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kow [346]
3 years ago
10

A committee of 15 people is holding elections today. The positions on the ballot are: chairman, vice?chairman, parliamentarian,

recording secretary, and treasurer. If each position is to be held by one person and no person can hold more than one position, in how many ways can those positions be filled?
Mathematics
1 answer:
zzz [600]3 years ago
3 0

Answer: There are 360,360 ways that those positions can be filled.

Step-by-step explanation:

Since we have given that

Number of position = 5

As follows :

Chairman, Vice chairman, parliamentarian, recording secretary, and treasurer.

Number of people is holding elections today = 15

Number of positions that can be filled is given by

15\times 14\times 13\times 12\times 11\\\\=360,360

Hence, there are 360,360 ways that those positions can be filled.

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When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t
zloy xaker [14]

Answer:

The amount of flour Mrs.Stewart needs for 5 cups of shortening =\frac{75}{4} =18\tfrac{3}{4} cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs  \frac{2}{3} cups of shortening for 2\tfrac{1}{2}=\frac{5}{2} cups of flour.

Now we assume that the shortening needed for x cups of flour is y cups.

Accordingly we can arrange the ratios.

So for one cup of shortening how many cups of flour is needed we have to use the unitary method:

\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}

Plugging the value of y=5 as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with 5.

Number of cups of flour needed when 5 cups of shortenings are used (x) =\frac{x}{y} =\frac{5/2}{2/3}.

So, (x)=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}

The amount of floor Mrs.Stewart needed for 5 cups of shortening = 18\tfrac{3}{4}\ cups of floor.

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3 years ago
Someone graph y = -3/2x - 3
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Answer:

Step-by-step explanation:

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2 years ago
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