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Shkiper50 [21]
1 year ago
7

Oliver and Layla each built a rectangular prism with centimeter cubes. Both prisms have a volume of 24 cubic centimeters but the

y do not look the same. Give possible dimensions for each prism.
Mathematics
1 answer:
BaLLatris [955]1 year ago
5 0

Possible Dimensions of one prism are; 2cm, 3 cm and 4cm

Possible Dimensions of second prism are; 1 cm, 4 cm, 6 cm

<h3>How to find the dimensions of a rectangular Prism?</h3>

We are told that volume of both rectangular prisms is; V = 24 cm³

Now, formula for Volume of a rectangular prism is;

V = lwh

where;

l is length

w is width

h is height

Thus, to solve this, we have to look for multiples of 24 which are;

1, 2, 3, 4, 6, 8, 12, 24.

Now, we must pick 3 numbers from the above in which their products will be equal to 24.

Thus;

Possible Dimensions of one prism are; 2cm, 3 cm and 4cm

Possible Dimensions of second prism are; 1 cm, 4 cm, 6 cm

Read more about Rectangular Prism dimensions at; brainly.com/question/14963481

#SPJ1

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In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?
kupik [55]

Answer:

There are 5,586,853,480 different ways to select the jury.

Step-by-step explanation:

The order is not important.

For example, if we had sets of 2 elements

Tremaine and Tre'davious would be the same set as Tre'davious and Tremaine. So we use the combinations formula.

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)!}

In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?

Here we have n = 40, x = 12.

So

C_{40,12} = \frac{40!}{12!(28)!} = 5,586,853,480

There are 5,586,853,480 different ways to select the jury.

3 0
3 years ago
Two parts Someone please help!!!!!
aivan3 [116]

Answer:

Part one: The function rule for the area of the rectangle is A(x) = 3x² - 2x

Part two: The area of the rectangle is 8 feet² when its width is 2 feet

Step-by-step explanation:

Assume that the width of the rectangle is x

∵ The width of the rectangle = x feet

∵ The length of the rectangle is 2 ft less than three times its width

→ That means multiply the width by 3, then subtract 2 from the product

∴ The length of the rectangle = 3(x) - 2

∴ The length of the rectangle = (3x - 2) feet

∵ The area of the rectangle = length × width

∴ A(x) = (3x - 2) × x

→ Multiply each term in the bracket by x

∵ A(x) = x(3x) - x(2)

∴ A(x) = 3x² - 2x

∴ The function rule for the area of the rectangle is A(x) = 3x² - 2x

∵ The rectangle has a width of 2 ft

∵ The width = x

∴ x = 2

→ Substitute x by 2 in A(x)

∵ A(2) = 3(2)² - 2(2)

∴ A(2) = 3(4) - 4

∴ A(2) = 12 - 4

∴ A(2) = 8

∴ The area of the rectangle is 8 feet² when its width is 2 feet

5 0
3 years ago
Order from least to greatest: 15,21,15,15,18,19,14,20,95,18,21,14,15,20,16,14,22,21,15,19
EleoNora [17]
1,2,14,14,14,15,15,15,15,15,16,18,18,19,19,20,20,21,21,22,95
Hope that helps!!!
8 0
3 years ago
Pls help I don't wanna fail
Andrej [43]

Answer:

115.5

Step-by-step explanation:

385-30%=115.5

8 0
3 years ago
Can you please help with the question below?
spin [16.1K]

Answer: Option 3

Step-by-step explanation:

p=total price.

Lets say total price is $100

p=$100.

20% of p=0.2p

p-0.2p=price after 20% off

p-0.2p=

10(p-0.2p)/10=

(10p-2p)/10=

8p/10=0.8p

<u>p-0.2p and 0.8p ==> D and B ==> Option 3</u>

4 0
1 year ago
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