The sides of two cubes differ by 2 cm and their volumes differ
by 152 cm^3 Find the length of the side of the smaller
culce.

Answers

Answer 1

The length of the side of the smaller cube is 3.48cm

Let the length of the smaller side be xThe length of the bigger side will be x + 2

Volume of the smaller cube  = x^3Volume of the larger cube  = (x+2)^3

If their volumes differ  by 152 cm^3, then;

x^3 - (x+2)^3 = 153

Expand

x^3 - (x^3 + 3x^2(2^2) + 3x(2^3) + 2^4) = 153

x^3-x^3-12x^2-24x + 16 = 153

-12x^2-24x + 16 = 153

12x^2 + 24x - 16 - 153 = 0

12x^2 + 24 -169 = 0

On factorizing, the value of x is 3.48. This shows that the length of the side of the smaller cube is 3.48cm

Learn more on volume of cubes here:  https://brainly.com/question/1972490


Related Questions

ITS DUE TMRW!! PLS HELP


What is the value of x in the solution to this system of equations?


5x − 5y = 120


y= −7x + 8


Enter your answer in the box.

Answers

Answer:

x  =  24  +  y

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

Answer:

Step-by-step explanation:

5x − 5y = 120

y= −7x + 8

Use the second equation in the first (eliminates y)

5x − 5(−7x + 8) = 120

5x (+35x -40) = 120

40x -40 = 120

40x = 160

x = 4

----

If x = 4:

y= −7x + 8

y= −7*(4) + 8

y= -28 + 8

y = -20

====

The solution is (4,-20)

Plz help!!!! Find the equation of the linear function represented by the table below in slope intercept form

Answers

Answer:

y=-5x+2

Step-by-step explanation:

rise/run

or

y2-y1/x2-x1

-8-(-3)/2-1

-8+3/2-1

-5/1=m=slope

Slope intercept formula:y=mx+b

use point (1,-3)

-3=-5(1)+b

-3=-5+b

+5 +5

2=b

Final Answer: y=-5x+2

(6) Arrange the decimals in increasing order..
(a) 0.8, 0.25, 0.21
(b) 0.85, 3/4' 0.857​

Answers

A) 0.21, 0.25, 0.8

B) 3/4, 0.85, 0.857

hope this is helpful!

504300 in standard form

Answers

504,300


explanation:



To make a certain shade of paint, Anya mixed 2/3
cups of white paint with 2 and 2/3
cups of blue paint.

How many cups of blue paint should she mix with 3/4
cups of white paint to make the same shade?

Answers

Answer:

She needs 3 cups of white paint

Step-by-step explanation:

She has 1:4 ratio with the white and blue paint.

1/4:1

3/4:3

I need help solving this

Answers

Answer:

what are you trying to solve

Step-by-step explanation:

I'm a coocoo butter cup girl!! hsvshjsvs

Can someone please help 25 points for this one

Answers

Answer:

im not sureee

Step-by-step explanation:

srry

please help me asap


ty :)

Answers

Answer:

y = -1/7x + 1

Step-by-step explanation:

Subtract 3x both sides

21y = 21 - 3x

Divide by 21 both sides

y = 1 - 1/7x

y = -1/7x + 1

What is the equation of the line that passes through the point (-1, -7) and has a
slope of 2?

Answers

Answer:

y = 2x - 5

Explanation:

Since the slope is given as 2, we can substitute this into the equation:

y = 2x+b

Now, we can manipulate the point (-1,-7) to be in the form of a y-intercept - (0, y).

Note that a slope of 2 = 2/1, which means the rise = 2(which is added to the y) and run = 1(which is added to the x).

Adding this to our point of (-1,-7), we get:

((-1+1),(-7+2)) = (0, -5)

Therefore -5 is our y-intercept.

Now, substituting -5 into our equation, we get:

y = 2x + -5

Answer:

y=2x-5

Step-by-step explanation:

The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.

To find b use the equation [tex]b=y_1-m*x_1[/tex]. So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.

So, plug in the values to get the final equation y=2x-5.

can someone tell me if i did this right lol

Answers

Answer:

Your calculation is correct, but I'd answer 33.0 in.

Step-by-step explanation:

You are correct. Good job.

Answer:

I'm 96% sure its right, and those are pretty good odds ^^

Order these numbers from least to greatest

Answers

Answer:

5.125 < 5.14 < 5.15 < 5 2/9

Step-by-step explanation:

i changed 103/20 to a decimal to make it easier and just left 5 2/9 the same, hope this helps <3

At the movies, tickets cost $12 for adults and $7 for kids under 12. How many total

tickets would someone get if they purchased 2 adult tickets and 16 kids tickets? How

many total tickets would someone get if they purchased a adult tickets and k kids

tickets?

Total tickets, 2 adult tickets and 16 kids tickets:

Total tickets, a adult tickets and k kids tickets:

Answers

Answer:

18a+k

Step-by-step explanation:

The total number of tickets is the sum of the number of adult tickets and the number of kid tickets.

  Total tickets, 2 adult tickets and 16 kids tickets: 2 +16 = 18

  Total tickets, a adult tickets and k kids tickets: a +k

_____

Additional comment

The total price is a different matter:

  $12(2) +$7(16) = $136 . . . for 2 adult and 16 kids

  12a +7k . . . for 'a' adults and 'k' kids

Which situation results in a zero balance?
A Jenny uses her credit card to buy a $1,400 refrigerator and then makes a payment of
$1,400 to her credit card company.
B Pedro deposits $2,346 into a new checking account and then writes a check for $346.
C Eliza spends $150 on supplies for her business and then spends $150 in rent.
D Juanita earns $75 from her job and receives $75 from her sister.

Answers

Answer:

A

Step-by-step explanation:

0 - 1400 = -1400 + 1400 = 0

The answer to This question is A

Given the function f(x) = √x. If the function is shifted right 2 units, then shifted down 1.5 units and reflected about the x-axis, what is the equation of the new function?

Answers

Answer:

f(x) = -√(x-2) + 1.5.

Step-by-step explanation:

y = √x

2 units to right:

y = √(x-2)

1.5 down:

y = √(x-2) - 1.5

Reflect about x-axis

y = -(√(x-2) - 1.5)

y = -√(x-2) + 1.5.

Use the area model to multiply

1
4
8q+
1
2
r.
First, find the partial products. Write numbers as integers, decimals, or simplified proper or improper fractions.

Answers

Answer:

no porque algunproblemw

The table shows the thickness of four items. Place the items in order from the greatest thickness to the least thickness.

Answers

Can you show the items?

Help stuck on this question

Answers

place a point on -5, on the y axis. then draw a line straight through up one box and over one box placing points along the way to form a line

ANS WER AS SOON AS POSSIBLE
AND I WILL MARK U AS BRAINLIST

Answers

False

Take RHS = 6 x 105 + 6 x 102 = 6 x 100000 + 6 x 100 = 600000 + 600 = 600600 ≠ LHS Hence, RHS ≠ LHS

Hoped that helped!

Answer:

False

Step-by-step explanation:

use PEMDAS.

since there is no perenthesis you start with exponents.

10^5=100000

10^2=100

6*100,000+6*100

Next, you go to multipliation

600,000+600

Finally, you move on to addition

600,600

de un grupo de 22 estudiantes hay 13 que practican natación y 10 practican atletismo y 2 que no practican nada . ¿Cuántos practican solo atletismo?
AYUDA¡¡¡

Answers

Usando conjuntos de Venn, se encuentra que 7 estudiantes practican solo atletismo.

Los conjuntos son:

Conjunto A: Estudiantes que practican natación.Conjunto B: Estudiantes que practican atletismo.

Hay que:

13 que practican natación, o sea, [tex]A = 13[/tex].10 practican atletismo, o sea, [tex]B = 10[/tex].2 que no practican nada, o sea [tex]A \cup B = 22 - 2 = 20[/tex].

La cantidad que practica ambos es:

[tex]A \cap B = A + B - A \cup B[/tex]

[tex]A \cap B = 13 + 10 - 20[/tex]

[tex]A \cap B = 3[/tex]

Solo atletismo es:

[tex]B - A \cap B = 10 - 3 = 7[/tex]

7 estudiantes practican solo atletismo.

Más informaciones a cerca de conjuntos de Venn pueden ser obtenidas en https://brainly.com/question/24388608

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. Find the value of X

Answers

Answer:

x = 12.81

Step-by-step explanation:

If x is equal to 9 and y is equal to -3, then what is the value of…….? x - 9y - 3x + 6y -13?

Answers

We are given –

x =9 y = -3

Now put the values

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 9y - 3x + 6y -13[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 -(9 \times -3) -(3 \times 9) +(6 \times -3) -13 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 + 27 -27 -18 -13 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 +\pink{\cancel{27}}-\pink{\cancel{27}} -31[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf-22[/tex]

Henceforth, value of x - 9y - 3x + 6y -13 is -22.

________________________________________

Answer:

Value of x - 9y - 3x + 6y -13 is -22 .

Step-by-step explanation:

In the question we have given an expression and values of x and y that is 9 and -3 respectively and ,

We have asked to find the value of x - 9y - 3x + 6y -13 by substituting values of x and y .

[tex] \longmapsto \:x - 9y - 3x + 6y -13[/tex]

So , Substituting the values of x and y ,

[tex] \longmapsto \: 9 - 9 \bold{( - 3)} - 3\bold{(9)} + 6\bold{( - 3)} - 13[/tex]

Now , calculating the values ,

[tex] \longmapsto \: 9 + 27 - 27 - 18 - 13[/tex]

[tex] \longmapsto \: 9 + \cancel{ \red{27}} - \cancel{ \red{27 }}- 18 - 13 [/tex]

[tex] \longmapsto \: 9 - 31[/tex]

[tex] \longmapsto \: \pink{\boxed{- 22}}[/tex]

Therefore , value of given expression that is x - 9y - 3x + 6y -13 is -22 .

#Keep Learning

Jenny wants to build a concrete patio that will be 8 meters by 11 meters

Answers

Answer:Cost = $352Step-by-step explanation:Area = 8 x 11=> Area = 88 m²=> Cost = 88 x 4=> Cost = $352Conclusion:

Therefore, the total cost of the patio is $352.

Hoped this helped!

[tex]BrainiacUser1357[/tex]

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY

Answers

Answer:

x=7

Step-by-step explanation:

by pythagoras, 25^2=24^2+x^2

solve for x

PlEASE HELP URGENT!!!!!!!!!

Answers

The answer is -3, i had a test with the same question

What is the volume of a sphere with a radius of 9 units?
O A. 97271 units3
O B. 2437 units3
O C. 4867 units
O D. 32477 units3

Answers

Yes it would be 3,053.63 units^3.

But in our case, from the choices above, it would be (A. 972 pie units^3)

hope this helps.

Step-by-step explanation:

The volume of a sphere with a radius of 9 units is,

⇒ Volume of sphere = 339.12 units³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of sphere = 9 units

Now, We know that;

Volume of sphere = 4/3 πr²

Radius = 9 units

Hence, We get;

⇒ Volume of sphere = 4/3 πr²

⇒ Volume of sphere = 4/3 × 3.14 × (9)²

⇒ Volume of sphere = 339.12 units³

Thus, The volume of a sphere with a radius of 9 units is,

⇒ Volume of sphere = 339.12 units³

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ7

BRAINLIEST
Please do one or more questions

Answers

Answer:

12. ⇒ 218 °

13. ⇒ 282 °

Step-by-step explanation:

Problem 12:

Given - MK = 10 m

JK = 52 °

Since ∠LNJ = 90 °

Then LKJ = 90 °

So, KL = 90 ° - 52 ° = 38 °

Now, MK = 180 °

= MKL = MK + KL

= 180 ° + 38 °

= 218 °

Problem 13:

VYX = 360° - (YW + 15°)

YW = 180° - 117° = 63°

VYX = 360° - (63° + 15°) = 360° - 78° = 282°

Answer:

Step-by-step explanation:

1/2 of a bowl of cereal is divided equally between 4 bowls. how much cereal is in each bowl

Answers

Answer:

1/16 of the cereal is in each bowl

Step-by-step explanation:

Answer:

1/8  

Step-by-step explanation:

1/2 / 4

= 1/2 * 1/4

= 1/8.

Matthew has a gift card for $50 to lulu beans he is charged $3.25 for each coffee that he buys write an equation to represent his total amount left a after c coffees are purchased how many coffees were purchased if he has $11 left on the card

Answers

Answer:

Amt(c) = $50 - ($3.25/coffee)c

c = 12

Step-by-step explanation:

An equation to represent his total amount left a after c coffees are purchased

would be  Amt(c) = $50 - ($3.25/coffee)c

and if he has $11 left, then $11 = $50 - ($3.25/coffee)c

or -$39 = -($3.25/coffee)c.

Dividing both sides by -$3.25, we get c = 12

given a1 = -1 and a4 = -8 what is a10

Answers

Answer:

The nth term of the sequence is given. Find the first 4 terms, a10, and a15 2 What is the first term? a1 = (Type an integer or a simplified fraction.) What is the second term? a2 = (Type an integer or a simplified fraction.) What is the third term? a,-| (Type an integer or a simplified fraction.) What is the fourth term? a4(Type an integer or a simplified fraction.) What is the tenth term

(2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence.
Prove that the common difference of the sequence is 12

Answers

Step-by-step explanation:

Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.

(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)

or, 6x - 21 = 12x - 54

or, 12x - 6x = - 21 + 54 = 33

or, 6x = 33

or, 2x = 11

∴ x = 11/2

∴2x + 23 = 2 × 11/2 + 23 = 34

8x + 2 = 8 × 11/2 + 2 = 46 and

20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58

34, 46 and 58 are three consecutive terms of an arithmetic sequence.

∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.

Hence, the common difference of the sequence is 12.

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