when she was brought to them;To the teachers who never really cared and ignored my problems;To those who never cared, never spoke, probably never knew my name;To the one true friend, whose caring was the only thing that prevented this even from happening sooner; Do not weep for me, or mourn my passing. I say this not because I expect to be missed, but to allow those who truly did not care go on with their lives with a clean conscience and dry eyes. I know you dont want to weep for me. So dont. But I do ask you to listen to the final words of a young girl who has taken charge of her own destiny.Perhaps my parents might feel something inside which causes them to shed tears. They may pretend that its sorrow for their loss, but I hope it is something else. Perhaps sorrow for bringing a child into this world when they really didnt have the time or desire to raise her. I wasnt the product of love, born of a desire to prepare another human being to grow and lead the human race. I was merely the next acquisition, the next task, the next project on their list of things that bring significance.No child should be brought into this world for the mere purpose of being just another possession. Why cant you accept the things that make other people different rather than insisting everyone conforms to your will?Sure, some did offer friendly gestures. Drew Wilson often would greet me and ask about my life. Not that I ever felt comfortable enough to tell her anything; I never trusted her enough to give her the chance. What was the purpose? You left me isolated and alone, and no words I could say can convey to you the suffering you caused. I could name names, but in doing so, I would do more now for you than you ever did for me in life.I do not know if what awaits me when I get down off this rope. Will there be a void? Or will I come face to face with God? I just dont care anymore. If youre anything like your people, I wouldnt want to know you. You preached to love one another, yet Ive felt everything except love from Christians. Even if I could know you were different, well, I still reject you. You have left your followers to treat people like me poorly. You have allowed so many of the people you love, including me, to suffer. So you want me to trust you with my life? I dont want to spend eternity with a careless deity like you, or with the company you keep.As my final moments tick away, I wonder what impact these words will create. It depends first on this web site being found, as I doubt whether school administration will want such venom spoken publicly about their lack of caring. Still, the Internet is a remarkable place where even the least significant individual can be heard. Will anyone listen? Will anyone take action? Will students pause and pay attention to the hur*ing hearts around them? And even if they do, will it be a temporary salve for their egos, to convince themselves theyre really not bad people or will real change happen?My heart certainly goes out to my fellow outsiders. With me gone, some of you will certainly feel more of the pain and h*rt that I did. No one understands you. No one cares how your day is going. No one bothers to get to know you as anything more than a nerd, a geek, a loser. You can do nothing for their social status, save the occasional boost to the ego they get from putting you in your place. Some of you, like Chloe Strum, will find outlets in music. Some, like Matthew Ohlson, will have an escape in Dr*gs. Some, like Hailie Duncan, will live their lives pursuing unicorns that they will never, ever catch. I never had a talent to lose myself in, or a dream or unicorn to chase, and so I have taken the path most dreaded. Some of you may soon join me, and I look forward to welcoming a brother or sister to the land where you will never su*fer the loneliness and rejection that faces you now.Farewell forever. I am going to another place. Where, I do not know. But logic dictates that it can only be an improvement. Perhaps my passing will only prove a footnote in a school yearbook. Then again, perhaps the sacrifice of one might bring hope to others. If my d*ath makes life for one person a little more bearable, or a little more enlightened, do I really d*e in vain?The needs of the many outweigh the needs of the few, or the one. A student is writing an essay about the history of the Army Camel Corp. She wants to use information from An Army Corp Like No Other in her work.Which detail from the text should she include to develop the topic, "benefits of camels over other pack animals"?Railroads soon replaced pack animals.Camels can carry more than horses.Thirty-three camels were purchased for $250 each.Camels are more stubborn than mules. A florist designs two high-profit arrangements a funeral wreath and a bridal centerpiece. The companys employees can complete up to 18 arrangements each day using up to 24 total person-hours of labor. It takes 4 person-hours to complete 1 funeral wreath, and 1 person-hour to complete 1 bridal centerpiece. How many of each type of arrangements should the florist produce daily for maximum profit, if the profit on a funeral wreath is $75and the profit on a bridal centerpiece is $40? Sally lee, the engineering manager, delegates tasks as a good manager should. However, mark hayes, the engineering director, has the bad habit of calling up sally unexpectedly to get detailed reports on various ongoing activities in sally's department. Sally does not want to hold daily staff meetings in order to satisfy mark's information needs because sally is quite certain that asking her professional staff to stand by and make daily reports will definitely be counterproductive, as all of them are known to prefer their independence. What should sally do? 2.On Fridays at the ballpark, a cup of soda costs $2, and each refill costs $0.50. If x represents the number of refills, which of thefollowing equations represents the amount a person spends on soda?OA. y = 0.5x + 2OB. y = 2x + 2.5OC. y=2x+0.5OD.y=0.5x + 2.5ResetSubmit1 of 10 AnsweredSession Timer: 3:33Session Score: 100% (1/1) 38 boys and 22 girls visit the zoo 33 of these children have a voucher twice as many boys as girls do not have a voucher HELP PLZ!!!! I BEG YOU PLZ!!!!! HURRY!!! FACTS!!! I'll GIVE BRAINLYEST!!!! 10 POINTS!!!!Which transformation were used to create triangle J'K'L?(There is no picture that comes with it!!!)A. dilation by a scale factor of 2 and a rotation of 90(degrees) clockwise about the origin. B. dilation by a scale factor of 1/2 and a reflection across the x-axis C. dilation by a scale factor of 2 and a rotation of 90(degrees) counter-clockwise about the origin D. dilation by a scale factor of 1/2 and a reflection across the y-axis QUICKWRITE Are the differencesbetween the sexes fundamentalor superficial? Write one or twoparagraphs in response to thisquestion. Include examples to supportyour opinion. I made this by misatem HELP ME PLSSS Which of the following number sentences is an example of the associative property of multiplication?O (12 * 3) 8 = 12 (3 x 8)6x1 = 64* 5 = 5 x420 * (10 + 6) = (20 x 10) + (20 * 6) 3x - 17 = 2x + 35Please help Vocabulary specific to a certain activity is a type of what language(a( Literal language)(b(Context language) (c( Technical language) (d( Figurative language) When Lucy was one month old her grandparents put $25 into a safety deposit box. The next month they put $30, followed by $35 the month after that. They continued adding money like this, each month adding $5 more than the previous month. Her grandparents told her they would continue doing so until her 18th birthday, at which point she could use the money to attend college. a) How much was added into the deposit box on Lucys 10th birthday?b) How much was added for the final deposit on Lucys 18th birthday?And Lukes father has told him that if Luke walks around the neighborhood for a whole day to pick up trash then he will pay him for doing so. He will pay Luke $0.20 for the first piece and increase the pay by 5% for each piece after that. This way Luke will get paid more for the pieces that are harder to find. (round answers to the nearest penny)a) How much money will Luke be paid for his 100thpiece of trash?b) If Luke picks up 150 pieces total, then what is the payment he receives for that final piece?AndRewrite the series in summation notation and find the total sum.-2+1+4+7+.+88 What does this equal too(2x-5)^2 i need some help with this Solve for b.r=3(b + a) Please help me match all the blanks answer thisss please