Julio bought a fish tank shaped like a rectangular prism. The inside of the tank measures 24 inches in length, 10 inches in width, and 12 inches in height. The tank is filled with water to a height of 8 inches. How many more cubic inches of water are needed to fill the tank to the top? Use paper to show your work.

Answers

Answer 1

Answer:

[tex]Volume = 960in^3[/tex]

Step-by-step explanation:

Given

Empty Tank

[tex]Length = 24in; Width=10in; Height = 12in[/tex]

When filled with water, the height is:

[tex]Height = 8in[/tex]

Required

Determine how many more cubic inches needed

First, we calculate the difference between the height of the tank and the height of the water.

[tex]H = 12in - 8in[/tex]

[tex]H = 4in[/tex]

The volume of water to full the tank is then calculated as:

[tex]Volume = Length * Width * H[/tex]

[tex]Volume = 24in * 10in * 4in[/tex]

[tex]Volume = 960in^3[/tex]


Related Questions

You roll two six-sided fair nukber cubes.Whatbis the probability that you will roll snake eyes(both ones)?

Answers

Answer:

1/36

Step-by-step explanation:

Each dice has a 1 in 6 chance to land on a 1, but for both dice to land on 1's it would be [tex](\frac{1}{6} )(\frac{1}{6})[/tex]=[tex]\frac{1}{36}[/tex]

the scale of a map is 1 cm :12 km find the actual distance for each map distance

1.) 1.5 cm
2.) 12 cm
3.)4.25
4.)8.3

Answers

Answer:

1) 18

2) 144

3) 51

4) 99.6

Step-by-step explanation:

1) Multiply 1.5 by 12, as 1.5 divided by 1 is 1

2) Multiply 12 by 12, as 12 divided by 1 is 1

3) Multiply 4.25 by 12, as 4.25 divided by 1 is 1

4) Multiply 8.3 by 12, as 8.3 divided by 1 is 1

That is the relationship between the pair of angles ZAXC and _BXC shown
in the diagram?
100"
80°
A
B
A. They are supplementary angles,
B. They are right angles,
C. They are vertical angles.
D. They are complementary angles,

Answers

The answer is a hope it helps

The correct relationship between the pair of angles m ∠AXC and m ∠BXC are,

A. They are supplementary angles,

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Measure of angle m ∠AXC and m ∠BXC are,

m ∠AXC = 100 deg.

m ∠BXC = 80 deg.

Hence, We get;

m ∠AXC + m ∠BXC

= 100 + 80

= 180 degree

Thus, The correct relationship between the pair of angles m ∠AXC and m ∠BXC are,

A. They are supplementary angles,

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Which expression is equivalent to: (5⁹ × 5⁻⁷)⁻² ?

Answers

Answer:

(6^4 x 2^-9)

Step-by-step explanation:

The quadratic formula of 3x^2+4x+5=0

Answers

yea yeaaaaaaaaaaaaaaaaaa

3x² + 4x + 5 = 0 → x² + 4/3x +5/3 =0 → (x + ⅔)² + 5/3 - 4/9 = 0 → (x + ⅔)² + 11/9 = 0

Which choice is equivalent to the product below for acceptable values of X?
sqrt(x+2)*sqrt(x-2)

Answers

Answer:

√x^2-4

Step-by-step explanation:

Given the expression

√(x+2) * √(x-2)

= √(x+2)(x-2)

Expand

= √x(x)-2x+2x-2(2)

= √x^2-4

Hence the product of the expression will give √x^2-4

For x to be acceptable x^2 - 4 = 0

x^2 = 4

x = ±√4

x = ±2

Acceptable value of x are values that are greater than or equal to ±2

Answer:

√x^2-4

its also in this imagine below

A cylinder has a radius of 3.2 meters its volume is 190 Cubic meters find its height to the nearest 10th of a meter

Answers

Answer:

volume = pi r^2 h

or, 190 = pi (3.2)^2 h

or, 190/10.24 = pi h

or, 18.56 = 22/7 h

or, 18.56×7/22 = h

thus , h = 5.9037

3.2 +9 < 39
show the following inequality.​

Answers

Answer:

12.2 < 39

Step-by-step explanation:

3.2 +9 < 39

Add 3.9 and 9

It will give you 12.2 < 39

Hope this helps:) Have a great day!

Ab and cd intersects at e, aec=5x+12 and deb=8x-3

Answers

Answer:

x = 5

Step-by-step explanation:

Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.

8x - 3 = 5x + 12

3x = 15

factorise p-q-x(q-p)​

Answers

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

The graph of the quadratic parent function f was transformed to create the graph of g(x)=f(x-3)-4 . Which graph best represents g?

Answers

Answer:

C

Step-by-step explanation:

gj

Write the standard equation of the circle.

Answers

Answer:

x^2 + y^2 = 4

Step-by-step explanation:

General for of a circle is x^2 + y^2 = r^2

The circle is centered at the origin and the radius is 2.

fill in blanks to write the function when x=3 h(x)=-4-7, when x=3:​

h(__)=__​

Answers

Answer:

h(x)= -4x-7, when x=3

Answer= h(3)= -19

Step-by-step explanation:

Substitute 3 for x in the function and simplify:

h(x) = -4x – 7

h(3) = -4(3) – 7

= -12 – 7

= -19

The value of the function h(x) = -4x - 7 at x = 3 will be -19.

What is function ?

The function is defined as a relation between a set of inputs having one output each.

We have,

h(x) = -4x - 7,

So,

When

x = 3

So,

Substituting x = 3 in the given function,

i.e.

h(x) = -4x - 7

We get,

h(3) = -4 * 3 - 7

h(3) = -12 - 7

So,

h(3) = -19

So, the given function at x = 3 is -19.

Hence, we can say that the value of the function h(x) = -4x - 7 at x = 3 will be -19.

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Identify whether the representation is a function or not a function.




Function

Not A Function

Answers

Not a function as the numbers on the right can’t be repeated.

Multiplying special cases of polynomials


1. (x + 5)(x − 5)

a) x2-2x−25
b) x2−25
c) x2+2x−25

2. (n − 1)(n + 1)

a) n2 − 2n -1
b) n2 − 1
c) n2 − 2n +1

3) (p − 1)2

a) p2 − 2p +1
b) p2 − 2p -1
c) p2 + 2p +1

4. (x − 4)2

a) x2 − 8x -16
b) x2 − 16
c) x2 − 8x +16

5. (n + 3)2

a) n2 + 6 n - 9
b) n2 - 6 n + 9
c) n2 + 6 n + 9

6.-(2 + v)2

a) 4 + 4v + v2
b) v2 + 4v +4
c) v2 + 4

Answers

Answer:

1) b) x2−25

2) b) n2 − 1

3) a) p2 − 2p +1

4) c) x2 − 8x +16

5) c) n2 + 6 n + 9

6) b) v2 + 4v +4

Step-by-step explanation:

1. (x + 5)(x − 5) = x^2 - 25

2. (n − 1)(n + 1) = n^2 - 1

3) (p − 1)^2 = p^2 - 2p + 1

4. (x − 4)^2 = x^2 -8x + 16

5. (n + 3)^2 = n^2 + 6n + 9

6. (2 + v)^2 = v^2 + 4v + 4

Calculate the values of x and y.

Answers

Step-by-step explanation:

the dimension for the output isn't correct.

when u multiply 2x2 matrix by 2x1 matrix, the output matrix must have dimensions of 2x1

Will give brainiest for correct answer, but i am really behind in work right now

Answers

Answer:

here the ans

hope it is helpful to u.. mrk it as brainliest if is helps u

Answer:

so you can mark the other guy brainliest, he deserves it :)

Step-by-step explanation:

Find the volume of each prism. Round to the nearest tenth if necessary

Answers

Answer:

Example 1:

V=L*B*H

v=4m*6m*8m

v=192 m

Answer:

Volume = 192

Step-by-step explanation:

Which value of x makes the equation 1.75(5x − 10) = 10.5 true?

A. -3.2
B. 0.5
C. -0.5
D. 3.2

Algebra

Answers

Answer:

Answer is D) 3.2

Have a nice day!

hii please help i’ll give brainliest!!

Answers

Answer:

direction

Step-by-step explanation:

What is the volume, in cubic feet, of this cylinder?
10 ft
20 ft

Answers

The answer would be 200 because multiplying 10×20 gives you 200

Help, I wanna pass this iready lesson or im going to get yelled at.

Answers

Answer:

1/10 is the correct answer

Step-by-step explanation:

3/5=6/10

7/10-6/10=1/10

Answer:

1/10 hour

Step-by-step explanation:

7/10  

convert 3/5 to 6/10 for same denominator

7/10 - 6/10 = 1/10

If y = 5x, then y is directly proportional to ______
Help me please my teacher rlly annoying

Answers

y = 5x, so 5 is the constant of proportionality

In the given linear equation, y is directly proportional to x.

What is a linear equation?

A linear equation is an equation that has the highest power of the variable of 1.

Given linear equation is:

y = 5x

Here, '5' is a constant term.

Therefore, y is directly proportional to x.

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What is the length of line AD?

Answers

1

Step-by-step explanation:

i am very beautiful yes i know it

Find the length of the third side of each triangle.
HELP PLEASE

Answers

Answer:

96 because it's the same length but just slanted

Decrease 20g by 12.5%

Answers

Step-by-step explanation:

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Answer:

17.5 g

Step-by-step explanation:

20 g is 100% then a decrease of 12.5% is

100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then

20g × 0.875 = 17.5 g

Help me with this!!!!

Answers

Answer:

u =  21

Step-by-step explanation:

WX = XY because (VW = VY)

WX = u + 42

XY = 3u

u + 42 = 3u

42 = 3u - u

42 = 2u

u = 42 / 2

u = 21

Answer:

u = 21

Step-by-step explanation:

Consider triangle XWV and triange XYV

XV = XV (common)

Angle XVW = Angle XVY (given)

VW = VY (given)

∴triangle XWV ≅ triange XYV (SAS)

∴ XW = XY (corr. sides, ≅ triangles)

u + 42 = 3u

u = 21

What is the area of the smallest scalene triangle whose side lengths are prime numbers?

Answers

Answer:

area = 10.28 units²

Step-by-step explanation:

Smallest prime numbers I can think of is 2, 3 & 5 but that will not make a triangle.

3, 5, & 7 will

area = 1/2(7)(2.9375) = 10.28 units²

sryyyyyyyyyyyyyyyyyyyyy

How many solutions does the system of equations 5x−4y=8 and 5x−4y=2 have?
A)no solutions
B)1 solution
C)2 solutions
D)an infinite number of solutions

Answers

Answer:

1 solution. y= 5/4x - 1/2

Could you please help me out.

Answers

Answer:

B

Step-by-step explanation:

dababy

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