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alexgriva [62]
3 years ago
14

Six hundred people are competing in a triathlon. There is a $1000 prize for first and a $500 prize for second. How many differen

t first-second place finishes are possible?
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
6 0

Answer:

10626

Step-by-step explanation:

The total number of people purchase raffle tickets=23

The total number of prizes = 3

Since , order matters here , so we use Permutations.

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the temper ire of chicken soup is 192.7 F as it cools the temperature of the soup decreases 2.3 what is the temperature of the s
ad-work [718]

The temperature of soup after 25 minutes is 135.2^{\circ}\ F

<em><u>Solution:</u></em>

The temperature of chicken soup is 192.7°F

As it cools, the temperature of the soup decreases 2.3°F per minute

Let the initial temperature be T_0

Let "t" be the time for rate of decrease

Set up an equation

Temperature = Initial temperature - decrease in temperature

Decrease in temperature = rate of decrease x time

Therefore,

T = T_0-2.3t

<em><u>To find the temperature of soup after 25 minutes, substitute t = 25</u></em>

T = 192.7 - 2.3 (25)\\\\T = 192.7 -57.5\\\\T = 135.2

Thus the temperature of soup after 25 minutes is 135.2^{\circ}\ F

5 0
3 years ago
4. Break-Even Analysis
DiKsa [7]

Answer:

x = 1178 games

Step-by-step explanation:

Let the number of games = x

Let the total cost = Tc

Let the total revenue = Tr

Given the following data;

Investment = $10,000

Cost of each game = $1.50

Selling cost = $9.99

Total cost, Tc = (Cost of each game * Number of games) + Investment

Tc = 1.50x + 10000

Total revenue, Tr = Selling cost * Number of games

Tr = 9.99x

Breakeven point is when total cost is equal to total revenue;

Tc = Tr

1.50x + 10000 = 9.99x

9.99x - 1.50x = 10000

8.49x = 10000

x = \frac {10000}{8.49}

x = 1177.86 ≈ 1178 games.

<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>

4 0
3 years ago
A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
sweet [91]

Answer:

y = -2x - 3

Step-by-step explanation:

Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2

y-intercept: 5 - (-2)(-4) = -3

4 0
3 years ago
Which one is for inverse tangent?
ELEN [110]

Answer:

A

Step-by-step explanation:

i looked at my chart

8 0
3 years ago
Read 2 more answers
Select any solutions that have the same solution set as: 2x+3=13-5x
Alex_Xolod [135]
C is one of the answers
6 0
3 years ago
Read 2 more answers
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