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-Dominant- [34]
4 years ago
9

In a standard deck of cards, how many different sets of 4-of-a-kind are there?

Mathematics
1 answer:
attashe74 [19]4 years ago
8 0
There are 13 different 4 of a kinds.
4 aces 4 twos 4 threes 4 fours 4 fives 4 sixes 4 sevens 4 eights 4 nines 4 tens
    1           2         3           4          5         6             7            8           9          10 
4 jacks 4 queens 4 kings
    11         12          13
The answer is 13 different sets.
I hope this helps :)

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2 years ago
The volume of a cone is 763.02. the radius and height of the cone are equal. What is the radius of the cone?
LUCKY_DIMON [66]

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

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r= 8.99cm

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3 0
3 years ago
Joe works as a busboy making $7 per hour and as a theater usher making $9 per hour. Let b be the number of hours he works as a b
Vilka [71]

Answer:

The inequality describing the situation is:

7b+9u>1500

Step-by-step explanation:

Joe works as a busboy at the rate of = $7 per hour

Let the number of hours he works as a bus boy this month be = b hours

∴ Amount Joe would make this month working as a busboy =\$7\times b=\$7b

Joe works as a theater usher at the rate of = $9 per hour

Let the number of hours he works as a theater usher this month be = u hours

∴ Amount Joe would make this month working as a theater usher =\$9\times u=\$9u

Total amount Joe would make this month =\$(7b+9u)

His goal is earn more than $1500 this month.

∴ The situation can be represented in the following inequality:

7b+9u>1500

6 0
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Answer:

296.89 m

Step-by-step explanation:

assuming that both the buildings are on level ground (i.e their bases are at the same elevation), see attached.

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Murrr4er [49]

Answer:22mpg

Step-by-step explanation:

330miles/15gallons per mile = 22 mpg

3 0
3 years ago
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