Graham is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled. The paper starts out flat, with a thickness of 3 millimeters.
A. Write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. Explain how you came up with your ordered pairs.
B. Is this relation a function? Explain why or why not using the ordered pairs you came up with in Part A.

Answers

Answer 1

Answer:

I just did this on my flvs exam! A:

The ordered pairs are

0,3

1,6

2,12

3,24

4,48

5,96

B: this is a function, because for each output value, there is exactly 1 input value

Step-by-step explanation:

Notice how output values are added to eachother as they increase


Related Questions

The Hendersons went on a driving vacation. They decided to travel 1/3 of the distance on the first day. Owing to bad weather, they had to stop for the night having gone only 1/4 of the distance to the one-third point.
What fraction of the total distance did they travel the first day? Show your work and reduce to lowest terms.


Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk, then gave 3/4 of what was left to a calf.
How much of the bottle of milk did the calf drink? Show your work and reduce to lowest terms.

Nathan used 2(5/6) loaves of bread to make sandwiches for a lunch. He made equal numbers of 4 different types of sandwiches.
What fraction of a loaf of bread did Nathan use for each type of sandwich?

Answers

Answer:

A)

[tex]\displaystyle \frac{1}{12}[/tex]

B)

[tex]\displaystyle \frac{3}{5}[/tex]

C)

[tex]\displaystyle \frac{17}{24}[/tex]

Step-by-step explanation:

Part A)

The Hendersons were traveling 1/3 of the distance on the first day.

However, they had to stop, having only traveled 1/4 of the 1/3 distance.

So, we can multiply the two fractions together.

Therefore, the fraction of the total distance they traveled is given by:

[tex]\displaystyle \frac{1}{4}\times\frac{1}{3}=\frac{1}{12}[/tex]

The Hendersons traveled 1/12 of the total distance.

Part B)

We are assuming the bottle of milk was full at the beginning.

So, at the beginning, there were 1/1 bottle of milk left.

Howie fed a piglet 1/5 of the bottle. So, there is now:

[tex]\displaystyle 1-\frac{1}{5}[/tex]

Of the bottle left.

Making common denominators and subtracting yields:

[tex]\displaystyle =\frac{5}{5}-\frac{1}{5}=\frac{4}{5}[/tex]

So, after feeding the piglet, 4/5 of the bottle of milk was still there.

3/4 of the remainder was fed to a calf.

So, the amount that was fed to the calf is 3/4 times 4/5. Therefore:

[tex]\displaystyle \frac{3}{4}\times\frac{4}{5}[/tex]

Multiply:

[tex]\displaystyle =\frac{12}{20}=\frac{3}{5}[/tex]

So, the calf drank 3/5 of the bottle of milk.

Part C)

Nathan used 2 (5/6) loaves of bread to make 4 sandwiches.

First, convert 2 (5/6) to an improper fraction. So:

[tex]\displaystyle 2\frac{5}{6}=\frac{12+5}{6}=\frac{17}{6}[/tex]

Nathan made 4 sandwiches using this. So, we will divide this by 4. Note that this is the same as multiplying by 1/4. Therefore:

[tex]\displaystyle \frac{17}{6}\times\frac{1}{4}=\frac{17}{24}[/tex]

So, Nathan used 17/24 loaves of bread per sandwich.

someone help me please im very stuck

Answers

Answer:

(0,2)

Step-by-step explanation:

from y=mx+b to find the y intercept b

Answer:

y = -7

Step-by-step explanation:

It's a horizontal line so y is constant, it would be y = b because the slope is 0.

Since it passes through the point (5, -7) we can assume the line is at y = -7

Ben has a music book with 84 songs. He has learned how to play 25% of them. How many songs in the book does Ben NOT know how to play

Answers

Answer:

63

Step-by-step explanation:

This is because 25% of 84 is 21. He knows how to play 21 songs. 84-21=63.

63 is how many songs he does NOT know how to play.

Answer:

The answer is 63.

----------------------------------

24% of 84 is 21. 84 - 21 = 63.

Tristan is selling plastic and wooden picture frames. He sells 7 frames total. The number of plastic frames Tristan sells is 5 less than twice the number of wooden frames. How many of each type of frame does Tristan sell?

Answers

Answer:

4 wooden and 3 plastic

Step-by-step explanation:

4 (wooden) × 2 - 5 = 3 plastic

3 (plastic) + 4 (wooden) = 7 total

The number of plastic frames is 4 and the number of wooden frames is 3.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given statement:

The number of plastic frames Tristan sells is 5 less than twice the number of wooden frames.

The total number of frames sold by Tristan is 7.

Write the equation for the above statement,

p = 2w - 5

Here, p is a plastic frame and w is a wooden frame,

p + w = 7

Solve the equation by using the elimination method,

p = 4 and w = 3

Therefore, the number of plastic frames is 4 and the number of wooden frames is 3.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

Hector runs laps around the track. The table shows how long it takes him to run different numbers of laps. How long would it take Hector to run 7 laps?
A.35 minutes

B.25 minutes

C. 15 minutes

D. 45 minutes

Answers

You were supposed to put a picture of the graph
i don’t see a graph so i can’t answer

Lars did some research on how much it would cost him to buy a gym membership.

At Murfield Country Club, a membership costs $20. Every time Lars goes to the gym he must pay an additional $30/hour.
At Pete’s Gym, it would cost Lars $80 for 2 hours and $120 for 3 hours.
a) Which of the two companies charges no initial fee? How do you know?



b) What is the slope of each line? (Murfield Country Club and Pete's Gym).

Slope for Murfield Country Club =

Slope for Pete’s Gym =



c) Write the equation for each line. (Murfield Country Club and Pete's Gym).

Equation for Murfield Country Club =

Equation for Pete’s Gym =

Answers

Answer:

A. it would be Pete's gym because he doesn't have to pay for a membership as well as paying $30 per hour he only has to pay for the hourly cost.

B. Lars-starts at 20 then goes to 50 then 80 ect... goes up by 30 starting at 20 because of the membership he payed.

Pete's- starts at 0 then to 40, 80, 120, 160 ect... goes up by 40 starting at zero.

C. MCC- 20+(30*y)

PG- 40*y

Step-by-step explanation:

This table models a linear function.
x −12 −8 −4 4
y 4 2 0 −4

Enter the coordinates of the y-intercept in the boxes.

Answers

Answer:

(0,-2)

Step-by-step explanation:

(0,-2) is the correct answer.

A school is going on a field trip to the zoo. There were s amount of students. The tickets cost $15 each. The school ended up giving the zoo $2,550 for all of the tickets. Write and solve an equation to figure out how many students are going on the trip.

Step by step

Answers

15s=2550
(divide both sides by 15)
S=170
170 students went

Answer:

15 times x which would be the students   or you could do 2550 divided by 15 and you get 170 students

Step-by-step explanation:

Is 24/36 ,= 4/6 idk please help me people

Answers

The answer is 2/3

24/36 both can decided by 12.
there’s 3 answers,

24/36 divided by 4 = 6/9

24/36 divided by 6 = 4/6

24/36 divided by 2 = 6/18

24/36 divided by 12 = 2/3

basically your correct.

-8(-6+2j) thank you it’s pretty easy

Answers

Answer:

48 - 16j

Step-by-step explanation:

Answer:

-16j+48

Step-by-step explanation:

Simplifying

Rearrange Terms

[tex]-8(-6+2j)\\-8(2j-6)\\[/tex]

Distribute

[tex]-8(2j-6)\\-16j+48[/tex]

Ben bought 2 shirts for $16 each, 3 pairs of socks for $2.50 a pair, and a pair of jeans for $37.75. If the sales tax rate is 6.5%, how much did he pay for his items, including tax?
$127.46

$92.81

$82.27

$59.91

Answers

Answer:92.81

Step-by-step explanation:

Answer:

$82.27

Step-by-step explanation:

First, figure out how much it would be without tax.

(2*16=32) + (3*2.50=7.50) + 37.75 = 77.25

Then, multiply this number by your tax rate.

77.25*6.5 = 5.02

Lastly, add your original total with this tax amount for your answer.

77.25+5.02= 82.27

Can you help me get this done by tonight pwitty pweeez... with a chewwy on top

Answers

Answer:

Step-by-step explanation:

try desmos calculator

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error?
Ankur multiplied the compatible numbers 15 and –3.
Ankur found that the quotient of a positive number and a negative number is negative.
Ankur found that the quotient of a positive number and a negative number is positive.
Ankur added the compatible numbers 15 and –3.

Answers

Answer:

123/78

Step-by-step explanation:

Answer:

its C, Ankur found that the quotient of a positive number and a negative number is positive.

Step-by-step explanation:

i got it right on edge

Please help 15 points and brainliest!

Answers

C because the proportions are equal and multiplied by 4/4

At a book store there are 25 books on the clearance section. 20 of the books are young adult novels and the rest of the books are picture books. Which statement is not true? *
A) For every 4 young adult novels, there is 1 picture book
B) For every 5 books, 4 are young adult novels
C) The ratio of picture books to young adult novels is 1:4
D) There is 1 picture book for every 5 books
E) All statements are true

Answers

The statement that is not true is A
Option A is not true

please help me guys :(

Answers

Answer:

6(11+4+13) is the correct answer hope this helps

Step-by-step explanation:

A school allots £2500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for
1/5off.
A train ticket for the day will cost £20 each.
If 3 teachers and the maximum number of students attend, how much money will the school have left over?

Answers

Answer:

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off. A train ticket for the day will cost £20 each. If 3 teachers and the maximum number of students attend

Step-by-step explanation:

Ethan’s cookie recipe uses 3 cups of sugar to make 21 cookies. Mia’s recipe uses 4 cups of sugar to make 24 cookies. Who's recipe has more sugar per cookie?

Answers

Alright, so ethan’s cookies would be 21 cookies per 3 cups of sugar. So you would do 21/3 to find you get 7 cookies per one cup of sugar

Then Mias cookies are 24 cookies per 4 cups of sugar. You would do 24/4 to get 6, so 6 cookies per cup of sugar.

Mia’s cookies make less cookies per cup of sugar, so they’d have more sugar in them.

Mia- 6:1
Ethan- 7:1

A circular swimming pool measures 79 feet around. What is the diameter?
A. about 200 ft
B. about 25 ft
C. about 50 ft
D. about 100 ft

Answers

Answer:

B. about 25 ft

Step-by-step explanation:

you have to add the numbers up a   4 tiems then your awnser comes in and if not multiply 79 2 times your welcome

Step-by-step explanation:

For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate.
The graph shows how he calculates the cost of a babysitting job.
Drag numbers to complete a linear function in terms of x and y to model the situation.
Numbers may be used once, more than once, or not at all.
PLEASE I NEED HELP ASAP!!!!
You get 87 pointss please help meee

Answers

Answer:

Can you add more to it because this does not make sense if they numbers are already on the chart what numbers can we use

Step-by-step explanation:

Answer:

y = 6x + 2

Step-by-step explanation:

I'm a math expert. If I helped you, give me brainliest.

Need help on
These 2 questions

Answers

Answer:

so the answer to the bottom problem is 69

hope this helped i use desmos scientific counculator

- the chair with internet

Twenty seven minus ten plus four



Because according to pendas parentheses come first before adding subtracting and multiplying!

I hope this picture makes you feel better

Answers

haha thanks :) you made my day!

6/7 1/2 in simple form

Answers

Answer:

6/7 is 6/7 and 1/2 is 1/2 unless your trying to divide them then it would be 1 5/7

Step-by-step explanation:

PLEASE, I NEED THIS NOW!!!!

Answers

Answer:

For the first one

x= About 32.02

y= About 27.58

z= About 55.16

For the second one

x= 6

y= 12

z= about 16.97

Step-by-step explanation:

Their all really simple

These are special right triangles, a 45, 45, 90 and a 30, 60, 90 triangle. The formla for these triangles are shown in the picture below.

Now for the first one ]

Lets find Z first

Now this is a 45 special right triangle so we know the other side s 39 but the hypotenuse is n[tex]\sqrt{2}[/tex] (I’m using N becuase x and y is taken) So n is basically 39 (look at the image below) and just solve that. Now for x and y. We know its a 30, special right triangle. We know that 39 here is already the answer for  N[tex]\sqrt{3}[/tex] so make an equation to find the n and you’ll get 27.58 for y. Now For x, its just doubled the y.

For the second one this is easier

We know that the x is (6) becuase its already in the radical number, now to find the hypotnuse, we double that and get 12. Now we know what y is becuase since the 2nd triangle is a 45/45/90, we know that 12 is y, the hypotnuse is just N[tex]\sqrt{2}[/tex] and we just plug in the n with 12 and solve it!

Please solve it for me because I am stuck.

Answers

Answer:

1. m=undefined

2. m=1/2

3. m=2/3

For number 1, the slope is undefined because all lines that are vertical have an undefined slope.

Hope this helps! :)

I always hated graphing it’s hard

Brad has walked 4/9 of his goal distance this month. If his goal is 27 miles, how many miles has Brad walked

Answers

Answer:

12 miles

Step-by-step explanation:

you would multiply 4/9 by 27 and you would get 12 miles in total.

12 miles !!!!!! Is correct :)

Select all that apply.

Which of the following are equivalent?

Answers

Answer:

the top 3

Step-by-step explanation:

Zis 3 :33333333333333

it costs $3.45 to buy 3/4 lb of chopped walnuts. how much would it cost to purchase 7.5 lbs of walnuts?

Answers

Answer:

$6.75 I THINK

Step-by-step explanation:

I struggled to figure this out and I'm pretty sure its $6.75 but im not sure :(

I think 6.45 too
:)

There are no values of x and y that make y = -x + 10 and y = 2x + 4 true at the same time. True or False

Answers

Answer:

False

Step-by-step explanation:

there is no number for x and y to make both true

hop it helps :)

The person above is right

Jake and his older brother are canoeing in a creek near their home. If they paddle at a steady rate of 4 mph, how far will they travel in 3 hr.?

Answers

Answer:

12 miles

Step-by-step explanation:

mph = mile per hour

So if they travel 4 miles per hour, 4(3) = 12, they will travel 12 miles by 3 hours

Answer:

dude that's 12

Step-by-step explanation:

just multiply 4 mph times 3 hr

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