The figure below shows a rectangular prism and a cube:

A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 6 inches, the width is 5 over 6 inch, and its height is 1 and 2 over 6 inches. The cube has a side length of 1 over 6 inch.

How many such cubes are required to completely pack the prism without any gap or overlap?

Answers

Answer 1

Calculate the volume of each shape.

Volume of rectangle = 6 x 5/6 x 1 2/6 = 6 2/3 cubic inches.

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216 cubic inch.

Now divide the volume of the rectangle by the volume of the cube:

6 2/3 / 1/216 = 1440

It will take 1.440 cubes to fill the rectangle.

Answer 2

Answer:

1,440

Step-by-step explanation:


Related Questions

HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE

Answers

Answer:

I think its C

Step-by-step explanation:

I guessed

C or a for this problem

Help pls and thank you :)

Answers

Answer:

Answer choice : 3

Step-by-step explanation:

Given a population mean of 53.7 with a standard deviation of 1.3 and a sample size

of 6, answer these questions:

Part A: What is the standard deviation of the sampling distribution of X? Show your

work. (5 points)

Part B: What does the sample size need to be if you want the standard deviation of

the sampling distribution of x to be 0.325? Show your work. (5 points) (10 points)

Answers

Answer: A. 0.4899 B. 14

Step-by-step explanation:

If X = random variable

then, the standard deviation of the sampling distribution of X = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

A.

GIven: [tex]\sigma= 1.2, \n= 6[/tex]

The standard deviation of the sampling distribution of X = [tex]\dfrac{1.2}{\sqrt{6}}=0.4899[/tex]

B. Let n be the sample size,

[tex]0.325=\dfrac{1.2}{\sqrt{n}}\\\\\Rightarrow\ \sqrt{n}=\dfrac{1.2}{0.325}\\\\\Rightarrow\ \sqrt{n}=3.69230769231\\\\\Rightarrow\ n= (3.69230769231)^2=13.6331360947\approx 14[/tex]

Hence, the required sample size = 14

(6,-1) (0,3) write an equation

Answers

First you need to find the slope
Y2-y1/x2-x1
3-6/0-(-1)
-3/1
Slope is -1 , use a point to find b
3=-1(0)+b
3=b
The equation is
Y=-x+3

A football team scored 3 touchdowns, 3 extra points, and 4 field goals. Write an expression to represent the total points the football team scored. Use t to represent the number of points for a touchdown Use e to represent the number of points for the extra point Use f to represent the number of points for a field goal Write the equation using the "WIRIS editor" button

Answers

Answer:

The answer is below

Step-by-step explanation:

A football team scored 3 touchdowns, 3 extra points, and 4 field goals.  

a. Write an expression to represent the total points the football team scored.  

b. Write another expression that is equivalent to the one written above.  

c. If each touchdown is worth 6 points, each extra point is 1 point, and each field goal is 3 points, how many total points did the team score?  

Solution:

a) Let t represent the number of points for a touchdown, e represent the number of points for the extra point and f represent the number of points for a field goal.

Total points = 3(t) + 3(e) + 4(f) = 3t + 3e + 4f

b) Total points = 3t + 3e + 4f   OR

Total points = t + t + t + e + e + e + f + f + f + f  OR

Total points = 3(t + e) + 4f

c) Total points = 3(t + e) + 4f = 3(6 + 1) + 4(3) = 3(7) + 4(3)

Total points = 21 + 12 = 33 points

The sum of the points the team has from different point gaining options

give the total number of points the team scores.

[tex]\underline{\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f}[/tex]

Reasons:

The number of touchdowns by the football team, t = 3

Number of extra points by the football team, e = 3

Number of field goals by the team, f = 4

Therefor, the total number of points, P = 3·t + 3·e +4.f

The specified editor is an equation editor, which can be used to write mathematical equations.

Using an equation editor, we have;

[tex]\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f[/tex]

Learn more about equations here:

https://brainly.com/question/472337

Find the product.

28.5 x 7

A. 198.5
B. 199
C. 199.5
D. 200

Answers

Answer:

199.5

Step-by-step explanation:

i know because I added it up

The answer is c, hope this helps!

Help pls 6th grade math i will give brainliest

Answers

Answer:

b

Step-by-step explanation:

It will be 3/8 because if you divide by 5 it will get you there


(3y + 6) + (4y +5)=?

Answers

Answer:

7y+11

Step-by-step explanation:

(3y + 6) + (4y +5)=?

Combine like terms

3y+4y   + 6+5

7y+11

Answer:

7y +11

Step-by-step explanation:

Because you can't add the numbers with the letters

PLEASE HELP! WILL GIVE BRAINLIEST Evaluate 6r - 8.45s when r = 12 and s = 4

Answers

Answer:

Step-by-step explanation:

Putting values

6(12) - 8.45(4)

= 38.2

pedros check register showed a balance of $550.94. his bank statement listed 3 items that did not appear in his register: earned interest of $4.36, a service charge of $5.50, and an ATM withdrawal of $150. Reconcile pedro's check register.

Answers

Answer: $391.08 would be how much he really has in his register.  I may be a little off though.

Please help!!!!!!!!!!!!!!!!

Answers

Answer:

m<G

Step-by-step explanation:

They are the same angle, hence they are congruent by the reflexive property. Moreover, they are both a part of the triangles; GHL and GJK, and therefore prove similarity.

What is the length of AD if A is located at (-7,0) and D is located at (8,0)?

Answers

Answer:

15

Step-by-step explanation:

(-7,0) and (8,0) are on the opposite side of origin of x axis

d = 8 - -7 = 15

Please help it’s due in a few minutes

Answers

Answer:

135

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

I found this out because it is bigger then a 90 degree angle so tat takes out A. and B. because they are smaller then a 90 degree angle so that leaves D. because "RUP" is bigger then a 90 degree angle.

Are these two claims equivalent, in conflict, or not comparable because they’re talking about different things?
a. “We mark up the wholesale price by 33% to come up with the retail price”
b. “The store has a 25% profit margin”
Note: Profit margin = (Retail price - Wholesale price)/(Retail price)

Answers

Answer:

statement 'a' and 'b' are comparing two different things

Step-by-step explanation:

statement 'a' is referring to arriving at a selling price for at least one product

but, assuming the store sells more than one product then there is no correlation to the profit margin of the store as a whole

Which of the following statements about “vesting periods” is TRUE?

Answers

What are the statements ?

Help me please! I’m begging

Answers

terms: 2, 8, 15. variables: x, y. coefficient:2,8

let me know if it’s correct!


Simplify the expression.
- 2.3f + 0.9f - 15-9

Answers

Answer:

-1.4f - 24

Step-by-step explanation:

First combine like terms

-2.3f + 0.9f - 15 - 9

-1.4f              -24

So, simplified it is

-1.4f - 24

Simplify
Complete the chart.
Original
Function
Rewrite
Differentiate
(Power Rule)
2
3) y =
6
3x
4) y = Vx7

Answers

Answer:

Step-by-step explanation:

Original Function          Rewrite       Differentiate              Simplify

3). y = [tex]\frac{2}{3x^6}[/tex]                   y = [tex]\frac{2}{3}x^{-6}[/tex]        y' = [tex]\frac{2}{3}(-6)x^{(-6-1)}[/tex]              y' = [tex]-\frac{4}{x^{7}}[/tex]

4). y = [tex]\sqrt[4]{x^7}[/tex]                 y = [tex]x^{\frac{7}{4}}[/tex]            y' = [tex]\frac{7}{4}x^{(\frac{7}{4}-1)}[/tex]                      y' = [tex]\frac{7}{4}x^{\frac{3}{4}}[/tex]

Pls help it due today

Answers

Answer:

B

Step-by-step explanation:

Answer:  Choice C.  y = (-1/2)x+7

=========================================================

Explanation:

The slope of the graphed line is -1/2 because we drop down 1 unit on the y axis each time we move to the right 2 units along the x axis. We could apply the slope formula for any two points on the diagonal line to also get a slope of -1/2.

The slope formula is m = (y2-y1)/(x2-x1).

Any two parallel lines have the same slope, but different y intercepts. So the parallel line will also have slope -1/2. Right away we can see the answer must be choice C. This is the only equation with slope -1/2 of the choices given.

Recall that slope intercept form y = mx+b has m as the slope. Not to be confused with the label m of the graphed line.

Note how plugging x = 6 into the equation for choice C leads to...

y = (-1/2)*x + 7

y = (-1/2)*6 + 7

y = -3 + 7

y = 4

Showing that (x,y) = (6,4) is on the equation y = (-1/2)x + 7. This confirms the answer.

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

Let's say we didn't have multiple choice answers to pick from, and instead it was fill in the blank. To find the y intercept b, we can do the following

y = mx+b

y = (-1/2)x + b ... plug in given slope m = -1/2

4 = (-1/2)*6 + b .... plug in the given point (x,y) = (6,4)

4 = -3 + b

4+3 = -3+b+3 ... adding 3 to both sides

7 = b

b = 7

Knowing that m = -1/2 and b = 7, we can update y = mx+b into y = (-1/2)x+7

The square of a number plus the original number is 22 what could the number be?

Answers

Answer:

x²+22

Step-by-step explanation:

let the number= X

x²+22

x2+22 is the answer to your question

What is the measure of ABC?
A. 130
B. 85
C.40
D.170

Answers

Answer:

It would 85

Step-by-step explanation:

The easiest way to think about it is that the angle looks a little smaller than a right angle (90 degrees) therefore 85 degrees is correct.

will give brainliest please help!!

Simplify the expression x-3x-(-5x).​

Answers

Answer:

D. 3x.

Step-by-step explanation:

Let's do a little bit of simplifying.

First, distribute that minus sign outside of the parentheses.

x - 3x + 5x

Then simplify further.

-2x + 5x

More.

3x

10. Pandora music cost $109.65 a year.
Popular songs on iTunes cost $1.29 for
the purchase of each song. How many
songs purchased on iTunes would it take
to equal the cost of two years of Pandora
music.

Answers

Answer:

170 songs

Step-by-step explanation:

109.65 x 2= 219.30

219.30/1.29=170

1 2/3 x 2 1/4 =

answer asap and correct pls.

Answers

Answer:

the answer is 3.75

Step-by-step explanation:

I got the answer in decimal

the answer is 3 3/4. please make me brailiest

According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city. Predict how many of them prefer Colgate.

100 Points to the first person who answers! and the Brainliest

Answers

Answer:

According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city.

Let the number of dentists prefer Colgate in the city be x

[tex] \frac{4}{20} = \frac{x}{150} \\ x = \frac{4 \times 150}{20} \\ \boxed{x = 30}[/tex]

30 dentists prefer Colgate.

what is the equation of a line that passes throught the points (-4, 2) and (-8, -3)​

Answers

Answer:

y=5/4x+9/2

Step-by-step explanation:

Slope: 2+3/-4+8

=5/4

y-2=5/4(x+2)

y-2=5/4x+5/2 <------because 5/4*2=10/4

y=5/4x+9/2

Two car services offer to pick you up and take you to your destination. Service A charges 40 cents to pick you up and 30 cents for each mile of your trip. Service B charges $1.10 to pick you up and charges c cents for each mile.

A) Match the services to the lines l and m

B) For service B, is the additional charge per mile greater or less than 30 cents per mile of the trip? Explain your reasoning ​

Answers

Answer/Step-by-step explanation:

a.) Service A charges of 40 cents to pick you up is the initial value (y-intercept). Form the graph, the line that has a y-intercept of approximately 40 cents is line m.

Also, the initial value of line l is $1.10 from the graph, which is the pick up cost that Service B charges. Therefore,

Line m = Service A

Line l = Service B

b.) The additional charge of service B = the slope of line l. Let's calculate the slope to see if it's greater than or less than 30 cents per mile of the trip.

Using two points on line l, (0, 1.10) and (7, 2.5)

Slope = change in y/change in x = (2.5 - 1.10)/(7 - 0)

= 1.4/7 = 0.2

Additional charge per mile for service B is $0.2 = 20 cents.

Therefore we can conclude that the additional charge per mile for service B is less than 30 cents/mile of the trip.

For which regular polygon is 30 degrees the smallest angle of rotational symmetry?

Answers

answer.

•given that is smallest angle of rotational symmetry for a regular polygon is 30

•we have to find the number of side does the regular polygon have

•if we can rotate of figure around a center point be fewer than 360° and the figure appears and change then the figure has the rotation symmetry

Hence,12 number of sides the polygon.

no. of side= 360/ smallest angle at centre=12

I hope it's help

Answer:

the answer is D

Step-by-step explanation:

The ratio of the number of adults to the number of children at the resturant is 3:7. Identify the choices below that represent an equivalent ratio. Choices: A: 6:14 B: 8:12 C: 15:35 D: 21:9 E: 30:70

Answers

Answer: A: 6:14

C: 15:35

E: 30:70

Step-by-step explanation:

From the question, we are given that the ratio of the number of adults to the number of children at the resturant is 3:7.

The choices below that represent an equivalent ratio goes thus:

A: 6:14

This can be represented as: 6/14. The common factor is 2 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

B: 8:12

This can be represented as: 8/12. The common factor is 4 and we reduce to lowest term which would be: = 2/3 = 2:3

This is not an equivalent ratio.

C: 15:35

This can be represented as: 15/35. The common factor is 5 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

D: 21:9

This can be represented as: 21/9. The common factor is 3 and we reduce to lowest term which would be: = 7/3 = 7:3

This is not an equivalent ratio.

E: 30:70

This can be represented as: 30/70. The common factor is 10 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

The correct options are A, C,and E.

Tamika makes a 4% commission selling electronics. How much commission does she make if she sells a flat-screen TV for $8,000?


A.) $7,680

B.) $2,000

C.) $32,000

D.) $320

Answers

Answer:

D.) $320

Step-by-step explanation:

4% of 8,000

so

0.04 x 8,000

= 320

Other Questions
ILL MARK AS BRAINLESS PLS HELP Which might be considered a limiting factor to the amount fish in a lake 1) Amount of squirrels in the environment2) Amount of water in the lake3) Temperature of the lake4)Choice 2 and 3 Question 1Item 1(The following passage is excerpted from a textbook published by an American and a Dutch scientist in the 1950s.)Science is often defined inadequately as an organized body of knowledge. This would make cookbooks, Sears, Roebuck catalogues, and telephone books science, which they are not. Sometimes science is defined simply as rationality, but that would make much of theology and metaphysics science, which they are not. Rationality is logical consistency, lack of contradiction. It is to be distinguished from reasonableness, the quality of a mind open to arguments and evidence opposed to its beliefs: a willingness to reconsider. Rationalists can be quite unreasonable or dogmatic. Rationalist metaphysicians and theologians are often certain about premises which come from intuition or revelation. Even paranoiacs may be thought of as rationalists, for they are commonly most rigorous in reasoning. But their premises, which they cling to in spite of all evidence, are absurd.WHAT SCIENCE ISScience is empirical, rational, general, and cumulative; and it is all four at once. Science is empirical in that all its conclusions are subject to test by sense experience. Observation is the base on which science rests, but scientific observation is more than keeping ones eyes open. It is observation made by qualified observers under controlled conditions of those things which confirm or disconfirm, verify or refute a theory. Sherlock Holmes* could tell by the stains on a vest what a man had eaten for breakfast. From a number of such observations he arrived at a theory about why and how a particular crime was committed. This procedure is excellent for detection but insufficient for science, because it yields only knowledge of particular events. Science would go on to ask why and how crime, not a particular crime, is committed. Science uses facts to test general theories and general theories to make predictions about particular facts.Scientific observations may be made of things as they exist, like the color of an apple or the temperature of the air, or it may be made of what results from an experiment. An experiment is the deliberate manipulation of conditions in order to bring about what we want to observe. If we want to test the hypothesis that a new plastic can withstand two hundred pounds of pressure without crumbling, we may have to create a situation in which such pressure is applied to a piece of the plastic, because it is unlikely that the situation already exists anywhere in the world, or if it does, that all other factors are kept constant. In some sciences, like astronomy, we do not sufficiently control the subject matter to experiment on italthough we do control the conditions of observationand we distinguish those sciences from others, like chemistry, in which experiment is possible, by calling the latter experimental sciences.Although all scientific thought ultimately rests on observation, there are vast portions of it which are entirely rational: analysis of the meaning of terms, deductions from existent theories, explorations of the logical relations among concepts and among theories. Logic is applied to science constantly because logic contains the rules of valid thinking. The application of mathematics is often thought, erroneously, to be an index of the status of any science. Of course, the more it can be applied usefully within a science, the more advanced the science. For mathematics functions both as a language in which scientific laws are stated, giving them the utmost precision, elegance, and economy, and as the basis of measurement. Many of the most significant advances in physics, astronomy, and chemistry have depended on advances in and application of mathematics. Without calculus the work of Isaac Newton would have been impossible. Yet great scientific work in other fields, performed by men like Pasteur, Darwin, and Pavlov (with whose names pasteurization, evolution, and conditioned response in psychology are associated), has used little or no mathematics.In the second sentence of the first paragraph, the authors mention cookbooks, catalogues, and telephone books primarily toillustrate the broad array of objects that are organized by scientific principlesillustrate the broad array of objects that are organized by scientific principlesAconcede that rational argumentation can sometimes lead to absurd conclusionsconcede that rational argumentation can sometimes lead to absurd conclusionsBdemonstrate that a particular definition of science is overly inclusivedemonstrate that a particular definition of science is overly inclusiveCcondemn those who erroneously regard such works as forms of sciencecondemn those who erroneously regard such works as forms of scienceDhighlight the inherent difficulty of distinguishing science from other types of knowledge Example 3L1 and 22 form a linear pair. If m_1 = 4 m22, find the measure of each of the two angles. express 20cm as a percentage of 3m In five to seven sentences, describe the difference between a parliamentary and a presidential government.plz help Education is teaching our children to desire the right things. this means what in your own words A hardware store manager reviews data that shows how well a new product is selling over an 8-week period. The data can be modeled by the equation y = - 13.9x + 103 , where x represents time in weeks and y represents the number of units of the product left in stock. what does-13.9 represent how many federal circuit court of appeals are there? Which Russian composer wrote the 1812 Overture?O A. MussorgskyO B. TchaikovskyO C. Rimsky-KorsakovD. Borodin What does a producer need to make its own food Identify any x-intercepts for the graph below . What do u do when ur sad, happy or mad... Curious :/ Or in love;) what is 2,925 divided by 9 6 xy 4 = 2 x72 please koi solutions do How are S waves and P waves similar? The temperature dropped from 23C to -16C.By how many degrees did the temperature drop? Julie says that she can perform a magic trick with numbers. She asks you to pick a whole number, any whole number. Square that number. Then add twice the your original number. Next add 1. Take the square root of the result. Finally, subtract your original number. Then Julie exclaims with authority, "Your answer is 1." Is your answer 1? Cmo se dice her cousin Laura en espaol?A. vuestra prima LauraB. su prima LauraC. nuestra prima LauraD. tu prima Laura Suppose you are traveling down the highway at 100 km/hr, and want to pass a truck. You accelerate from 100 km/hr to 120 km/hr in 3 seconds in order to do so. What is your average acceleration, in meters per second squared (m/s 2 )