7. Three cubes of edges x cm , 6 cm, and 8 cm are melted and recast into a bigger cube of
edge 12 cm , find the value of x?

Answers

Answer 1

Answer:

10 cm³

Step-by-step explanation:

Volume of a cube = (Side)³

Volume of bigger cube = (12)³

                                           (12)³ = 1728 cm³

Volume of three cubes = (x)³ + (6)³ + (8)³ = 1728

(x)³ = 1728 - (6)³ - (8)³

(x)³ = 1000

x = ∛1000

x = 10 cm³


Related Questions

A Fahrenheit thermometer shows that the temperature is 15 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit.

Answers

Answer:

The integer that represents 15 degrees below 0 is -15°F.

Step-by-step explanation:

This is because the phrase "15 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -15.

The thermometer shows - 15°F  the temperature is 15 degrees below zero.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The Fahrenheit scale is a temperature scale based on one proposed in 1724 by the physicist Daniel Gabriel Fahrenheit.

Given, A Fahrenheit thermometer shows that the temperature is 15 degrees below zero.

So, If we assume the thermometer as a number line it is 15 units left to the origin.

∴ (0 - 15)°F.

= - 15°F.

learn more about numerical expressions here :

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ASAP What statements are true regarding the given statement and diagram?

Answers

All of them are correct except the third and last statements

Use graphing technology to find the range of the function f(x)=2^x
.

Answers

Look at the graph, which y values can the graph hit?

Anything above zero would be the right answer, since there is an asymptote at [tex]y=0[/tex].

So the range would be [tex]y>0[/tex]

Hope this helps.

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Idkkkkkkk skskiwneuene e e jejejejeje jejejejeje

Please help!! Thanksss

Answers

Answer:

b

Step-by-step explanation:

complimentary which means both angles are the same and on the opposite sides of each other

im not sure if the explanation is correct but im pretty sure the answer is

A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion for a client who weighs 110 lb. Available is dopamine
400 mg in 250 mL of D5W. The nurse should set the IV pump to deliver how many ml/hr administer? (Round the answer to the nearest
tenth.)​

Answers

Answer:

3.7ml/hr

Step-by-step explanation:

From the question

A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion

Step 1

The patient weighs 110lb(pounds

Convert the patients weight to kilogram

1 lb = 0.454kg

110lb =

Cross Multiply

110lb × 0.454kg

= 49.94kg

The patient weight = 49.94kg

Step 2

The dosage to to be administered by the nurse = 2 mcg/kg/min

If 1 kg = to be administered 2mcg/min

49.94 kg =

(49.94kg × 2mcg/min)/1

= 99.88mcg/min

Therefore, for the patient's body weight, the patient's dosage = 99.88mcg/min

Step 3

Available dopamine is 400mg in 250ml

We have to convert this to mcg

Hence,

1 mg = 1000mcg

400mg =

Cross Multiply

= 400mg × 1000mcg

= 400000mcg

Hence, the available dopamine is administer in 250ml/400000mcg

Part 3

Since 60 minutes is 1 hour

The nurse should set the IV pump to deliver how many ml/hr

(99.88mcg/min × 250ml × 60mins)/ 400000mcg

= 3.7455ml/hr

Approximately to the nearest tenth = 3.7ml/hr

I need help to find the slope of the line

Answers

Undefined slope ,,,,
It’s an Undefined slope

1/2 - 1/5

I don’t know how to do these problems

Answers

Answer: 3/10

Step-by-step explanation: Since our denominators of 2 and 5have no

factors in common, our least common denominator is 2 · 5 or 10.

In order to get a denominator of 10 in each fraction,

we multiply top and bottom of the first fraction by 5

and top and bottom of the second fraction by 2.

That gives us 5/10 - 2/10 which is 3/10.

I agree with the answer above and very well explained ^

solve the inequality 9(x/3+1) > 6

Answers

x - 9 >  - 6 = x > 3

Step-by-step explanation:

On solving the inequality, we get the solution inequality as -

x > -1.

What is a Inequality? What is equation modelling? What is a mathematical equation and expression?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is the inequality -

9(x/3 + 1) > 6

The given inequality is -

9(x/3 + 1) > 6

(x/3 + 1) > (6/9)

(x/3 + 1) > 2/3

x/3 + 1 - 1 > 2/3 - 1

x/3 > (2 - 3)/3

x/3 > -1/3

x > -1

Therefore, on solving the inequality, we get the solution inequality as -

x > -1.

To solve more questions on equations, expressions and polynomials, visit the link below -

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what is 0.26 rounded to the nearest tenth.​

Answers

Answer:.3

Step-by-step explanation: if it is 5 or above it rounds up

The peak of Mount Kilimanjaro, the highest point

Answers

Answer:

Kilimanjaro: Facts About Africa's Highest Peak Kilimanjaro is the highest mountain in Africa at 19,341 feet (5,895 meters), but it isn't a mountain in a traditional sense. ... Uhuru Peak is the highest summit on Kibo's crater rim. Uhuru, Swahili for "Freedom," was named in 1961 when Tanganyika gained its independence

Step-by-step explanation:

What’s the LCD Of 5/8

Answers

40

There isnt a way the LCD can go lower, because 5 only counts by 5's and 5 and 8 meet at 40.

Answer:

least common denominator of 5 and and 8 is  40

Eli has 7 games on his phone. His sister has 6 more than him. Which ratio compares the number of games on Eli’s phone to the number of games on his sister’s phone?
a. 6:13
b. 7:13
c. 6:7
d. 7:6

Answers

Answer:

B: 7:13

Step-by-step explanation:

Answer:

7:13

i get it correct on the work sheet

21+6x; x= -2 evaluate

Answers

Steps to solve

21 + 6x when x = -2

~Substitute

21 + 6(-2)

~Simplify

21 - 12

~Subtract

9

Best of Luck!

Is the square root of 8 closer to 2 or 3?

Answers

It is more closer to 3.

                                              [tex]Explanation[/tex]

___________________________________________________________

[tex]1.[/tex] Find the square root of 8.

√[tex]8= 2.8[/tex]

[tex]2.[/tex] Figure out if 2.8 is closer to 2, or 3.

2.8 is closer to 3 than 2.

b) A white shirt costs $. 2.50, and a blue shirt costs $. 1.50
Calculate the percentage difference.

Answers

Answer :

Cost of white shirt = 2.50 $

Cost of blue shirt = 1.50 $

We have asked to find percentage difference[tex].[/tex]

_________________________________

[tex]:\implies\sf\:\dfrac{cost_{blue}-cost_{white}}{cost_{blue}+cost_{white}}\times 100[/tex]

[tex]:\implies\sf\:\dfrac{2.50-1.50}{2.50+1.50}\times 100[/tex]

[tex]:\implies\sf\:\dfrac{1}{4}\times 100[/tex]

[tex]:\implies\:\boxed{\bf{\gray{25\:\%}}}[/tex]

Which phrase matches the algebraic expression below?
2(x - 7) + 10

Answers

Answer:

Combining like terms

Step-by-step explanation:

Help i dont understand pls help :(

Answers

Answer:

B. -2

Step-by-step explanation:

All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.

A snowboarder traveled at a speed or 12 meters per second for 15 seconds. How far did the snowboarder travel ? A. 18 meters B. 27 meters C. 180 meters D.270 meters

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2021 EDGE

What are quadratic binomial

Answers

Answer:

A quadratic binomial is a second degree binomial, such as 3x2+2.

Add 7, .8,.6 Add 35.15,14.18,7.16 Add .8,5,.7

Answers

Answer:

(a) 8.4

(b) 56.49

(c) 6.5

Step-by-step explanation:

Question 1:

7 + 0.8 + 0.6

7.8 + 0.6

8.4

Question 2:

35.15 + 14.18 + 7.16

49.33 + 7.16

56.49

Question 3:

0.8 + 5 + 0.7

5.8 + 0.7

6.5

Answer:

8

Step-by-step explanation:

bc is write

An equilateral triangle measures 3 1/2 inches on one side.what is the perimeter of the triangle

Answers

Answer:

10.5 inches

Step-by-step explanation:

Equalilateral triangle means all the 3 sides are equal

So perimeter of equilateral triangle=3(side)

=>3(3.5)

=>10.5

1200-5(3x+30)=600 show the steps to solve this problem

Answers

Answer:

x=+30

Step-by-step explanation:

1200-5(3x+30)=600

We move all terms to the left:

1200-5(3x+30)-(600)=0

We add all the numbers together, and all the variables

-5(3x+30)+600=0

We multiply parentheses

-15x-150+600=0

We add all the numbers together, and all the variables

-15x+450=0

We move all terms containing x to the left, all other terms to the right

-15x=-450

x=-450/-15

x=+30

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 30}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1200 - 5(3x + 30) = 600}[/tex]

Distribute 5 through the parentheses

[tex] \dashrightarrow{ \sf{1200 - 15x - 150 = 600}}[/tex]

Subtract the numbers: 150 from 1200

[tex] \dashrightarrow{ \sf{ - 15x + 1050 = 600}}[/tex]

Move 1050 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - 15x = 600 - 1050}}[/tex]

Subtract 1050 from 600

[tex] \dashrightarrow{ \sf{ - 15x = 450}}[/tex]

Divide both sides of the equation by -15

[tex] \dashrightarrow{ \sf{ \frac{ - 15x}{ - 15} = \frac{ - 450}{ - 15} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 30}}[/tex]

Hope I helped!

Best regards! :D

Simplify the following expression.
5 (2x - 3) + 4(x + 1)

Answers

Answer:

Step-by-step explanation:

10x - 15 + 4x + 4

14x - 11

At a convention there are 7 math instructors, 5 computer science instructors, 3 statistics instructors and 4 science instructors. If an instructor is selected at random, find the probability of selecting a math or science instructor. (Write your answer as a decimal, rounded to the nearest hundredth.)

Answers

There are 11 math or science instructors and 19 instructors in total, so probability is 11/19

Answer:

11/19

Step-by-step explanation:

Which equation correctly solves for x in △LMN?

A
cos61°=13x

B
cos61°=x13

C
sin61°=x13

D
sin61°=13x

Answers

Answer:

the answer is B

Step-by-step explanation:

you have to divid 13 from 61 to get -8 and u have to times the 2 numbers and do - 8 x 2 = 16 and after that u take the 3 and it would have to turn into 50 and it would be cos bc you combining the numbers to make one whole number  and since it is negative you have to put that little circle thing i forgot the name I hope that help can u please mark my branily thing

use the graph of f(x) to graph y= f(x+1)-2

Answers

What graph i dont see a graph in this question


What is the value of the expression below?
(-8)^4/3
A. 32
B. 16
C. -16
D. 3

Answers

Answer:

-16

Step-by-step explanation:

The answer is B. 16. The steps are:
1. (-8)^4/3 = (-1)^4/3 * 8^4/3
2. = (-1)^4/3 * 8^4/3
3. (-1)^4/3 = 1
4. = 1 * 8^4/3
5. 8^4/3 = 16
6. = 1 * 16
7. = 16

f(x) = (2x + 1)(x - 2)(x + 3)

Answers

Answer:

f(3) = 42.

Y-intercept is (0, -6).

X-intercepts  are (-0.5, 0),  ( 2, 0) and (-3, 0).

Step-by-step explanation:

f(3) = (2(3) + 1)(3 - 2)(3 + 3)

= 7 * 1 * 6

= 42.

The y intercept occurs when x = 0:

y-intercept = (2(0) + 1)(0 - 2)(0 + 3)

= 1 *-2*3

= -6.

Calculate the x-intercepts:

(2x + 1)(x - 2)(x + 3) = 0  so

(2x + 1) = 0 or  (x - 2) = 0   or   (x + 3) = 0

So x = -0.5,  2 or  -3.

Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28

Answers

Answer:

x = 27

Step-by-step explanation:

Given the expression [tex]{2x^{\frac{5}{3} }-22 = 464[/tex], we are to find the value of x in the expression. This is as shown below;

[tex]{2x^{\frac{5}{3} }-22 = 464[/tex]

add 22 to both sides

[tex]{2x^{\frac{5}{3} }-22 = 464+22\\\\[/tex]

[tex]{2x^{5/3} =486[/tex]

divide both sides by 2

[tex]\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243[/tex]

raise both sides to the power of 3/5

[tex](x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27[/tex]

Hence the value of x is 27

Use the properties of exponents to simplify the expression: 2(x13)65⋅y23

Answers

Answer 38870xy

Explication: use the commutative property to reorder the terms .

2(13x)65y•23

Then Remove the parentheses

So 2•13=26 65•23=1,495

Then 26•1,495=38,870
Then you take the x and the y and your answer is 38,870xy sense x is before y
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