Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches. Enter the amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid  = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

Answer 2

The amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube is 1.92.

What is volume?

The capacity of a container of any shape is called the volume.

Natalee transferred water from a square pyramid to a cube. Then,

Given is the perimeter of the pyramid base = 25 in

So, the length of one side of the base b= 25 / 4 = 6.25 in

Volume of square pyramid  = b² × (h/ 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = volume of cube / volume of pyramid

Number of times = 125 in³ / 65.1 in³ = 1.92

Learn more about volume

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Related Questions

Reva is playing a bean-bag toss game. For each bag that misses the board, the player scores 8 points. Reva misses the board 4 times in one game. What is her total score for those 4 tosses?

Answers

Answer:

a. -32

Step-by-step explanation:

NEED HELP ASAP PLEASE!!!!!!!!!

Answers

Answer:

1) m=-7/5

2) m=-7/5

3) parallel

Step-by-step explanation:

the first part:

graph the points and then find the slope

m=-7/5

the second part:

slope= m in y=mx+b

m=-7/5

the last part:

they are parallel because they have the same slope

Answer:

slope of two points is m=-7/5

SLOPE OF THE EQUATION GIVEN -7/5

PARALELL

Step-by-step explanation:

im asking this question again because no one answered the first one p.s. i will give brainliest
maryann is printing pictures from her recept ri[e to europe an online print shop charges 0.15$ per 4x6 inch print along with a flat rate shipping charge of 3.00$ if maryann has 35$ to spend how many prints can she order (show work with y=mx+b equation)

Answers

Answer:

$35= $0.15x+$3.00

Step-by-step explanation:

y=$35

m=$0.15x (x represents the uncertain number of photos she will be printing)

b=$3.00

A triangle formed by the sides 3.8cm ,3.7 cm, and 5cm is​

Answers

It is a scalene triangle because none of the sides are the same!

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.

The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

How to find the type of triangle?

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,

For a triangle to be right angle triangle,

           [tex]c^2=a^2+b^2[/tex]

       By this law it is observed that,

For a triangle to be acute angle triangle,

         [tex]c^2<(a^2+b^2)[/tex]

For a triangle to be obtuse angle triangle,        

        [tex]c^2>(a^2+b^2)[/tex]

The sides of the given triangle are  3.8 cm ,3.7 cm, and 5 cm.

Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,

[tex]c^2=5^2\\c^2=25[/tex]

Other two sides,

[tex]a^2+b^2=3.8^2+3.7^2\\a^2+b^2=14.44+13.69\\a^2+b^2=28.13[/tex]

Therefore,

[tex]25<28.13\\[/tex]

Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

Learn more about the type of triangle here;

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Solve.
9x + 6y = -3
y = -8

Answers

Answer:

5

Step-by-step explanation:

9x+6y=-3

9x+6(-8)=-3

9x-48=-3

9x=45

x=5

Answer:

x=5, y= -8

Step-by-step explanation:

What is the value of this function evaluated at f(-3): f(x) = 2x2+ 5x - 9? F -6 G -42 H 42 J 12

Answers

Answer:

f(-3) = -6

Step-by-step explanation:

f(x) = 2x^2+ 5x - 9

We are to find f(-3)

f(-3) = 2(-3)^2+ 5(-3) - 9

f(-3) = 2(9)-15 - 9

f(-3) = 18 -15 -9

f(-3) = 18-24

f(-3) = -6

Brian bought 54 tangerines. He gave away 2/3 of them and ate 1/6 of the remainder. How many tangerines did he have left?

Answers

Answer:

6

Step-by-step explanation:

2/3 of 54 is 36. 1/6 of 36 is 6.

Can someone help me on this! plz help me and tell me how u got the answer.
and plz dont troll.....

Answers

Answer: The last choice, 2x + 3y = 10

Step-by-step explanation: This equation will have the same slope. The line will be parallel to the original side , just higher up on the grid.

James wants to buy some CDs that cost $14 each and a DVD that costs $23. He has $65. Write an equation (in the Show your work area) and solve to find how many CDs he can buy. Include "CD" in your answer.

Answers

Answer:

3

Step-by-step explanation:

65-23= 42

42/14= 3

Answer:

14x+23 =65 x=3CDs

Step-by-step explanation:

So for any question where you need to write your own equation, it is first necessary that you determine what each number in the problem means in order to determine where they should go. James has $65 so the equation needs to be set equal to 65. The problem says he wants to buy a DVD for $23 so that would be a constant $23 spent regardsless of how many CDs he buys. We are trying to use the equation to determine how many CDs James can buy so the number of CDs is the x value at $14 each which would be 14x in the equation. so the equation would be the 14x for the unknown number of CDs, plus 23 for the constant DVD that James would buy set equal to the $65 he can use to buy everything.

To solve the equation, you must now isolate for x. To start, cancel out the +23 on the left side by subtracting 23 from both sides. This will leave 14x=42. You must then cancel the 14 by dividing both sides by 14 leaving your answer of x=3CDs.

I hope this helps.

what is surface area of this wedge (pic atrached)​

Answers

Answer:

360 ft

Step-by-step explanation:

6 x 5 x 4 x 3 = 360

b. 360 ft

I need help please!!!!!!!

Answers

its an obtuse angle

obtuse, because it's not a acute because its larger not smaller, and it's not a right because its not at a 90 degree angle, and it's not straight because that angle isnt completely straight

Can anyone help me please??

Answers

I think it’s 75 degrees
answer is 110. It is the same angle measure as the one that is 110 degrees.

Can I get help solve to find X?

Answers

Answer:  x = 14

==========================================

Explanation:

The same tickmarks on each side of the triangle tells us that all three sides are the same length. This triangle is equilateral.

All equilateral triangles have each of their three angles at 60 degrees (they are considered equiangular). This is because 60+60+60 = 180.

Set 2x+32 equal to 60 and solve for x

2x+32 = 60

2x = 60-32

2x = 28

x = 28/2

x = 14

As a check,

2x+32 = 2*14+32 = 28+32 = 60

which helps confirm the answer.


Y-3 = -(x-2)
in slope intercept form. Please show work.

Answers

Answer:
Y=-x+5

Write in slope-intercept form,
y=mx+b

this is another prodigy question so please help

Answers

Answer:

918

Step-by-step explanation:

i know it

3 The ratio of boys to girls at the dance was 10 to 15. How many girls were at the dance if there were 60 boys at the dance? Answer​

Answers

Step-by-step explanation:

90 girls were at the dance

Answer:

60:90

Step-by-step explanation:

use cross multiplication :)))

all you need is in the photo
please answer fast​

Answers

The statement “five-ninths” implies that it is equivalent to 5/9 or five-ninths and only B mentions the compatible answer.

Have a good day/evening/night.

Terrence has $50 and earns $11 per hour. Which equation represents the amount of money, M, that Terrence has after working h hours? please HELP ITS FOR HOMEWORK

Answers

Answer:

50+11h=M

Step-by-step explanation:

Answer:

50 divided by 11 = M

Step-by-step explanation:

If terrence already has 50 and got 11 an hour you would wanna divide it in groups and how much he really earned

What is the slope passing through the points (6,5) and (5,3)

Answers

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 5)

Point (5, 3)

Step 2: Find slope m

Substitute [SF]:                    [tex]m=\frac{3-5}{5-6}[/tex]Subtract:                              [tex]m=\frac{-2}{-1}[/tex]Divide:                                 [tex]m=2[/tex]

I need help with this question. Thank you so much!

Answers

Pretty sure it’s going to be D.

Answer:

D. -5

Step-by-step explanation:

Cody's Cafe uses 1 7/10 bags of coffee every day. How many days will 6 4/5 bags of coffee last?

Answers

Answer:

64/5 bags=128/17 days

Step-by-step explanation:

soln:

given,

17/10 bags=1 day

64/5 bags= ?

we know,

1 bag=10/15 day

so,

64/5 bags=10/15*64/5

•°•64/5 bags=128/17 days

Lumpy leaves Miami at 12 noon traveling north at 55 mph. Stumpy leaves at 3 pm traveling north at 70 mph. In how many hours will Stumpy crash into Lumpy’s back?

Answers

Answer:

at 4

Step-by-step explanation:

9-b9−b9, minus, b when b=8b=8

Answers

The correct answer is 62

Which of the following is NOT a true statement about the sides of a right triangle? A. The hypotenuse is the longest side. B. The legs are the sides adjacent to the 90° angle. C. Side “a” is always longer than side “b”. D. The hypotenuse is opposite the 90° angle.

Answers

The correct answer is C. Side “a” is always longer than side “b”.

Suzie bought a sweater at the sale price of $25. The original cost of the sweater was $40. What percent represents the discount that Suzie received when buying the sweater? A.15%, B.37.5% C.60% D.62.5%

Answers

Answer:

B.37.5%

Step-by-step explanation:

Step one:

given

The sale price of $25

The original cost of the sweater was $40

Required:

The percent discount

Step two:

% discount= change in price/original price *100

%discount = 40-25/40 *100

% discount= 15/40*100

% discount = 0.375*100

% discount =37.5%

3x−6 = 9
please answer








i lost 1000 points and 10 brainliest because someone reported and got all my answers taken down. smh

Answers

the answer is 5 because you have to add 6+9=15 then divide 3x and 15 and that makes x=5

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3x - 6 = 9

Step 2: Solve for x

Add 6 to both sides:                    3x = 15Divide 3 on both sides:                x = 5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(5) - 6 = 9Multiply:                               15 - 6 = 9Subtract:                              9 = 9

Here we see that 9 does indeed equal 9.

∴ x = 5 is the solution to the equation.

84x + 12y = 9,612
1126x + 21y = 13,643
{126
I
X=
Y=

Answers

Answer:

Hello you are a b**ch

Step-by-step explanation:

I just want some points thanks.

4 across + 23 across =

Answers

Answer:

27 across

Step-by-step explanation:

4 + 23 = 27

PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!

Part A: Solve the following equation: 8 + 2(x - 3) = 3x - 3 (2 points)

Part B: Solve the following absolute value equation: |2x + 6| = 8 (4 points)

Part C: Solve the following inequality: -5(x + 1) > 30 (2 points)

Part D: f(x) = 4x - 3. Find f(5) (2 points)

Answers

Hey I just want you know that I was going on a question about the next week of the following day and I am not going on vacation yet I will have a good day at work and I)7 be 88

A travel agency is planning for a holiday for
a a group
of people. The agency receives quotations
from two coach companies. Maya Express and
Great Holidays. Maya Express charges $15 for
each person while Great Holidays charges a
fixed amount of $84 and an extra of $12 per
person. If the total amount charged by each
company is the same, find the number of
people going on the holiday.

Answers

Answer:

so it 15

Step-by-step explanation:

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