After Don ate 1/8 of the pie and Ron ate 1/7 of the remainder of the pie, the other five friends divided the rest of the pie equally among themselves what percent of the original pie did each friend eat?

Answers

Answer 1

x = the whole pie.

well, Don ate (1/8)x, how much was it left?  [tex]x -\cfrac{1}{8}x\implies \cfrac{x}{1} -\cfrac{x}{8}\implies \cfrac{8x-x}{8}\implies \cfrac{7x}{8}[/tex]

well, so that's the remainder.

Then Ron ate 1/7 of the remainder [tex]\cfrac{7x}{8}\div 7\implies \cfrac{7x}{8}\div \cfrac{7}{1}\implies \cfrac{7x}{8}\cdot \cfrac{1}{7}\implies \cfrac{x}{8}[/tex]

well, how much is it left?  [tex]\stackrel{\textit{Don leftover}}{\cfrac{7x}{8}}-\stackrel{\textit{Ron's bite}}{\cfrac{x}{8}}\implies \cfrac{6x}{8}\implies \cfrac{3x}{4}[/tex]

well, there are 5 friends how much did each one get from the whole pie?

[tex]\cfrac{3x}{4}\div 5\implies \cfrac{3x}{4}\div \cfrac{5}{1}\implies \cfrac{3x}{4}\cdot \cfrac{1}{5}\implies \implies \cfrac{3x}{20}\implies \stackrel{\textit{each friend}}{\boxed{\cfrac{3}{20}x}}[/tex]


Related Questions

Which of the following is a factor of
f(x) = x - 3x² - 64x - 60?
(x - 1)
(x - 3)
(x + 10)
(x+6)

Answers

Answer:

x-1

MARK ME BRAINLIEST PLS

cual de estas fracciones es mayor que 2/5?explica como lo has averiguado

Answers

Answer:

33333

Step-by-step explanation:

A crate has a mass of 6kg. Using the fact that the acceleration due to gravity is g=9.8 m/s2, how much work is done in lifting the crate 3m, in Joules? Round answer to one decimal place if necessary.

Answers

Work done = force applied * distance covered

Force = mass * acceleration

Therefore, Work done = mass * acceleration * distance covered

Parameters:

mass = 6kg

acceleration = 9.8m/s2

distance = 3m

Substitution:

Work done = 6 * 9.8 * 3

Work done = 176.4J (to 1 decimal place)

A circle has diameter 11 cm
Pythagoras theorem
Please answer will mark BRAINELIST:)

Answers

77 is the answer I think

x divide3=8 solve equation for x

Answers

Answer:

x = 24

Step-by-step explanation:

x ÷ 3 = 8

you multiply both sides by three

so it cancels out 3 and 8 × 3 = 24

so your answer is 24

hope this helps

Find the number that makes the ratio equivalent to 1:8.
9:

Answers

Answer:

Step-by-step explanation:

no i will nt help u cheat on your test

the answer is 2:16 because you can multiply both sides by 2

MATH

Which equation would you use to solve the following situation? If everybody on the team scores 4 points, and the team has a total of 28 points, how many people are on the team? 7 p = 28 4 p = 28 28 - p = 4 4 + p = 28

Answers

Answer:p=7

Step-by-step explanation:4x7=28

A jogger ran 13.5 miles in 3 hours.

What is the unit rate?

Answers

Answer:

Unit rate = 4.5 mph.

Step-by-step explanation:

Unit rate: 13.5/3

=> Unit rate: 4.5 mph.

Hoped this helped.

If a = 3 and b = 5, find a/b= option 1 = 5/3 option 2 = 3/5 option 3 = 2/5

Answers

Answer:

34

Step-by-step explanation:

yeah

Answer:

Answer is option 2 = 3/5

Step-by-step explanation:

a/b=3/5

NEED ASAP

in a company, 65% of workers are men. if 1,995 people work for the company who aren’t men, how many worker are their in all.

Answers

Answer:

5700

Step-by-step explanation:

Assume that the total number of people working for the company is x. Since 65% of workers are men and 1,995 people working for the working are not men, then that means that 35% of the total number of people working for the company is equal 1,995.

Set up an equation: 0.35x = 1,995 and find x.

x = 5700

A coin is flipped 10 times. What is the probability of getting exactly 4 tails?

Answers

Answer: The probability is approximately 20.51%.

Step-by-step explanation:

What is the slope of the line between the points ( 2 , 7 ) and ( 7 , 1 )?

Answers

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (7, 1 )

m = [tex]\frac{1-7}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex] = - [tex]\frac{6}{5}[/tex]

Hello there! :)

To find the slope of the line when we are given 2 points, we use the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{1-7}{7-2} \\\frac{-6}{5}[/tex]

So the slope is -6/5. Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]MysteriousNature :)[/tex]


What is the inverse of the function g(x)=
-3(x + 6)?
g-1(x) =

Answers

Here’s the answer. See pictures.

The perimeter of a regular heptagon is 21 m. How long is each side?

5 m
2 m
3 m
4 m

Answers

Answer:

3m

Step-by-step explanation:

A heptagon has 7 sides so 21÷7=3m

Answer:

3m

Step-by-step explanation:

3m X 7 is 21m

make me brainlist.

Ben participated in a diving competition from a platform 25 feet above the
water. Ben's height above the water in feet can be modeled by the
quadratic function f(t) = - + + 5t + 25 where t represents time in
seconds. During which time interval did the height of Ben's trajectory
increase?
=

Answers

The height of the springboard above the water should be h(0)

6,600,000,000 exponential notation

Answers

Answer:

6.6 x 10^9

Step-by-step explanation:

help with this please help

Answers

Answer:

10

Step-by-step explanation:

which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe.

Answers

Brodie I need help with this too dm me when u got the answer thanks love
Ps. - don’t forget to dm me

Cumulative GPA (CGPA) of a student is defined as the sum of the product of all grades multiplied by the credits of the corresponding class, divided by the sum of all credits. For instance consider a student took three courses with 3, 3, and 4 credits. Assume that the grades of this student from these courses are 4.0, 3.7, and 3.3.

The CGPA of this student is: __________

Answers

Answer:

probably about 3.5

Step-by-step explanation:

1.3.2 checkup - lessons learned

2. What is the slope of the line represented by the table of values below? How do you know?​

Answers

Answer:

y=2/3x-4

Step-by-step explanation:

we can see that x goes up 1 for every 1.5y and if we start y at 0 x starts at -4 so if y is one than x has to be 2/3-4 becuase it is -4 + 2/3 for every 1 y goes up or one for every 1.5 y goes up. hope this answer was helpful.

If f(x) = 3^{2+x}-3f(x)=3
2+x
−3, what is the value of f(-4)f(−4), to the nearest hundredth (if necessary)?

Answers

The answer would be -2.89

To solve this function, the x is replaced with the new value (-4) This means that once simplified it turns into 3^(-2) - 3
Once simplified this value equals -2.89 when rounded

Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.

Answers

9514 1404 393

Answer:

two solutions: t = -4, t = 4t = -4 is not reasonable4 seconds

Step-by-step explanation:

A graphing calculator shows the two solutions to be ...

  (t, h) = (-4, 18) and (4, 2)

__

The two heights will be equal when ...

  p(t) = b(t)

  -2t +10 = -t^2 -2t +26

  t^2 -16 = 0 . . . . subtract the right side expression

  (t -4)(t +4) = 0 . . . factor the difference of squares

  t = 4 or -4 . . . . values of t that make the factors zero

At these times, the heights will be ...

  p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}

The solutions are ...

  (t, height) = (-4, 18) and (4, 2).

__

We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.

__

The rocket and ball reach the same height after 4 seconds.

Which expressions have a value of 54 when v= 6? Choose all the correct answers.
A 2(v2 – 9)
B V3 = 18 + 3
C (2v)2 – 90
-
D 13 = 3 – 18
E 2(v2 – 90)
F (v + 2)2 – 10

Answers

I think its E or maybe D if D has a spelling error

-2-(3(x+6)-9-(7-x)-3x

Answers

Answer:

- 24 - 5x

Step-by-step explanation:

1) Remove Parentheses

-2 - 3x - 6 - 9 - 7 + x - 3x

2) Collect like terms

( -2 - 6 - 9 - 7) + (-3x+x-3x)

3) Simplify

Scores on a recent exam followed a normal distribution and letter grades will be assigned with 15% A, 35% B, 30% C, 15% D, and 5% F. Suppose that Sue took the exam and had a standardized score of 0.85. What letter grade will Sue get?

Answers

Using the normal distribution, it is found that Sue will get a letter grade of B.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, Sue got a grade of 0.85, hence [tex]z = 0.85[/tex].

Looking at the z-table, z = 0.85 has a p-value of 0.8023, hence she is approximately in the top 20%, which is below the top 15% but above the top 50%, hence she got a letter grade of B.

A similar problem is given at https://brainly.com/question/25745464

A. What is the formula for exponential growth?
B. What does each variable mean?


Please someone help!!! It’s for my final pleaseee!!!

Answers

Answer:

A. exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r. ... r is the percent growth or decay rate, written as a decimal, b is the growth factor or growth multiplier.

darlene has a rooftop carrier for her car. She puts 5 items in the carrier
with the following weights, in pounds: 10.4, 13, 8, 112, and 15.7.
3
10
A. Write and evaluate an expression to find the total weight of the
5 items.

Answers

Answer:

159.1

Step-by-step explanation:

The expression would be 10.4+13+8+112+15.7, which equals 159.1 which is the total weight.

Q1). A={1,2,3} B={2,3,4}. Find (A∩B) xA​

Answers

Step-by-step explanation:

Given sets are :

A = {1, 2, 3}

B = {2, 3, 4}

AnB = {1, 2, 3} n { 2,3,4 }

AnB = {2,3}

Now

(AnB) X A

⇛ { 2,3 } X { 1 , 2, 3 }

⇛ { (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }

(AnB) X A for the given problem is

{ (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }

Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test.
B. Yes, because it passes the vertical line test
C. Yes becquse it has two straight lines
D. No because it is not a straight line

Answers

Answer: A. No because it fails the vertical line test

The graph does not represent function because it fails the vertical line test.

What is Function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The "function" would pass the vertical line test if the two lines meet at an angle larger than 90 degrees and the base line is horizontal.

Here, the vertical line test indicates that it is invalid.

The "vertical line test" primary consideration whenever it appears in an option. In this instance, failing the vertical line test is defined as all x values having two y values.  

Thus, graph does not represent function.

Learn more about Function here:

https://brainly.com/question/12954651

#SPJ2

Similar Triangles
In the figure below, AB has length 6 feet, BC has length 8 feet and CD has length 7 feet.
If angles B and D are right angles, what is the length of DE rounded to the nearest tenth foot?

Answers

Answer:

5.3 ft

Step-by-step explanation:

Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.

Other Questions
if identical firms remain in competitive market over long run make zero economi profit why choose to remain What is the slope of a line passing through the points (2, 5) and (0, 4)? Choose the correct definition of lineage.A the collective families in a villageB the collective descendants of a common ancestorC the collective siblings of an individualD the collective territory of an extended family Using this portion of the German constitution, which statement is MOST likely true? A) The German government controls the media. B) Germans are protected from discrimination. C) Germans have far fewer rights than Americans. Eliminate D) The German people have to attend Christian churches. The global population during WWI was about 2.3 billion. About what percent of the global population died in the war? Escriba una oracin de ejemplo para el uso de coma para evitar repetir el verbo. In order to overcome the ________ problem, interest groups often provide ________ to their members. free-rider; collective goods free-rider; selective benefits principal-agent; collective goods principal-agent; selective benefits corporations contribute about what share of all giving in the united states? Causes and effects King victor emmanuel III puts Mussolini in charge of the government Explain why some metals are extracted by heating their oxides with carbon, but some metals cannot be extracted in this way What principles are shown in the passage and how?"...No scutage shall be imposed on our kingdom, unless by common counsel of our kingdom...And for obtaining the common counsel of the kingdom...we will cause to be summoned the archbishops, bishops, abbots, earls, and greater barons..."The four principles are:Limited GovernmentRule of LawIndividual RightsShared PowerNote: This is about the Magna Carta Which sentence is the best example of writing that uses formal English?(1 point) It is with great honor that I present the School Leadership Award to Mrs. Jade Philips for outstanding service to the school. It is with great honor that I present the School Leadership Award to Mrs. Jade Philips for outstanding service to the school. It's awesome for me to give the School Leadership Award to someone as cool as Mrs. P. It's awesome for me to give the School Leadership Award to someone as cool as Mrs. P. It's an honor to give Mrs. Philips the School Leadership Award cuz she is just the best at her job. It's an honor to give Mrs. Philips the School Leadership Award cuz she is just the best at her job. It is really great to give Mrs. Philips the School Leadership Award because nobody does more for the school than she does! It is really great to give Mrs. Philips the School Leadership Award because nobody does more for the school than she does! plz answer this question if you know it Which metaphor most closely describes the nature of spacetime? Why was fighting against the British Royal Navy a challenge for the Americans? draw a diagram for this fraction2 2/3 What is a central idea of "Mending Wall"?The speaker persuades his neighbor to accept his view that building a wall will improve their relationship.Two neighbors have different ideas about the role that borders serve in maintaining relationships between people.The speaker argues with his neighbor because he believes that walls are necessary, and his neighbor does not.Two neighbors agree that they should work together to rebuild a wall each spring How to teach multiplication with 2 digit numbers. consider the graph of a linear equation. see below , which statement is true? Leaving the handler of the pan pointed out so so he can grab it easily. Leo quickly walk past the stove to get some hand burger meat from the refrigeratorWhat should he have never done .