MATHEMATICS MIDDLE SCHOOL

A water tank is in the shape of a rectangular prism. The tank measures 20 yards by 5 yards by 9 yards. If Ruthie filled half of the tank with water, how many yards full is the tank?A.900 cubic yd

B.225 cubic yds

C.450 cubic yds

D.500 cubic yds

Answers

Answer 1

Answer: C, 450 cubics yds because 20 x 5 x 9 equals 900. 900 divided by two (half) is 450

Answer 2

Answer:

Answer:

C. 450 yd^3

Step-by-step explanation:

V... volume of a prism

a = 20 yd

b = 5 yd

c = 9 yd

Vw... Volume of water

Vw = V/2

Vw = (abc)/2

Vw = 900yd^3/2

Vw = 450yd^3

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What is the solution to the equation? 4y – 12 = –4 A. y = 11 B. y = 2 C. y = –4 D. y = –13

Answers

Hi There!

What is the solution to the equation? 4y – 12 = –4 A. y = 11 B. y = 2 C. y = –4 D. y = –13

Answer:y=2

First simplify
4y+-12=-4
Reorder the terms:
-12+4y=-4
Move all terms containing "y" to the left, all other terms to the right.

Add 12 to each side of the equation:
-12 + 12 + 4y = -4 + 12

Combine like terms:
-12 + 12 = 0
0 + 4y = -4 + 12
4y = -4 + 12
Combine like terms:
-4 + 12 = 8
4y = 8
Divide each side by '4'.
y = 2

So your answer is B Y=2
hope this helped

F = 9 5 C + 32 is the formula used to convert degrees Celsius to degrees Fahrenheit. Convert 35°C to degrees Fahrenheit.

Answers

The 35°C in degrees Fahrenheit is F = 95 degrees Fahrenheit after using the formula.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

F = 9/5 C + 32 is the formula used to convert degrees Celsius to degrees Fahrenheit.

The formula is:

F = 9/5 C + 32

PLug C = 35 degrees C in the formula:

F = (9/5)35 + 32

F = 9x7 + 32

F = 63 + 32

F = 95 degrees Fahrenheit.

Thus, the 35°C in degrees Fahrenheit is F = 95 degrees Fahrenheit after using the formula.

Learn more about the unit conversion here:

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$35^(\circ)C=(9)/(5)\cdot35+32=9\cdot 7 + 32 = 63+32=95^(\circ)F.$

Green eyes.

How do I do this?? Help!

Answers

Hi there!

In order to use the elimination method, you have to create one variable that has the same coefficient. This is to be able to eliminate one variable and have a one variable equation (which you can then solve).

In your case, we'll have the "x" have the same coefficient by multiplying the top equation by 4 and the bottom equation by 2 :

4( -2x + 3y = -4) → -8x + 12y = -16

2( 4x - 2y = 16) → 8x - 4y = 32

Now that both of your equation have a variable with the same coefficient, you need to choose rather you need to add or subtract the equations in order to get rid of the variable (in this case we want to get rid of the "x").

In your case, you want to add both equation together which will give you :

8y = 16

Now that you only have one variable, all you need to do now is solve the equation for "y" :

8y = 16

Divide each side of the equation by 8

y = 2 → Your answer

There you go! I really hope this helped, if there's anything just let me know! :)

This is how I did it.

The volume of a rectangular prism is 336 cubic centimeters. The area of the base of the prism is 48 square centimeters. What is the height of the prism?

Answers

The volume of a rectangular prism is 336 cubic centimeters. The height of the prism is 21 centimeters.

How to find the volume and base area of a right rectangular pyramid?

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units,

then:

$v = (l * w * h)/(3) \: \rm unit^3$ is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

$b = l * w\: \rm unit^2$

The volume of a rectangular prism is 336 cubic centimeters.

$v = (l * w * h)/(3) \: \rm unit^3$

3 x 336 = lwh

lwh = 1008

The area of the base of the prism is 48 square centimeters.

48 x h = 1008

h = 21

Learn more about the right rectangular prism here:

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Answer:

Step-by-step explanation:

I have five questions I really need help with so please don't just scroll on by. I really need help so PLEASE HELP!!!!!!!!!1.Two trapeze artists are standing on top of their platforms holding their trapezes, as shown below. The two triangles formed are similar and angle A is congruent to angle B.

In the diagram, the measure of angle A = 68°, c = 35 feet, and d = 52.5 feet.

What is the measure of angle E?
A.68°
B.22°
C.85.5°
D.32°