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torisob [31]
4 years ago
15

Geometry: A rectangular fish tank measures 15 feet long and 6 feet wide and is 3 feet tall. How much water can it hold?

Mathematics
1 answer:
TiliK225 [7]4 years ago
3 0

Answer:

The amount of water the tank can hold is 270 ft^3

Step-by-step explanation:

To calculate the amount of water the fish tank can hold, we simply need to calculate the volume of the fish tank.

mathematically this is equal to L * B * H

where L,B and H represents the length, breadth and height of the fish tank respectively.

The volume is thus = 15 * 6 * 3 = 270 ft^3

Thus, the amount of water the tank can hold is 270 ft^3

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Ax = bx + 1. How is the value of x related to the difference of a and b?
Zielflug [23.3K]

Answer:

x = 1/(a-b)

Step-by-step explanation:

The given equation is ax = bx + 1

Collecting like terms:

ax - bx = 1

Factorizing x out of the equation:

x(a - b) = 1

Dividing both sides by (a - b):

\frac{x(a - b)}{(a - b)} = \frac{1}{a - b} \\x = \frac{1}{a - b}

Therefore, x is related to the difference of a and be by the equation

x = 1/(a-b) where a - b is the difference of a and b

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Answer:

B

Step-by-step explanation:

The screenshot given explains the formula of standard deviation, which measures the variation of numbers in a set.

It basically says we have to find the sum of all the numbers subtracted by the mean squared, and divide that by the number of data sets, and then square root.

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3 years ago
What is the quadratic in vertex form that has an a value of 8 and a vertex of (5, 6)?
faltersainse [42]

Answer:

y= 8(x-5)² + 6

Step-by-step explanation:

Parabolas have two equation forms, namely; the standard and vertex form.

In the vertex form, y = a(x - h)² + k, the variables h and k are the coordinates of the parabola's vertex.

In this case; a=8, h =5, and k=6

Therefore;

The vertex equation will be

y= 8(x-5)² + 6

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Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $3280, and 128 people at
ZanzabumX [31]

Answer:

16  singles, 56  couples

Step-by-step explanation:

There's two linear equations that we can make: one for money and one for people. Let the number of single tickets be  s  and the number of couple tickets be  c .

We know that the amount of money we make is  $  =  20 s + 35 c = 2280

We also how many people can come  P  = 1 s + 2 c = 128

We know that both  s  are the same and both  c  are the same. We have two unknowns and two equations, so we can do some algebra to solve for each.

Take the first minus twenty times the second: 20 s + 35 c  =2280

− 20 s − 40 c = − 2560

− 5 c = − 280 ⇒ c = 56

Plugging this back into the second equation, s + 2 c = s + 2 ⋅ 56 = s + 112 = 128 ⇒ s = 16

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3 years ago
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