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?

Answer:

PLEASE ATTACH THE FIGURE LIKE THIS.....

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 :)

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.

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]

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

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.

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)

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]

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

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

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

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 ⚜

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

Answer:

A = 201.5 m2

Step-by-step explanation:

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

Hope this helps

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

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

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]

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

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]

Answer: the prism has a surface area with 920

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

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.

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

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]

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 :)

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.

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.

Answer:

i dont know but i will try

Step-by-step explanation:

example

34 dolars look i have answer

Answer:

Step-by-step explanation:

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...

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

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

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

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

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

Hence, the volume is 720³ cm

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

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

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

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.