The edge length of a cube-shaped crate is the square of the edge length of a cube-shaped box. Write an expression for the number of boxes that can fit in the crate.

Answers

Answer 1

Answer:

[tex]s^3[/tex]

where s is the edge length of the cube-shaped box

Step-by-step explanation:

Let the edge length of the cube-shaped box=s

The edge length of a cube-shaped crate is the square of the edge length of a cube-shaped box.

Therefore, edge length of the cube-shaped crate[tex]=s^2[/tex]

To determine the number of boxes that can fit in the crate, we first find the volume of the crate and the box.

Volume of the cube-shaped crate of side length [tex]s^2=(s^2)^3=s^6 $ cubic units[/tex]Volume of the cube-shaped box of side length [tex]s=s^3 $ cubic units[/tex]

Therefore, the number of boxes that can fit in the crate

=Volume of Crate divided by Volume of Box

[tex]=\frac{s^6}{s^3}\\=s^{6-3}\\=s^3$ boxes[/tex]

Therefore, an expression for the number of boxes that can fit in the crate is [tex]s^3[/tex].


Related Questions

simplify the following equation
x^5 * x^-3 =x^n
A. 4
B. -2
C. 2
D. 8

Answers

Answer:

x=2

Step-by-step explanation:

x^5 * x^-3 =x^n

We know a^b * a^c = a^(b+c)

x^(5 -3) =x^n

x^2 = x^n

2=n

Answer:

C. 2

Step-by-step explanation:

When you are multiplying the same base number with exponents you add the exponents. 5-3=2. So, n=2. Hope this helps :)

What is the surface area of the prism in square inches

Answers

Answer:

276

Step-by-step explanation:

Hope this helps.

Factor the polynomial.

125x^3+27

Answers

Answer: (5x+3) (25x^2-15x+9)

(5x + 3) (25x^2-15x + 9)

Iris had invited 105 people to her party. She needs 7 large tables to have an equal number of people at each table. Which equation shows how many people will sit at each table

Answers

Answer:

105/7= 15 people will seat at each table.

Step-by-step explanation:

What type of function best models the data in this table? Justify your reasoning.

x 2 5 8 11 14 17
y 16 25 34 43 52 61

Answers

Answer:

The function that models the data in this table would be a linear function.

Step-by-step explanation:

161-52=9

7-14=3

9/3=3

52-43=9

14-11=3

9/3=3

Complete this statement: 20 a x 2 + 25 a x + 15 a = 5 a 20 a x 2 + 25 a x + 15 a = 5 a

Answers

Answer:

Step-by-step explanation:

(((22•5ax2) +  25ax) +  15a) -  5  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  20ax2 + 25ax + 15a - 5  =  

 5 • (4ax2 + 5ax + 3a - 1)  

Equation at the end of step  3  :

 5 • (4ax2 + 5ax + 3a - 1)  = 0  

Step  4  :

Equations which are never true :  

4.1      Solve :    5   =  0

Solve for m. –5 − 5m = –6m
m= _

Answers

Answer:

M = 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5−5m=−6m

−5+−5m=−6m

−5m−5=−6m

Step 2: Add 6m to both sides.

−5m−5+6m=−6m+6m

m−5=0

Step 3: Add 5 to both sides.

m−5+5=0+5

m=5

Order the numbers from least to greatest
-2 2.5 -3 -3.5 -2,1/2

Answers

Answer:

-3.5<-3<-2.1<-2<2<2.5

Finding a Linear Regression Model
Warm-Up
Find a linear function that models the data in the table
2
y
f(x) =
-4
-6
-1
-1
0
1
2
4
3
7

Answers

Answer:

f(x) = 1.8x + 1

Step-by-step explanation:

I graphed the table on the graph below and found the equation of the line.

If this answer is correct, please make me Brainliest!

Which is a solution to x + 5 = 8?

Answers

Answer:

 x = 3

Step-by-step explanation:

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

Then you will get the answer that is  x = 3

Hope this helps

Answer:
x=3
Reason:
x+5=8
-5 from both sides
8-5=3
so x=3

will give brainlist if its right!

Answers

Answer:

7/30

Step-by-step explanation:

or 7 out of thirty.

plz correct me if im wrong, ill fix it

Answer:

7/30

Step-by-step explanation:

First you need to add up all the frequency so you know the total number that they has spun which is 30. So you put the total frequency that number 4 has on. Which is  7/30

Someone pls help!!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

11.1

Step-by-step explanation:

sin48=x/15 (x is over 15)

then multiply each side by 15 and it cancels on the right.

you should be left with:

15sin48=x

type that in desmos and you should get:

11.1471723822

20 POINTS! The following graph shows the amount of money Jonah earns when he babysits for the family who lives next door. Based on the graph, which of the following statements are true? Select ALL that apply.

When Jonah babysits one hour, he earns $7.50.
The equation e = 4 h can be used to describe this situation.
Jonah earns $20 to babysit for 5 hours.
The number of hours Jonah works depends on how much he earns.

Answers

Answer:

The equation e = 4 h can be used to describe this situation.

Jonah earns $20 to babysit for 5 hours.

Step-by-step explanation:

When Jonah babysits one hour, he earns $7.50.

looking at the graph we see at 1 hour he earns 4 dollars false

The equation e = 4 h can be used to describe this situation.

The slope is 4   so y = 4x   e = 4h  would also work   true

Jonah earns $20 to babysit for 5 hours.

Using our equation from above

e = 4*5 = 20   true

The number of hours Jonah works depends on how much he earns.

This would be false

The dependent variable is on the y axis.  The amount he earns depends on how much he works

Answer:

the second one and the third one

Step-by-step explanation:

What is the value of x?
B
704
C
X
Enter your answer in the box.
30°
o
X=

Answers

So the right answer is 80 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]x = 80 \: \: degrees[/tex]

Step-by-step explanation:

[tex]70 + 30 + x = 180 \\ 100 + x = 180 \\ x = 180 - 100 \\ x = 80[/tex]

( Sum of the angles in a triangle is 180 degrees)

hope this helps

brainliest appreciated

good luck! have a nice day!

Simplify the following expression.
(13x+ 9) + (38x+33y)
A. 51x + 4y
B. 22x + 46y
C. 22x + 42y
D. 51x+ 42y​

Answers

Answer:

The answer would be D.

Step-by-step explanation:

All you have to do is combine like terms.

Pretend that the parenthesis aren't there. 13x + 9y + 38x + 33y.

When you combine like terms, you add or subtract the terms that have the same variable attached.

13x + 38x = 51x.

9y + 33y = 42y

51x + 42y.

I hope I helped.

Brainliest would be appreciated.

What that guy said the answer is D ;)

!! PLEASE HELP ME!!
To the nearest tenth, what percent of everyone surveyed preferred watching sports channels?

Answers

Answer:62

Step-by-step explanation: i had same question and its eight

Answer:

hes smoking som but 62 isnt it lol

Step-by-step explanation:

What single rigid transformation maps TriangleABC onto TriangleA'BC'?

dilation
reflection
rotation
translation

Answers

Answer:

The answer would be reflection.

Step-by-step explanation:

the answer is reflection because you would reflect it over the axis.

Answer:

Reflection would map ABC to A'B'C'

Step-by-step explanation:

Select all that apply to the graph

Answers

B. The horizontal asymptote is at y = -4.
D. There is an x-int at approximately (1.3, 0)
It’s bb ahahah day did

True or false.
The scale factor of a dilation is the ratio of a length of a side of the image to the corresponding side length of the pre-image.​

Answers

Answer:

true

Step-by-step explanation:

Answer:

true i think

BRAINLIEST!!
3. Describe the shape of the data distribution.

Answers

Answer: postitive skewed

this is correct

Yes it is the third one for This question

Find the area. Will mark brainliest.

Answers

Answer:

Step-by-step explanation:

base b = 11 cm

Height h = 6 cm

[tex]Area=\frac{1}{2}bh\\\\=\frac{1}{2}*11*6\\[/tex]

= 11 * 3

= 33 cm²

Answer:

33 cm squared

Step-by-step explanation:

A = 1/2bh

A = 1/2 (11) (6)

A = 1/2 (66)

A = 66/2

A = 33

What is the next term of the geometric sequence?
7, 21, 63

Answers

First find the common ratio of this geometric sequence.

We will use [tex]r = \frac{a2 }{a1 }[/tex].

The second term is 21 and the first term is 7.

So we have [tex]\frac{21}{7}[/tex] and this reduces to [tex]\frac{3}{1}[/tex] or 3.

So, we take the last term in our geometric sequence

and multiply it by the common ratio we just found.

So we have 63 · 3 which is 189.

So the next term in this geometric sequence is 189.

Answer: 189
Explanation:
The rule for this sequence is to multiply by 3.
7•3 = 21
21•3= 63
So the next term would be 189 because,
63•3=189

Identify the domain and range from the graphed exponential function.

Question 1 options:

Domain: All Real Numbers Range: y < -4


Domain: All Real Numbers Range: y > -4


Domain: (−∞,∞) Range: All Real Numbers


Domain: x > -4 Range: y > 2

Answers

Answer:idk just here for the points

Step-by-step explanation:

A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly

Answers

Answer:

The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.

Vanessa drew a line that was 6 inches long. She divided the line into 7 equal-length segments.
How long was each segment?

7/6 in

1/7in

13in


6/7in

Answers

Answer:

1/7

Step-by-step explanation:


Which of the following describe 9.49?

Answers

Answer:take 9x49

Step-by-step explanation:

You’ll get the answer

Suppose that a teacher plans to give four students a quiz. The minimum possible score on the quiz is 0, and the maximum possible score is 10. What is the set of the four students scores that would make the standard deviation as large as it could be? A. 4,5,6,7 B. 0,0,10,10 C. 0,2,4,6 D. 1,4,9,10

Answers

Answer: A. 4,5,6,7.
Explanation: Standard deviation is the distance away from the average.

NEED HELP it’s a mastery grade!!

Answers

Answer:

2.49

Step-by-step explanation:

Answer:

2.49

Step-by-step explanation:

first u do 13.96 divde by five then to check it do 2.49 x 5

What does the inequality x + 3 ≤ 2 say?

A number and three is at most two.
A number and three is less than two.
A number and three is at least two.
A number and three is no less than two.

Answers

Answer:

A number and three is at most two.

Step-by-step explanation:

keywords :)

[tex] > bigger \: than \\ < smaller \: than \\ \leqslant is \: at \: most \\ \geqslant is \: at \: least[/tex]

A number and three is at most two

Find the vertex of the parabola whose equation is y = x^2 - 4x + 6.
(-2, 18)
(2, 2)
(2,6)

Answers

Hey there !

The vertex of the parabola is B. ( 2, 2)

Hope this helps !
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