3.) A box in the shape of a rectangular prism has a volume of 180 cm". The length is x cm, the
width is (x + 9) cm, and the height is (x – 4) cm. Find the dimensions of the box.

Answers

Answer 1

Answer:

48

Step-by-step explanation:

i am a smart

Answer 2

The dimensions of the box are;

Length = 2.44 cm

Width =  11.44 cm

Height = 1.56 cm

How to find the volume of a right rectangular prism?

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

Given box in the shape of a rectangular prism has a volume of 180 cm".

The length is x cm, the width is (x + 9) cm, and the height is (x – 4) cm.

Volume = (x + 9) (x – 4) (x)

180 =  (x + 9) (x – 4) (x)

180 = (x²+ 9x) (x² – 4x)

x³ + 13x² + 36x - 180 = 0

x = 2.44

Thus, width is (x + 9) cm = 2.44  + 9 = 11.44 cm

The height is (x – 4) cm = 2.44 - 4 = 1.56 cm

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Related Questions

What is the slope of the line? y-3=5(x-2)y−3=5(x−2)y, minus, 3, equals, 5, left parenthesis, x, minus, 2, right parenthesis Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac15 5 1 ​ start fraction, 1, divided by, 5, end fraction (Choice B) B -\dfrac45− 5 4 ​ minus, start fraction, 4, divided by, 5, end fraction (Choice C) C 111 (Choice D) D 55

Answers

Answer: A

Step-by-step explanation:

Answer:5

Step-by-step explanation:I got it wrong and decided to give you guys the right answer.

You have a choice of receiving a wage of $26,000 per year, $2860 per month, $630 per week, or $14.30 per hour. Which pay choice would you take? Assume a 40-hour work week and 52
weeks of work per year
A $26,000 per year
B$2860 per month
C $630 per week
D14.30 per hour

Answers

Answer:

I think the answers is B

Step-by-step explanation:

But im so sorry if its not right...

Have a nice day

The wages
w
(in £) Gordon earns is the number of hours he works
n
multiplied by his hourly rate
r
(in £ per hour). Enter a formula for Gordon's wages and enter the wage he would earn if he worked 5 hours at a rate of £10.40 per hour

Answers

n×r=£w

That is the equation you would use. Just put 5 in place of the N, and £10.40 in place of the R

Given two intersecting CHORDS and their intercepted arcs, how do I determine the angles of intersection of the chords?

Answers

Answer:

Angles of Intersecting Chords Theorem

Step-by-step explanation:

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Answer: If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and it's vertical angle.

Step-by-step explanation: Example: In the circle, the two chords -PR and -QS intersect inside the circle. since vertical angles are congruent, m<1=m<3 and m<2=m<4

Use the following information for Questions 7 - 10. Last year two sections of probability and statistics were taught by an instructor. The first section had 20 students and the second had 30 students. Each student had to complete a project. The projects were randomly ordered before grading. Consider the first 15 graded projects. Question 7: Which type of probability distribution best describes the problem

Answers

Answer:

Hypergeometric distribution

Step-by-step explanation:

The hypergeometric distribution is the type of geometric distribution that best describes this problem.

The hypergeometric distribution is a distribution function where weake selections from 2 groups and by doing so no members of the groups are replaced. The 2 groups are the two sections of probability and statistics.

Two secretarial students, Agyemang and Ike
are used Typewriter dealers. They found that the
length of time before a major repair is required on
Typewriter sold is normally distributed with a mean
equal to 11 months and
Standard deration & 2
montes. If the dealers wand only s% of the
Cars to fail before the end of the guarantee
period, for how
many
minth should the Typewriters
be guaranteed
how me
,​

Answers

Step-by-step explanation:

22

A thermally insulated vessel contains

150 g of water at 0°C. Then the air from the

vessel is pumped out adiabatically. A

fraction of water turns into ice and the rest

evaporates at 0°C itself. The mass of

evaporated water will be closest to:

(Latent heat of vaporization of

water = 2.10 x 106 Jkg - and Latent heat of

Fusion of water = 3.36 x 105J kg-1)

We roll two fair 6-sided dice. If a fair dice is rolled, the probability of it landing on any number between [1-6] is equi- probable (i.e., 1 6 ). (a) Find the probability that doubles are rolled. (Rolling doubles mean both dices land in the same number, e.g., 3 and 3.) (b) Given that the roll results in a sum of 6 or less, nd the conditional probability that doubles are rolled. (c) Find the probability that the larger of the two die's outcomes is at least 4.

Answers

Answer:

a.) [tex]\frac{1}{6}[/tex]

b.) [tex]\frac{3}{15}[/tex]

c.) [tex]\frac{27}{36}[/tex]

Step-by-step explanation:

Given - We roll two fair 6-sided dice. If a fair dice is rolled, the probability

             of it landing on any number between [1-6] is equi- probable

             (i.e., [tex]\frac{1}{6}[/tex]).

To find - (a) Find the probability that doubles are rolled.

               (b) Given that the roll results in a sum of 6 or less, and  

                    the conditional probability that doubles are rolled.

               (c) Find the probability that the larger of the two die's outcomes

                    is at least 4.

Proof -

As given , two fair 6-sided dice is rolled.

The sample space is as follows :

S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

        (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

        (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

        (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

        (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

        (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)  }

Total number of outcomes = 36

a.)

Sample space that double are rolled = { (1, 1), ( 2, 2), ( 3, 3) , ( 4, 4), ( 5, 5), ( 6, 6) }

Total number of possible outcomes = 6

So, Probability = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex]

b.)

Sample space that roll shown sum of 6 or less = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}

Now,

Total outcomes = 15

Total possible outcome that doubles are rolled = 3 ( i.e (1,1), (2, 2), (3, 3) )

So, Probability = [tex]\frac{3}{15}[/tex]

c.)

Sample space that larger of the two die's outcomes is at least 4 = { (1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

Total possible outcomes = 27

So, Probability = [tex]\frac{27}{36}[/tex]

A, C, E
A, C, D
B, D, E
C, D, E

Answers

Answer: A C and E (1st choice)

Step-by-step explanation:

A giant panda lives in the Washington, DC zoo. What does the point shown tell you about the panda?

Answers

Answer:

he is 36 months old or 3 years old, and he ways 82 kilograms.

Step-by-step explanation:

quick mafs

The point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.

How to read the data from the graph?

In a graph, the line which is horizontal is known as the x-axis of the graph. The vertical line in the graph is called the y-axis of it. These axis helps to read the data from graph in following way-

The value of a point parallel to x axis in graph gives the value x-value. It is the value of parameter which is titled on x-axis.The value of a point parallel to y axis in graph gives the value y-value. It is the value of parameter which is titled on y-axis.

In the given graph, the x-axis is labeled with age in months and y-axis is labeled with weight of panda.

The point with coordinates (36,82) tells that the age of panda is 36 months and the weight of the panda is 82 kilograms.

Hence, the point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.

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In Mr. Richard's class, 5/8 of the students like
to bake. Of those students, one-half prefer to
bake cookies. What fraction of the students
prefer to bake cookies?

Answers

Do you have answer choices?

Which formula represents how to find r in a polar coordinate?

Answers

Answer:

Here's the answer:

r = √ ( x2 + y2 )

Answer:

To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):

1. r = √ ( x2 + y2 )

2. θ = tan-1 ( y / x )

I hope it's helpful!

What is the answer for
(7-2)÷5

Answers

Answer:

1

Step-by-step explanation:

7-2=5 5/5=1

Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2. Explain

Answers

Answer:

i d k

Step-by-step explanation:

Answer:

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reversed. 16 > −4 and 4 > −1.

The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).

Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5

Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?

Answers

Based on the circumstances of the 100 workers and their union membership, the probabilities are:

Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.

What is the probability of the a new job with a union member?

Number of people with jobs in new companies:

= 14 + 10

= 24

There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24

= 0.583

What is the probability that a union worker has been unemployed?

The number of people in a Union is:
= 39 + 14 + 6 + 2

= 61 people

Number of union people that have been unemployed is 2.

The probability here is therefore:

= 2 / 61

= 0.033.

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Examine the diagram. It is not drawn to scale.

What is the m_3?
m_3=

Answers

Answer:

I think 12 I don't know if it's right or not but I tried

Answer:

its 105 :)

Step-by-step explanation:

its 100% correct <3

A local yoga studio
charges a sign-up fee of
$55, plus $10 per class. A
second yoga studio
charges a sign-up fee of
$25 plus $12.50 per class.

A. Griffin
B. Gigi

Answers

Answer:

Let's call the first studio, yoga studio A.

Let's call the second studio, yoga studio B.

The equations:

Yoga Studio A: y=10x+55

Yoga Studio B: y=12.5x+25

So, for 12 classes:

Yoga Studio A: y=10(12)+55, y=175

Yoga Studio B: y=12.5(12)+25, y=175

These two numbers are equal, so Griffin is right.

For 10 classes:

Yoga Studio A: y=10(10)+55, y=155

Yoga Studio B: y=12.5(10)+25, y=150.

These two numbers are not equal, so Gigi is wrong.

Let me know if this helps!

Evaluate the expression 2(2x-3y)-5xy where x=-2 and y=-1

Answers

Answer:

-12

Step-by-step explanation:

2 (2x-3y)-5xy

4x-6y-5xy

4(-2)-6(-1)-5*-2*-1

-8+6-10

-12

Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).

Answers

Answer:

[tex]\displaystyle -11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Interval NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]

Step-by-step explanation:

Step 1: Define

f(x) = -x² - 7x - 8

(1, 3) → a = 1, b = 3

Step 2: Find Average Rate

Substitute in variables [Average Rate of Change]:                                       [tex]\displaystyle \displaystyle \frac{f(3) - f(1)}{3 - 1}[/tex][Change] Substitute in function:                                                                    [tex]\displaystyle \displaystyle \frac{[-(3)^2 - 7(3) - 8] - [-(1)^2 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Evaluate exponents:                                    [tex]\displaystyle \displaystyle \frac{[-9 - 7(3) - 8] - [-1 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Multiply:                                                        [tex]\displaystyle \displaystyle \frac{[-9 - 21 - 8] - [-1 - 7 - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Subtract:                                                       [tex]\displaystyle \displaystyle \frac{[-38] - [-16]}{2}[/tex][Change] [Fraction] [Distributive Property] Distribute negative:                  [tex]\displaystyle \displaystyle \frac{-38 + 16}{2}[/tex][Change] [Fraction] Add:                                                                                [tex]\displaystyle \displaystyle \frac{-22}{2}[/tex][Change] [Fraction] Divide:                                                                            [tex]\displaystyle -11[/tex]

Answer:

Step-by-step explanation:

-1x^2-7x8

-1x^2-7x+8

-1x+8-7x

+1x +1x

----- ------

X -7x

8 -7x

---- -----

+7 +7

---- -----

15 1x/x

15 1x

---- -----

1 X

X=15

Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.

What you do to one side you do to the other.

If WX = x + 5 and XY = 3x - 13, then what is the value of x?

Answers

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

Given

[tex]WX = x + 5[/tex]

[tex]XY = 3x - 13,[/tex]

Required

Find x

To do this, I will assume [tex]WX = XY[/tex].

So, we have:

[tex]x + 5 = 3x - 13[/tex]

Collect Like Terms

[tex]x - 3x = -5 - 13[/tex]

[tex]-2x = -18[/tex]

Divide by -2

[tex]x = 9[/tex]

Find the slope of the line passing through the pair of points or state that the slope is undefined.
(-2,6) and (5,5)

Answers

Answer:

[tex]\displaystyle m=\frac{-1}{7}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 6)

Point (5, 5)

Step 2: Identify

x₁ = -2, y₁ = 6

x₂ = 5, y₂ = 5

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                                 [tex]\displaystyle m=\frac{5-6}{5+2}[/tex][Slope] [Fraction] Subtract/Add:                                                                      [tex]\displaystyle m=\frac{-1}{7}[/tex]

Put the equation into this form

Answers

Answer:

y=x(x-2)-8

Step-by-step explanation:

hope this helps :)

ASIGNATURA: Matemáticos
Tema: Una respuesta inesperada
Instrucciones: Lena los espacios escribiendo el número que resulta de multiplicar el número
de la columna de la izquierda por cada uno de los números de la fila superior.
3
5
4
6
2
10
8
4
3
27
21
18
5
15
45
40
7
63
49
14
16
8
72
24
18
72
36
54
45
9
8
12
28
36
a) Los múltiplos de 3 son:
b) Todos los números pares son múltiplos de:
c) Los múltiplos de 5 son:
dos en negrita​

Answers

Answer:

a) Los múltiplos de 3 son: 3,6,9,12,15,18,21,24,27

b) Todos los numeros pares son multiplos de: 2

c) Los múltiplos de 5 son: 5,10,15

work out the surface area of this cylinder

Answers

Answer:

A=2πrh+2πr2=2·π·2·4+2·π·22≈75.39822

Step-by-step explanation:

I really need help on this please

Answers

Answer:

m<S = 92°

Step-by-step explanation:

Opposite angels of a cyclic quadrilateral are supplementary. That is, they sum up to 180°.

<S and <Q are opposite angles of the cyclic quadrilateral given.

m<Q = 88°

Therefore,

m<Q + m<S = 180°

88° + m<S = 180° (substitution)

m<S = 180° - 88° (substraction property of equality)

m<S = 92°

Which value is the solution to the equation 20=y+12 ? ( use substitution to find solutions to equations.)

Answers

Answer:

8 = y

Step-by-step explanation:

In order to find a solution to an algebraic equation such as this one we simply need to isolate the variable. We do this by applying the opposite operation to each side in order to get rid of the other factors and get the variable alone. Like so...

20 = y + 12   ... we need to subtract 12 from both sides to get rid of the 12 on the right side with the variable y.

20 - 12 = y + 12 - 12

8 = y

Finally, we can see that the value of the variable y is 8


9(3x + 4) - 22 = 11 +5(42 - 1)

Answers

Answer:

13

Step-by-step explanation:

because I know cause my dad is adam sandler

Answer:

hello! :) have a good day!

Exact Form:

x = 202/27

Decimal Form:

x = 7.481

Mixed Number Form:

x = 7 13/27

Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5 minutes. How much propellant does each motor

Answers

Answer:

Step-by-step explanation:

Samantha has 1/3 gallon of milk left and wants to make 55 smoothies. If she wants to use the same amount of milk in each smoothie, how much milk can she put into each smoothie?

Answers

Answer:

She can put 1/165 in one smoothie.

Step-by-step explanation:

1/3 divided by 55/1

1/3 x 1/55 = 1/165

Hope this helps! :)

plz make me the Brainiest

A pond holds 1920 gallons of water. There is a leak and the amount of water drops 20 gallons every hour. How much water is in the pond after 2 days ?

Answers

Answer:

20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left

Answer:

960 gallons

Step-by-step explanation:

20 gallons * 48 hous =960 gallons

1920 - 960 =960 gallons.

Can someone pls help me? I’m confused!

Answers

Answer:

? = 24

Step-by-step explanation:

Pizzas = 3

Because of this, burgers must be 2

2³ = 8

Tacos = 8

8 + 8 + 8 = 24

24

Explanation

Pizza Slice= 3

You divide 27 by 3, which gets you 9, then divide it by 3 again, which gets you 3 once more. 3 is how much a pizza slice is.

Hamburger = 2

Since we know a pizza slice is 3, we can do 3×3 to get us 9, which we would then have to divide 18 by 9 so we get the value of the Hamburger, which is 2.

With that information in mind, 3 Hamburgers (2×2×2) equals a Taco, which would be 8. And three tacos (8+8+8) equals 24.

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If a writer's purpose is to entertain, which supporting detail would be best for her to use? A. polar bears usually weight between 700 and 1,500 poundsB. voting lets you have a say in how our country is runC. walking in clowns shoes is not as easy as it looks!D. the first step in fixing a leaky faucet is to turn off the water This table lists the densities of four different substances.SUBSTANCEDENSITY (G/CM)W1.023.07Y2.81Z0.98If water has a density of 1.0 g/cm, which substance will float on the surface of water?WO aOYOcX NOd what is questions 6?? Miguel is making trail mix. He uses 513 ounces of nuts and 234 ounces of raisins. Which of these is a reasonable estimate for how many more ounces of nuts than raisins Miguel uses? The Amistad case concerned: PLEASE HELP Use the passage to answer the question.Which two sentences from the passage show how Jesse feels about his party? A. Then, clutching the list like a prized possession, he sprinted down the stairs . . .. (paragraph 3) B. It wasnt long before Jesse was summoned by his mom. (paragraph 3) C. . . . Jesse had been in his bedroom for an eternity debating who he should invite. (paragraph 2) D. Jesse began to explain, getting defensive . . .. (paragraph 5) E. Lucky for him, Tim was on his team. (paragraph 8) A shopkeeper bought an almirah from aWholesaler for & 5ooo and sold itfor $5700. Find his profit or less orpersent. How is our nervous system connected to our special senses Problems affecting the sugar industry in the post-emancipation period and measures used to improve it. what is your reply in Spanish. (please put it in English gust in case.)"plz be friends?" Graph the function.h(x) = x^2+ 2x Which is an inequality?A. 1 PLEASE HELP ITS DUE SOON, ILL GIVE BRAINLEST What do we call the last paragraph of exposition text identify the organism that is benefiting from the relationship in Finding Nemo Can someone please explain c?Q1.The roots of the quadratic equationx2 + 2x - 5 = 0Are a and B(a) Write down the value of a + and the value of a.(b) Calculate the value of a2 + B2(c) Find a quadratic equation which has roots a3 + 1 and a3 + 1. what is question 13 ?? Question HelpFind the value of x Is it constitutional to have an impeachment trial after a President has left office? In the Byzantine Empire, who had the final say on church matters?