The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic meter,find the dimensions of the box.​

Answers

Answer 1

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4


Related Questions

A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He used fertilizers for the first group of land. He did not use fertilizers for the second group of land. At the end of the season, he measured the yield of the crops in these 2 groups. Is the study observational or experimental

Answers

Answer:

Observational would mean that he (farmer) has no direct impact or change on the statistical study.Experiment would mean that he imposed a certain treatment up a group in this case it would be the land.Hence we can determine that the the study was an experimental one.

Jamie scored an 85% on a test that had 20 questions on it. How many question did she get right? How many questions did she get wrong? PLS ANSWER FASTTT!! :)

Answers

Answer:i think it is like 17

Step-by-step explanation:

-3/7 × - 1 2/3
what is the answer ​

Answers

Answer:

[tex]\boxed{\frac{5}{7} }[/tex]

Step-by-step explanation:

[tex]-\frac{3}{7} \times (- 1 \frac{2}{3} )[/tex]

[tex]= -\frac{3}{7} \times (- \frac{5}{3} )[/tex]

[tex]= \frac{5}{7}[/tex]

Answer:

5/7

Step-by-step explanation:

do you get the answer?

Demarcus' workout playlist consists of classic rock songs and rap songs.
His playlist contains a total of 47 songs,
Which of the following statements represent the number of classic rock
and rap songs on Demarcus' playlist? Select all that apply.
x+y = 47
24 and 24
43 and 4
x = y + 47
y=-x+ 47
13 and 34

Answers

It is (13 + 34), (43 + 4). Hope this helps!!! It couldn’t be the other ones because they don’t include all of the numerals.

The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to travel one full rotation around the sun? Show your work. Make sure to include units in your answer.​

Answers

Using proportions, it is found that it takes 525,960 minutes for the earth to travel one full rotation around the sun.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

One day has 24 hours of 60 minutes, hence the number of minutes in a single day is given by:

Md = 24 x 60 = 1440 minutes.

Hence, the number of minutes in 365.25 days is given by:

My = 1440 x 365.25 = 525,960 minutes

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

If three empanadas and two drinks cost $9, and four empanadas and one drink costs $9.50, how much does a drink cost?

Answers

Answer:

A drink cost 1.50

Reasoning:

3×2=6

6+1.50=7.50

7.50+1.50=9

4×2=8

8+1.50=9.50

PLEASE HELP!
Given that m∠NMP=(5y+11)∘ and m∠OMP=(8y−13)∘, identify m∠NMO.

Answers

Answer: 102

Step by Step Explanation:

5y+11=8y-13

-8      -8y

-3y+11=-13

     -11  -11

    3y = -24 = 8           y=8

    3y     3y

5(8)+11=51

Multiple 51 times 2 and you're answer will be the following.

please i really really need help BRAIBLIST ASAP

Answers

After 10 years Lori will have 27 dollars more than Darryl (I took the test)

Please Help!!! :( I don't understand

Answers

Answer:

Step-by-step explanation:

You would do

4×18.5 =74

2×6.75 =13.5

14×7/8 =12.25

Add all that up and it equals 99.75lbs/pounds

Find x =
Please help I’ll give brainiest answer

Answers

Answer:

The Answer is 6

In a Create of 30 eggs
only 60 % is good how many
are bad?

Answers

Answer:

In my point of view 40% are bad

2. If a certain disease is found in 1 out of 12,000 people, what is the probability that there will be at least one person with that disease in a town of 24,000 people

Answers

Answer:

0.865

Step-by-step explanation:

Given that:

Disease is found in 1 out of 12000 people ; probability that disease is found in atleast one out of 24000 people

Using the binomial probability formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p = 1/ 12000 = 0.0000833333

n = 24000

P(x ≥ 1) = p(x = 1) + p(x =2) + ... + p(x = 24000)

In other to save computation time, we can employ the use of an online binomial probability calculator or a Ti-89 calculator :

The result is thus : 0.86467588659

P(x ≥ 1) = 0.865

HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST

Answers

Answer:

[tex]n=\frac{5\ln \left(\frac{q}{r}\right)}{\ln \left(q\right)}-2[/tex]

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

I guess you want the value of n

-----------------------------------------------------------

Since n is the index of q, you can simply

ignore all p and r stuff and make it

[tex]q^{2}[/tex]×[tex]q^{n}[/tex] = [tex]q^{5}[/tex]

[tex]q^{2+n}[/tex] = [tex]q^{5}[/tex]

2 + n = 5

n = 3

The number of visits to public libraries increased from 1.3 billion in 1994 to 1.6 billion in 1999. Find the average rate of change in the number of public library visits from 1994 to 1999.

Answers

Answer: 60 million per year

Step-by-step explanation:

The average rate of change in the number of public library visits from 1994 to 1999 will be calculated thus:

Average rate of change = change in number of vists in billions / number of years passed

= (1.6 billion - 1.3 billion) / 1999 - 1994

= 0.3 billion/5

= 60,000,000

= 60 million per year

10. What is the area of a triangle with base 4cm and
height 8cm?
A. 6cm2 B. 9cm2 C. 14cm D. 16 cm

Answers

Step-by-step explanation:

Area of triangle = 0.5(4)(8) = 16cm² (D).

what is -5x + 3y= 12 in slope intercept form?

Answers

Answer:

y = (5/3)x + 4

Step-by-step explanation:

-5x + 3y = 12 (What you start with)

3y = 12 + 5x (Adding 5x to both sides)

y = (5/3)x + 4 (Dividing the equation by 3)

Wall-mart had a laptop for $500. Best Buy was selling the same laptop for 15% more. What is price of the laptop at Best Buy?

Answers

Answer:

575

Step-by-step explanation:

15% of 500 = 75

500 + 75 = 575

Answer:

$425

Step-by-step explanation:

500*0.15=75

500-75=524

what is parallel to y=3x+1
you can only use the numbers 3,-2,1,4,-1,0,2,5 and put it in y= x +

Answers

Answer:

y=3x+1

Step-by-step explanation:

A parallel line has the same slope as the other line.

y=mx+b, m is the slope

Thus in y=3x+1, m =3

y = 3x + b

plug in points (1, 4) to determine b

4 = 3(1) + b

4 = 3 + b

subtract 3 on both sides

4 - 3 = b

b = 1

y = 3x + 1

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Answers

Answer: so 5 out of 5 is like if it said 100 out of 100

soooo the answer is 100% ;)

Step-by-step explanation:

HELP QUICK! 20 POINTS PLEASE GET IT CORRECT

Answers


We can conclude that Collin will have £3691.41 in his account after 10 years.

Indicate the answer choice that best completes the statement or answers the question.
The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the
number of minutes used? Explain.
Number of Minutes 40 |80 120 160 1200
Cost (S)
14.00 8.00 12.00 16.00 120.00

Answers

Answer: hold on you didn’t give enough info for this to make sense

Step-by-step explanation:

Please answer I will give branliest

Answers

Answer:

Step-by-step explanation:

assuming that weekends are only sat and sunday

24 students

or

if were assuming that friday is included

30 students

hope this helps <3

Answer:

24 students prefer weekend days C:

Step-by-step explanation:

The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:

a. Fails in less than 10,000 hours.
b. Lasts more than 120,000 hours.
c. Fails between 60,000 and 100,000 hours of use.
d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

Answers

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

Using the exponential distribution, it is found that:

a) There is a 0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

b) There is a 0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

c) There is a 0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

d) The 90th percentile is of 230,259 hours.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this problem:

Mean of 100,000 hours, hence, they decay parameter is [tex]\mu = \frac{1}{100000}[/tex]

Item a:

[tex]P(X \leq 10000) = 1 - e^{-\frac{10000}{100000}} = 1 - e^{-0.1} = 0.0952[/tex]

0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

Item b:

[tex]P(X > 120000) = e^{-\frac{120000}{100000}} = e^{-1.2} = 0.3012[/tex]

0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

Item c:

[tex]P(X \leq 60000) = 1 - e^{-\frac{60000}{100000}} = 1 - e^{-0.6} = 0.4512[/tex]

[tex]P(X \leq 100000) = 1 - e^{-\frac{100000}{100000}} = 1 - e^{-0.6} = 0.6321[/tex]

[tex]P(60000 \leq X \leq 100000) = P(X \leq 100000) - P(X \leq 60000) = 0.6321 - 0.4512 = 0.1809[/tex]

0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

Item d:

This is x for which:

[tex]P(X > x) = 0.1[/tex]

Hence:

[tex]e^{-\mu x} = 0.1[/tex]

[tex]e^{-0.00001 x} = 0.1[/tex]

[tex]\ln{e^{-0.00001 x}} = \ln{0.1}[/tex]

[tex]-0.00001 x = \ln{0.1}[/tex]

[tex]x = -\frac{\ln{0.1}}{0.00001}[/tex]

[tex]x = 230259[/tex]

The 90th percentile is of 230,259 hours.

A similar problem is given at https://brainly.com/question/25645425

Which of the following statements are true? Select all that apply.
HELP PLEASE!

Answers

C is not correct I took the test

The zoo needs to hire b staff members for each exhibit. Write the expression for
the number of staff members they need to hire for 20 exhibits.

Answers

Answer:

feed them to the lions

Step-by-step explanation:

rawr

A line passes through (-2, 10) and (8.-9). Write an equation for the line in point-slope
form AND rewrite the equation in standard form using integers.

Answers

Merry Christmas and Happy Holidays!!! <3

Answer:

The Standard Form of the equation of a line is:   Ax+By=C

Converting that, once and forevermore, into slope-intercept form, and remembering the result,

      the slope m=(-A/B).

 

If the given slope is 8, the equation of the line is 8x-y=C and we a point to determine C.  Use (2,10)

      8(2)-10=C

         6 = C

 

The equation of the line, in Standard Form, is:    8x - y = 6

x^3*x^?=x^17 I don't know what the is.

Answers

Answer:

14

Step-by-step explanation:

x^3*x^?=x^17x^(3 + ?) = x^173 + ? = 17? = 14

Answer:

First write the given equation

[tex]{:}\xrightarrow{ }\tt x^3×x^?=x^17 [/tex]

Simplify

[tex]{:}\longrightarrow\tt x^{(3+?)}=x^17[/tex]

[tex]{:}\longrightarrow\tt 3+?=17 [/tex]

Interchange sides

[tex]{:}\longrightarrow\tt ?=17-3 [/tex]

[tex]{:}\longrightarrow\tt ?=14 [/tex]

Explore more:-Formulas of exponents:-

[tex]\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}[/tex]

Solve. Please show your work

Answers

Answer:

128

Step-by-step explanation:

8^2√2^2

64√2^2              rewrite √2^2 as 2

64*2

=128

What is the volume of a cylinder with a radius of 2 cm and a height of 8 cm?​

Answers

Answer:

V = 100.531 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder: V = πr²h

Step-by-step explanation:

Step 1: Define Variables

r = 2 cm

h = 8 cm

Step 2: Find Volume

Substitute [Volume]:                    V = π(2 cm)²(8 cm)Exponents:                                   V = π(4 cm²)(8 cm)Multiply:                                        V = π(32 cm³)Multiply:                                        V = 100.531 cm³

Which graph shows a line with a slope of 3?

Answers

Answer:

The first graph shows a slope of 3.

Step-by-step explanation:

If the slope is 3, it's actually 3/1 because of rise/run. So you find any point on the graph that's directly between two lines, like (-1,-5). Since the line is positive, you would go right one and up three. Then you see if that point is directly between two lines. The next point is (0, -2). If you did the same on the second graph, it wouldn't match up.

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