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cricket20 [7]
4 years ago
12

The science club sponsors and ordering In church for the boys and girls in science called their forty-five sure science club num

bers if the Come in packages of pre ensure to in packages of 5 was the reasonable packages from In church that will need to be ordered
Mathematics
1 answer:
Oliga [24]4 years ago
6 0

Answer:

The Science club would required 15 packs of caps and 9 packs of shirts to fulfill the needs of each member.

Step-by-step explanation:

Given:

Number of caps in each pack = 3

Number of Shirts in each pack = 5

Total members of club = 45

Number of caps needed = 45

Number of shirts needed = 45

we have to find the least number of packs of caps and shirts that they need to buy in order to fulfill the needs of each member.

Solution:

Now we can say that;

number of packs of caps required can be calculated by Number of caps needed divided by Number of caps in each pack.

framing in equation form we get;

number of packs of caps required = \frac{45}{3} = 15\ packs

Also We can say that;

number of packs of Shirts required can be calculated by Number of Shirts needed divided by Number of Shirts in each pack.

framing in equation form we get;

number of packs of Shirts required = \frac{45}5} = 9\ packs

Hence The Science club would required 15 packs of caps and 9 packs of shirts to fulfill the needs of each member.

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3 years ago
In how many ways can five indistinguishable rooks be placed on an 8-by-8 chess- board so that no rook can attack another and nei
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The are 40320 ways in which the 5 indistinguishable rooks be can be placed on an 8-by-8 chess- board so that no rook can attack another and neither the first row nor the first column is empty

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The rook polynomial as a generalization of the rooks problem

Indeed, its result is that 8 non-attacking rooks can be arranged on an 8 × 8 chessboard in r8.

Hence, 8! = 40320 ways.

Therefore, there are 40320 ways in which the 5 indistinguishable rooks be can be placed on an 8-by-8 chess- board so that no rook can attack another and neither the first row nor the first column is empty.

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2 years ago
kathryn bought an aquarium to replace her fishbowl.The directions for the aquarium say that it should be filled with 9 cubic fee
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The water should fill the aquarium to 1.5 feet

Solution:

Given that the directions for the aquarium say that it should be filled with 9 cubic feet of water.

This means volume of aquarium is 9 cubic feet

Given that aquarium is 2 feet wide and 3 feet long

To find: Height of aquarium

Since a aquarium is in shape of cuboid, we can use the volume of cuboid formula

<em><u>The volume of cuboid is given as:</u></em>

volume of cuboid = l \times w \times h

Where "l" is the length

w is the width

"h" is the height

Substituting the values, we get,

9 = 3 \times 2 \times h\\\\9 = 6 \times h\\\\h = \frac{9}{6} = 1.5

Thus the height of aquarium is 1.5 feet

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