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Lunna [17]
3 years ago
9

Alexandra plays poker with seven friends. Each of the eight players starts with 60 chips, but players take chips from one anothe

r as play progresses. The goal of the game is to win all of the chips. A player drops out of the game if she loses all her chips to other players in the game. After five players have dropped out of the game, what is the average number of chips each of the remaining players has
Mathematics
1 answer:
madreJ [45]3 years ago
5 0

Answer:

160 chips

Step-by-step explanation:

Given

n = 8 --- players

c = 60 --- chips per player

First, calculate the total chips

Total = n * c

Total = 8 * 60

Total = 480

After 5 players are out; there are 3 players remaining in the game

So, the average number of chip with each of the remaining player is:

Average = \frac{Total}{n-5}

Average = \frac{480}{8-5}

Average = \frac{480}{3}

Average = 160

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Anit [1.1K]

Answer:

Step-by-step explanation:

we have that

f(x) = x^2 + x - 9

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0)  and (2.5, 0)

so

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

6 0
3 years ago
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The area of a garden is 8 3/4 square yards. If the lenght is 1 1/4 yards , what is the length?​
andrezito [222]

Answer:

The Missing Length = 7

Step-by-step explanation:

Equation: side length x side length = area

  • This means that if you divide the area by one of the side lengths, you'll find the other

1.  Convert the numbers into decimals

  • 8 3/4 -  8.75 (area)
  • 1 1/4  = 1.25 (side length)

2. Divide the <u>area</u> by the <u>side length</u>

  • 8.75 ÷ 1.25 = <u>7</u>

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6 0
2 years ago
What is the arc length of ACB?
Debora [2.8K]

Answer:

C. 82.43

Step-by-step explanation:

acb's angle is 315 degrees because

360 - 45 = 315

arc length is in radians

arc length is radius times (angle times (pi÷180))

arc length is 15 times (315 times (pi÷180))

arc length is 82.43

cuemathcomgeometry

4 0
1 year ago
What is the perimeter of this quadrilateral?<br> (5,5)<br> (2, 4)<br> (4, 1)<br> (6, 1)
lbvjy [14]

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BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}

DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89

8 0
2 years ago
A real estate broker's base salary is $18,000. She earns a 4% commission on total sales. How much must she sell to earn $55,000
evablogger [386]

The salary of the real estate broker = $18,000

Commission earned on total sales = 4% or 0.04

Total income earnings = $55,000

Let the total sales be = x

Equation becomes :

18000+0.04x=55000

0.04x=55000-18000

0.04x=37000

x=925000

Hence, the real estate broker must sell $925,000 worth of real estate to earn $55,000.

6 0
3 years ago
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