The model is shaded to represent the remaining one-half of a cake. Three friends will each receive an equal amount of the remaining cake until it is all gone.







Which equation can be used to determine the fraction of the whole cake each friend will receive?

Answers

Answer 1

Answer:

The model is shaded to represent the remaining one-half of a cake. Three friends will each receive an equal amount of the remaining cake until it is all gone.

cake


Related Questions

using the rule y= 7 x-5,find the value of y when x is 3

Answers

Answer:

16

Step-by-step explanation:

If x = 3, then all we must do is substitute.

y=7(3)-5

y= 21 -5

y= 16

---

Hope I helped :)

Consider the following system of equations.

1. 75x + 1. 25y = 2. 75

7x + 5y = 9


What is the solution to the system?


Since 11 ≠ 9, there is no solution.


Since 0 = 0, there are infinitely many solutions.


There is one solution, x = 0 and y = 0.


There are two solutions (11, 0) and (0, 9)

Answers

Multiply the upper system by -4:

[tex] - 7x - 5y = - 11[/tex]

[tex]7x + 5y = 7[/tex]

[tex]0 = - 3[/tex]

[tex]this \: system \: admits \: no \: solutions[/tex]

The diagram shows the curve with equation y = ( 1 + x ) cosx.

Complete the table below for points on the curve, giving the y values correct to 3 decimal places where appropriate.

Answers

Answer:

y = 1, 1.319, 1.024, 0

Step-by-step explanation:

Given equation:

[tex]y=(1+x)\cos x[/tex]

[tex]\textsf{when}\:x=0:[/tex]

[tex]\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{6}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{3}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{2}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}[/tex]

gift card for 25 dollars 4 dollars per pair 5 dollars off

Answers

Answer:

i dont know but i will try

Step-by-step explanation:

example

34 dolars look i have answer

10 identical copies of a movie will be stored on 40 computers such that each computer has at most 1 copy. How many different ways can the 10 copies be stored

Answers

We will see that there are 847,660,528 different ways in which the copies can be stored.

In how many ways can the 10 copies be stored?

So, we know that the copies can be stored in any of 40 computers, such that each computer can get, at most, one copy.

Then what we need to do is find how many different combinations of 10 computers can we make with the set of 40 computers, this is given by using the combination formula:

[tex]C(40, 10) = \frac{40!}{(40 - 10)!*10!} = \frac{40*39*38*37*36*35*34*33*32*31}{10*9*8*7*6*5*4*3*2} = 847,660,528[/tex]

This means that the 10 computes can be selected in 847,660,528 different ways, so there are 847,660,528 different ways in which the copies can be stored.

If you want to learn more about combinations, you can read:

https://brainly.com/question/11732255

If the slope of a line is -4 find y when (2,y) and (3,8)

(Someone please explain I'm so confused)

Answers

Answer:

y=12

Step-by-step explanation:

[tex]slope=\frac{y2-y1}{x2-x1} \\-4=\frac{8-y}{3-2} \\-4=8-y\\y=8+4=12[/tex]

Kiwi fruit contains roughly two and a half times as much vitamin C as the same weight of oranges.

What weight of kiwi fruit contains approximately the same amount of Vitamin C as 1kg of oranges

Answers

Using proportions, it is found that 400g = 0.4kg of kiwi fruit contains approximately the same amount of Vitamin C as 1kg of oranges.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Kiwi fruit contains roughly two and a half times as much vitamin C as the same weight of oranges. Hence, if there is 1 kg = 1000g of oranges, the weight of kiwi fruit is given by:

1000/2.5 = 400g = 0.4kg.

More can be learned about proportions at https://brainly.com/question/24372153

solve the inequality; x2-x-2>0

Answers

Answer:

x > 2/3

Step-by-step explanation:

2x -x - 2 > 0  

add 2x and x (It becomes 3x)

3x -2 >0

subtract 0 from both sides

3x> 2

divide 3 on both sides

And the answer is

X> 2/3

The volume of a​ cone-shaped hole is 147 pi ft3 If the hole is 9 ft deep, what is the radius of the​ hole?

Please help!!

Answers

radius : 3.95 ft

[tex]\sf volume \ of \ cone: \dfrac{1}{3} \pi r^2h[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{3} \pi r^2(9) = 147[/tex]

[tex]\hookrightarrow \sf r^2 = \dfrac{147*3}{\pi (9)}[/tex]

[tex]\hookrightarrow \sf r = \sqrt{\dfrac{147*3}{\pi (9)}}[/tex]

[tex]\hookrightarrow \sf r = 3.95 \ ft[/tex]

Goal: Gather and organize statistical data in frequency distribution table.
Role: Statistician, Data Analyst
Audience: Math Teacher, Adviser
Situation: Your Math Teacher asked your class to conduct a simple survey to
determine the number of learners who are using gadgets in your school.
Product/ Performance:
You were asked to look for at least 15 individuals among your friends within
your school and construct a frequency distribution table on each category:
A. gender
B. preferred distance learning modality (online, modular, blended)
C. available gadget used in distance learning (smartphone, laptop,
tablet, desktop, or none)

I'm looking for a serious answer. I need to pass this on monday. Thank you.

Answers

Frequency distribution tables are a tool for organizing data and obtaining additional information.

What is the frequency distribution?

The frequency distribution is a term to refer to a type of tables that are used in the area of statistics to organize data.

In the frequency distribution tables, the different variables are arranged by rows. The columns show the number of occurrences for each value, percentages, among others. These types of tables are an ideal tool to analyze data and obtain specific information.

Learn more about frequency distribution table in: https://brainly.com/question/12385304

What is the mean of the data set?

{7, 9, 5, 4, 3, 6, 8}

Enter your answer in the box.

Answers

The mean of the data set is 6


Explanation: to find the mean (average) of a data set you add up all of the numbers and then divide by how many are present.

7+9+5+4+3+6+8=42

Since there are 7 numbers present we divide our answer by 7.

42/7 = 6

So the mean of the data set is 6

Find the surface area of the figure. Be sure to show all of your work and steps in solving
for your answer.

Please show me the steps and solutions not just answers pls pls pls help me, tysm!!

Answers

The surface area of the figure which comprises two rectangular prisms is: 328 in.²

What is the Surface Area of a Rectangular Prism?

Surface area = 2(wl+hl+hw)

Decompose the given figure into two.

Surface area of the figure = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of base of the top rectangular prism)

Surface area of top rectangular prism:

l = 6 in.

w = 4 in.

h = 5 in.

Surface area = 2(wl+hl+hw) = 2(4×6 + 5×6 + 5×4) = 148 in.²

Surface area of bottom rectangular prism:

l = 6 in.

w = 9 in.

h = 4 in.

Surface area = 2(wl+hl+hw) = 2(9×6 + 4×6 + 4×9) = 228 in.²

Area of base of the top rectangular prism:

Area = (l)(w) = (6)(4) = 24 in.²

Surface area of the figure = 148  + 228 - 2(24)

Surface area of the figure = 328 in.²

Learn more about surface area of a rectangular prism on:

https://brainly.com/question/1310421

Traingle Congruence, FlowChart Proof Level2, 10th Grade​

Answers

Answer:

Step-by-step explanation:

→1.

Statement : AB ≅AD  (side)

Reason: Given

→2.

Statement : ∡BAC≅∡CAD  (angle)

Reason: Given

→3.

Statement : AC ≅AC  (side)

Reason: Reflexive Property -a side is congruent with itself

Statement : ΔABC ≅ΔADC

Reason: Side-Angle-Side Theorem of Congruency

(If two corresponding sides of two triangles are congruent and the corresponding angles between those two sides are congruent then the two triangles are congruent)

A bookshelf contains 9 mysteries and 7 biographies books. A book is randomly selected and not replaced.
What is the probability that the first book is mystery and the second is the biography?

Answers

Answer:

The answer is 7/30

Step-by-step explanation:

According to counting rules, we use permutation when we want to choose successively and without replacement, as given in this problem

Rule of permutation: nPr = n! /(n-r)!

where: n:objects and r:sample

n of mysteries=9  ;   r of mysteries=1  ;  ⇒ 9P1

n of biographies=7  ;  r of biographies=1  ;  ⇒ 7P1

n of total books=9+7=15  ;  r of total books=2  ;  ⇒15P2

Probability=( 9P1 x 7P1 ) / 15P2 = 49/210 = 7/30

Hope this helps :)

Pls help quick

the

A garden store bought a fountain at a cost of $995. 66 and marked it up 100%. Later on,

store marked it down 25%. What was the discount price?

Answers

hope it really helps......!!!!!

Give the person above brainiest

What is the volume of this pyramid? 32 cm 9 cm 15 cm​

Answers

Answer:

720cm^3

Step-by-step explanation:

The volume of the pyramid with a = 9cm, b = 15cm and l = 32cm is 720cm^3.

Answer:

720³ cm

The formula for volume is...

length ×width ×height

With that information, we should multiply the smaller numbers first.

[tex]B = \frac{1}{2} xy[/tex]

Replace the substituted parameters with 9 and 15, then multiply them and solve.

[tex]B = \frac{1}{2}(9)(15) = \frac{135}{2}[/tex]

UseV for volume.

[tex]V = \frac{1}{3} * \frac{135}{2} * 32 = 45 * 16[/tex]

Reducing the expression ↓

[tex]V = 720^3~cm[/tex]

Hence, the volume is 720³ cm

You have $5,000 to invest for ten years. Crown of The Sun bank pays compound interest at an annual rate of 4.5%. Calculate your balance after 10 years. Round to the nearest hundreth

Answers

Answer: $7,764.85

Step-by-step explanation:

Use the formula for Compound Interest: CI = P(1 + r/n)^nt

CI = 5000(1 + 0.045/1)^10

CI = 5000(1.045)^10

CI ≅ $7,764.85

After 10 years, the balance should be $7,764.85

Answer:

$7764.85

Step-by-step explanation:

Assume the compounding is annual.

F = P(1 + r/n)^(nt)

F = 5000(1 + 0.045/1)^10

F = 7764.85

Answer: $7764.85

A store owner bought a grill for $180, then
marked it up 25% to sell in his store. If a
customer has a coupon for 25% off and
purchases the grill, which statement is true?
A. The customer paid the same
amount the store owner paid.
B. The customer paid $8.75 less
than the store owner paid.
C. The customer paid $11.25 less
than the store owner paid.
D. The customer paid $9.50 more
than the store owner paid.

Answers

Answer:

A. The customer paid the same

amount the store owner paid.

Step-by-step explanation:

its adding 25% of the original $180, then immediately decreasing 25% of the original $180, thus the customer paid the same amount the store owner paid.

C

The higher the number, the more you divide

Here is my way of doing this

I divide it by 10 then multiply by 7.5

So 225 divided by 10 is 22.5

I multiply by 5 and get 112.5 or do 20 x 5 and add 12.5 because the other 2.5 x 5 is 12.5

Then divide it by 2 and add it to the 112.5

So 110 divided by 2 is 55 and 2.5 divided by 2 is 1.25 so 55 + 1.25 is 56.25

Now we add 112.5 + 56.25 is 168.75

180
-168.75 = 11.25

Find the surface area of the prism:

Answers

Answer: the prism has a surface area with 920

Find the area, no need to explain, need this quick!!

Answers

Answer:

A = 201.5 m2

Step-by-step explanation:

[tex]A=76.5+65+60=201.5[/tex]

Hope this helps

How can you decompose the composite figure to determine its area? as a pentagon and four semicircles as two rectangles and four circles as a square and four semicircles as two triangles and four circles

Answers

Answer: as a square and four semicircles

Step-by-step explanation:

The composite shape area can be found by first decomposing the figure as: a square and four semicircles.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

to Find the Area of a Composite Figure:

To find the area of a composite figure, the first thing to do is to identify the individual shapes that make up the figure, then find the area of each shape before adding all the areas together.

For a composite figure that is comprised of a square and 4 semicircles, the composite figure would be decomposed into: a square and four semicircles.

Hence, The composite shape area can be found by first decomposing the figure as: a square and four semicircles.

Learn more about composite figures on:

brainly.com/question/15981553

#SPJ5

I need help with this assignment, please help

Answers

Answer:

A

Step-by-step explanation:

We need to first find the number of dice rolls. The amount of dice rolls equals 8+9+5+15+2+11=50. And 8 out of thouse 50 were ones, so 8 out of 50 rolls is also 4 out of 25 rolls.

Find the surface area of each solid.

Answers

Answer:

232 in^2

Step-by-step explanation:

This rectangle has 6 surfaces:

Front: 10 x 8 = 80

Back: 10 x 8 = 80

Top: 10 x 2 = 20

Bottom: 10 x 2 = 20

Side: 8 x 2 = 16

Side: 8 x 2 = 16

Total surface area: 232 in^2

What value of x is the solution to the equation −3/2x−3/4=−1/5 ?

A
−19/30

B
33/40

C
−19/20

D
−11/30

Answers

Answer:

[tex]\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

-3/2x-3/4=-1/5

First, add by 3/4 from both sides.

[tex]\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }[/tex]

Solve.

⇒ = -3/2x=11/20

Then, you multiply by 2 from both sides.

2(-3/2x)=11*2/20

Solve.

11*2/20

11*2=22

22/20

Common factor of 2.

11/10

-3x=11/10

Divide by -3 from both sides.

[tex]\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}[/tex]

Solve.

[tex]\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}[/tex]

Therefore, the correct answer is D. x=-11/30.

I hope this helps! Let me know if you have any questions.

1. Find the value of X and Y:

2. Find the value of X:

Answers

Answer:

Step-by-step explanation:

please help if you can xx

Answers

Answer:

Below in bold.

Step-by-step explanation:

The angle in a regular octagon =  180 - (360/8) = 135.

Using trigonometry  sin (135/2) = k/2 / EF

sin 67.5 = k / 2EF

2EF = k / sin 67.5

EF = k / 2 sin 67.5 = k/1.8478

Perimeter of octagon = 8 * k/1.8478

= 4.33k to the nearest hundredth.

1. Carol jogged 13 miles on 5 days last week.
She jogged 22 miles on 4 days this week.
Was her total distance greater last week or
this week? How much greater? Explain.

Answers

13 x 5 = 65
22 x 4 = 88
She jogged 65 miles last week and 88 miles this week, so she her total distance this week was greater.
It was 23 miles greater.
Explanation: 88 miles is greater than 65 miles by 23 miles because 88 - 65 = 23.
Any Questions?

2. Draw what might be the missing figure in
the pattern below.
Please helps
Please I’m stuck in the answer

Answers

Answer:

PLEASE ATTACH THE FIGURE LIKE THIS.....

raise r to the 7th power, then double the result

Answers

Answer:

[tex]\huge\boxed{\bf\:2r^{7}}[/tex]

Step-by-step explanation:

Let the variable be taken as 'r'.

Then, by raising it to the 7th power, we'll get the result as [tex]\downarrow[/tex]

 [tex]\sf\:Raise \: r \: to \: the \: 7^{th} \: power = r \: with \: 7 \: as \: its \: exponent.\\\\\sf\:Then,\\\dashrightarrow \underline{\bf\:r \: ^{7}}[/tex]

Now, by doubling the result....

[tex]\sf\:To \: double \: the \: result = multiply \: the \: result \: by \: 2.\\\\\sf\:Then,\\\dashrightarrow \sf\:r \: ^{7} \\=\boxed{\bf\: 2r\:^{7}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

2r⁷

Step-by-step explanation:

Raise r to 7th power

= r⁷

Double it

= 2r⁷

_________

Hope it helps ⚜

Benny went to his local zoo that featured 11 reptile exhibits. if these reptiles exhibits make up 55% of the zoo's exhibits, then how many exhibit does the zoo have in total?​

Answers

Answer: 20 exhibits

Step-by-step explanation:

    If 11 is 55%, we need to find 100%. We will set up a proportion and solve. Percents are on the bottom, exhibits are on the top.

[tex]\frac{11}{55}[/tex] = [tex]\frac{x}{100}[/tex]

    Cross multiply:

1,100 = 55x

    Divide:

20 = x

    There are 20 exhibits in total.

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