1) The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (figure not to scale)

A) 10 ⅔ cm³
B) 24 cm³
C) 26 ⅔ cm³
D) 40 cm³​

1) The Right Rectangular Prism Is Packed With Unit Cubes Of The Appropriate Unit Fraction Edge Lengths.

Answers

Answer 1

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Formula :

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Volume = Length x Width x Height

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Find volume :

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\(Volume=6 \frac{2}{3} *2*2\)  

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Change to improper fractions :

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\(Volume=\frac{18}{3}*\frac{2}{1} *\frac{2}{1}\)

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Combine into single fraction :

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

\(Volume=\frac{24}{1}\)

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

Simplify:

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

\(Volume=24\)

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

Answer: Volume = 24 cm³ (Answer B)

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Related Questions

A Pattern has 5 blue triangles to every 80
yellow triangles, what is the ratio of blue
triangles to all triangles?​

Answers

Answer:

5:80, there are only 2 numbers

Step-by-step explanation:

The ratio of blue triangles to all triangles is 1 : 17.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

A Pattern has 5 blue triangles to every 80 yellow triangles.

Here, Number of blue triangles = 5

Number of all triangles = 5 + 80

                                    = 85

Thus, The ratio of blue triangles to all triangles is,

⇒ Number of blue triangles : Number of all triangles

⇒ 5 : 85

⇒ 1 : 17

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It says in the question;
How many different "MATEM" words can be written in the above figure?​

It says in the question;How many different "MATEM" words can be written in the above figure?

Answers

Answer:

I think the answer is B)54

The center is O. The circumference is 28. 6 centimeters. Use 3. 14 as an approximation for pi

Answers

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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A manufacturer produces two products, Product A and Product B. The weekly profit function, in dollars, is P(x,y)= 560x+20xy-20x2-6y2, where x and y are units of each product in thousands. Determine how many units of each product should be produced and sold weekly in order to maximize the manufacturer's total weekly profit and the maximum value of the total weekly profit. Follow the steps: (a) The only critical point of P is (XcY) =( (b) Use the D-Test to classify at the critical point whether the function has a relative maximum or minimum, or a saddle point, or inconclusive: At the critical point, the D value is ---Select--- , and the second order partial derivative Pxx is ---Select-- 1 . Therefore at this point --Select--- (c) Therefore in order to maximize the manufacturer's total weekly profit, week. units of Product A and units of Product B should be produced and sold per (d) Now, plug x = and y = into the function P(x,y) we obtain that the maximum weekly profit is $ Hint:

Answers

To maximize the manufacturer's total weekly profit, we need to find the critical point of the profit function P(x,y).


(a) To find the critical point, we need to find where the partial derivatives of P(x,y) are equal to zero.


Taking the partial derivative of P(x,y) with respect to x and y, we get:
P_x = 560 + 20y - 40x
P_y = 20x - 12y


Setting P_x = 0 and P_y = 0, we get:
560 + 20y - 40x = 0  and  20x - 12y = 0
Solving these equations simultaneously, we get:
x = 7 and y = 35

(b) To classify the critical point, we need to use the D-Test. The D value is:
D = P_xx * P_yy - (P_xy)^2
Substituting the values of P_xx, P_yy, and P_xy, we get:
D = -9600
Since D is negative, we have a saddle point at the critical point.

(c) To maximize the manufacturer's total weekly profit, we need to produce and sell 7,000 units of Product A and 35,000 units of Product B per week.

(d) Plugging x = 7 and y = 35 into the profit function P(x,y), we get:
P(7,35) = 560(7) + 20(7)(35) - 20(7)^2 - 6(35)^2
P(7,35) = $8,050
Therefore, the maximum weekly profit is $8,050.

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if the jewler buys 49.8 lb of silver to make the hearts, how many sterling silver hearts can the jewlers make?

Answers

Hey I think the answer is b

If a circle is equally divided into 6 angles, what is the measure of each angle?

Answers

Step-by-step explanation:

The answer is 60°

because

360÷6 = 60

The XYZ Car Rental Agency charges a
flat rate of $39 per day plus $0.47 per mile driven.
Write an algebraic expression for the rental cost of a
car for x days that is driven y miles.

Answers

i think it’s 39x+.47y

a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the third side?

Answers

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the

List domain and Range in interval notation, then decide if it is a function or not.

List domain and Range in interval notation, then decide if it is a function or not.

Answers

Domain are for x-values so [0,3] and range are y-values so [2,-2]. It is not a function because there are multiple x-values for y-values. The only thing I am not sure about is whether to use brackets [ ] and/or parentheses ( ) because the graph does not use circles. Hope this helped!

What is the surface area of this right prism?

Enter your answer in the box.

cm²
Right triangular prism. The right triangle base has a horizontal leg labeled 4 centimeters and the vertical height of 3 centimeters. The other side is labeled 5 centimeters. The height of the prism is labeled 7 centimeters.

Answers

Answer:

117 cm²

Step-by-step explanation:

Right triangular prism: 5 surfaces

SA: 2 triangles + 3 rectangles

Triangles

A = bh/2

A = (4 · 3)/2 = 12/2

6 cm²

Rectangles

A = bh

A = 5 · 7

35 cm²

Total

SA: 2 triangles + 3 rectangles

SA: 2(6) + 3(35)

117 cm²

Hope this helps and God bless!

What is the surface area of this right prism?Enter your answer in the box. cmRight triangular prism.

It takes 1/3 pint of paint to cover a birdhouse. There are 12 1/3 pints of paint in a can. Write and evaluate a division expression to find the number of birdhouses
that can be painted whats the answer?

Answers

Answer: 41

Good Luck!

The answer is 41 good luck

question: determine whether the set of numbers in each table is proportional. if the relationship is proportional, identify the constant of proportionality. Explain your reasoning

question: determine whether the set of numbers in each table is proportional. if the relationship is

Answers

Answer:

chicken wing chicken wing hot dog and baloney chicken and macaroni chillen with my homie

Step-by-step explanation:

Write a linear function that relates y to x

Write a linear function that relates y to x

Answers

Answer:

y = x -2

Step-by-step explanation:

Slope is 1, y-intercept is (0,-2)

Answer:

y=x-2

Step-by-step explanation:

Bernie had $30 in his bank account. Today, he withdrew d dollars but tomorrow he will
bank account after tomorrow.
deposit $15. Write an expression to represent how much money Bernie will have in his

Answers

Answer:

Step-by-step explanation:

Bernie had $30 in his bank account.

Today he withdrew $d

Now he has = $30 — $d

Because from $30 he took away $d that’s why $d have to subtract from the $30.

Tomorrow he’ll deposit $15 and that will be added up with current balance $30 —$d.

So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15

choose the expression that best completes this sentence: the function f(x) = ________________ has a local minimum at the point (8,0). a) x−8 b) (x−8)−1 c) x2−16x 64 d) −|x−8| e) (x−8)13

Answers

The correct answer to this question is option C: f(x) =\(x^2 - 16x + 64\). This is because the expression \(x^2 - 16x + 64\) can be factored as\((x - 8)^2,\) which represents a parabola that opens upwards and has its vertex at the point (8, 0).

The fact that the vertex is a minimum point can be seen by observing that the coefficient of \(x^2\) is positive, which means that the parabola opens upwards. In addition, the squared term in the expression \((x - 8)^2\)ensures that the function is symmetric around x = 8, which means that the vertex is the lowest point on the curve within some neighborhood of x = 8. Therefore, the function f(x) = \(x^2 - 16x + 64\)has a local minimum at the point (8,0).

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What 2 whole numbers is the square root of 75 between?

Answers

Answer:

8 and 9

Step-by-step explanation:

Find the nth term of this quadratic sequence
2, 8, 18, 32, 50,

Answers

Step-by-step explanation:

+6,+10,+14,+18

+4+4+4

therefore quadratic 4/period function=2

\(y = 2{x}^{2} + bx + c\)

y=2 x=1

\( 0 = b + c\)

y=8 x=2

8=8+2b+c

0=2b+c

y=18 x=3

0=3b+c

therefore

the equation is 2x^2=y

Simplify 9 + 7 + n.

n + 16
n + 17
16n

Answers

Answer:

16+n

Is this all? if yes 9+7=16 so 16+n is the simplified form o.o

16+n is the answer

9+7+n

=16+n

A college student is choosing between two data plans for her new cell phone. Both plans include an allowance of 2 gigabytes of data per month. The monthly cost of each option can be seen as a function and represented with an equation:



Option A: `A(x)=60`

Option B: `B(x)=10x+25`



In each function, the input, `x`, represents the gigabytes of data used over the monthly allowance.



Describe each data plan in words.

Answers

The functions for the total cost per month for data use are linear in each of the given options.

Correct responses;

1. A(1) = 60,   B(1) = 35

2. A(7.5) = 60,   B(7.5) = 100

3. The monthly charge for Option A fixed. The monthly charge for Option B includes a fixed monthly fee and $10 per gigabyte used.

4. Please find attached the combined graph of Option A and Option B. Option B is more affordable when the (extra) data usage is less than 3.5 gigabytes each month.

The amount of gigabytes of data the student would have for $50 is 2.5 gigabytes.

What is an expression?

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given parameters are;

Both plans data allowance per month = 2 gigabytes

The monthly cost for each option is;

Option A: A(x) = 60 = Constant

Option B: B(x) = 10·x + 25

Solution:

1. The values of A(1) and B(1) are;

A(1) = 60

B(1) = 10 × 1 + 25 = 35

Therefore;

A(1) = $60

B(1) = $35

2. The values of A(7.5), and B(7.5) are;

A(7.5) = 60

B(7.5) = 10 × 7.5 + 25 = 100

A(7.5) = $60

B(7.5) = $100

3. The description of each data plan are;

Option A

The data plan of option A has a fixed charge of $60

Option B

The charges on the data plan on option B consist of a fixed monthly charge of $25, and $10 per gigabyte of data used.

4. Please find attached the graph of the functions of Option A and Option B. From the graph, the most affordable plan to use based on the data usage is;

Option B; If the data used a month, x < 3.5 gigabytes

Option A; If the data used a month, x > 3.5 gigabytes

Either Option A or Option B if the data usage per month is exactly 3.5 gigabytes

The amount the student budgets per month = is $50

By using Option B, we have;

B(x) = 10·x + 25 = 50

10·x = 50 - 25 = 25

x = 25 / 10 = 2.5

At $50, the amount of gigabytes the student can get is x = 2.5 gigabytes

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what is 2 divided by 1/3 equal

Answers

Answer:

6

Step-by-step explanation:

2 ÷ 1/3

= 2 x 3

= 6

Therefore, 2 divided by 1/3 equals 6.

Hoped this helped.

Answer:

6

Step-by-step explanation:

2          1

-      /    -

1          3

then you can use keep switch flip to make it

2/1 x 3/1

3x2 = 6

for a circle with the given circumference, c, fund the diameter of the circle. Round to the nearest whole number
C=44 in ​

Answers

Answer:14

Step-by-step explanation:

44/3.14(pie)=14.01

Which equation can be used to verify that 534 – 68 = 466?

Answers

Answer:

466 + 68

Step-by-step explanation:

We can easily check a subtraction problem with an addition problem.

Calculate the sum of the subtracted and the difference. If the sum is equal to the minuend in the original subtraction problem, the answer is correct.

Minuend - Subtrahend = Difference

466 + 68 = 534

The statement '534 – 68 = 466' is correct.

Hope this helps.

Answer:

68+566

Step-by-step explanation:

to tell if you have the right number or answer make sure if it's addition just subtract it and see what you get

Please solve on same Kind of coordinate plane. Thank you!

Please solve on same Kind of coordinate plane. Thank you!

Answers

Answer:

(0,8)

Step-by-step explanation:

Please solve on same Kind of coordinate plane. Thank you!

I have 1,792 Pokémon cards, I also have 7 friends. I want to split the cards between me and the 7 of them. How many cards should each person get? Does the answer of this question has a remainder? Solve and Explain how you got your answer

Answers

We can confirm that each person should receive exactly 224 Pokémon cards, and there won't be any cards left over.

To split the 1,792 Pokémon cards equally between 8 people, including yourself and your 7 friends, you need to divide the total number of cards by the number of people:

1,792 cards ÷ 8 people = 224 cards per person.

So each person should get 224 Pokémon cards.

However, we should also check if there is a remainder after the division. To do that, we can multiply the number of cards each person is getting by the number of people and subtract it from the total number of cards:

224 cards/person x 8 people = 1,792 cards

1,792 cards - 1,792 cards = 0 remainder

Since there is no remainder, we can confirm that each person should receive exactly 224 Pokémon cards, and there won't be any cards left over.

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Simplify the expression:
10v + -5 + 7

Answers

Answer:

10v + 2

Step-by-step explanation:

Answer:

10v + 2

Step-by-step explanation:

Ok, so when were adding varibles, whenever theres the same varible, we add them. In this case we have v and numbers. -5+7 is 2 because -5 and positive 5 cancel eachother out so were left with 2 from the 7. now the equation is 10v+2!


What is Earth's diameter, rounded to the nearest whole number?

Answers

Answer:

7918

Step-by-step explanation:

If you round Earth's diameter, I believe that it is 7,918 miles.

find the x-intercept and y -intercept 4x-7y=8​

Answers

Answer


X=2+7/4y

Y=-8/7+4/7x

Answer:

x- intercept = 2, y- intercept = - \(\frac{8}{7}\)

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

4x - 7(0) = 8 , that is

4x = 8 ( divide both sides by 2 )

x = 2 ← x- intercept

To find the y- intercept , let x = 0 in the equation and solve for y

4(0) - 7y = 8, that is

- 7y = 8 ( divide both sides by - 7 )

y = - \(\frac{8}{7}\) ← y- intercept

How do you write 0.3 as a fraction?

Answers

Answer:

3/10

Hope it helps

3/10 is the answer.

EXPLANATION:

0.1 - 0.10 is just #/10

Hope this helps, have a good day. Let me know if you have any questions.

strengths and limitations of visually interpreting histograms

Answers

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Need help asap, it's asking me to find m angle J and that K = 25.

Need help asap, it's asking me to find m angle J and that K = 25.

Answers

Answer:

j would be 130 cuz sides that are congruent have congruent angles so you add those two angles up and subtract from 180

Answer:

Step-by-step explanation:

x = 130

Base angles of isosceles triangles are congruent so angle L is also 25

There is 180 degrees in a triangle so you would do 25 + 25 + x = 180

then solve for x

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