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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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Juan wants to find two numbers such that their sum is 33 and their difference is 13. The equations that will help him find the a
bija089 [108]
2x - 13 = 33 \\ 2x = 33 + 13 \\ 2x = 46 \\ \frac{2x}{2} = \frac{46}{2} \\ x = 23
33-23=10. 10+23=33. 23-10=13
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Expresión algebraica el cuadrado del cubo de la suma de dos números​
bearhunter [10]

Answer:

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frez [133]

7x - 44 = 4x + 4

Add both sides 44

7x - 44 + 44 = 4x + 4 + 44

7x = 4x + 48

Subtract both sides 4x

7x - 4x = 4x - 4x + 48

3x = 48

Divide both sides by 3

3x ÷ 3 = 48 ÷ 3

<h2>x = 16 </h2>

______________________________

Suppose that the angle between 39 and 4x + 4 is t degrees as you know they make a straight line together thus :

39 + t + 4x + 4 = 180

39 + t + 4(16) + 4 = 180

39 + t + 64 + 4 = 180

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t + 107 = 180

Subtract both sides 107

t + 107 - 107 = 180 - 107

<h2>t = 73 </h2>

_____________________________

8y - 43 = 4x + 4 + t

8y - 43 = 4(16) + 4 + 73

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8y - 43 = 68 + 73

8y - 43 = 141

Add both sides 43

8y - 43 + 43 = 141 + 43

8y = 184

Divide both sides by 8

8y ÷ 8 = 184 ÷ 8

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Answer:

v= 3/2

Step-by-step explanation:

multiply cross products which is 9=6v. Then divide by 6 on both sides. Simplify.

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