Please help me. My math teacher said that there is some sort of pattern that will help us understand how to win the game. Here is what the question is:

You will be competing with other contestants for a grand prize of 1 million dollars. All of the contestants will form a circle around the host. Starting at seat #1, The person to the left of that contestant seat #1 is out of the game. The next remaining contestant is in seat #3. The person left of that remaining contestant is out of the game. This pattern continues until there is one contestant remaining. The object is simple. Determine what seat # you must sit on the circle in order to be the last contestant remaining. Since you do not know how many contestants are on the show, you must come up with an explanation of how to win at this game.

Thank you friends!

Answer:

The inequality to show how many hours of television Julia can still watch this week can be given as:

⇒ [tex]x+1.5\leq 5[/tex]

where [tex]x[/tex] represents he number of hours of television that Julia can still watch this week

On solving for [tex]x[/tex], we get

[tex]x\leq3.5[/tex]

Thus, Julia can still watch no more than 3.5 hours of television this week.

Step-by-step explanation:

Given:

Julia is allowed to watch television no more than 5 hours a week.

She has already watched 1.5 hours

To write and solve an inequality to show how many hours of television Julia can still watch this week.

Solution:

Let the number of hours of television that Julia can still watch this week be = [tex]x[/tex]

Number of hours already watched = 1.5

Total number of hours of watching television this week would be given as:

⇒ [tex]x+1.5[/tex]

It is given that Julia is allowed to watch no more than 5 hours of television in a week.

Thus, the inequality can be given as:

⇒ [tex]x+1.5\leq 5[/tex]

Solving for [tex]x[/tex]

Subtracting both sides by 1.5

[tex]x+1.5-1.5\leq 5-1.5[/tex]

[tex]x\leq3.5[/tex]

Thus, Julia can still watch no more than 3.5 hours of television this week.

Answer: -2

Step-by-step explanation:

Let the number be x , then twice the number is 2x.

Twelve decreased by twice the number = 12 - ( 2x )

8 times the sum of the number and 4 = 8 ( x + 4 )

combining the two , we have

12 - 2x = 8 ( x + 4 )

12 - 2x = 8x + 32

12 - 32 = 8x + 2x

-20 = 10x

x = -20/10

x = -2

Answer:

$32,577.89

Step-by-step explanation:

Use the formula for amount after compound interest. A = P(1 + i)ⁿ

'P' is the principal, meaning starting amount. P = $20,000

'i' is the interest per compounding period in decimal form. Since the compounding period is annual, just like the interest rate is given as, i = 0.05. If  the compounding period was not annual: then i = r/c (annual interest rate divided by number of compounding periods in a year).

'n' is the number of compounding periods, or the number of times the interest increases. n = 10. Calculate 'n' using n = tc (number of years times number of compounding periods in a year). Since c=1, n = t. ('t' is the number of years).

'A' is the amount after 'n' years. We need to find A.

Use all of the numbers that we know for the variables, replace the variables with the numbers in the formula. Solve for 'A'.

A = P(1 + i)ⁿ

A = $20,000(1 + 0.05)¹⁰     Add inside brackets first

A = $20,000(1.05)¹⁰       Do (1.05)¹⁰ then multiply by 20,000

A = $32,577.89           Answer

Therefore the balance will be $32,577.89 after 10 years.

Answer:

[tex]\left\{\begin{array}{l}y_1=\log (2x+1)\\ \\y_2=3x-2\end{array}\right.[/tex]

Step-by-step explanation:

Given the equation

[tex]\log (2x+1)=3x-2[/tex]

This equation consists of two parts. In the left part, there is a logarithmic function [tex]y=log (2x+1)[/tex]

In the right part, there is a linear function [tex]y=3x-2[/tex]

To solve the equation graphically, you have to plot the graphs of these two functions and find the point of intersection of these graphs.

Hence, appropriate system is

[tex]\left\{\begin{array}{l}y_1=\log (2x+1)\\ \\y_2=3x-2\end{array}\right.[/tex]

Answer:

The average cost of each dinner at Dave's party is $5.79.

Step-by-step explanation:

Given:

Dave ordered dinner for a party of 10 people.

Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.

Now, to find the average cost of each dinner at Dave's party.

So, we get the total amount for the dinner:

Three people ordered the $4.75 chicken dinner.

[tex]4.75\times 3=14.25[/tex]

Two people ordered the $4.95 fish dinner.

[tex]4.95\times 2=9.90[/tex]

Five had the beef dinner at a cost of $6.75.

[tex]6.75\times 5=33.75[/tex]

Total amount of dinner = [tex]14.25+9.90+33.75=\$57.90.[/tex]

Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:

[tex]57.90\div 10[/tex]

[tex]=\$5.79.[/tex]

Therefore, the average cost of each dinner at Dave's party is $5.79.

Final answer:

To find the average cost per dinner at Dave's party, calculate the total cost of each type of dinner and sum them up to get the total cost. Then, divide the total cost by the number of guests to obtain the average cost. The average cost per dinner is $5.79.

Explanation:

To calculate the average cost of each dinner at Dave's party, first calculate the total cost of all dinners combined by multiplying the number of each type of dinner by its price and then adding up the totals:

Chicken dinner cost: 3 dinners × $4.75 = $14.25

Fish dinner cost: 2 dinners × $4.95 = $9.90

Beef dinner cost: 5 dinners × $6.75 = $33.75

Next, add all the costs together to get the total cost of the dinners:

Total cost = $14.25 + $9.90 + $33.75 = $57.90

Now, divide the total cost by the number of guests to find the average cost per dinner:

Average cost = Total cost ÷ number of guests

Average cost = $57.90 ÷ 10 = $5.79

So, the average cost per dinner at Dave's party is $5.79.

Answer:

f = 1/8

Step-by-step explanation:

f x 4 = 1/2

f = 1/8  ( multiplying both sides by 1/4 )

The fraction f that gives 1/2 when multiplied by 4 is 1/8.

That is, f = 1/8

A fraction f multiplied by 4 equals 1/2

This can be written mathematically as:

[tex]f \times 4 = \frac{1}{2}[/tex]

This can be re-written as:

[tex]4f=\frac{1}{2}[/tex]

Divide both sides by 4

[tex]\frac{4f}{4} =\frac{1}{2} \div 4\\\\f= \frac{1}{2} \times \frac{1}{4}\\\\f=\frac{1}{8}[/tex]

The fraction f that gives 1/2 when multiplied by 4 is 1/8.

That is, f = 1/8

Learn more here: https://brainly.com/question/14513877

I'm assuming the equation is:

v = -2000t + 20,000     because the value of a car decreases with time

v = worth of the car

t = number of years

Since you know the value of v = 10,000, substitute or plug in 10,000 for v in order to find t

v = -2000t + 20,000  Substitute 10,000 into v  [To find t, you need to get the variable by itself to one side of the equation.]

10,000 = -2000t + 20,000     Subtract 20,000 on both sides

-10,000 = -2000t    Divide -2000 on both sides to get t by itself [negative divided by a negative results in a positive]

5 = t

Final answer:

To the nearest year, it will take about 6 years for the value of the car to reach $15,500.

Explanation:

To find how long it will take for the value of a car to depreciate to $15,500, we can set up an equation using the formula for exponential decay: V = P[tex](1 - r)^t[/tex], where V is the final value, P is the initial value, r is the depreciation rate, and t is the time in years.

Plugging in the given values, we have 15500 = 24000[tex](1 - 0.0675)^t[/tex]. To solve for t, we can take the logarithm of both sides:

log(15500) = log(24000[tex](1 - 0.0675)^t)[/tex]

t * log(1 - 0.0675) = log(15500/24000)

t = log(15500/24000) / log(1 - 0.0675)

Using a calculator, we find that t is approximately 5.54 years. Rounding to the nearest year, it will take about 6 years for the value of the car to reach $15,500.

First, calculate the area of the rectangular yard.

A = L x W    where A equals area, L equals length, and W equals width.

According to your stated problem:

A = 31 x 49

A = 1519 square feet          <-------Area of Rectangular yard.

Final answer:

The expressions 4x and 15 + x are not equivalent as they yield different results for the same value of x.

Explanation:

The expressions 4x and 15 + x are not equivalent. Equivalence between two expressions means that for any value of the variable(s) involved, the expressions yield the same result. To determine if these expressions are equivalent, you can compare them for different values of x. For instance, if x is 1, 4x yields 4, whereas 15 + x yields 16, which are not the same. Thus, we can say that the expressions 4x and 15 + x are not equivalent as they produce different results for the same values of x.

Answer:

12

Step-by-step explanation:

I calbvkjy

The answer is 3 :)

Have a nice day!

Expression that shows distance Kurt can drive on a tank of gasoline is 23g miles

Solution:

Given that, Kurt's car gets 23 miles to a gallon of gasoline

He filled up his car's gas tank with g gallons

To find: Expression that shows distance Kurt can drive on a tank of gasoline

From given,

1 gallon of gasoline = 23 miles

Kurt fills up his car with "g" gallons

Therefore, for "g" gallons,

[tex]1 \times g \text{ gallons of gasoline } = 23 \times g \text{ miles }\\\\g \text{ gallons of gasoline } = 23g \text{ miles }[/tex]

Thus the distance Kurt can cover with "g" gallons is:

[tex]distance = 23g\ miles[/tex]

Thus with "g" gallons of gasoline, Kurt can drive 23g miles

Using the associative property of addition, two equivalent expressions to find the total cost are: (1) ($12 + $24) + $6 and (2) $12 + ($24 + $6). Both expressions will yield the same result due to the associative property.

The question involves using the associative property of addition to find equivalent expressions for the total cost of items bought for Anita's mother's party. The total costs given are for three items: cake ($12), hot dogs and hamburgers ($24), and drinks ($6). To demonstrate the associative property, we can group the costs in different ways before adding them.

Both expressions will yield the same total cost when calculated, which shows the associative property of addition in action.

Answer:f=−

​7

​

​x

​2

​​ +1−2g−x

​​  

Step-by-step explanation:

1 Subtract {x}^{2}x

​2

​​  from both sides.

2{x}^{2}+1-g-x-{x}^{2}=-7f+g2x

​2

​​ +1−g−x−x

​2

​​ =−7f+g

2 Simplify  2{x}^{2}+1-g-x-{x}^{2}2x

​2

​​ +1−g−x−x

​2

​​   to  {x}^{2}+1-g-xx

​2

​​ +1−g−x.

{x}^{2}+1-g-x=-7f+gx

​2

​​ +1−g−x=−7f+g

3 Subtract gg from both sides.

{x}^{2}+1-g-x-g=-7fx

​2

​​ +1−g−x−g=−7f

4 Simplify  {x}^{2}+1-g-x-gx

​2

​​ +1−g−x−g  to  {x}^{2}+1-2g-xx

​2

​​ +1−2g−x.

{x}^{2}+1-2g-x=-7fx

​2

​​ +1−2g−x=−7f

5 Divide both sides by -7−7.

-\frac{{x}^{2}+1-2g-x}{7}=f−

​7

​

​x

​2

​​ +1−2g−x

​​ =f

6 Switch sides.

f=-\frac{{x}^{2}+1-2g-x}{7}f=−

​7

​

​x

​2

​​ +1−2g−x

​​  

Answer:

[tex]y =\fracc{4}{3}x+5[/tex]

m=4/3 and b=5

Step-by-step explanation:

We want to find the equation of the line passing through (3,9) and (6,13).

We determine the slope using:

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

Let:

[tex](x_1=3,y_1=9), (x_2=6,y_2=13)[/tex]

We substitute the points to get:

[tex]m = \frac{13 - 9}{6 - 3} = \frac{4}{3} [/tex]

We now use the formula:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute to get:

[tex]y - 9 = \frac{4}{3} (x - 3)[/tex]

Multiply through by 3 to get;

[tex]3y - 27 = 4(x - 3)[/tex]

We expand further to get:

[tex]3y - 27 = 4x - 12[/tex]

This implies that:

[tex]4x - 3y = - 15[/tex]

We solve for y to get:

[tex]y =\fracc{4}{3}x+5[/tex]

Therefore m=4/3 and b=5

Answer:

(-2,10)

Step-by-step explanation:

6x-2= -12

3y = 3×10 =30

30+(-12)=18

1/2(3^3-1)

1/2(27-1)

1/2(26)

13

Answer:

13

Step-by-step explanation:

Replace b with 3, then multiply 3^3 get the answer then subtract by 1, last multiply what u got from the paranthesis by 1/2

Answer: I believe the answer to this question is: X= 1/5.

Answer:

D) y= -3x + 6

Step-by-step explanation:

y = mx + p

m = slope = (0-6)/(2-0) = -6/2 = -3

p = y-intercept = 6  ,because the line passes through points (0,6)

Answer:

D) y= -3x + 6

Answer:120 girls

Step-by-step explanation:

40% equals 80 boys, so 200 people less 80 is equal 120, therefore are 120 girls!

The number of girls is 120.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. It is used to measure frequency.

Percentage of girls = 100 = 40 = 60%

Number of girls = 60% x 200

= 120

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

if b = 8

and h = 6

and if im understanding correctly it is asking B*H/2 that would be 8*6 which is 48 then divided by 2 would be 24  

Step-by-step explanation:

Final answer:

Using the formula A = bh/2 for the area of a triangle, with b as 8 and h as 6, we find that the area A equals 24 square units.

Explanation:

To solve the given problem, we need to apply the formula for the area of a triangle, which is A = bh/2, where 'b' is the base of the triangle and 'h' is the height. Given that b equals 8 and h equals 6, we can substitute these values into the formula to find the area.

A = bh/2

A = (8)(6)/2

A = 48/2

A = 24

Therefore, the area of the triangle when b is 8 and h is 6 is 24 square units.

Mikes repair shop $100 service charge plus $65 per hour Amys auto repair $40 service charge plus $80 per hour write an equation for each repair shop to represent the total cost of a car repair as a function of the number of hours worked let C = total cost to you let h = number of hours worked. Suppose you need to get the dent in your car repaired you see the ads above in the newspaper your father who knows a bit about cars said it would take no more than 3 hours for the repair person to fix your car how do you determine where you should take your car to get it repaired

-Mike Cost:: M(3) = 100 +65*3 = $295

-Amy Cost:: A(3) = 40 + 80*3 = $280

------------------------------------------------------------

-Mike charges 100 dollars service charge plus 65 dollars per hour.

-Amy charges 40 dollars service charge plus 80 dollars per hour.

-The cost to repair from mike is 100 + 65 * x.

-The cost to repair from amy is 40 + 80 * x.

------------------------------------------------------------

Let x = 3 and you get:

The cost to repair from mike is 100 + 65 * 3 = 295 dollars.

The cost to repaid from amy is 40 + 80 * 3 = 280 dollars.

As long as the time to repair is 3 hours or less, the cost to repair will be cheaper from Amy.

Answer:

The n th of the given sequence is [tex]t_{n} = 26-6 n[/tex]

Step-by-step explanation:

Step 1 :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference is[tex]d = second term- first term = 14-20=-6[/tex]

now the nth term of given sequence is

by using formula [tex]t_{n}=a+(n-1)d[/tex]

[tex]t_{n}= 20+(n-1)(-6)[/tex]

[tex]t_{n}= 20-6 n+6[/tex]

final answer:-

[tex]t_{n} = 26-6 n[/tex]

verification:-

[tex]t_{n} = 26-6 n[/tex]

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

[tex]t_{n} = 26-6 n[/tex]

Step-by-step explanation:

The slope is described by the the initial and final value of one quantity over the difference between the initial and final of the other

Rate: for points on a Cartesian plane,(x1, y1) and (x2, y2)

the slope, m= (y2 - y1)/(x2 - x1)

The rate of change on the other hand is mostly refers to how much a quantity is changing with time i.e the rate of change of y from y1 to y2 can be expressed as

rate = (y2 - y1)/(t2 - t1)...where t1 and t2 are the various time in y1 and y2 respectively...

Answer: y-intercept

Explanation The "b" or the constant term represents the y-intercept which is the point where the line crosses the y-axis.

Answer:

Step-by-step explanation:

Mean= 10+2+5+2+6+7+9+2+3/9

=46/9 = 5.11

Arrange in Ascending order:

2,2,2,3,5,6,7,9,10

Mode = 2     ( that occurs most number of times)

Median = 5   ( median is the middle term)

Answer:

LN = 13 units.

Step-by-step explanation:

If LMNP is a rectangle, then LN and MP are the two diagonals of the rectangle and they are equal.

Now, given that LN = 7x - 8 and MP = 4x + 1

So, 7x - 8 = 4x + 1

⇒ 3x = 9

⇒ x = 3

Therefore, LN = 7x - 8 = 7(3) - 8 = 13 units. (Answer)

Answer:

[tex]x = \frac{1}{4} y + \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]y = 4x - 2[/tex]

first flip

[tex]4x - 2 = y[/tex]

now add 2 to each side

[tex]4x + 2 = y + 2[/tex]

now

[tex]4x = y + 2[/tex]

divide by 4

[tex]4x \div 4 = 4 + 2 \div 4[/tex]

so

[tex]x = \frac{1}{4} y + \frac{1}{2} [/tex]

Answer:

2p+5=n

(p = Jake's points)  (n = Nate's points)

The relationship between Nate's and Jake's scores can be expressed by the expression N = 2p + 5.

The relationship between the number of points Nate scored (represented by N) and the number of points Jake scored (represented by p) can be expressed as:

N = 2p + 5

This expression represents that Nate's score is equal to twice the number of points Jake scored, plus 5.