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iren [92.7K]
3 years ago
15

At a competition with 6 runners, medals are awarded for first, second, and

Mathematics
2 answers:
irga5000 [103]3 years ago
5 0

Answer: 120 different ways. It is a permutation.

Step-by-step explanation:

Because 1st, 2nd, and 3rd are different positions and the order of placing matters, this is a permutation. (In Combinations, the order doesn’t matter, like in choosing people to be on a team without any positions). The calculation is 6x5x4 because there are 6 competitors who could get first, 5 who could get second (the 6th already has first place), and 4 who could get 3rd ( the other two already have 1st and 2nd place).

kondor19780726 [428]3 years ago
4 0

Answer:

permutation 120 ways

Step-by-step explanation:

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7 0
3 years ago
Jenna and Heidi together have $60. Jenna has $9 more than twice Heidi’s amount. How much money does each have?
Marina86 [1]

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60   Eqn 1

x=2y+9   Eqn 2

Putting value of Eqn 2 in Eqn 1;

(2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51

Dividing both sides by 3,

\frac{3y}{3}=\frac{51}{3}\\y=17\\

Putting y=17 in Eqn 2

x=2(17)+9\\x=34+9\\x=43

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

Learn more about substitution method at:

  • brainly.com/question/10736268
  • brainly.com/question/10764770

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4 years ago
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8 0
4 years ago
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How many units long is a line segment whose endpoints have coordinates (-3,7) and (2,-5)?
Ilia_Sergeevich [38]

Answer:

D = 13 units

Step-by-step explanation:

<u><em>Using Distance Formula to find the length.</em></u>

Distance Formula = \sqrt{(x2-x1)^2+(y2-y1)^2}

D = \sqrt{(2+3)^2+(-5-7)^2}

D = \sqrt{(5)^2+(-12)^2}

D = \sqrt{25+144}

D = \sqrt{169}

D = 13 units

8 0
3 years ago
Read 2 more answers
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