A small cube has a volume of 64 cubic feet. A larger cube has sides that are three times as long as the small cube. How long are the sides of each cube?

Answers

Answer 1

The side of a larger cube is equal to 12 ft meanwhile the side of a small cube is equal to 4 ft.

Volume of a Cube

A cube is a 3D- form of a square and its volume is found in the formula:

V=s³, where: s is the length of each side of a cube.

If the small cube has a volume ([tex]V_s[/tex]) of 64 ft³, you can apply the formula V=s³ for finding its the length of its sides. Thus

[tex]V_s[/tex]=64 ft³

[tex]s_v^3[/tex]=64

[tex]s_v=\sqrt[3]{64}\\ \\ s_v=4 ft[/tex]

A larger cube has sides ([tex]s_l[/tex]) that are three times as long as the small cube. Therefore, [tex]s_l=3s_v[/tex]. If [tex]s_v[/tex]=4 ft, the [tex]s_l[/tex] will be:

[tex]s_l=3s_v\\ \\ s_l=3*4\\ \\ s_l=12 ft[/tex]

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Related Questions


PLEASE HELP MEEEEEEE

Answers

Answer:

so as you see im in middle school but i can solvee it

Step-by-step explanation:

even im in 6th grade i do well with high school stuff ok now let me xplain you just read it carifully eamil your teacher ask for help and doneee your brain is working bam bam bam

Which of the folloyis equivalent to the expression below?
9x^2 + 30x + 25

Answers

Answer:

(3x-5) (3x-5)

Step-by-step explanation:

<33

I hate text limits!!

x = -4y + 36
x = 4y -28

This is using the substitution method. **PLEASE HELP! I’M SO LOST I DON’T UNDERSTAND THIS AT ALL.**

Answers

Answer:

Hope the picture will help you..

Use the function f(x) = x2 − 6x 3 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 3 6 12 18

Answers

A function assigns values. The difference between the maximum value of g(x) and the minimum value of f(x) is 18.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Since the maximum of the parabola function g(x) will lie at its vertex, therefore, the maximum will be at (3,12). Now, if we try to find the minimum of the function f(x). We need to plot the function on the graph as shown below.

As the minimum of the function f(x) will lie at the vertex of the parabola function, therefore the minimum of the function f(x) will lie at (3,-6).

If we try to find the difference between the maximum value of g(x) and the minimum value of f(x), then we will get,

[tex]\rm Difference=12-(-6)=18[/tex]

Thus, the difference between the maximum value of g(x) and the minimum value of f(x) is 18.

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guy above is right, 18 is the correct answer

The ratio of passenger cars to cargo cars in
the rail yard is 18:4. If there are 8 cargo
cars, how many cars are there altogether?

Answers

44 cars

hope it helps....!!!

A store is having a sale.Each item is on sale for half off the regular price,m

Which pair of equivalent expressions represents

Answers

Answer:

I'm just awarding a random person and you have won a thousand dollars

work out the value of 5y-6 when y=9

Answers

Hey there!

5y - 6

= 5(9) - 6

= 45 - 6

= 39


Therefore, your answer is: 39


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

A recipe that serves 6 calls for 3/4 cup of sour cream. How much sour cream is needed to serve 8?

Answers

Answer:

1 cup

Step-by-step explanation:

8/6 times 3/4 = 1 cup -crispin

To serve 8 calls, 1 cup of sour cream is required.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that,

6 serve = 3/4 cup of sour cream

1 serve = (3/4×6) cup of sour cream

8 serve = (3/4×6)×8 cup of sour cream

8 serve = 1 cup of sour cream

Hence, to serve 8 calls, 1 cup of sour cream is required.

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Find the domain of the graphed function.

Answers

Answer:

option d bro

Step-by-step explanation:

the answer is option d x>=0

Can someone help me with this problem?

Answers

Answer:

12(5+3)

Step-by-step explanation:

Again, common greatest number is 12. Just try out numers until its the highest common number.

60/12 = 5

36/12 = 3

so,

12(5+3)

3. Find the center of the circle that can be circumscribed about EFG with E(6,4), F(6,2), and G(10,2).

A. (6, 4)
B. (8,3)
C. (3,8)
D. (4,2)

Answers

Step-by-step explanation:

The general form of the equation of a circle is

(x-a)^2 + (y-b)^2 = r^2   where the center is (a,b)

Plugging in the given values:-

(6 - a)^2 + (4-b)^2 = r^2    and

(6-a)^2 + (2-b)^2  = r^2

Subtracting:-

(4-b)^2 - (2 - b)^2  = 0

16 - 8b + b^ - (4 -4b + b^2) = 0

12 - 4b  = 0

-4b =  -12

b = 3

Similarly if we take the 2 points (6,2) and G(10,2)  and make two equations we can find the value of a

(6-a)^2 + (2-b)^2  = r^2

(10.a)^2 + (2-b)^2 = r^2    subtract::-

(6-a)^2 -(10-a(^2 = 0

this will give a = 8

so the center of the circle is  the poit (8,3)

B is the correct answer

GIVING BRAINLIEST HELP NEEDED

Answers

The volume of the prism given its dimensions is equal to 160 cubic units.

What is the volume of the prism?

The given prism is made up of two prisms. The volume of the prism is the volume of the two shapes.

One of the prisms have the dimensions: 4 x 4 x 5.

Volume = 80

The other prism has the dimensions: 8 x 2 x 5.

Volume = 80

Volume of the prism = 80 x 2 = 160 cubic units.

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Hal has just graduated from four years of college. for the last two years, he took out a stafford loan to pay for his tuition. each loan had a duration of ten years and interest compounded monthly, and hal will pay each of them back by making monthly payments, starting as he graduates. hal’s loans are detailed in the table below. year loan amount ($) interest rate (%) subsidized? junior 4,048 5.9 n senior 5,295 7.6 y once all of his loans are paid off, what will hal’s total lifetime cost be? round all dollar values to the nearest cent. a. $9,023.28 b. $8,467.20 c. $11,498.40 d. $13,615.20

Answers

Hal's total lifetime cost will be $13,615.20.

Data and Calculations

Table detailing the Loans

1:     Year                                      Junior        Senior

2:     Loan Amount ($)                 4,048         5,295

3:     Interest Rate (%)                    5.9%           7.6%

4:     Subsidized?                        No               Yes

5:     Future value                    4,539.76      5,295

6:     Total repayment           $6,020.76    $7,575.51

Total lifetime cost = $ 13,596.27 ($6,020.76 + $7,575.51)

What is the future value of the loan?

The future value of the loan is determined based on no subsidy and interest rate compounded for two years for the Junior Loan.

Junior loan Amount after two years = $4,539.76

Loan Term = 10 years

Interest Rate = 5.9%

Compound Monthly (APR) Pay Back Every Month

Therefore, Payment Every Month   $50.17

Total of 120 Payments   $6,020.76

Total Interest   $1,481.00

Loan Amount = $5,295

Loan Term = 10 years

Interest Rate = 7.6%

Compound Monthly (APR)

Pay Back Every Month

Therefore, a Payment Every Month  of $63.13

Total of 120 Payments   $7,575.51

Total Interest  $2,280.51

Thus, Hal's total lifetime cost will be d. $13,615.20.

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Dexter has four different coins in his pocket he randomly selects a coin from his pocket replaces it and select and a coin what is the probability that both coins are dimes?

Answers

Answer: 1/4

Step-by-step explanation:

ez

A rectangle measures 4
3
4
inches by
1
3
inches. What is its area?

Answers

Answer:

1 7/12 in^2.

Step-by-step explanation:

Area = length*width

4 3/4 * 1/3

= 19/4 * 1/3

= 19/12

=   1 7/12 in^2.

A continuous random variable is a random variable: A. that is derived from a random population B. whose values are countable C. that is determined by random probability D. that can assume any value in one or more intervals

Answers

i think B i’m sorry if i’m wrong

PLS HELP
AND EXPLAIN
NO LINKS

Answers

Answer:

5/8 (Decimal 0.625)

Step-by-step explanation:

Equation with variables filled is: 1/2 + (3/4 - 5/8)

3/4 - 5/8 is 1/8

Equation is now 1/2 + 1/8

1/2 is also 4/8

4/8 + 1/8 = 5/8

The answer is 5/8.

Brainliest please?  

which set of data is influenced by an extreme x and y values compared to other data points

Answers

The set of data is influenced by an extreme x and y values compared to other data points is an outlier.

What is an outlier?

It should be noted that an outlier simply means data points that diverge in big way from the overall pattern.

Outlier can have extreme x or y value when compared to other data points. Also, it can be distant from the rest of the data without the extreme xor y values.

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Answer:a on usa test prep.like it

Step-by-step explanation:

The expression 4w + 7 + 3p + 8x contains how many terms?

Answers

Answer:

4 terms

Step-by-step explanation:

Terms being 4w, 7, 3p, 8x.

Lucy and her friends painted a giant picture.
They used 4 litres of paint.
All the paint came in 500 ml bottles.
The bottles cost £2.67 each.
Paint
500 ml
£2.67
What was the total cost of the 4 litres of paint they used?

Answers

Answer:

£21.36

Step-by-step explanation:

in one litre of any substance there is 1000ml and 500mlx2= 1litre

so it then requires 8 bottles

2.67 x 8 = 21.36

so there is the answer I hope it helped!

Ms.carter pool supplies what’s the volume 5.5ft , 3ft , 2.25

Answers

if im understanding the question right, the answer is 37.125 feet cubed

Julie wants to randomly choose two out of three friends, Margarite, Anita, and Sasha, to go with her to a

concert. In which method does one of Julie's friends have more than a fair chance of being chosen?

Answers

Slip system can be used to give more than fair chances of selection where the number of slips for one is more than the other.

There are multiple ways of selecting random sample like tossing a coin, flipping a die, lottery system.

Describing a method which can be used to provide more than a fair chance of selection is as follows:

Julie has 3 friends, so make the total number of slips say n

where n is not a multiple of 3.  

If n is not a multiple of 3 then her 3 friends will not get an equal chance of being selected.

Consider n=5

She has 3 friends, so 2 slips has repeated names, thus creating more chance of being selected than the one who has name only on one slip.

Thus, this method may result in more chance of selection of one over other.

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Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?

Answers

Answer:

x² + y² = 34

Formula:

(x - h)² + (y - k)² = r²                    where (h, k) is the center

Here find the radius using distance formula:                → origin : (0, 0)

√(x2-x1)²+(y2-y1)²√(3-0)²+(5-0)²√9+25√34

Thus the equation of circle:

(x - 0)² + (y - 0)² = (√34)²(x - 0)² + (y - 0)² = 34x² + y² = 34

Answer:

H.  [tex]x^2+y^2=34[/tex]

Step-by-step explanation:

Equation of a circle (in standard form)

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center and r is the radius of the circle)

Given center = (0, 0):

[tex]\implies (x-0)^2+(y-0)^2=r^2[/tex]

[tex]\implies x^2+y^2=r^2[/tex]

As the circle passes through point (3, 5):

[tex]\implies 3^2+5^2=r^2[/tex]

[tex]\implies r^2=34[/tex]

Final equation

[tex]x^2+y^2=34[/tex]

Which of the following expressions is equal
to 4/5 x 7?

Answers

Answer:

15.75÷2.25

Step-by-step explanation:

I think it's that I'm not completely sure so yeah

Clayton filled five containers with water each container holds 2 gallons and 2 quarts how many quarts of water does Clayton have

Answers

Answer:

30 quarts

Step-by-step explanation:

4 quarts = a gallon

4 quarts +2 quarts  = 6 quarts

5 containers*6 quarts(each)

5*6=30

A video posted on the internet has gone viral, and the total number of views is increasing by 25% every hour. If the video currently has 155, 000views how many views will it have in 6 hours?

Answers

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &155000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ t=hours\dotfill &6\\ \end{cases} \\\\\\ A=155000(1 + 0.25)^{6}\implies A=155000(1.25)^6\implies A\approx 591278[/tex]

Options to question


257


254


256


255

Answers

Answer:

256

Step-by-step explanation:

You get the median by aligning all the numbers then start taking out the number from highest to lowest like this, 1, 2, 3, 4, 5, you take out the 1 and the 5 then the 2 and the 4. The median in the end would 3.

I need help pls for this

Answers

Solution :

According to the question,

Time taken by Jesse to run 1 mile = 7 minutes

Also,

Time taken by Jesse to run 1 mile = 2½ minutes + Michael's time [tex]\;[/tex]

Now, we can say that :

7 minutes = 2½ minutes + Michael's time

⇒ (7 - 2½) minutes = Michael's time

⇒ (7 - 5/2) minutes = Michael's time

⇒ (14 - 5)/2 minutes = Michael's time

⇒ 9/2 minutes = Michael's time

4½ minutes = Michael's time [Answer]

Step-by-step explanation:

Question:-In track practice, Jesse ran a mile in 7 minutes. His mile time was2.5 minutes faster than Michael's time. Write and solve an equation to calculate Michael's mile time.

Solution

Jessie time 7 minute

Michael’s time is 2.5 times slower

Divide 7 minutes by 2.5 to get answer

Jesse = 7

Michael = 2.5 X

7 = 2.5 X

7/2.5 X = 17.5 to check answer divide 17.5 by the 2.5, your answer is 7.

Or if it was 2.5 more

we subtract 2.5 from 7

=> 7 - 2.5

=> 4.5

=> 4 ½

----

Anyways... _________ is a quadrilateral with opposite sides, they are congruent, and all the angles equals 90 degrees.



a. Pentagon

b. Rectangle

C. Trapezoid


(the web lied to me, it said it was c!? but it wasnt)

Answers

THE answer is B. rectangle

what would (200,000,450,300,127)^0 pls help

Answers

Answer:

1

Step-by-step explanation:

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