The SOLT missionaries are throwing a birthday party. There is obviously cake. Mr. Daniel only wants 1/2 of a piece. Mr. Richie eats half of Mr. Daniel's leftover. Ms. Laura eats half of the remaining piece. Ms. Kimberly eats half of Ms. Laura's leftover. Seven more missionaries keep sharing the piece of cake following the same pattern. If Ms. Sarah is the last of the seven, how big is the piece that Ms. Sarah eats?

Answers

Answer 1

Answer:

1/ 112

Step-by-step explanation:

1-½ = ½ ( Mr. Daniel's leftover)

½×½= ¼ ( Mr. Richie)

½×¼= 1/8 ( Ms Laura)

½×1/8 = 1/16 ( Ms. Kimberly)

1/7 × 1/16 = 1/ 112 (the last turn)

so, Ms. Sarah eats 1/ 112 of a piece.


Related Questions

The sum of a triangle's sides is
34.5 cm. The shortest side is
7.5 cm and the middle-length
side is 3 cm longer than the
shortest side. Find the length
of the third side and classify
this triangle by the lengths of
its sides.

Answers

Step-by-step explanation:

Therefore the third side should be less than 12+15 = 27cm

And also the third side cannot be less than the difference of the two sides

Therefore, the third has to be more than 15-12 = 3cm

Thus, the third side could be the length more than 3cm and less than 27cm.

f(x) = 2x^2 - 5x - 15
g(x) = -2x - 1
find f(g(x)) ... somebody help me :(

Answers

Answer:

f(g(x)) = 8x² + 18x - 8

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(- 2x - 1)

= 2(- 2x - 1)² - 5(- 2x - 1) - 15

= 2(4x² + 4x + 1) + 10x + 5 - 15

= 8x² + 8x + 2 + 10x - 10

= 8x² + 18x - 8

Find the volume of a cone with a diameter of 12 m and a height of 5 m.
A. 60 m3
B. 60 m3
C. 240 / m3
D. 1807 m3
Please help!!! Need fast will mark Brainiest if correct!

Answers

Answer:

60[tex]\pi[/tex] m³

Step-by-step explanation:

Use the cone volume formula, V = [tex]\pi[/tex][tex]\frac{h}{3}[/tex]

If the diameter is 12 m, the radius will be 6 m.

Plug in the height and radius into the formula, and solve:

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

V = [tex]\pi[/tex](6²)[tex]\frac{5}{y}[/tex]

V = [tex]\pi[/tex](36)[tex]\frac{5}{3}[/tex]

V = 60[tex]\pi[/tex]

So, the volume of the cone is 60[tex]\pi[/tex]

What evidence shows that the uprisings at Treblinka and Sobibor were not a complete failure?

Both camps were closed after the uprising.
Prisoners attacked and killed SS men and guards.
Thousands of prisoners escaped and were never captured.
All gas chambers in camps were shut down.

Answers

Answer:

both camlps

Step-by-step explanation:

Answer:

B.) Prisoners attacked and killed SS men and guards.

Step-by-step explanation:

edge

Describe two ways to write 7/3 as a mixed number

Answers

Answer:

2 1/3 and 1 1/6

Step-by-step explanation:

PLS HELP ILL GIVE BRAINLIEST
What are the coordinates of the center of the ellipse?

Answers

Answer:

Step-by-step explanation:

Standard equation of an ellipse,

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

(h, k) is the center of the ellipse

Value of a = Distance of the center from the vertex

b = Distance of the center from the covertex

From the picture attached,

a = Distance of the center (h, k) from the vertex (2, -2) = 3 units

b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit

Center of the ellipse (h, k) = (-1, -2)

While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flips should Latrell expect to come up heads?

Answers

Answer:  2 heads

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(heads)

=

heads

total

=

heads

heads+tails

=

4

4+2

=

4

6

=

2

3

The experimental probability is

2

3

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

2

3

=

n

3

2

3

(33)

=

n

3

(33) Multiply both sides by (33)

23

= 3n Simplify

6

= 3n Simplify

2

= n Divide both sides by 3

Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.

Questions

answered

16

Time

elapsed

00 22 05

HR MIN SEC

SmartScore out of 100

44

Need a break?

IM BEING TIMES HELPPPPPPPP THANK YOUUUUUUU

Answers

Answer:

1. make both equal, so...

-14/24 + 9/24

=-5/24

Step-by-step explanation:

Can anyone help on this i don't understand it
the chooses for the choose is
15
12
10
14
11
13
9

Answers

median means the middle number and mode means which number appears the most

A survey went out asking consumers about their shopping habits. The results showed that
165 people were more likely to go to a store if they had a coupon. This represents 66% of
the total number of people who took the survey
How many people took the survey?
F: 25
G: 109
H: 199
J: 250

Answers

Answer:

G

Step-by-step explanation:

In math whenever you have the word "of" it means multiply, so 66% of the total number of people who took the survey( which is 165) is 66/100 multiplied by 165.

[tex]\frac{66}{100} *165= 108.9[/tex] which rounds up to 109

G is your answer!! Hope this is right

What’s the volume of one cylinder?

Answers

Answer:

For the first one its: Volume = 402.12in³

For the second one its: Volume = 201.0619 in³

Step-by-step explanation:

For the first one work:

Volume = 3.1416 x 42 x 8

= 3.1416 x 16 x 8

For the second one work:

Volume = 3.1416 x 42 x 4

= 3.1416 x 16 x 4

Answer:

the formula is : V=πr2h

the volume of the first cylinder is 402.12cm³ and the second is 201.06cm³ (these answers are rounded to two decimal places)

Step-by-step explanation:

Volume is pi times the radius squared (which is 4 in both these cylinders) times the height of the cylinder which is 8 in the first cynlinder and 4 in the second.

Given that P(A and B) = 0.20 and P(A|B) = 0.40, what must the P(B) = ?
a. 0.1
b. 0.2
c. 0.4
d. 0.5

Answers

Answer:

The value of P(B) = 0.5

Step-by-step explanation:

Given:

Value of P(A and B) = 0.20

Value of P(A|B) = 0.40

Find:

The value of P(B)

Computation:

P(A and B) = P(A|B) x P(B)

By putting value of P(A and B)  and P(A|B)

⇒ 0.20 = 0.40 x P(B)

⇒ The value of P(B) = 0.20 / 0.40

⇒ The value of P(B) = 20 / 40

⇒ The value of P(B) = 1 / 2

The value of P(B) = 0.5

Please help me find the mean and the range.

Answers

mean: 5.5 hours

range: 7.9 hours

Five boys each have 8 marbles. If all
their marbles are collected and placed

into
8heaps, how many marbles will there be in each jeap ?​

Answers

5 marbles.

We first need to find how many marbles we have in total.

8 marbles * 5 boys = 40 marbles.

These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.

40/8 = 5

There will be 5 marbles in each heap.

a bacteria culture starts with 720 bacteria and grows at an exponential rate calculator. after 2 hours there will be 1440 bacteria. give your answer accurate to at least 4 decimal places.

Answers

Answer:

y(t) = 720e^0.3466t

y = 2036.6288

Step-by-step explanation:

The exponential relation :

y = Ae^kt

A = initial value ; y = final value ; r ; k = exponential rate, t = time

At t = 0

y = 720e^0 ; y = 720

At t = 2 ; y = 720e^2k

1440 = 720e^2k

1440/720 = e^2k

2 = e^2k

Take the In of both sides

0.6931471 = 2k

k = 0.6931471 / 2

k = 0.3466

Hence, equation becomes :

y = 720e^0.3466t

After 3 hours ;

t = 3

y = 720e^0.3466*3

y = 720e^1.0398

y = 720 * 2.8286512

y = 2036.6288

In the figure, OA is a diameter of the smaller circle and O is the centre of the larger circle. Find the
area of the shaded region.


Answers

Answer:

942 6/7 cm²

Step-by-step explanation:

Since O = Center of bigger circle, OA = Radius of bigger circle.

∴ Area of smaller circle - Area of bigger circle = Area of shaded part.

∴ Area of smaller circle = 22/7 × 10²

                                       = 22/7 × 100

                                       = 2200/7

                                       = 314 2/7 cm²

∴ Area of bigger circle = 22/7 × 20 ²

                                      = 22/7 × 400

                                      = 1257  1/7 cm²

∴ Area of shaded part = 1257 1/7 - 314 2/7

                                     =  942 6/7 cm²

As Soon As Possible! (please)


Each day a supernatural termite can eat 35% more wood grains that it did the day before. If a 20-day old termite has eaten 97,231 grains of wood, how many wood grains (to the nearest grain) will it eat on the 22nd day?

A) 84 grains
B) 130,745 grains
C) 176,589 grains
D) 235,768 grains

Answers

I believe it is C because it I s bigger but not to big of a amount please tell me if I am wrong

A 2-liter bottle of soda pop contains 2,000 milliliters.
True
False

Answers

Answer:

TRUE!

Step-by-step explanation:

1 liter (L) = 1000 milliliters (mL)

If you have 2 Liters, then you would DOUBLE the milliliters (2000)

Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.

d+a=h

Answers

Answer:

do you have an attatchment or guide i can use to answer this?

Step-by-step explanation:

Transposing a,

[tex]d + a = h \\ a = h - d[/tex]

Can someone please help me!

Answers

Answer:

A)

Step-by-step explanation:

it is clearly reduced so you can eliminate the middle two options as answers;

reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction

What is the combined area of the two bases of the following cylinder
The diameter is 12cm and the height is 15cm
A. 452.16cm^2
B. 904.32cm^2
C. 113.04cm^2
D. 226.08cm^2

Answers

D. 226.08cm^2

Since we are finding the combined area of the two bases of the cylinder, we are adding the area of the first base with the second base. The formula for the base of a cylinder is pi x r^2, since it is a circle. Since the bases are the same, we can rewrite this as 2pi x r^2.

Since the diameter is 12cm and r = 1/2 diameter, r = 6cm.

Thus, A = 2(3.1415)(6)^2 = 226.08cm^2

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

opposite pairs of triangles are congruent.

Answer:

Opposite pair of triangles are congruent

Step-by-step explanation:

Because in parallelogram

Opposite sides are congruentOpposite angles are congruent

So.opposite pair of triangles are congruent

A clothing store donated a percent of every sale to charity. The total sales were $8850, so the store donated $531 what percent of $8850 was donated to charity?

Answers

Answer:

6%

Step-by-step explanation:

[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]

Which graph represents the solution set of this inequality?
4+11<-21
hep please

Answers

Answer:

It's C :D

Step-by-step explanation:

show that 2.373737... =2.37 canbe expressed in the form p/q where pand q are integers and q≠0​

Answers

Answer:

[tex] 2.373737....=\frac{235}{99}[/tex]

Step-by-step explanation:

[tex] 2.373737....=2.\overline{37}[/tex]

[tex] Let\: x=2.\overline{37}...(1)[/tex]

[tex] \therefore 100x=237.\overline{37}...(2)[/tex]

Subtracting equation (1) from equation (2), we find:

[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]

[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]

[tex] \therefore 99x=235[/tex]

[tex] \therefore x=\frac{235}{99}[/tex]

[tex] \implies 2.373737....=\frac{235}{99}[/tex]

Determine the period.

Answers

Answer:

the period is the to top points of the highest points on top of the crests

The period of function is,

P = 5

Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.

Here, Graph of function is shown.

Hence, The period of function is,

P = 10/2

P = 5

Because there is two wave are shown.

Therefore, The period of function is,

P = 5

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

For all values of x, f(x)=x-1 and g(x)=2x^2+3. Solve fg(x)=gf(x)

Answers

Answer:

x=3/4

Step-by-step explanation:

Given:

f(x) = x-1

g(x) = 2x²+3

Evaluate composite functions:

f(g(x)) = f(2x²+3) = (2x²+3)-1 = 2x²+2

g(f(x)) = g(x-1) = 2(x-1)²+3 = 2(x²-2x+1)+3 = 2x²-4x+2+3 = 2x²-4x+5

Set expressions equal to each other and solve for x:

2x²+2 = 2x²-4x+5

2 = -4x+5

-3 = -4x

3/4 = x

x = 3/4

Therefore, the value of x=3/4 satisfies both composite functions

Please tell me the process to change a percent to a decimal

Answers

X% means X/100
To change percent to decimal divide it with 100.
Example 75% = 75/100 = 0.75

Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?

Answers

Answer:

See Explanation

Step-by-step explanation:

See attachment for illustration

(a) Right triangle

The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:

[tex]x + y + 90 = 180[/tex]

Subtract 90 from bot sides

[tex]x + y = 90[/tex]

Make x the subject

[tex]x = 90 - y[/tex]

Make y the subject

[tex]y = 90 - x[/tex]

This implies that, subtract the known angle from 90 to get the unknown angle.

Assume [tex]x = 40[/tex]

We make use of: [tex]y = 90 - x[/tex]

[tex]y = 90 - 40 = 50[/tex]

(b) Isosceles triangle

The sum of angles in an isosceles triangle is:

[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal

[tex]x + 2y = 180[/tex]

Make x the subject

[tex]x = 180 - 2y[/tex]

Make y the subject

[tex]y = \frac{180 - x}{2}[/tex]

Assume [tex]x = 40[/tex], we make use of:

[tex]y = \frac{180 - x}{2}[/tex]

[tex]y = \frac{180 - 40}{2}[/tex]

[tex]y = \frac{140}{2}[/tex]

[tex]y = 70[/tex]

Assume [tex]y = 70[/tex], we make use of:

[tex]x = 180 - 2y[/tex]

[tex]x = 180 - 2 * 70[/tex]

[tex]x = 180 - 140[/tex]

[tex]x = 40[/tex]

Please help me I will give 30 points

Answers

Answer:

a, c, & d

Step-by-step explanation:

-6,1 , 0,5 , 1,7 hope this help

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