Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.​ Bev, Carl, and Dani agreed and Dani received pennies. How many pennies did Al have​ initially

Answers

Answer 1

Answer:

2744

Step-by-step explanation:

Let Al had x pennies initially.

Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.

So, as per the given condition,

The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]

The number of Pennies received by Carl from Bev

[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]

The number of Pennies received by Dani from Carl

[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]

Now, as Dani received 216 Pennies, so

[tex]\frac{27}{343} x =216[/tex]

[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]

Hence, initially, Al had 2744 Pennies.


Related Questions

bob claims that he can map rectangle 1 to rectangle 2 select all of the transformations or series of transformation that support his claim

Answers

Answer:

The first thing you need to notice is that each mark in the coordinate axis represents 2 units.

Now, let's analyze each option that maps rectangle 1 to rectangle 2.

Reflection over the line x = 1, and a translation of 2 units down.

You can see that the right end of rectangle 1 us located at x = -2

The distance between x = -2 and the line of reflection is:

1 -  (-2) = 3

Then the left end of the reflected rectangle will e 3 units at the right of x = 1.

1 + 3 = 4

Will be at x = 4, same as rectangle 2.

Now we move it 2 units down, and we will have rectangle 1 mapped into rectangle 2.

Translation of 12 units right, and then 2 units down.

The right end of rectangle 1 is at x = -2

The right side of rectangle 2 is at x = 10

The difference is 10 -(-2) = 12

Then we must move rectangle 1 12 units to the right.

Now, same as before, we can move rectangle 1 2 units down and we will have rectangle 1 mapped into rectangle 2.

Rotation of 180° around the point (1, 4)

This means a reflection over the line x = 1, followed of a reflection over the line y = 4.

We already see that a reflection over the line x = 1 leaves rectangle 1 right above rectangle 2. And the line that separates them is the line y = 4, then when we do a reflection over that line, we will have rectangle 1 mapped into rectangle 2.

Answer:

D, E, and F

Step-by-step explanation:

Sam is looking at cell phone plans.A local company offers a monthly plan for 58.95dollars . The company is having a sale and offering a discount of 4.75 off the monthly plan. Sam says that the new cost is 11.45 explain Sam's error and find the correct new cost

Answers

Given :

A local company offers a monthly plan for 58.95 dollars.

The company is having a sale and offering a discount of 4.75 off the monthly plan.

To Find :

Sam says that the new cost is 11.45 explain Sam's error and find the correct new cost.

Solution :

Correct cost = Original price - Discount offered

Correct cost = $( 58.95 - 4.75 )

Correct cost = $54.2 .

Now, Sam's cost is $11.45 because he took $4.75 as $47.5 .

Hence, this is the required solution.

What percentage of births occurred among women between the ages of 38 and 40? Give your answer to one decimal place.​

Answers

98.0 it doesn’t need a decimal but I hope this helps

We are to find the percentage of births which occurred among women between the ages of 38 and 40 using the graph.

The percentage of births which occurred among women between the ages of 38 and 40 using the graph is 98.0

From the graph above, each bar represent 2 years.

There are 5 bars each between 20 and 30, 30 and 40 respectively.

The percentage of births occurred among women between the ages of 38 and 40 is 98

To one decimal place

= 98.0

Read more:

https://brainly.com/question/23944057

why is eid more inportant than ramadan???

brainlest for 1

Answers

Answer:

eid is more important then Eid

Step-by-step explanation:

Eid al-Fitr - which means 'festival of the breaking of the fast - is celebrated at the end of Ramadan, , a month when many adult Muslims fast. Eid al-Adha - which means 'feast of the sacrifice' - is celebrated just over two months later, at the same time when many Muslims perform the Hajj pilgrimage.

Answer:

because we get to spend eid with family and friends.

Step-by-step explanation:

but they're equally important, in my opinion

PLEASE HELP, GIVING BRAINLIEST!!!

These triangles are congruent by _____.

A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these

Answers

Answer:

A. ASA

Step-by-step explanation:

There are two angles and sides marked as congruent\

The angles in the middle are congruent by the Vertical Angles Theorem

They have congruent side with congruent angles adjacent so it's Angle Side Angle

A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Explain?

Answers

Answer:

.95-1.05

Step-by-step explanation:

you are able to go above 0.05 or below 1 by 0.05

since it's 95% of 1

Answer:

.05

Step-by-step explanation:

It's simple really. It's finding 5% of 1.

First you change the percent to a decimal. 5%= .05

Next you multiply .05 times 1 which is obviously 1. :)

The midpoint of TP is (3,0). If one endpoint, point T, has the coordinates
(-2,-6), what are the coordinates of the other endpoint of TP?

Answers

Answer: (7, 6)

Step-by-step explanation: Use the midpoint formula but instead you’re finding the coordinates of the other point(not sure if that makes sense). There’s a shorter way tho

Before beginning voice lessons, Bryan already knew how to sing 146 pieces, and he expects to learn 2 new pieces during each week of lessons. How many weeks of lessons will Bryan need before he will be able to sing a total of 300 pieces? Write and Solve an equation to find the answer.

Answers

Answer:

77 weeks

Step-by-step explanation:

Let the number of weeks be represented as x

The equation for the above question is given as:

146 + 2(x) = 300 pieces

146 + 2x = 300

2x = 300 - 146

2x = 154

x = 154/2

x = 77

Bryan would be needing 77 weeks of lessons

If the domain of a relation is all whole numbers between 2.5 and​ 7.5, and the range contains 6 different​ values, can you determine whether the relation is a​ function? Explain your reasoning. Choose the correct answer below. A. The domain has more values than the​ range, so at least one range value is mapped to by more than one domain value. The relation is not a function. B. The domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value. The relation is not a function. C. The domain has as many values as the​ range, but it cannot be determined whether the relation is a function with only the given information. D. The domain has as many values as the​ range, so each domain value maps to only one range value. The relation is a function.

Answers

Answer:

This relation is not a function as the domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value.

Step-by-step explanation:

A relation is said to be a function if each and every element of the domain has a distinct value value in the range.

Domain of a relation is a set of all whole numbers between 2.5 and​ 7.5, and the range contains 6 different​ values.

Whole numbers between 2.5 and 7.5 are [tex]3,4,5,6,7[/tex]

This relation is not a function as the domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value.

B. This relation is not a function as the domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value.

As we know that:

A relation is said to be a function if each and every element of the domain has a distinct value value in the range.

It is given that Domain of a relation is a set of all whole numbers between 2.5 and​ 7.5, and the range contains 6 different​ values.

Now, whole numbers between 2.5 and 7.5 are:

[tex]3,4,5,6[/tex]

There are 4 numbers in the domain and 6 numbers in the range.

That is the elements in domain are less than the elements in the range.

Therefore, this relation is not a function as the domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value.

Hence the correct option is A.

Learn more:https://brainly.com/question/2264373

Quadrilateral WXYZ with vertices W(-6, 7),
X(-3, 6), Y(-1,3), and Z(-7,1): 180°

Get wxyz

Answers

Answer:

W (6,-7) X(3,-6) Y (1,-3) Z(7,-1)

Step-by-step explanation:

This is the answer because to do this you have to know that the 180 degress (x,y) changes to (-x,-y) The negative sign means opposite so, if it is Z(-7,1) it changes to (7,-1).

Hope this helped!

2. You see a TV that is normally $350 is now on
sale for 45% off. How much of a discount will you
get to save?

Answers

You will save &140.00

Answer:

You will save $157.50

Step-by-step explanation:

Multiply 350 by 0.45

This gets you 45% of 350

Lea received a tip of $8 on a restaurant tab of $20. What percent tip did
she receive?

Answers

Answer:

40% tip

Step-by-step explanation:

If $20 is 1/5 of $100 and that $8 tip is part of those $20 you just have to multiply by five and thats your answer

mrs.jacobson asked her students to write a world problem that describes the graph below. which world problem accurately describes the graph?

Answers

Answer:

please attach the graph

Use the Factor Theorem to determine whether h(x) = x – 1 is a factor of f(x) = 14x^99 – 65x^56 + 51.

a. Yes
b. No

Answers

It’s is yes hopes that helps lol
the answer is a (yes)

Hello, i was wondering if anyone could help me with questions 2 and 3? Thanks :)

I know the page is a bit blurry so here’s what question 2 says:

Hal is munching his garden. He has 5 3/4 bags of much. Each bag covers 105.2 sq. how much area can he cover?

the options are:
A. 520.2
B. 525.75
C 574.5
D 604.9

Answers

Answer: 2:D     3: 1/3 of the fruit, or 80 oranges

Step-by-step explanation:

Answer:

Step-by-step explanation: 5x105.2=526 75% of 105.2 is 78.9 so 105.2+78.9=184.1

A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?

Answers

Answer:

[tex]A' =(-y,x)[/tex]

Step-by-step explanation:

Given

Represent point A as thus;

[tex]A = (x,y)[/tex]

Required

Determine the new position of A, when rotated counterclockwise

The new position will be denoted as A'

When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

[tex]Pos = (y,x)[/tex]

Then, y is negated to give A'

[tex]A' =(-y,x)[/tex]

Write the product as a power.
5 X 5 X 5 X 5 =

Answers

Answer:

4 that is the answer...........

5

PLEASE HELP QUICKLY! 30 POINTS AND WILL MARK BRAINLIEST.

Write an equation for the th term of the arithmetic sequence below.
-12, -3, 6, ...

A. f(n)=-9n-21
B. f(n)=9n-21
C. f(n)=9n+21
D. f(n)=-9n+21

Answers

Answer:

c

Step-by-step explanation:

you need to find how the numbers increase each time to help you.

4x - 5y = 10 solve for y=mx+b​

Answers

-5y = 10 - 4x

y = - 10 - 4x over 5

y = - 2(5 - 2x) over 5

hopefully this is correct

is 4.23x 10 exponent negative 5 greater than 1 or less than 1. explain how you know

Answers

Answer:

less than 1

Step-by-step explanation:

I know this because since it is a negative exponent you go backwards.

Solve the equation 6(2x + 4)2 = (2x + 4) + 2.

Answers

Answer:

-21/11

Step-by-step explanation:

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First I would distribute what I can...

[tex]6(2x+4)2=(2x+4)+2\\24x+48=2x+4+2[/tex]

Now we combine like terms...

[tex]24x+48=2x+6[/tex]

Subtract 2x from both sides...

[tex]22x+48=6[/tex]

Subtract 48 from both sides...

[tex]22x=-42[/tex]

Divide both sides by 22...

[tex]x=-\frac{21}{11}[/tex]

So the answer is [tex]-\frac{21}{11}[/tex]

I need help with this asap

Answers

Answer:

3\sqrt{3}

Step-by-step explanation:

look this up and it will give you the answer

pls mark brainliest

Answer:

The sqrt of 3 is an irrational number.

The sqrt of 9 is a rational number.

Step-by-step explanation:

HELPPPP ASAPPPP New visitors to a certain website have a 0.10 probability of creating an account on their first visit. Let V be the number of new visitors who visit the site until the first one of them creates an account. Assume that each visitor's decision to create an account is independent.
Find the probability that the 6th new visitor is the first to create an account.
Round your answer to the nearest thousandth.

Answers

Answer:

0.07

Step-by-step explanation:

The probability that the 6th new visitor is the first to create an account is approximately 0.059.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
The probability of success (creating an account) on any given trial is p = 0.10, and the probability of failure (not creating an account) is q = 1 - p = 0.90.

The probability that the first success occurs on the 6th trial is then given by:

P(V = 6) = (q⁵) * p

where q⁵ is the probability of having 5 failures in a row (i.e., the first 5 visitors not creating an account), and p is the probability of the 6th visitor creating an account.

Plugging in the values,

P(V = 6) = (0.90⁵) * 0.10 = 0.059049

Rounding to the nearest thousandth,

P(V = 6) ≈ 0.059

Therefore, the probability that the 6th new visitor is the first to create an account is approximately 0.059.

Learn more about probability here:

brainly.com/question/14290572

#SPJ7

The cafeteria staff at Bryan County Middle School served 125 sixth graders on the first day of school. Out of the 125 students, 102 of them chose to drink chocolate milk. What decimal represents the fraction of students who did NOT choose to drink chocolate milk?

Answers

Answer:

[tex]Fraction = \frac{23}{125}[/tex]

Step-by-step explanation:

Given

[tex]Total = 125[/tex]

[tex]Chocolate = 102[/tex]

Required

Determine fraction who do not drink chocolate

First, we need to determine the number of those who do not drink chocolate

[tex]No\ Chocolate = 125 - 102[/tex]

[tex]No\ Chocolate = 23[/tex]

Their fraction is calculated as thus

[tex]Fraction = \frac{No\ Chocolate}{Total}[/tex]

[tex]Fraction = \frac{23}{125}[/tex]

If side a = 3 and b = 4 what is the length of leg c in a right triangle using the
pythagorean theorem?

Answers

Answer: 5

Step-by-step explanation: Leg A + Leg B= Leg C

9+16=25 the square of 25 is 5

Answer:

5 = c

Step-by-step explanation:

pythagorean theorem is simply a^2 + b^2 = c^2

so a=3 and b=4 so we plug them in

3^2 + 4^2 = c^2

which is

9 + 16 = c^2

so

25 = c^2

then we take the square root for the answer!!

sqrt(25) = sqrt(c^2)

5 = c

Please Help! Will mark brainliest!

Answers

Answer:<EBA=103

Step-by-step explanation:

72+31=103

Answer:

[tex]\boxed {\tt C. \ m \angle EBA=103}[/tex]

Step-by-step explanation:

∠EBA is made up of 2 angles: ∠ABC and ∠EBC

If we want to find the measure of ∠EBA, we should add the measure of ∠ABC and ∠EBC.

m∠EBA= m∠ABC+m∠EBC

The measure of angle ABC is 72. The measure of angle EBC is 31. (m∠ABC=72 and m∠EBC=31)

m∠EBA= 72 + 31

Add.

m∠EBA=103

The measure of angle EBA is 103 and choice C is correct.

(URGENT!! PLS HELP) The color of paint used to paint a race car includes a mixture of yellow and green paint. Scotty wants to lighten the color by increasing the amount of yellow paint 30%. If a new mixture contains 3.9 liters of yellow paint, how many liters of yellow paint did he use in the previous mixture?

Answers

Answer:

3 liters

Step-by-step explanation:

Let the initial amount of yellow paint be x

Then we have x increased by 30% equals 3.9 liters:

x + 0.3x = 3.91.3x  = 3.9x = 3.9/1.3x = 3 liters

A sailor is 30m above the water in the crow's nest on a sailboat. The sailor encounters an orca surface at an angle of depression of 15 degrees. The crows nest is 20 m horizontally from the bow (front) of the boat. How far in front of the boat is the orca?

Answers

Given :

A sailor is 30 m above the water in the crow's nest on a sailboat.

The sailor encounters an orca surface at an angle of depression of 15 degrees.

The crows nest is 20 m horizontally from the bow (front) of the boat.

To Find :

How far in front of the boat is the orca.

Solution :

Let, distance of boat front from the crow's nest is x.

So,

[tex]\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m[/tex]

Hence, this is the required solution.

7: Which of the following numbers is smallest?
(b)
7.0
(c)
)
(d)
.7
12
(e)
S

Answers

Answer:

d) 0.712

Step-by-step explanation:

Your question isn't clear, so my answer may be wromg

It’s d it’s the smallest

if x+y=10 and x-y=6 , what is the value of x³-y³​

Answers

Answer:

[tex]\huge\boxed{x^3-y^3=508}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}x+y=10\\x-y=6\end{array}\right}\qquad|\text{add the sides of the equations}\\.\qquad2x=16\qquad|\text{divide both sides by 2}\\.\qquad\boxed{x=8}\\\\\text{Substitute it to the first equation}\\8+y=10\qquad|\text{subtract 8 from both sides}\\\boxed{y=2}\\\\x^3-y^3=8^3-2^3=512-8=504[/tex]

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