five friends get together to have a thanksgiving dinner. roger, ted, tom, pam, and donna brought (in no particular order) turkey, salad, dressing, peas, and potatoes. each item was brought on a different colored plate (no particular order) white, purple, black, green, and pink.
- no food begins with the same letter as the name of the person who brought it
- the dressing was not brought by tom or pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
- neither rogers plate nor teds plate was purple and the peas were also not brought on the purple plate
- toms food and the food on the pink plate are not peas or potatoes
- donna did not bring the black plate

try to determine the kind of food each person brought and what color plate it was on

Answers

Answer 1

Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.

To determine the kind of food each person brought and what color plate it was on, the following reasoning must be performed:

- no food begins with the same letter as the name of the person who brought it  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger, Ted, Tom or Pam Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna  Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- the dressing was not brought by Tom or Pam  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna  Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom  Green plate = Ted or Tom Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom  Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- Tom's food and the food on the pink plate are not peas or potatoes  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger or Pam

- Donna did not bring the black plate  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom or Pam Pink plate = Roger or Pam

- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted Purple plate = Tom or Donna White plate = Roger, Tom, Pam or Donna Black plate = Roger, Tom or Pam Pink plate = Roger or Pam

- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted Purple plate = Tom White plate = Roger, Pam or Donna Black plate = Roger or Pam Pink plate = Roger or Pam

- Tom's food and the food on the pink plate are not peas or potatoes  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted Purple plate = Tom White plate = Donna Black plate = Pam Pink plate = Roger

Therefore, Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.

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Related Questions

Mariam only saves quarters and dimes. She has already saved 13 quarters and 5 dimes. She wants to purchase a book that costs 7.75. Not including the money she already has, what combinations of quarters and dimes could Mariam save so she has exactly enough money to buy the book?

Answers

Answer: 8 Quarters, 20 Dimes

Quarters:

Current/ 13

13x25= 3.25

Dimes:

Current/ 5

5x10= 50 …. 50 cents

Current price: $3.75

Need $4.00

What you need:

Quarters: +8

4 = 100 x2 is 200 …. $2.00

Dimes: + 20

10 = 100 x2 is 200 … $2.00

Which repression is equivalent to:
(Picture)

Answers

Answer:

sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would

Hey everybody!
Can somebody please help me put with this problem?
I would really appreciate it if you could! Take a look!​

Answers

Answer: f(2) = 1

Explanation: y = mx + b
f(x) = mx + b
m = 1
b = -1
f(x) = x - 1
f(2) = 2 - 1
f(2) = 1
I’m not sure if I’m right

Please hurry, will mark brainliest if you answer correctly

Answers

Answer:

10

Step-by-step explanation:

according to BODMAS

6÷2=3

3+3=6

4^2=16

16-6=10

16.00 is the correct answer

Gul can run 800 meters in 139 seconds.About how long would it take her to run 6 times far if she runs at the same speed? Choose the best estimate.

Answers

Answer:

834 seconds or 13 minutes and 54 seconds

Step-by-step explanation:

139 x 6 = 834

Find the nth term of the geometric sequence.

Answers

[tex]a_2 = ar^{2-1} =ar = 6~~ ...(i)\\\\a_4 = ar^{4-1} = ar^3 = 2186 ~~....(ii)\\\\\\(ii)\div (i):\\\\\dfrac{ar^3}{ar} = \dfrac{2186}6\\\\\implies r^2 = \dfrac{2186}6 = \dfrac{1093}3\\\\\implies r = \pm \sqrt{\dfrac{1093}3}\\\\a= \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}}\\\\\text{nth term} = ar^{n-1} = \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( \pm{ \sqrt{\dfrac{1093}3} \right)^{n-1} = \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( { \sqrt{\dfrac{1093}3} \right)^{n-1} \\\\\\[/tex]

[tex]= 6\left(\dfrac{1093}3 \right)^{\tfrac{n-2}2}[/tex]

Answer:

aₙ = (6/19)*19ⁿ⁻¹

Step-by-step explanation:

Given:

a₂ = 6a₄ = 2166

Equation of nth term of GP:

aₙ = a₁rⁿ⁻¹

Substitute for 2nd and 4th terms:

a₂ = a₁r = 6a₄ = a₁r³ = 2166

Substitute the value of a₂ into a₄ and find the value of r:

a₁r³ = a₁r * r² = 6r²6r² = 2166r² = 2166/6r² = 361r = √361r = 19

Find the first term:

a₁r = 6a₁*19 = 6a₁ = 6/19

The equation of nth term is:

aₙ = (6/19)*19ⁿ⁻¹

I need help with this :///

Answers

9514 1404 393

Answer:

  f(x) = -3/2x +5

Step-by-step explanation:

The differences between the x-values are all 2.

The differences between the y-values are all -3.

When the ratios of the differences are constant, the function is linear. The slope is ...

  m = Δy/Δx = -3/2

The y-intercept is given by the table value where x=0: b=5.

Then the slope-intercept equation is ...

  f(x) = mx +b

  f(x) = -3/2x +5

The state of Colorado has 7 representatives in the U.S. House of Representatives. There are a total 435 representatives. What is the percentage of Colorado’s representation?

Answers

Answer:

1,61 %

Step-by-step explanation:

Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100

7/435*100= 1,61 %

ANSWERS
An automotive insurance company has 25,000 policyholders. The accident rate is 0.07.
The number of accidents the company will have to pay out for is
1,750
. If the payout for each claim (after deductibles) is $8,000, the company’s total payouts will amount to $
14,000,000
. If the company wants to keep a profit margin of 8%, the premium it must charge is $
604.8
. The company can set aside a maximum amount of $
1,120,000
for this year’s investments.

Answers

Answer:

D. 604.8

Step-by-step explanation:

Answer: these are correct

1,750

14,000,000

1,120,000

604.8

Joe cuts ten pizzas into quarters. How many pizza quarters are there in total?

Answers

Answer:

40 pizzas in total

Step-by-step explanation:

10×4=40

can someone give me the answer to this please!​

Answers

Answer:

f hnjkhufqeyuwegbwegnasdgjbbhdfu8isbhwsduihjjrwhiwerhugwhj4g4wyug4huwreuywefgkofjfu9qhfu8mfnfnjrfnfjqwejknuiaefhbuqwiefjjjhjjjj

Step-by-step explanation:

fgjnwehgbwhgbge

The radius of a circle is 5 ft. Find its circumference in terms of pi

Answers

Answer:

10 pi

Step-by-step explanation:

circumference of the circle equals = 2π R = 2*pi* radius

so circumference = 2*5*π = 10π = 10 pi (in terms of pi)

Answer:

The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is pi (approximately equal to 3.14), and "r" is the radius.

Given that the radius of the circle is 5 inches, we can substitute this value into the formula to find the circumference:

C = 2πr

C = 2π(5)

C = 10π

Therefore, the circumference of the circle is 10π inches.

Scores in the first and final round for a sample of 8 golfers who completed golf tournament as shown below. Golfer First Round Final Round 1 73 78 2 68 75 3 70 66 4 67 71 5 71 73 6 70 68 7 68 65 8 73 72 a. State any appropriate hypothesis that can be tested for the above data. Use 2% level of significance to test the stated hypothesis. Use p-value approach

Answers

Answer:

golfing is fun but not to fun

Step-by-step explanation:

3x + 4 = 16 what is x?

Answers

Answer:

x = 4

Step-by-step explanation:

3x + 4 = 163x = 16 - 43x = 12x = 12/3x = 4

The length of a flat-screen tv is 5 inches less than 3 times its width if the perimeter of the tv is 150 inches find the demensions

Answers

Answer:

Length(L) is 55

Width(W) is 20

Step-by-step explanation:

Samantha has 7/3 cups of ice cream to make milk shake.Each shake uses 1/8 cup of ice cream. How many milk shakes can she make?

Answers

18 milkshakes
Hope this helps

The value in cents of a nickels, The value in cents of a dimes =, The value in cents of a quarters = , The value in cents of a dimes and one quarter = ,The value in cents of 13 dimes =​

Answers

The value in cents of a nickels = 5a

     [] A nickle is worth 5 cents, so 5a is the value of a nickles

The value in cents of a dimes = 10a

     [] The value of a dime is 10 cents, so 10a is equal to a dimes

The value in cents of a quarters = 25a

     [] A quarter is worth 25 cents, so 25a is the value of a quarters

The value in cents of a dimes and one quarter = 10a + 25

     [] Up above we figured out the expression for a dimes, so we need to add 25 to it for one quarter

The value in cents of 13 dimes =​ 130

     [] A dime is worth 10 seconds, so 13 * 10 = 130

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Function or not functional pls help

Answers

Answer:

It is a function.

Step-by-step explanation:

Each input goes to exactly one output. Therefore, this is a function.

-17/2 < -1/2 - 4x ≤ 15/2
Please help helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp​

Answers

Given info: -17/2 < (-1/2) - 4x ≤ 15/2

Find the value of x ?

Explanation:

Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2

⇛ -17/2 < (-1-8x)/2 ≤ 15/2

On multiplying with 2 then

⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)

⇛ -17 < -1-8x ≤ 15

On adding 1 in the in-equation then

⇛ -17+1 < -1-8x+1 ≤ 15+1

⇛ -16 < -8x ≤ 16

On dividing by 8 in the in-equation then

⇛ -16/8 < -8x/8 ≤ 16/8

⇛ -2 < -x ≤ 2

⇛ 2 > x ≥ - 2

⇛ -2 ≤ x < 2

⇛ x € [-2,2)

Answer:The solution set = { x : -2 ≤ x < 2, x€R }

The possible values of x = -2,-1,0,1

If you have any doubt, then you can ask me in the comments.

Which of the following is equal to the expression below
(8 - 32014
A 40
B. 30
C 835
D. 1035

Answers

Answer:

C 835Which of the following is equal to the expression below

Find all solutions to below and explain why it must be constant coefficient.

Answers

The solution to the differential equation will be expressed as [tex]y_c=Ce^{2x}[/tex]

Given the differential equation;

[tex]\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0[/tex]

Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation

Let [tex]D=\frac{dy}{dx}[/tex]

The differential equation becomes;

[tex]D^2y-2Dy=0\\(D^2-2D)y=0[/tex]

Factorizing the auxiliary equation m² - 2m = 0

m² = 2m

m = 2

Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as  [tex]y_c=C_1e^{m_1x} + C_1e^{m_2x} \\[/tex]

Given that m =2, the solution will be expressed as [tex]y_c=Ce^{2x}[/tex]

b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.

Learn more here: https://brainly.com/question/13512633

Select whether the equation has a solution or not.
√5-7
no roots
O roots

Answers

☆Answer :

[tex] \sqrt{x} = 7[/tex]

[tex]x = {7}^{2} [/tex]

[tex]x = 49[/tex]

Root.

i need help on this math problem

Answers

Answer:

I cant Really type the thing out, i posted a screen shot

Step-by-step explanation:

Help ASAP PLEASSEEEEE for 30 points

Answers

First picture:

5). 343

Second Picture:

1). 89

2). -26

3). 20

4). 62

Third Picture:

Equation 1: Associative

Equation 2: Commutative

Equation 3: Associative

Equation 4: Distributive

Equation 5: Commutative

Equation 6: Associative

Last Picture:

1). B).

2). C).

Please mark Brainleist

Need help quickly
(Finding angle measures using triangles)

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Last time I asked a boy put a scam website.


What’s 924 / 6

/ means divided by

Tell me if I’m seeing this incorrectly

A revenue for a vegetable dish contains 924 calories. The dish serves 6 people. How many calories are in each serving?

Answers

Answer: 924 / 6 = 154

Step-by-step explanation: Yes, you are correct 924 / 6 =154

im pretty sure its 154

HEEEEELP!!!!! what are 5 expressions that are equivelent to 8x+16

Answers

Answer:

8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)

Step-by-step explanation:

Can someone help me with this question? please

Answers

It is a quadratic equation. (X-8)(x+8)

Help my questions in the pic fast

Answers

Answer:

K=2

Step-by-step explanation:

Given y=(1/2)^x

y=2^-x

Hope this helps :)

what are the solutions to the equation (x-2)(x-4)=8?

Answers

Answer:

=

6

=

0

Step-by-step explanation:

The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A quadratic equation (x - 2)(x - 4) = 8.

∴ x² - 4x - 2x + 8 = 8.

x² - 6x = 0.

x(x - 6) = 0.

So, x = 0 Or x - 6 = 0 ⇒ x = 6.

learn more about quadratic equations here :

https://brainly.com/question/17177510

#SPJ2

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