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jenyasd209 [6]
4 years ago
15

There are 100 runners entered in a marathon. How many different groups of three runners can finish in first, second, and third?

Does this problem involve permutations or combinations?
Mathematics
1 answer:
Lelu [443]4 years ago
3 0
Any one of the runners could be 1st.
Every runner except for the one that was 1st could be 2nd.
Every runner that wasn't 1st or 2nd could be 3rd.

100*99*98=970200 groups.
This involves permutations because order does matter.

Hope this helps!
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allochka39001 [22]

Answer:

the first one after 3 would be 4. now the numbers that have a four in the tens place, the numbers after that would be the ones that you would add to the leaf part. same as 8.

Example:

4 | 0 5 7

Step-by-step explanation:

6 0
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IrinaK [193]

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4 0
3 years ago
helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. she also needs 0.75 cup of sugar pe
tatuchka [14]

The <em><u>correct answer</u></em> is:

She can make 2 loaves of bread and 4 batches of muffins.

Explanation:

Let b represent bread and m represent muffins.

The equation for the amount of flour she needs is 3.5b+2.5m=17.

The equation for the amount of sugar she needs is 0.75b+0.75m=4.5.

To solve this, we will want to eliminate one of the variables. To do this, we will make the coefficients of one of the variables the same. If we multiply 2.5 by 0.3, we get 0.75; this is what we will do to the first equation:

\left \{ {{0.3(3.5b+2.5m=17)} \atop {0.75b+0.75m=4.5}} \right.  \\ \\\left \{ {{1.05b+0.75m=17} \atop {-(0.75b+0.75m=4.5)}} \right.  \\ \\0.3b=0.6 \\ \\\frac{0.3b}{0.3}=\frac{0.6}{0.3} \\ \\b=2

She can bake two loaves of bread.

Substituting 2 for b in the first equation, we have

3.5(2)+2.5m=17

7+2.5m=17

Subtract 7 from each side:

7+2.5m-7=17-7

2.5m=10

Divide both sides by 2.5:

2.5m/2.5 = 10/2.5

m = 4

She can bake 4 batches of muffins.

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4 years ago
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DaniilM [7]

Answer:

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Step-by-step explanation:

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3 years ago
How many tens are in 54
mestny [16]
Five tens are in 54, with 4 ones left over. hope this helped!!
8 0
3 years ago
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