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Vsevolod [243]
2 years ago
10

There are 10 contestants in a race. You want to determine how many ways there could be a

Mathematics
1 answer:
Maksim231197 [3]2 years ago
7 0

Answer:

720 different ways

Step-by-step explanation:

To decide whether you are doing a Permutation or Combination, ask yourself if order matters. If the order of things is important then it is a permutation question, if the order doesn't matter then it is a combination question.

In this case, the order is important because there is a difference who will be the first place winner, the second place winne and the third place winner.

Use permutation formula:

P^{10}_3=\dfrac{10!}{(10-3)!}=\dfrac{10!}{7!}=\dfrac{7!\cdot 8\cdot 9\cdot 10}{7!}=8\cdot 9\cdot 10=720

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Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?
IgorLugansk [536]

[Hello,BrainlyUser!\; I'm\;Lenvy]

Your\;Answer\;Is\;Below

Answer:

42 feet

Step-by-step explanation:

First let know what is

Yards to Feet

Note that;

1 Yard ⇒ 3 Feet

Thus, Formula: Multiply the length value by 3

Given:

Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?

Therefore, 14 * 3 = 42

Hence, Answer is Lena brough 42 feet of ribbon.

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4 0
2 years ago
Read 2 more answers
Please answer A S A P
guajiro [1.7K]

Answer:

1, i) equation for Mike's Repair Shop = $65x + $100

  ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3.  x = 4  

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times3 + $40 = $280 and Mike's will cost = $65\times3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times6 + $40 = $520 and Mike's will cost = $65\times6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

Step-by-step explanation:

i) x = number of hours worked

ii) y = total cost

1, i) equation for Mike's Repair Shop = $65x + $100

  ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3.   15x = 60, therefore x = 4  

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times3 + $40 = $280 and Mike's will cost = $65\times3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times6 + $40 = $520 and Mike's will cost = $65\times6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

4 0
3 years ago
A regular decagon with exterior angle 1 is shown.
vova2212 [387]

Answer:

  ∠1 = 36°

Step-by-step explanation:

All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.

<h3>Exterior angles</h3>

The sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by ...

  10(∠1) = 360°

  ∠1 = 36° . . . . . . . . divide by 10

8 0
2 years ago
The polygons below are similar... please help I will mark you brainliest thank youuuu
antiseptic1488 [7]

Answer:

y=27 and x=9

Step-by-step explanation:

the ratio is 4 to 3

3 0
3 years ago
3,5,8,12....... state the rule in the sequence​
amm1812

2n + 1

the number before n is the difference (what it goes up in), and the second is the ‘zeroth’ term: you take away the 2 you got from the first value, 3, and get 1 :)

8 0
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