A restaurant allows groups to rent a private room in the restaurant for $50. This is in addition to the cost of food which is $10 per person.

Use the Ray tool to make a graph that shows C, the total cost for a group of p people to eat in the rented private room. Graph the ray by plotting two points. The first point selected must be the endpoint of the ray. The second point can be any other point on the ray.

The fraction of the money belonging to Rachel is [tex]\frac{5}{16}[/tex]

Let [tex]R[/tex] be the amount of money Rachel has

Let [tex]N[/tex] be the amount of money Neil has

Let [tex]C[/tex] be the amount of money Caroline has

Let [tex]M[/tex] be the total amount of money shared between the three people

Then, from the problem we have the following relationships

[tex]R+N+C=M\\\\5N=R \implies N=\frac{R}{5}\\\\\frac{C}{2}=R\implies C=2R[/tex]

Substituting the formulae for [tex]N[/tex] and [tex]C[/tex] into the sum [tex]R+N+C=M[/tex], we get

[tex]R+\frac{R}{5}+2R=M\\\\\frac{5R+R+10R}{5}=M\\\\\frac{16R}{5}=M\\R=\frac{5M}{16}[/tex]

Or, we can say that, [tex]R=\frac{5}{16}\text{ of }M[/tex]

Therefore, the fraction of money Rachel gets is [tex]\frac{5}{16}[/tex] of the total amount.

For an additional example of how to solve word problems that involve sharing money among people, see this answered question: https://brainly.com/question/23286685

Answer:

Step-by-step explanation:

The mean of an equation is the average of it. For example, if I take 3, 4, and 5 and I want to find the average of it, I would add them up (12) and then divide by 3, because there are 3 terms. So the mean of 3, 4, and 5 is 4. Now in your equation, you must find another number. 79, 76, 55, 20, 14, 68, 30, 29 added up is 371. Now, because there are 8 terms, I would divide 371/8. 371/8=46.38.

I am not done. I must find the missing value. I am going to use the process of elimination to solve.  I hav etried all numbers in my calcualtor that equal a high number, and then got 468. I then divided 468 with a 97 and got 52. 52 is the Missing value.

The equation that describes the number of tickets Rudolph can buy will be 25r + 10g = 150.

Therefore, the equation will be 25r + 10g = 150.

The number of tickets that Rudolph can buy if he buys only reserved seat tickets will be:

= $150 / $25 = 6

The number of tickets that Rudolph can buy if he buys only general admission tickets will be:

= $150 / $10 = 15

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Answer:

I'm not going to give the answer yet to see if you can figure it out.

Step-by-step explanation:

1. Find the place that your are rounding to. Ex: 6085

2. Then, look "nextdoor"; the number to the right of the number underlined. Ex: 6085

3. If this number is 1-4, then keep it the same. If it is 5-9, then add one to the digit to the left. Ex: 6085 becomes 6185

4. All of the digits to the right stay the same. Ones to the left become zero. Ex: 6185 becomes 6100.

I hope this helps!

The 100th even natural number is 200

Given the sequence 2, 4, 6, 8, 10....

The nth term of the sequence is expressed as:

Tn  = a + (n - 1)d

a is the first term = 2

d is the common difference = 4 - 2 = 6 - 4 = 2

n is the number of terms

Substitute the given parameters into the formula

Tn = 2(n-1)2

Tn = 2+(2n - 2)

Tn = 2n

Get the 100th term

T10=  2(100) = 200

Hence the 100th even natural number is 200

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Answer:

1)

200

2)  

10100

3)

less than

Step-by-step explanation:

on god

Answer:

19%

Step-by-step explanation:

if the starting number is 100 then 100 decreased by 10% is 100 times 0.9 =90

and decrease 10% again is 81 and in total decrease by 19%

Answer:

Median;$1.35 million

Step-by-step explanation:

You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.

Which measure of center is most appropriate, and what is the value of the measure of center?

median; $1.35 million

mode; $1.5 million

median; $2.15 million

mean; $4.9 million

mean; $5.58 million

Answer: 1.35 is wrong.

Step-by-step explanation:

I think you should use cards! its really helpful tbh.

Step-by-step explanation:

Answer:

When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.

Step-by-step explanation:

Answer:

18.939394miles

this is the correct answer happy

The probability of an event occurring is given by the ratio of the number of

possible outcome to the number of required outcome.

Reasons:

First question:

The number of faces in a coin = 2; A head or a tail

The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]

The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]

The probability that the first coin lands on heads and the second coin lands

on tails = P(H ∩ T)

Which gives;

[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]

The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25

Second question:

The number of black cards in a pack of 52 = 26 cards

The number of cards that are a 8 in a pack of 52 cards = 8 cards

[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]

[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]

The probability of drawing a black card and then an 8, P(B∩8), is given as follows;

[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]

The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]

Third question:

The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]

The number of consonant in the alphabet = 21

The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]

The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C)  = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]

Fourth question:

The number of even numbers on a die = 3; (2, 4, 6)

The number of numbers less than 2 on a die = 1

The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]

The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]

Therefore;

The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]

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Answer:

x = 9

Step-by-step explanation:

Exterior Angle property of a triangle:

The Exterior Angle property states that:

"The exterior angle of a triangle(the Angle obtained by extending one of the sides of the triangle) is equal to the sum of it's interior opposite angles."

In the given triangle RST:

∠VRS is the exterior angle, and

∠RTS and ∠RST are the interior opposite angles.

By using the above listed property,

∠VRS = ∠RTS + ∠RST

(Substituting the values of of angles from the figure)

=> (9x + 2) = 51 + (3x + 5)

=> 9x + 2 = 51 + 3x + 5

isolating x

=> 9x - 3x = 51 + 5 - 2

=> 6x = 54

dividing both sides by 6

=> x = 9

Answer:

Only 7 people can play and 1 card will remain

Step-by-step explanation:

Answer:

7 people can play

Step-by-step explanation:

there will be 1 card remaining

PLZ Mark Brainliest

Answer:

a and c

Step-by-step explanation:

that's because they both have a and c....so their relationship is a and c

Answer:

676.09

Step-by-step explanation:

550.87 + 75.98 = 626.85

626.85 - 34.88 = 591.97

591.97 + 84.12 = 676.09 therefore that's the amount at the end of the month

Answer:

9 ounces

Step-by-step explanation: i just started with 0.34 and added 0.23 until i got to 2.18 lol

Answer:

Kara is right

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

That would be y = (x +10)^2.

Answer:

Step-by-step explanation:

the nth term is n-4, so the 10th term (that means n = 10) is then 10-4 = 6

n-4 is the rule of the sequence.

Simply replace "n" with a number and solve your equation.

For example, if you are finding the 5th term, you do it like this:

= n - 4

= (5) - 4

= 1

Now, as you asked, the tenth term:

= n - 4

= (10) - 4

= 6

Answer:

28.34  x 1 = 28.34

14.17 x 2 = 28.34

There are required two multiplication expressions that might generate the result 28.34. Here are a number of such examples:

28.34 × 1

14.17 × 2

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

We have to determine two multiplication expressions that have the product of 28.34

As per the given question, the required solution would be as:

There are many possible multiplication expressions that could result in the product of 28.34. Here are two examples:

28.34 × 1

14.17 × 2

In the first example, the product is 28.34 because any number multiplied by 1 is equal to itself.

In the second example, the product is 28.34 because 14.17 multiplied by 2 is equal to 28.34.

Hence, the required answers are 28.34 × 1 and 14.17 × 2

Learn more about Multiplication operations here:

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#SPJ2

The perimeter of the octogon is 371.14 millimeters, and each side is about 46.4 millimeters.

Given that an octagon has an apothem of 56 millimeters and an area of 10,391.90 square millimeters, to determine what is the approximate perimeter of the octagon and what is the approximate length of one side of the octagon, the following calculation must be performed:

Therefore, the perimeter of the octagon is 371.14 millimeters, and each side is about 46.4 millimeters.

Learn more about maths in https://brainly.com/question/25749130

Answer:

Perimeter is 371mm

Length of one side is 46mm

Step-by-step explanation:

Got it right on Edge :)

Answer:

x=-1

Step-by-step explanation:

15x-5=12x-8 Simplify Parentheses

3x=-3 Isolate the variable

x=-1 Divide by 3 on both sides

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

Our equation is

[tex]5\left(3x-1\right)=4\left(3x-2\right)[/tex]

First, we distribute

Now we have

[tex]15x-5=12x-8[/tex]

Subtract [tex]12x[/tex] from both sides

[tex]3x-5=-8[/tex]

add [tex]5[/tex] to both sides

[tex]3x=-3\\[/tex]

Divide both sides by 3

[tex]x=-1[/tex]

Brainliest please

Answer:

A. x = 6

Step-by-step explanation:

2x+3(x+10)=60

Use the distributive property to multiply 3 by x+10.

2x+3x+30=60

Combine 2x and 3x to get 5x.

5x+30=60

Subtract 30 from both sides.

5x=60−30

Subtract 30 from 60 to get 30.

5x=30

Divide both sides by 5.

x=  

5

30

​

Divide 30 by 5 to get 6.

x=6

Answer:

The selected choice (#2) is correct

Step-by-step explanation:

Any rigid transformation (moving a figure, rotating it, flipping it around will leave the transformed figure congruent with the original. Scaling it (=dilating it) will generate a new figure what is similar to the original: angles remains the same but sides are in proportion.

Answer:

69

Step-by-step explanation:

23*2=46

23+46=69

[tex]x+2x = 3x \\\\\text{when x =23,}~ ~3x = 3(23) =69[/tex]

Answer:

4.00

Step-by-step explanation:

because it is rounding to the whole number

Answer

if 3.50 refers to ounces, it would round to 4.

Step-by-step explanation: