Simon wants to build a cube-shaped storage container that holds 125 cubic feet of water for some frogs he recently purchased.Using the formula, V=s3, where represents the volume of the container and represents its side length, find the length of one side of the container.

Answers

Answer 1

Answer:

Length of one side of the container = 5 feet

Step-by-step explanation:

Given:

V = s³

Where,

V = volume of the container

s = side length of the container

V = 125 cubic feet

Find s?

V = s³

125 = s³

Find the cube root of both sides

3√125 = 3√s³

5 = s

s = 5 feet

Length of one side of the container = 5 feet


Related Questions

At the city museum, child admission is $5.20 and adult admission is $9.50. On Friday,133 tickets were sold for a total sales of $928.10. How many adult tickets were sold that day?

Answers

Answer:

55 adult tickets were sold on Friday.

Step-by-step explanation:

A linear system will be used to model the system.

Let c be the number of child tickets and a be the number of adult tickets

Then according to given statements

[tex]a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2[/tex]

From equation 1

[tex]a = 133-c[/tex]

Putting this in equation 2

[tex]9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78[/tex]

Putting c = 78 in equation 1

[tex]a+78 = 133\\a = 133-78\\a = 55[/tex]

Hence,

55 adult tickets were sold on Friday.

Simplify 10cm:30cm
Simplify 2cm:1m

Answers

Step-by-step explanation:

Simplest form=10/30=1/3

=1cm:3cm

Simplest form=2cm:1m

1m=100cm

2:100

2/100=1/50

1cm:50cm

Answer:

Simplest form=10/30=1/3

=1cm:3cm

Step-by-step explanation:

i need help plz ill give brainliest ​

Answers

Answer:

The answer is D

Step-by-step explanation:

Hope this helps! Please mark brainliest

Can somebody plz correct me and answer number 35-36
WILL MARK BRAINLIEST

Answers

35 is greater than
36 is equal to

Answer:

35)The way to solve this is by making the decimal a fraction, 6tenths equals 6/10.

Now we find a common denominator,lets use 30.

multiply the 6/10 by 3 to get 18/30

multiply 2/3 by 10 to get 20/30

2/3 is greater than 0.6

Step-by-step explanation:

what is the proportion?

Answers

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

i searched it up on google cause i'm dumb

Read the problems and and write the word that indicates an equation or inequality and decide whether an equation or inequality is indicated Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift certificate amount? Word/phrase?_________ Equation/Inequality_______

Answers

Answer:

Word/phrase : Equation

Equation:4x + 2 = $30

He can afford to buy 7 books without spending more than his gift certificate amount

Step-by-step explanation:

Step 1

We find the equation

Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2.

Hence,

$4 × x + $2 = $30

Where x = number of books that he can buy

4x + 2 = $30

Step 2

We solve for x

4x + 2 = 30

4x = 30 - 2

4x = 28

x = 28/4

x = 7

Hence, Brett can buy 7 books

Equation: 4x + 2 = $30

Word/phrase : Equation

He can afford to buy 7 books without spending more than his gift certificate amount

verbal expression for the following numerical expression: ( 4 + 9 ) x 3

Answers

Answer:

I don't know if I'm doing this 100% correctly but I would put:

four plus nine's total multiplied by 3

Factor -4 out of -8d + 20.
The factored expression is

Answers

2d-5 divide all numbers by -4

I need help!!!!

Write an equation of the line that passes through the points.

(0, −2), (4, −2)

Answers

First you need to find the slope:  (y2 - y1)/(x2 -x1) = (-4 -(-4))/(0-2) = 0.  So the line is horizontal, which means the y coordinate is constant and equal to -4, so the equation of the line is y = -4.

What is the value of x in the equation –2.4x = 8.4? –20.16 –3.5 3.5 20.16

Answers

Answer:

-3.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

cordenadas cartesianas​

Answers

what is this for ? is this spanish or what can u specify

A recipe states that 5 servings of peanuts have 1,250 calories. How many servings is 375 calories of peanuts? *

Answers

1,250/5 = 250 calories per serving
375/250 = 1.5 servings

Answer:

500 calories

Step-by-step explanation:

divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories

(GRADE7MATH) Can somebody plz answer all the questions correctly and show ur answer..thanks!!
(Only if u done this before)
WILL MARK BRAINLIEST) :D

Answers

Answer:

7. 28

8. -40

9. 36

10. -18

11. -32

12. -49

13. -33

14. 30

Step-by-step explanation:

Multiply as normal. If the signs are different, the product is negative. If the signs are the same, the product is positive.

Answer:

7. 28

8. -40

9. 36

10. -18

11. -32

12. -49

13. -33

14. 30

Step-by-step explanation:

+ × + = +

+ × - = -

- × - = +

- × + = -

does anyone know this.
i will give brainliest

Answers

Answer:

4.1 x 10^8

Step-by-step explanation:

Answer:

The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.

I need help with this please. I already did this problem but I think I made a mistake can you please look it over?

Answers

Answer:

it is corect

Step-by-step explanation:

Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.

How many miles does the second cyclist bike in 45 minutes?

Answers

9514 1404 393

Answer:

  9 +3/4b

Step-by-step explanation:

The speed of the second cyclist is b more than 12 miles per hour, so is ...

  2nd cyclist speed = b + 12

The time of interest is 45 minutes = (45/60) hours = 3/4 hours.

The distance the second cyclist travels in 3/4 hour is ...

  distance = speed × time

  distance = (b +12)(3/4)

  distance = 3/4b +9 . . . miles

The function R(x) = -0.0065x² +0.23x + 8.47 models the American marriage rate R (the
number of marriages per 100 population) x years after 1960. Based on this function, in what
year was the marriage rate the highest? (Hint: The vertex of a parabola is the maximum or
minimum.)
please help

Answers

Given:

The American marriage rate R,  x years after 1960 is defined by the function

[tex]R(x)=-0.0065x^2 +0.23x + 8.47[/tex]

To find:

The year in which the marriage rate is the highest.

Solution:

We have,

[tex]R(x)=-0.0065x^2 +0.23x + 8.47[/tex]

It is a quadratic function with negative leading coefficient. So, it is a downward parabola and vertex of downward parabola is maximum.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then

[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

In the given function,

[tex]a=-0.0065,b=0.23,c=8.47[/tex]

Now, x-coordinate of vertex is

[tex]-\dfrac{b}{2a}=-\dfrac{0.23}{2(-0.0065)}[/tex]

[tex]-\dfrac{b}{2a}=-\dfrac{0.23}{-0.013}[/tex]

[tex]-\dfrac{b}{2a}\approx 17.69[/tex]

It means the marriage rate is highest after 17 years of 1960.

[tex]1960+17=1977[/tex]

Therefore, the marriage rate is highest in year 1977.

The yearly cost in dollars y for a memever at a video game arcade based on total game tokens purchased x is y=1/10x+60. A nonmember pays 0.20$ per game token but no yearly fee

Answers

The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =x + 60.

Answer:

1/5x

Step-by-step explanation:

Got it right on Edge

Given the expressions: 5x+2(x-4) and 7x-8 first prove that they are both equivalent and explain why your method proves this.

Answers

Use distributive property on first equation
5x + 2x - 8
Combine lick terms
7x -8
They are equal

I don't understand proportional relationship can u help? ​

Answers

Answer: I’ll explain it in simpler terms for you. A proportional relationship is one in which two quantities vary directly with each other. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. An example of a proportional relationship is simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Hope this helps! :D

A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.


Which describes the motion of the box based on the resulting free-body diagram?

A. It is moving up with a net force of 20 N.

B. It is moving to the right with a net force of 10 N.

C. It is in dynamic equilibrium with a net force of 0 N.

D. It is in static equilibrium with a net force of 0 N.

Answers

Answer:

It is in static equilibrium

Explanation:

edge 2021

The box is in static equilibrium, with a net force of 0 N.

Option D is the correct answer.

What is static equilibrium?

Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.

In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.

We have,

The box is at rest and is not moving.

This means that the net force acting on the box is zero.

From the free-body diagram,

We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.

Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.

So,

The box is in static equilibrium, with a net force of 0 N.

Thus,

The box is in static equilibrium, with a net force of 0 N.

Learn more about static equilibrium here:

https://brainly.com/question/30762026

#SPJ7

Shawna is saving money to buy a new laptop. She starts her savings with $64. Each week, she adds another $17 to her savings. Graph the relationship that models the amount of money Shawna is saving. If her laptop costs $589, after how many weeks will she be able to afford the laptop?

Answers

Answer:

4 weeks

Step-by-step explanation:

Graph △ABC with vertices A(–6, 1), B(–3, 3), and C(–1, 0) and its image after the glide reflection.

Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-axis

Help please it's for a test!!

Answers

Answer:

Translation: (x, y) ---> (x + 1, y)

Reflection: (x, y) ----> in the x-a

Simply.
[tex] \frac{ab - a}{a} = [/tex]
[tex] \frac{2x + y}{y} = [/tex]
I mainly forgot how to do it. Do I divide -ab to get it alone? How do I do it?​

Answers

Answer:

Required Answer:-First go to first equation

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]

Take common

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]

hey!!! So the photo is side ways sorry bout that but I reallyyy need some help

Answers

Answer:

Step-by-step explanation:

What type math is this?

what is the y-intercept of this table? i dont understand it please help thank you.

Answers

Answer:

-0.4

Step-by-step explanation:

you just take 2 of them to find it

What's the slope of this line

Answers

Answer:

slope= 1/2x-3

Step-by-step explanation:

Rise / run + the y intercept

PLEASEEEE HELPPP!!

Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure

Answers

Answer:distributive

Step-by-step explanation:

PLEASE HELP I WILL MARK AND 5 STARS SOLVE AND EXPLAIN THANKS

Answers

3 3/4 or 3.75 I think

Helpp pls I tired to solve it out but I can’t get it

Answers

I think it’s b and a I think
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