Problem 5.
Solve Show оr explain your work
Amy. Bill, Katie, Gretchen and Dylan love chocolate. One afternoon, they each had 2 large
chocolate bars Eachchocolate bar was the same size Here is whаt еасh реrѕоn аtе.
Amy 8/6
of her echocolate bar,
Bill 1 1/6 of his chocolate bars
Katie 9/6 of her chocolate bars
Gretchen 1 5/6 of her chocolate bars
Dylan 1 3/6 of his chocolate bars
How much chocolate does Amy, bill, Katie, Gretchen and Dylan have left?

Answers

Answer 1

Answer:

2/3, 5/6, 1/2, 1/6, 1/2

Step-by-step explanation:

One afternoon, they each had 2 large  chocolate bars.

Amy 8/6  of her chocolate bar = (2 - 8/6) = 2/3

Bill 1 1/6 of his chocolate bars = (2 - 11/6 = 2 - 7/6 = 5/6)

Katie 9/6 of her chocolate bars  = (2-9/6) = 1/2

Gretchen 1 5/6 of her chocolate bars  = (2- 1 5/6) = 2 - 11/6 = 1/6

Dylan 1 3/6 of his chocolate bars = 2 - 1 3/6 = 2-9/6 = 1/2


Related Questions

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

A. p(x) = 19x - 15

Step-by-step explanation:

→Set it up, like so:

[tex](25x)-(6x+15)[/tex]

[tex]25x - 6x-15[/tex]

→Add like terms (25x and -6x):

[tex]19x - 15[/tex]

PLSSSS HELP!!! what is the slope from 0 to 1 seconds?

Answers

Answer:

Since there is no change in the height value over that time, the slope is 0

A box-contains 3 blue and 2 red marbles while another box contains 2
blue and 5 red marldes. A marble drawn at random from one of the boxes
turns out to be blue. what is the probability that it came from the first box?

Answers

Answer:

3/5

Step-by-step explanation:

(3/5) · (1/2) over (3/5) · (1/2) + (2/5) · (1/2)

= 3/5

A survey of 250 homeless persons showed that 14 were veterans. Find a point estimate for the population proportion of homeless persons who are veterans.

Answers

Answer:

[tex] \hat p =\frac{14}{250}= 0.056[/tex]

And for this case that represent the 5.6% of the homeless persons who are veterans

Step-by-step explanation:

We know that in a survey of 250 homeless persons 14 were veterans. We can find the estimated proportion of homeless persons who are veterans with the following formula:

[tex] \hat p =\frac{X}{n}[/tex]

The last one is an unbiased estimator of the true population proportion p

And replacing the info given we got:

[tex] \hat p =\frac{14}{250}= 0.056[/tex]

And for this case that represent the 5.6% of the homeless persons who are veterans

Scientists use carbon-14 dating to determine the age of a sample of organic material. a. The amount C (in grams) of a 100-gram sample of carbon-14 remaining after t years is represented by the equation C=100(0.99988)t C = 100 ( 0.99988 ) t . Use a calculator to find the amount of carbon-14 remaining after 4 years. Round your answer to the nearest hundredth. The amount of carbon-14 remaining is about grams. b. What percent of the carbon-14 remains after 4 years? Round your answer to the nearest hundredth. The percent of carbon-14 remaining is about %.

Answers

Answer:

a) 99.95 grams are remaining after 4 years.

b) The percent of carbon-14 remaining is about 99.95%

Step-by-step explanation:

The amount of carbon 14 remaining after t years is given by the following equation:

[tex]C(t) = 100(0.99988)^{t}[/tex]

a) Amount remaining after 4 years.

[tex]C(t) = 100(0.99988)^{4} = 99.95[/tex]

99.95 grams are remaining after 4 years.

b) Percentage remaining after 4 years:

[tex]p = \frac{100*C(4)}{C(0)} = \frc{100*99.95}{100} = 99.95[/tex]

The percent of carbon-14 remaining is about 99.95%

a) 99.95 grams are remaining after 4 years.

b) The percent of carbon-14 remaining is about 99.95%

The calculation is as follows:

a.

The amount of carbon should be

[tex]C=100(0.99988)^4[/tex]

= 99.95 grams

b. The percent is

[tex]= 100 \times 99.95100[/tex]

= 99.95%

Learn more: https://brainly.com/question/6269728?referrer=searchResults

HDTV screens usually have a width-to-heigh ratio of 16:9. Which screen dimensions are in the same proportion?

Answers

Answer:

4: 3

Step-by-step explanation:

In this case, we have that there is a relationship between width and height, which is 16: 9, which means that any screen that has the same ratio would be an identical screen.

How would we do this? it must either be raised to a power or rationalized on both sides of the ratio.

If we raise to a power, it would give very large dimensions for an HDTV, therefore, it is best to remove the square root on both sides, since it has more common values for a TV.

[tex]\sqrt{16} :\sqrt{9}[/tex]

4: 3

Therefore, a 4: 3 screen is a good choice for an HDTV with the same ratio.

Answer:

Ideiidididid

Step-by-step explanation:

Cici

If 8-2x<12 is -2 a solution to the inequality

Answers

Answer:

no

Step-by-step explanation:

Let's plug in -2 for x.

8 - 2 (-2) <12

8 + 4 < 12

12 < 12

Since this is a false statement, -2 is not a solution to the inequality.

Answer: No

Step-by-step explanation: To determine whether x = -2 is a solution to the inequality, substitute a -2 in for r.

So we have 8 - 2(-2) < 12.

Notice that I used parentheses.

This is a great habit to get into when

substituting numbers in for variables.

So we have 8 - (-4) which can be changed to 8 + (+4) or +12.

Since 12 is not less than 12, -2 is not a solution.

The Trapezoidal rule Tn on the interval [0,5) will be exact for
all polynomial of degree at most
Select one
O A 5
OB. None
C. 3
O 0.9
OE

Answers

Answer:

degree 1

Step-by-step explanation:

The trapezoidal rule is exact when the second derivative is zero.  This occurs when the polynomial is degree one or less

Edith wants to make a paperweight at pottery class. She wants the paperweight to have a pyramid-like shape with a base area of 120120120 square centimeters, and she wants it to weigh 400400400 grams. The density of the clay she is using is 1.61.61, point, 6 grams per cubic centimeter.
What should be the height of the paperweight?

Answers

Answer:

Step-by-step explanation:

We would determine the volume of the

pyramid-like paperweight. Formula for volume is expressed as

Volume = mass/density

From the information given,

mass = 400g

Density = 1.61g/cm³

Volume = 400/1.61 = 248.45cm³

The formula for determining the volume of a pyramid us expressed as

Volume = 1/3 × base area × height

From the information given,

Base area = 120 cm²

Volume = 248.45cm³

Therefore,

248.45 = 1/3 × 120 × height

248.45 = 40 × height

height = 248.45/40 = 6.2 cm

Identify which of these designs is most appropriate for the given​ experiment: completely randomized​ design, randomized block​ design, or matched pairs design. A drug is designed to treat insomnia. In a clinical trial of the​ drug, amounts of sleep each night are measured before and after subjects have been treated with the drug.

Answers

Answer:

Matched pairs design

Step-by-step explanation:

A matched pair design can be used in a case where the same people are being measured in before-and-after comparison. The same set of people are measured for the amount of sleep each night before the administration of the drugs and after the drug administration and this is used to test for a difference.

Find the area of the triangle
Need help fast

Answers

Answer:

118.3

Step-by-step explanation:

area = base * height / 2

The two sides forming a right angle can be used as base and height.

area = 13 m * 18.2 m / 2

area = 118.3 m^2

Answer:it is 118.2977011m^2 because the instruction says do not round

Step-by-step explanation:

The cone-shaped container for the echidna treats holds to 218 cubic centimeters of ants and has a radius of 4 cm. rounded to the nearest whole number, what is the height of the container? use 3.14 for pie symbol

Answers

Answer:

13 cm

Step-by-step explanation:

To find the answer, you can use the formula to calculate the volume of a cone and isolate the height:

V= πr^2[tex]\frac{h}{3}[/tex]

V= volume= 218 cubic centimeters

π= 3.14

r= radius= 4 cm

h=height

218= 3.14*4^2*[tex]\frac{h}{3}[/tex]

218*3=3.14*16*h

654=50.24*h

h=654/50.24

h=13

According to this, the height of the container is 13 cm.

Drew writes down a number between 1 and 1000. Mary must determine that number by asking "yes/no" questions of Drew. Mary knows that Drew always tells the truth. If Mary uses an optimal strategy, then she will determine the answer at the end of exactly how many questions in the worst case?

Answers

Answer: 10 questions.

Step-by-step explanation:

The optimal aproach would be divide the total range in half, for example, she can ask:

Is the number equal or greater than 500?

if he answers no, now she knows that the numer is in the range 1 to 499

if he says yes, she can know that the number is in the range 500 to 1000.

Now, suppose that the answer is yes.

Now she can ask if the number is equal or greater than 750.

Now we have two possible sets. (500, 749) and (750 , 1000).

Now we can divide those sets again, depending on the answer.

suppose we got the set of (750, 1000)

we can divide it into two sets and so on.

So, we have 999 options and we want to divide it by 2 until we reach to 1., the number of divisions by 2 is the number of times that she asked a question.

999/2^n ≤ 1.

we must find the smaller n that keeps the above inequality true.

999 ≤ 2^n

knowing that 2^10 = 1024.

999/1024 = 1024

So in the worst case, she should ask 10 questions.

There are 2 new seats in each row in a school auditorium. There are 20 rows in the auditorium. Each new seat costs $84 what is the cost for the new seats

Answers

Answer:

$3360

Step-by-step explanation:

First you have to do 20 times 2 to find out how many new seats there are.

Then you have to multiple that number by the cost to get the cost of all the new seats.

I hope this helped ;)

Isaac is working as a security guard. He earns $8.45 an hour. He earns double time for any overtime over 40 hours. Last week he worked 44 hours. How much did he earn last week? ( HInt: double time means 2 times the regular hourly rate. )

Answers

Answer:

$405.60

Step-by-step explanation:

If Isaac works for 40 hours will earn $8.45×40=$388. Since he worked 4 extra hours, he will earn $8.45×2×4 since he worked 4 extra hours. $8.45×2=$16.90, which is the amount he earns for every extra hour he works. $16.90×4=$67.60. Now if we add $67.60+$388=$405.60.

Hope this helps!

the answer to this !!!

Answers

Answer: A=12, B=2, C=11

Step-by-step explanation:

With the given problem, you would first expand the numerator.

[tex]\frac{x^1^5y^3z^1^2}{x^3yz}[/tex]. Then you can simply from there. You can subtract the exponents. [tex]x^1^2y^2x^1^1[/tex]

What is the domain of g?

Answers

Answer:

domain is [-6,6] or -6 ≤ x ≤6

Step-by-step explanation:

domain is x value of given function

dark circle means that that number is included in domain

You are building a curio cabinet in the form of a rectangular prism that must be 4 feet tall with a volume of 48 cubic feet. The length and with each must be no more than tot. Which of the following dimensions are the possible width and length of the cabinet? a) 15 foot by feet b) 24 feet by 5 foot c) 25 feet by 4.8 feet d) 3 feet by 4 feet e) 4 feet by 12 feet 19

Answers

Answer:

d) 3 feet by 4 feet

Step-by-step explanation:

Volume of the prism = 48 feet³

Height if the prism = 4 feet

To determine the possible values of the length and width of the prism let's divide the volume by the height.

So 48/4 = 12

So we'll be looking for a product of two numbers to give us 12

And it's between 12 and 1, 4 and 3 , and 6 and 2.

We have only 4 and 3 in the option.

A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answer correctly?

The student got____problems correct on the test.

Answers

Answer:

The student got 16 problem correct

Step-by-step explanation:

Take the number of problems and multiply by the percent correct

20 * 80%

20 *.80

16

The student got 16 problem correct

Answer: The student got 16 problem correct.

Step-by-step explanation: To solve this problem, you first want to take the number of problems that are on the math test and multiply that by the percent the student got correct.

So we have 20 × 80%

Now write 80% as a decimal to get .80.

So we have 20 × .80 which is equal to 16.

So the student got 16 problems correct

and 4 problems incorrect on their test.

Makayla invested $630 in an account paying an interest rate of 5.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,860?


Answers

Answer:

19.7 or 20 rounded

Step-by-step explanation:

A = $ 1,861.65

A = P + I where

P (principal) = $ 630.00

I (interest) = $ 1,231.65

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / e^rt

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r

The polynomial P(x) = 3 – 2x2 + 5x5 – 7x7 has what order?

Answers

Answer:

This, polynomial has order 7.

Step-by-step explanation:

Given the polynomial

P(x) = 3 – 2x2 + 5x5 – 7x7

[tex]P(x) = 3 - 2x^2+ 5x^5 - 7x^7[/tex]

Order for any polynomial is highest exponential value for variables . The exponent for polynomial is also called as degree.

Hence in terms of degree, the term in polynomial which has  the highest degree . That degree is the order of the polynomial.

For example ,

in [tex]x^5 + x^8 + x^9[/tex]

here we see that variable x has highest power of 9. Thus, order of the given equation is 9.

Similarly for the polynomial given we see that

in the polynomial [tex]P(x) = 3 - 2x^2+ 5x^5 - 7x^7[/tex]

x has three power 2, 5 and 7 .

As 7 is the highest power of P(x) = 3 - 2x^2+ 5x^5 - 7x^7

This, polynomial has order 7.

Not sure if I got it right...I know it is one of the first 2.

Answers

Answer:

Step-by-step explanation:

-6x^2 + x -3 + 2x + 4

________________________

x^2 + 9

-6x^2 + 3x + 1

__________

  x^2 + 9

the solution is the first one

Answer:

D.[tex]\frac{-6x^{2}-x-7 }{x^{2}+9}[/tex]

Step-by-step explanation:

since the [tex]x^{2}+9=x^{2} +9[/tex] you just have to add [tex]\frac{-6x^{2}+x-3-2x-4 }{x^{2}+9 }[/tex] so the answer will be: [tex]\frac{-6x^{2}-x-7 }{x^{2}+9 }[/tex]

Find f(-7) if f(x) = 2x + 8

Answers

Answer:

-6

Step-by-step explanation:

f(x) = 2x + 8

Put x as -7.

f(-7) = 2(-7) + 8

Multiply first.

f(-7) = -14 + 8

Add.

f(-7) = -6

F(-7)=2(-7)+8
=-14+8
=-6

Adrian makes $36.50 per day plus tips. His average tip is 17% of the total amount of money customers spend. Which equation could be used to determine x, the total amount of money customers would need to spend for Adrian to earn a daily income of $150? A. 150 = 36.50 + 17x B. 150 = 0.17 + 36.50x C. 150 = x(17 + 36.50) D. 150 = 36.50 + 0.17x

Answers

Answer:

For this case we know that the fixed cost is $36.50 and the variable cost is 17% of the total amount of money customers spend, let's asusme that this variable is x. And we can create a model like this one:

[tex] y = mx +b[/tex]

Where y represent the income and x the the total amount of money customers would need to spend. For this case the value for b = 36.50 and the slope m would be 0.17 since if we convert the % into a fraction we got 0.17. So then the best option is:

[tex] 150 = 36.5 +0.17x[/tex]

D. 150 = 36.50 + 0.17x

Step-by-step explanation:

For this case we know that the fixed cost is $36.50 and the variable cost is 17% of the total amount of money customers spend, let's asusme that this variable is x. And we can create a model like this one:

[tex] y = mx +b[/tex]

Where y represent the income and x the the total amount of money customers would need to spend. For this case the value for b = 36.50 and the slope would be 0.17 since if we convert the % into a fraction we got 0.17. So then the best option is:

[tex] 150 = 36.5 +0.17x[/tex]

D. 150 = 36.50 + 0.17x

Which equation has the same solution as x^2+8x-33 =0 ?
1) (x+4)2 =49
3) (x+4)2 =17
2) (x-4)2 =49
4) (x-4)2=17
Please show work

Answers

Answer:

1) (x+4)2 =49

Step-by-step explanation:

x^2+8x-33 = 0   Factor this equation

(x + 11)(x - 3) = 0     Set each equation equal to 0

x = -11 and 3

Test the first equation to see if it has the same solution

(x+4)2 = 49      Simplify the parentheses

(x+4)(x+4) = 49     FOIL the equation

x^2 + 8x + 16 = 49     Subtract 49 from both sides

x^2 + 8x - 33 = 0       This is the correct solution.

Answer: correct answer is A

Step-by-step explanation:

What is the difference between a centroid, orthocenter, and a circumcenter?
Giving Brainliest. :D
Please help.

Answers

Answer:

Take an example in a triangle:

The orthocenter is the intersection point of 3 altitudes.

The centroid is the intersection point of 3 medians.

The circumcenter is the intersection point of 3 bisectors.

Centroid, orthocenter, and circumcenter are collinear.

Hope this helps!

:)

Please help! Correct answer only, please! I need to finish this assignment this week. Determine the value of the following if it is possible. If it is not possible, explain. Matrix P has a dimensions of 3 X 4 and Matrix Q has the dimensions 4 X 5. Determine the dimensions of the matrix PQ if it is possible. Explain why if it is not. (refer to video part 4) Group of answer choices A. Matrix PQ would have the dimensions 3 X 4 B. Matrix PQ would have the dimensions 4 X 5 C. Matrix PQ would have the dimensions 3 X 5 D. These matrices can not be multiplied because their dimension don't align.

Answers

Answer:  c) 3 x 5

Step-by-step explanation:

When multiplying matrices of dimension m x n, the "inside" values MUST be the same. The dimension of their product is the "outside" values.

P = 3 x 4

Q =      4 x 5

The "inside" values are both 4 so the product can be found.

The "outside" values are 3 & 5 so the dimension of the product is 3 x 5.

If the problem was flipped to: find QP, we would get the following:

Q = 4 x 5

P =        3 x 4

the "inside" values of 3 & 5 are not the same so the product does not exist.

Find the value of x.

Answers

Answer:

x = 98

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

x + 24 = 122

Subtract 24 form each side

x+24-24 =122-24

x =98

Answer:

[tex] x = 98 \: \: degrees \\ [/tex]

Step-by-step explanation:

The exterior angle is equal to sum of opposite interior angles in a triangle.

[tex]24 + x = 122 \\ x = 122 - 24 \\ x = 98 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Esther, Vida, and Clair were asked to consider two different cash flows: GH¢1000 that they could receive today and GH¢3000 that would be received 3 years from today. Esther wanted the GH¢1000 today, Vida chose to collect GH¢3000 in 3 years, and Clair was indifferent between these two options. Which of the three women made the right choice? Explain

Answers

Answer:

Esther made the right option which gives her maximum value at the end of 3 years than Vida and Clair.

Step-by-step explanation:

The life is all about making the right choices. Esther has made a decision to collect GH¢1000 now. To calculate future value of Esther choice at the end of 3 year we will use formula below,

FV = PV [tex](1 + r)^{t}[/tex]

discount factor at year 3 t 10% is 0.751

FV = 1000 (0.751) / (1.1)3

FV = GH¢2487.

Vidha choose to collect GH¢3000 at end of 3 year, the present value of GH¢3000 at 10% discount rate will be;

PV = FV [tex](1 + r)^{-t}[/tex]

PV = 3000 (0.751)

PV = GH¢2253.

Clair is indifferent from the choices given but this is also not a smart choice.

Esther has made the right choice among the three women and she gets maximum value of GH¢2487.

Bob raked 30 bags of leaves in 3 hours. If he raked the same leaves did he rake per hour

Answers

Divide total bags by total hours:

30 bags / 3 hours = 10 bags per hour

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The Emancipation Proclamation took effect..A.immediately after President Lincoln wrote it.B.before the battles of Chancellorsville and Antietam.C.many years after the end of the Civil War.D.after Southern states refused to rejoin the Union. Which statement best explains why this expression is equal to 9.4? A)Any expression multiplied by 0 equals 0. B)Any number divided by its opposite equals 0. C)The fraction is equal to 9.4. Any number added to its opposite results in the number itself. D)The expression does not have a value of 9.4. CAN ANYONE HELP ASAP!!!! Read the excerpt from Roll of Thunder, Hear My Cry. T.J. grinned widely. Stacey turned away in disgust. "Come on," he said, "service is 'bout to start." How best could a reader relate to Staceys feelings in the excerpt? Solve the equation using square roots.[tex]x^{2} -16= -16[/tex] I REALLY! REALLY!! REALLY!!! NEED HELP!!! WILL GIVE BRAINLIEST AND VOTE AND WILL RATE!!!! AT LEAST TAKE A LOOK PLEASE!!! WILL FOREVER THNK YOU!!!!15. Thomas Paine's pamphlet Common Sense represents the kinds of texts that were most important during the Revolutionary Era. What word best characterizes these types of texts?informativenostalgicargumentativeliterary In the space provided, write whether the verb in sentence is active voice or passive voice.The colorful saris for sale in this shop were woven by three different men.HELP X^2-9x=0 does anyone know this? plz help with slope question fast Find the length of OX start overline, O, X, end overline.If entering your answer as a decimal, round your final answer to the nearest hundredth Which is the simplified rational expression Please answer correctly my grade depends on it Daria sells televisions. She earns a fixed amount for each television and an additional $ 20 if the buyer gets an extended warranty. If Daria sells 15 televisions with extended warranties, she earns $ 1 comma 200. How much is the fixed amount Daria earns for each television? Question 3Reread the highlighted lines. When the speaker compares the sun toa toddler, what feeling does this simile suggest? Suppose the following transactions occur during the current year: 1. Rajiv orders 40 cases of beer from a Dutch distributor at a price of $40 per case. 2. A U.S. company sells 200 transistors to a Spanish company at $15.00 per transistor. 3. Yakov, a U.S. citizen, pays $1,100 for a computer he orders from Dellosoft (a U.S. company).Complete the following table by indicating how the combined effects of these transactions will be reflected in the U.S. national accounts for the current year. Amount Consumption Investment Government Purchases Imports Exports Net Exports Gross Domestic Product (GDP) the side of a triangle are in the ratio of 3:8:7. if the perimeter of the triangle is 63 cm, how long is the shorter side? Why would it be important to use a homogeneous mixture instead of a heterogeneous mixture for aspecific application?A homogeneous mixture has different properties throughout, but this would notaffect the use of a material for a specific application.A homogeneous mixture has the same properties for every part of the mixture, sothe quality of the material is consistent.A homogeneous mixture has the same appearance throughout, even if it hasdifferent properties.A homogeneous mixture has all of the required components, and this is the mostimportant part of using a material for a specific application. The integer which lies between -1/4 and 3/2 are:a)0 and 1 b)0 and -1 c)1 and -1 d)-1 and 2Which option is right? The perimeter of a square garden is 348 feet. How long is each side? Hungarys membership in the European Union has opened markets, but it has also _____. reduced government debt increased government debt closed private businesses closed national elections Solve for j.j + 42---------- =2 -7what does j eqaul