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3 years ago

These two boxes have the same volume

Mathematics

2 answers:

Ronch [10]3 years ago

7 0

Since volume is L*W*H and both are equal then you can have

2*3*6=3*4*x

You can reduce it down to

36=12x

Divide each side by 12 and you have

x=3
The length is 3 in

Sergio039 [100]3 years ago

4 0

Volume = l*w*h
Box A:
6*3*2=36 inches cubed

Box B :
36=l*4*3
36=12l
L= 36/12=3
Length of box B = 3 inches (B)

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Luisa is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 3 appetizers, and 3 dessert

Vladimir79 [104]

Answer:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Also

The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Beverages:

3 from a set of 15. So

$B = C_{15,3} = \frac{15!}{3!12!} = 455$

Appetizers:

3 from a set of 10. So

$A = C_{10,3} = \frac{10!}{3!7!} = 120$

Desserts:

3 from a set of 13. So

$D = C_{13,3} = \frac{13!}{3!10!} = 286$

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?

By the fundamental counting principle, as beverages, appetizers and desserts are independent:

$T = B*A*D = 455*120*286 = 15,615,600$

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

4 0

4 years ago

Salim has 5 boxes of paint jars. Each box has the same number of paint jars. His teacher gives him 6 more paint jars. Now he has

olchik [2.2K]

Answer:

7 jars per box

Step-by-step explanation:

He now has 41 jars. How many did he have before his teacher gave him 6?

Well, 41-6=35. He had 35 jars before his teacher gave him more.

It says there was an equal amount of jars in each box. There are 5 boxes. Divide the total amount of jars (35) by the amount of boxes to find out how many jars are in each box.

35 jars / 5 boxes = 7 jars / box

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3 years ago

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She should use None of the above

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denis-greek [22]

Answer: