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3 years ago

Drag and drop the correct choice into each box.

Mathematics

1 answer:

Kruka [31]3 years ago

6 0

Answer:

18 quarts.

1.875 quarts.

100÷3

Step-by-step explanation:

Step 1: How much sparkling water would you need to mix with 9 quarts of grape juice?

sparkling

water grape juice

1.5 3/4

X 9

we know that 9÷0.75 = 12 and 9×12 = 108

Hence we would need 18 quarts of sparkling water.

Step 2 : how much grape juice would you need to mix with 3.75 quarts of sparkling water?

sparkling grape juice

water

1.5 3/4

15/4 1.875

1.875 can also be expressed as 1(7÷8) this ÷2 or (1÷2) we get the answer.

you would need 1(7÷8) quarts of juice.

Step 3 :How much of each ingredient would you need to make 100 quarts of punch

=200÷3 for sparkling water

=100÷3 for grape juice.

100×3 = 300.

Step-by-step explanation:

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Answer:

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3 years ago

catering service offers 8 appetizers, 11 main courses, and 7 desserts. A banquet committee is to select 7 appetizers, 8 main

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Answer: The required number of ways is 46200.

Step-by-step explanation: Given that a catering service offers 8 appetizers, 11 main courses, and 7 desserts.

A banquet committee is to select 7 appetizers, 8 main courses, and 4 desserts.

We are to find the number of ways in which this can be done.

We know that

From n different things, we can choose r things at a time in $^nC_r$ ways.

So,

the number of ways in which 7 appetizers can be chosen from 8 appetizers is

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the number of ways in which 8 main courses can be chosen from 11 main courses is

$n_2=^{11}C_8=\dfrac{11!}{8!(11-8)!}=\dfrac{11\times10\times9\times8!}{8!\times3\times2\times1}=165$

and the number of ways in which 4 desserts can be chosen from 7 desserts is

$n_3=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.$

Therefore, the number of ways in which the banquet committee is to select 7 appetizers, 8 main courses, and 4 desserts is given by

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Step-by-step explanation:

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Dafna1 [17]

Answer:

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