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IgorLugansk [536]
3 years ago
10

An aquarium has a length of n^ 2 +2 inches, a height of n + 5 inches, and a width of 10 inches. What is the volume, in cubic inc

hes, of the aquarium, in terms of n ?
Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0

The formula of a volume of a rectangle prism:

V=lwh

l - length

w - width

h - height

We have

l=n^2+2;\ w = 10,\ h=n+5

Substitute:

V=(n^2+2)(10)(n+5)=(10n^2+20)(n+5)\\\\=(10n^2)(n)+(10n^2)(5)+(20)(n)+(20)(5)\\\\=10n^3+50n^2+20n+100

<h3>Answer: V = (10n³ + 50n² + 20n + 100) in³</h3>
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Cottage cheese is being sold in different size containers. The sizes and prices are given below: 4 - 5 ounce containers for $5.
Karolina [17]

Division is the process of finding the number of times a number is multiplied by itself. The 16-ounce container is the better buy.

<h3>What is Division?</h3>

The division is the process of finding the number of times a number is multiplied by itself.

The prices of the different size containers are given to us,

4-5 ounce containers for $5. 00

1-12 ounce container for $3. 24

1-16 ounce container for $4. 19

Now, find the cost of the cheese per ounce when we buy the minimum cheese and when we but the maximum amount of cheese.

1.   For the first Container, 4-5 ounce containers for $5.00

If we buy 4 ounces of cheese, then the cost of each ounce of cheese will be $1.25 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $1.

2.  For, the second container, 1-12 ounce container for $3.24

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $3.24 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $0.27.

3.  For, the third container, 1-16 ounce container for $4.19.

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $4.19 for each ounce, while if we buy the maximum amount of cheese therefore 16 ounces for $4.19 then the cost of each ounce of cheese will be $0.26.

Thus, if we buy the maximum amount of cheese from each of the boxes, the third box will be the cheapest.

Hence, The 16-ounce container is the better buy.

Learn more about Division:

brainly.com/question/369266

3 0
2 years ago
What is the equation of a circle with center (-4 2) and diameter 6?
ASHA 777 [7]

Use the general form:-

(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre and r = radius

Here the radius = 1/2 * 6 = 3 so r^2 = 9 and we have the equation:-

(x + 4)^2 + (y - 2)^2 = 9 (answer)

7 0
2 years ago
What’s the length of three pipes, when combined they equal 72m, how do I find the answer
allochka39001 [22]

Answer:

Each pipe is 24m

Step-by-step explanation:

<u>Given:</u>

  • three pipes
  • combined equal 72m
  • let the variable x represent the length of 1 pipe

<u>Algebraic Expression</u>:

3 pipes times length equals 72m (the total length)

3x = 72, we want x to be alone so divided both sides by 3

3x / 3 = 72 / 3

x = 24

Learn more about Algebraic Expression here: brainly.com/question/4344214

7 0
2 years ago
Pablo Picasso’s Head of a Women, is an example of a(n) ______________.
lina2011 [118]

Answer:

Sculpture in the round.

Step-by-step explanation:

Option A, sculpture in the round, is the right answer.

This is Picasso’s initial Cubist sculpture illustrations the master made of his girlfriend Fernande Olivier in the year 1909. After the return of the couple from a tour to Spain Picasso created the bust in Paris. As in his old Cubist pictures, the frame of her sculpted head is faceted into miniature pieces. Meant to be viewed in the round, the production switches form when seen from various corners. Therefore, it is clear that Pablo Picasso’s "Head of a Women" was a sculpture in the round.

8 0
3 years ago
Read 2 more answers
Which triangles are congruent by SAS?
boyakko [2]

Answer:

Option A

Triangles ABC and TUV

Step-by-step explanation:

Given three triangles ABC , FGH and TUV

For triangles ABC and FGH, given that

DF =AB

DH = AC

and angle F = angle A

This cannot be taken as SAS congruence because the angle F is not included between the equal sides.  Two triangles can be congruent by SAS only if two sides and included angle are congruent.

For triangles ABC and TUV we have AB=TU, AC = TV and

included angles between these sides are equal.

So these two triangles are congruent

We write corresponding sides only in order Hence ABC = TUV

and Not VTU =ABC

So option A is true.

5 0
3 years ago
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