Mathematics Middle School

The figure below shows a rectangular prism and a cube: How many such cubes are required to completely pack the prism without any gap or overlap? the length is 6in. width is 5/6 and the height is 1 2/6 the cube side is 1/6

Answers

Answer 1
The volume of the prism = 6 * 5/6 * 8/6  =   240/36   in^3

No. of cube  = 240 / 36  / 1/6
                    = 240 * 6 / 36
                    = 240 / 6
                    = 40 

Answer 2

The number of cubes should be 1.440.

The calculation is as follows:

Calculate the volume of each shape is as follows:

Volume of rectangle = [tex]6 \times 5\div 6 \times 1\ 2\div 6 = 6\ 2\div 3[/tex] cubic inches.

And,

Volume of cube =[tex] 1\div6 \times 1\div6 \times 1\div6 = 1\div216[/tex] cubic inch.

Now

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

So,

[tex]= (6\ 2\div 3) \div (1\div 216)[/tex]

= 1.440

Learn more; https://brainly.com/question/15622851?referrer=searchResults

Related Questions

the length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units

Answers

24 +24 = 48

11 + 11 = 22

48 +22 = 70

 the perimeter cannot be 60 with dimensions of 24 & 11

No. It cannot be 60 when the width is 11.

What is 10 times 7 thousands

Answers

70,000 is the answer

answer correctly for brainliest

Answers

1. D
2. C
3. E
4. A
5. B
1) D
2) C
3) E
4) A
5) B

This is true because the phrases are simply defining what is going on in the equation.

Find two numbers that have 2,3 and 5 as factors. What other factors do the two numbers have in common?

Answers

2,3, and 5 as factors...

30 has 2,3, and 5 as factors....
60 has 2,3, and 5 as factors...

both 30 and 60 also have common factors of 1,6,10,15,and 30

Two numbers are 30 and 60 that have 2,3 and 5 as factors.

What is LCM ?

LCM is the least common multiple of two or more that two given numbers which is exactly divisible by these given numbers.

According to the given question we have to find two numbers that have 2, 3 and 5 as common factors.

To find least such number which have common factor of 2, 3 and 5 we have to take LCM of 2, 3 and 5.

The LCM of 2, 3 and 5 is 30.

The next such possible higher numbers will be of the form 30k, where k is an integer.

At k = 2,
The number 30k will be 30(2) which is

= 60.

We can find any such form of numbers by putting different integer value of k.

learn more about LCM here :

https://brainly.com/question/20739723

#SPJ2

Add 3 7/12 +2 7/9. Simplify the answer and write as a mixed number.

Answers

3 7/12 = 43/12

2 7/9 = 25/9

both denominators must be the same to add together.

(25/9)x 12

(43/12) x 9

300/108 + 387/108 =

687/108

which in its simplest form is 229/36

and in a mixed number is 6 13/36

find lowest common denominator 9 × 12 = 108
cross multiply 9 ×7 and 12 ×7
3 63/108 + 2 84/108 => 3 147/108 => 4 39/108

What is the value of z in the equation 5z − 9 = 36? 4 5 6 9

Answers

First of all, move the known term (-9) at the left of the equal with changed sign.

5z = 36+9

5z = 45

Divide both terms by 5

5z/5 = 45/5

z = 9
5z - 9 = 36

add 9 to both sides

5z - 9 + 9 = 36 + 9

5z = 45

divide both sides by 5

5z / 5 = 45 / 5

z = 9

Bryce collected data about the amount of time each student in history class spends studying. if the range is 1, what does this reveal about the data?

Answers

If the range is 1, we can assume that every student in that history class studies for a very similar amount of time studying, within 1 minute to be specific.

What is the sum of 4.2•10^5 and 5.3• 10^5

Answers

if my math is correct, it should be 950,000

Which statement best describes the relationship between the number of cookies eaten and the number of calories consumed?

No relationship can be determined.
As the number of cookies eaten increases, the calories consumed decreases.
As the number of cookies eaten increases, the calories consumed increases.
As the number of cookies eaten decreases, the calories consumed increases.

Answers

Answer: As the number of cookies eaten increases, the calories consumed increases.


This is because the number of cookies and calories consumed have a directly proportional relationship, meaning that if one value increases, so does the other.

Answer:

As the number of cookies eaten increases, the calories consumed increases.

Step-by-step explanation:

As we can see in the graphic with more cookies we have more calories. Because for 1 cookie we have 50 calories and for 5 cookies we have 200 calories.

Then as the number of cookies increases, the calories consumed increases.

You run 6 miles in 1 hour. At this rate how long will it take you to run a marathon of 26 miles?

Answers

6 miles/ 1 hr= 26 miles/ x hrs

Cross multiplication method.

1 hr*26 miles= 26

26/6= 4 1/3

4 1/3=x

Final answer: 4 1/3 hrs or 4 hrs and 20 minutes

What is the value of the expression 2 + 32 ⋅ (4 − 1)?

Answers

102, first you subtract 1 from 4 so thats 3 and then you add the 32 and 2 so now all you have to do is multiply the results of 4-1 and 32+2
2 + 32 • (4 - 1)
2 + 32 • 3
2 + 96
= 98 Parenthesis
Exponents
Multiply
Divide
Addition
Subtraction

Which statement is false? A.The all them of a regular polygon is perpendicular to the side. B.the radius of a regular polygon is always greater than the all them. C.the perimeter of a regular hexagon is 6r. D.the perimeter of a regular n-gob is the area divided by the all them.

Answers

D. the perimeter of a regular n-gob is the area divided by the all them.

The modified expression, x3(2x + 5) – 4(2x + 5), has two terms with a common factor

Answers

Yes, the common factor is (2x+5)  and the equation can be expressed as:

(x^3-4)(2x+5)
the answer is 2x + 5

For which of the following is x=-5 a solution? Select all that apply. A) x+10=-5 B) -x^2+50=25 C) l2xl =10 D) x<0 E) 2x<10

Answers

Let's check each of the cases to determine the solution of the problem

case A) we have

[tex]x+10=-5[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex](-5)+10=-5[/tex]

[tex]5=-5[/tex] ------> the equation is not true

therefore

The value of [tex]x=-5[/tex] is not a solution of the equation

case B) we have

[tex]-x^{2} +50=25[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex]-(-5)^{2} +50=25[/tex]

[tex]-(25) +50=25[/tex]

[tex]25=25[/tex] ------> the equation is true

therefore

The value of [tex]x=-5[/tex] is a solution of the equation [tex]-x^{2} +50=25[/tex]

case C) we have

[tex]\left|2x\right|=10[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex]\left|2(-5)\right|=10[/tex]

[tex]\left|-10\right|=10[/tex]

[tex]10=10[/tex] -----> the equation is true

therefore

The value of [tex]x=-5[/tex] is a solution of the equation [tex]\left|2x\right|=10[/tex]

case D) we have

[tex]x < 0[/tex]

Substitute the value of [tex]x=-5[/tex] in the inequality

[tex]-5 < 0[/tex] --------> the inequality is true

therefore

The value of [tex]x=-5[/tex] is a solution of the inequality [tex]x < 0[/tex]

case E) we have

[tex]2x <10[/tex]

Substitute the value of [tex]x=-5[/tex] in the inequality

[tex]2*(-5) < 10[/tex]

[tex]-10 < 10[/tex] --------> the inequality is true

therefore

The value of [tex]x=-5[/tex] is a solution of the inequality [tex]2x <10[/tex]

the answer is

[tex]-x^{2} +50=25[/tex]

[tex]\left|2x\right|=10[/tex]

[tex]x < 0[/tex]

[tex]2x <10[/tex]



Answer:

Step-by-step explanation:

How to write x2+y2+2x-12y-9 in Standard form

Answers

see picture. The equation is already in standard form.

a carpet measures 7 ft long and has a diagonal measurment of 8.60 ft . How do i solve to find the width of the carpet?

Answers

You can solve this using the Pythagorean theorem.
The Pythagorean therorem states the a^2+b^2(the sides of the triangle adjacent to the right angle) = c^2(the hypotenuse/diagonal)
Now lets plot the information into the Theorem.
7^2+b^2=8.6^2
Solve for b
49+b^2=73.96
b^2=73.96-49
b^2=24.96
b=√(24.96)
b=4.99599839872

The Width would be 4.99599839872 ft.

Hope this helps!

-5/4x -5= -35 solve for x

Answers

x=24 im pretty sure that's the answer 
-5/4x -5= -35
-5/4x = -30
      x = -30 (-4/5)
      x = 24

What is the área of a circule with a radious of 3 meters use 3.14

Answers

Area is pie r^2.
Area= 3.14(3^2)
Area=3.14• 9
Area = 28.26.
Hey!

The formula to find the area of a circle using 3.14 for [tex] \pi [/tex] would be, 
[tex]A=3.14*r^2[/tex]
For this question, the area of a circle would be,
[tex]A=3.14*3^2[/tex]
Let's simplify it.
A ≈ 28.26
Since we are using an approximation, we have to use the approximation sign (≈)

Thanks!
-TetraFish

The ratio between the number of cats (c) and the number of dogs (d) in the shelter is 3. There are 27 cats in the shelter. How many dogs are in the shelter?

Answers

27 / 3 is 9

Since the ratio is 3:1, that means for every 3 cats you get one dog.

Therefore your answer is 9

if a four sided figure has four right angles, then it has four congruent sides. Prove it wrong.

Answers

A rectangle is a four sided figure with four right angles but it does not have congruent sides because two of its sides are longer than the other two.

Can u help idk how to write it ?

Answers

You are given Maggie's planning on going to Penn State University. You are also given that she could live there if she has more than $2,000 if she already bought a laptop at $450.

For part A, the inequality that we can form is x ≥ 2,450 because she needs more than $2,000 to survive after buying a $450 dollar worth laptop. Adding the two makes it 2,450.

For part B, if she has to withdraw $30 per week, then the inequality that we can form is x ≥ 2,450 - 30

For part C,
30x ≥ 2,000 
x ≥ 66.67

For part D, the answer 66.67 means that Maggie can have 66 times to withdraw $30 per week worth of food from her balance $2000.

You fly in a helicopter for 20 minutes that goes at a speed of two 40 km/h how far did you go

Answers

well since 20 minutes is 0.33 hours then 40 * 0.33 = 13.2 km traveled. please make me brainiest answer that would help me out a lot

I have to find the unit rate of change. Can somebody plz explain to me how to do it. I have an idea but I don't remember exactly how.

Answers

the rate of change is the same as the slope...u can use the slope formula : (y2 - y1) / (x2 - x1), with 2 sets of points...or....according to ur graph, they want to know how many miles u can go for 1 hr. y/x.....60/1....so they can go 60 miles in 1 hr...60/1 is ur unit rate.
To find the unit rate, you should find the slope.  In order to find the slope of this line, use the rise/run between two points technique.  For example the rise/run between points (2,120) and (3,180) is 60/1, or 60.  This means that in one hour the family's car drives 60 miles.

Hope the explanation helped!

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Answers

(3/4) / (1/6) =
3/4 * 6/1 =
18/4 =
4.5 miles per hr <==

What is P(0.6 ≤ z ≤ 2.12)?

Answers

You have to look up in your Z score table.

P( 0.6≤ z≤ 2012) is the probability or area (of the bell shaped curve) between the value of      z = 2.212 & z = 0.6.

To that end for z₁ = 2.12 you find an area = 0.9830  and
                   for z₂ = 0.6 you find an area = 0.7257

Subtract those values  z₁ - z₂ = 0.9830 - 0.7257 = 0.2573

and P( 0.6≤ z≤ 2012) = 0.2573 (0r 25.73%)

The value of P(0.6 ≤ z ≤ 2.12) is, 26%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

To find the value of P(0.6 ≤ z ≤ 2.12).

Now, We can simplify as;

P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)

So, From the Cumulative Standardized Normal Distribution table,

P( z ≤ 2.12) = 0.9830

P(z < 0.6) = 0.7257

Hence, We get;

P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)

P(0.6 ≤ z ≤ 2.12) = 0.9830 - 0.7257

P(0.6 ≤ z ≤ 2.12) = 0.2573

P(0.6 ≤ z ≤ 2.12) = 0.26

P(0.6 ≤ z ≤ 2.12) = 26%

Thus, The value of P(0.6 ≤ z ≤ 2.12) is, 26%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ3

four times the square of a non-zero number is equal to twelve times the number.

Answers

4x^2 = 12x
4x^2 - 12x = 0
4x(x - 3) = 0

4x = 0
x = 0...not this one

x - 3 = 0
x = 3 <== ur number

3 is the number whose four times the square is equal to twelve times 3.

What is equation?

An equation is a relationship between two or more variables expressed in equal to sign. It is solved to find the value of variables. Equation of two variables will look like ax+ by=c.

How to find number?

Let the required number be x.

According to question we have to form an equation which will be:

4[tex]x^{2}[/tex]=12x

[tex]4x^{2} -12x=0[/tex]

4x(x-3)=0

4x=0, x-3=0

x=0, x=3

Non negative number=3

Hence 3 is the number whose 4 times square is equal to 12*3.

Learn more about equation https://brainly.com/question/2972832

#SPJ2

Solve the following proportion for v. v/8=13/11 Round your answer to the nearest tenth.

Answers

Final answer:

To solve the proportion v/8 = 13/11, cross-multiply and solve for v. The value of v is approximately 9.5.

Explanation:

To solve the proportion v/8 = 13/11, we can cross-multiply and solve for v. Cross-multiplying gives us v * 11 = 8 * 13. Simplifying, we have 11v = 104. Dividing both sides by 11, we find that v = 104/11. Rounding to the nearest tenth, v ~ 9.5.

Learn more about Proportions here:

https://brainly.com/question/34018947

#SPJ11

Use long division to convert -45/8 to a decimal.

A. -5.625
B. -6.252
C. 5.625
D. 6.252

Answers

The answer is A. -5.625
The answer choices are 8pie/9inches
16pie/9inches
64pie/9inches

The best length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle?

Answers

Area= b*h/2 where b is base and h is height.

Plug it into the formula.
4*2=8
8/2=4

Final answer: 4 ft^2

What is the value of the expression All of 4.8 multiplied by 10 to the power 9 over all of 1.6 multiplied by 10 to the power 3

Answers

4.8(10^9)/(1.6(10^3))

Pertinent quotient rule for similar bases with exponents...

(a^b)/(a^c)=a^(b-c)  so what you really have is:

(4.8/1.6)(10^(9-3))

3(10^6)

3X10^6

Other Questions
If a proton is released at the equator and falls toward earth under the influence of gravity, the magnetic force on the proton will be toward the ____ assuming the magnetic field is directed toward the north at this location. In a transaction-processing system (tps), if the tps database can be queried and updated while the transaction is taking place, this is called ________ processing. Through single-cell recordings, researchers have identified the ________ neurons in the visual system. Gabrielle's age is two times Mikhail's age. The sum of their ages is 72 . What is Mikhail's age? Women in the 1920s who rebelled against conventional dress, hairstyles, and what was considered to be ladylike were commonly called "When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation."These lines from the Declaration of Independence are an example of the use of thesis, theme purpose pathos Researchers sample 4 comma 0004,000 households concerning tv shows they watch. based on the sample 1616% reported watching 60 minutes. what is the 95% confidence interval for the proportion of all americans that watch 60 minutes? Which of the following words has anegativeconnotation?ExcursionsLonelyFreedomMosses Match the perfect square trinomials with their factors 4a2 + 4a + 1 (2 + a)(2 + a) 4a2 4a + 1 (2a + 1)(2a + 1) 4 4a + a2 (2a 1)(2a 1) 4 4a a2 (2 a)(2 a) 4 + 4a + a2 Which theory holds that some people have a genetic disposition toward fat storage and retaining weight? A t-shirt manufacturer designs shirts showing caricatures of certain generic rich athletes. these are not literal depictions but rather exaggerated images of these athletes. what would be the most likely result Andrew wants to participate in downhill mountain bike racing, but he will need to buy some new equipment. As he shops, he assesses the risk of racing and thinks about strategies to lower those risks. Which of the following is a risk assessment and NOT a strategy?1. Andrew weighs the pros and cons of different braking systems.2. Andrew considers the likelihood of crashing while riding.3. Andrew asks about the kinds of safety equipment available.4. Andrew inquires whether full-face helmets can offer extra protection. Mayan company had net income of $33,250. the weighted-average common shares outstanding were 9,500. the company sold 4,500 shares before the end of the year. there were no other stock transactions. the company's earnings per share is: Family relationships in ancient China were strongly influenced by What is the value of the expression All of 4.8 multiplied by 10 to the power 9 over all of 1.6 multiplied by 10 to the power 3 What major achievement for African Americans took place after world war 2 What was the reaction to Gorbechev's changes? Everyone thought the new political system was ideal. The United States thought the changes he was making were dangerous. A large group of Communists attempted to take control of the Soviet Union because they disliked his ideas. Most of the world disliked his changes from Communism. What number of atoms of phosphorus are present in 1.00g of each of the compounds in exercise 48? How can you best help people with eating disorder If you go to your local library to vote, this public building would be considered your ________. Steam Workshop Downloader