Mathematics Middle School

A rectangular prism has a length of 12 in., a width of 5 in., and a height of 4 1/4 in.

The prism is filled with cubes that have edge lengths of 1/4 in.

How many cubes are needed to fill the rectangular prism?



Enter your answer in the box.

To fill the rectangular prism, how many cubes are needed.

Answers

Answer 1
The answer is ( total volume = 192 x 1/27 =192/27 =64/9) hope it helps and have a great day!
Answer 2

Answer:

64

Step-by-step explanation:

took the test

Related Questions

please help me



The perimeter of a rectangle is 141 feet, and the length is twice the width. What are the dimensions of the rectangle?

What's the width of the rectangle and what's the length?

Answers

Final answer:

To find the width and length of the rectangle, we used the perimeter formula and the given relationship between length and width. The width of the rectangle is 23.5 feet and the length is 47 feet, which are found by dividing the perimeter by the sum of the multipliers of width and then multiplying the width by 2 to find the length.

Explanation:

The student asked for help with finding the dimensions of a rectangle given its perimeter and a relationship between its length and width. To find the dimensions of the rectangle, we can use algebra.

Firstly, we know the formula for the perimeter (P) of a rectangle is P = 2l + 2w, where l is the length and w is the width. Since we are given that the perimeter is 141 feet and the length is twice the width (l = 2w), we can set up the following equation:

141 = 2(2w) + 2w

Simplifying the equation, we get:

141 = 4w + 2w
141 = 6w
w = 141 / 6
w = 23.5 feet

Since the length is twice the width, the length (l) is:

l = 2 × 23.5 feet
l = 47 feet

Therefore, the dimensions of the rectangle are a width of 23.5 feet and a length of 47 feet.

Barry’s mountain bike weighs 6 pounds more than andy’s. Their bike weigh 42 pound together . Write an equation that represent the sum of weigh altogether.

Answers

Hi there!

Let b equal the weight of Barry's mountain bike. Let a equal the weight of Andy's mountain bike. 

b - 6 + b = 42

Since Barry's mountain bike weighs 6 pounds more than Andy's, we can say that Andy's mountain bike weighs b - 6 pounds. Since both mountain bikes added together is 42 pounds, b - 6 + b would be equal to 42. 

Hope this helps!

Let f(x)=81+3e−0.7x .

What is the value of f(−3) ?



Round the answer to the nearest hundredth.

Answers

Answer:

[tex]f(-3)=91.25[/tex]

Step-by-step explanation:

Given :f(x)=81+3e−0.7x

To Find: Value of f(−3)

Solution:

[tex]f(x)=81+3e−0.7x[/tex]

Putting x = -3

[tex]f(-3)=81+3e−0.7*(-3)[/tex]

[tex]f(-3)=81+3e+2.1[/tex]

[tex]f(-3)=83.1+3e[/tex]

Since the defined value of e = 2.718

⇒[tex]f(-3)=83.1+3*(2.718)[/tex]

⇒[tex]f(-3)=83.1+8.154[/tex]

⇒[tex]f(-3)=91.25[/tex]

Thus the value of [tex]f(-3)=91.25[/tex]

Answer:

5.85

Step-by-step explanation:

classify the scatter plot as having a negative or no correlation. HOMEWORK DUE TOMORROW

Answers

It's negative. If it had no correlation then they would be all over the place, with this you can see a steady decline.

Expand. Your answer should be a polynomial in standard form. 3h(−h 2 +2h−1)

Answers

-3h^3+6h^2-3h

Please note that ^ indicates exponents

Answer: -18h^2+85h-18

Step-by-step explanation:

The equation d=60t gives the distance d (in miles) a car travels after t hours. Identify the independent and dependent variables.

Answers

independent variable: hours (t)

dependent variable:  distance (h)

The required d is the dependent variable and t is the independent variable.

What is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. It typically contains one or more variables, which represent unknown values.

In the equation, d=60t, t is the independent variable and d is the dependent variable. The value of d depends on the value of t, which is the amount of time the car travels, and hence is the independent variable.

Thus, d is the dependent variable and t is the independent variable.

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Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made
86 chocolate chip cookies and
42 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?

Answers

Answer:

2

Step-by-step explanation:

To be able to find the greatest number of identical packages that Shaquira will be able to make, we first need to find the prime factors of the Chocolate Chip Cookies and Sugar Cookies.

86 Chocolate Chip Cookies

42 Sugar Cookies

Let's take the 86 Chocolate Chip Cookies first.

[tex]86 \left \{ {{2} \atop {43}} \right.[/tex] or 86 = 2 x 43

Now let's take the Sugar Cookies.

[tex]42 \left \{ {{2} \atop {21\left \{ {{3} \atop {7}} \right. }} \right.[/tex] or

42 = 2 x 3 x 7

Now that we have the prime factors, we then look for the Greatest Common Factor between the sets of prime factors.

2 x 3 x 7 = 42

2 x 43     = 86

2  = Total number of identical packages.

Answer:

2

Step-by-step explanation:

Lines a and b are parallel. What is the measure of angle b? Enter your answer in the box. b = ∘ Two horizontal lines the top line labeled a and the bottom labeled b with an angled line intersecting both making eight angles, top right angle labeled seventy nine degrees and the bottom right angle labeled X degrees

Answers

Answer:

It's 79 I took the test

Stay Alive ~ T∅P I-/

Step-by-step explanation:

Answer:

The measure of [tex]m{\angle}b[/tex] is [tex]79^{\circ}[/tex].

Step-by-step explanation:

Given: Lines a and b are parallel to each other.

To find: The measure of the angle b.

Solution: It is given that  Lines a and b are parallel to each other, thus using the parallel lines properties, we have

[tex]m{\angle}a=79^{\circ}[/tex] (Vertically opposite angles)

Now, [tex]m{\angle}a[/tex] and [tex]m{\angle}b[/tex] forms the corresponding angle pair, thus they are congruent.

Hence, [tex]m{\angle}a[/tex]=[tex]m{\angle}b[/tex]=[tex]79^{\circ}[/tex].

Therefore, the measure of [tex]m{\angle}b[/tex] is [tex]79^{\circ}[/tex].

find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches

Answers

Minor base: b=19 inches
Height: h=12.6 inches
Major base: B=29.2 inches

Area of the trapezoid: A
A=(b+B)h/2
Replacing the values:
A=(19 inches + 29.2 inches) (12.6 inches) / 2
A=(48.2 inches) (12.6 inches) / 2
A= (607.32 inches^2 ) /2
A= 303.66 inches^2

Answer: The area of the trapezoid is 303.66 square inches

Order the sides or angles of the triangle from least to greatest

Answers

Sides:6.7,9.3,9.5

Tell me if that helps

a line inintersects at triangle at least once, but not at any of its vertices. What is the maximum number of sides that a line can intersect a triangle? similarly, a square? a convex quadrilateral? A quadrilateral , in general?

Answers

I think it's the quadrilateral in general

The table shows the membership of two scout troops.

a. What is the percent of change in membership from 2010 to 2011 for Troop A? Round to the nearest tenth of a percent, if necessary.

b. What is the percent of change in membership from 2010 to 2011 for Troop B? Round to the nearest tenth of a percent, if necessary.

c. Which troop has the better record in terms of the number of new members?

d. Which troop has the better record in terms of the percent of change in membership?

Answers

The correct answers are:

A) 14.3%
B) 14.3%
C) Troop B
D) They are equal.

Explanation:

A) The percent of change is given by:
[tex]\frac{\text{amount of change}}{\text{original amount}}\times 100[/tex]

For Troop A, the amount of change is 16-14=2; the original amount is 14. This gives us:
[tex]\frac{2}{14}\times 100=14.3 \%[/tex]

B) The amount of change for Troop B is 24-21=3; the original amount is 21. This gives us:
[tex]\frac{3}{21}\times 100=14.3\%[/tex]

C) Troop A gained 2 more members, while Troop B gained 3; Troop B gained more new people.

D) Since the percent of change for each troop was equal, they both had an equal record in terms of percentage of new members.

Answer:

a. What is the percent of change in membership from 2010 to 2011 for Troop A?

[tex]\frac{16-14}{14}*100[/tex] = 14.28%

b. What is the percent of change in membership from 2010 to 2011 for Troop B?

[tex]\frac{24-21}{21}*100[/tex] = 14.28%

c. Which troop has the better record in terms of the number of new members?

Troop B.

d. Which troop has the better record in terms of the percent of change in membership?

Both have the same percentage change.

can someone help me with this

Answers

Volume= (4/3)(3.14)(r)^3

You already know what pi is, so figure out what the radius is.

Radius= diameter divided by 2

When you get your answer, substitute that for “r”, and then raise it to the third power, then multiply that by 3.14

Multiple your answer by 4, then divide by 3 and that should be your answer

Don’t forget to round.

I hope this was helpful

which of the following sets of numbers will form a right triangle A. 12,13,14 B. 15,16,18 C. 5,6,9 D.5,12,13

Answers

Your answer would be D i’m sure

what are alternate interior angles??

Answers

Alternate interior angles are those which are on the inside of the parallel line and are alternate to eachother. 

hope this helps :)

convert 35/8 to a decimal using long division

Answers

first take 35 and put it in the house. 8 goes into 3, 0 times. 8 goes into 35, 4 times . 35 - 32 = 3 add 0. 8 goes into 30, 3 times. 30 - 24 = 6 add 0. 8 goes into 60, 7 times 60 - 56 = 4 add 0. 8 goes into 40, 5 times 40 - 40 = 0. therefore the answer is 4.375

Find the product of (3x + 7y)2. 9x2 − 42xy + 49y2 9x2 − 49y2 9x2 + 49y2 9x2 + 42xy + 49y2

Answers

using(a+b)^2 = a^2 + 2ab = b^2

so

(3x + 7y)^2
= 9x^2 + 42xy + 49y^2

answer
9x^2 + 42xy + 49y^2

Answer:

[tex]9x^{2}+42xy+49y^{2}[/tex]

Step-by-step explanation:

we know that

[tex](a+b)^{2}=a^{2}+2ab+b^{2}[/tex]

In this problem we have

[tex](3x+7y)^{2}[/tex]

so

[tex]a=3x[/tex]

[tex]b=7y[/tex]

substitute

[tex](3x+7y)^{2}=(3x)^{2}+2(3x)(7y)+(7y)^{2}[/tex]

[tex]=9x^{2}+42xy+49y^{2}[/tex]

If a scientist knows the relative age of a fossil, he can also know A. the type of climate from which it came. B. the relative age of the rock where it was found. C. how it became extinct. D. how long the organism was alive. 
its science but it made me pick math

Answers

B is your answer to the question!

Answer:

the relative age of the rock where it was found.

Explanation:

Study Island


Which expressions are equivalent to 3(x + 3y + 2x − y )?
3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y


HELP ASAP

Answers

3(3x+2y) and 9x+6y.....

Hello,

The correct answer is A) 3(3x + 2y) and 9x + 6y

Hope this helps!!!! (:

Use a strategy to solve this problem. (Note: I seriously need help and this is due on Sunday!!)

Ian is given some red licorice that is wrapped in a coil. Upon flattening the licorice, Ian discovers that the total length is 60 cm. He then cuts the licorice into two pieces so that the ratio of the lengths of the two pieces is 7:3. Each piece is then bent to form a square. What is the total area of the two squares?

Answers

You may feel somewhat overwhelmed right now, because this question is giving the reader lots of information and tasks in a short paragraph. Let's break it down into pieces.

1. First, let's find the ratio of the lengths.

Since the ratio is 7 to 3, we can find the length of each licorice piece by setting its proportion over 10, since that is the sum of the ratio. Thus, one licorice piece has a length of 60 * 7/10 = 42 cm and the other has a length of 60 * 3/10 = 18 cm.

2. Now, let's create our squares.

Each piece is bent to form a square. In other words, the pieces is split into 4 equal sides. Thus, we can divide our lengths by 4. The first piece of licorice made into a square has side lengths of 42/4 = 10.5 cm. The second piece of licorice has side lengths of 18/4 = 4.5 cm.

3. Finding the area of our squares.

Now, all we need to do is find the sum of the areas of the squares. The first square has an area of [tex]10.5^2 = 110.25[/tex] cm^2 and the second square has an area of [tex]4.5^2 = 20.25[/tex] cm^2. Thus, our answer is 130.5 cm^2.

Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger, gives 144. Find the numbers.

Answers

Let
x-------------> first odd number 
x+2----------> second consecutive odd number

we know that
seven times the smaller, subtracted from nine times the bigger, gives 144

then
9*(x+2)-7*x=144-----------> 9x+18-7x=144---------> 2x=126-----> x=63

the numbers are
63 and 65

The smaller odd number is 63, and the next consecutive odd number is 65.

To find the consecutive odd numbers, an algebraic equation is set up and solved, yielding the smaller odd number as 63 and the next consecutive odd number as 65.

To find two consecutive odd numbers meeting the stipulated condition, we will set up an algebraic equation. Let the smaller odd number be represented by n, then the next consecutive odd number is n + 2. The given condition is that seven times the smaller odd number subtracted from nine times the bigger odd number equals 144. This can be expressed as the equation 9(n + 2) - 7n = 144.

Solving the equation:

Expand the equation: 9n + 18 - 7n = 144Combine like terms: 2n + 18 = 144Subtract 18 from both sides: 2n = 126Divide both sides by 2: n = 63

Therefore, the smaller odd number is 63, and the next consecutive odd number is 65.

Members at a yoda school pay $11 per class plus a one-time $96 membership fee. Non members pay $14 per class. How many classes would a member have to take to save money compared to taking classes as a non-member?

Answers

The difference in pay per class is 3, so to even out with he 96, you’d have to take 32 classes, the profit begins at the 33rd
Hope this helps

2. Jamie is the starting pitcher for his baseball team. The coach recorded the number of pitches he threw in one game. Each pitch is either a ball, strike or hit. The coach recorded that 54 pitches, or 60%, were strikes. What is the total number of pitches that Jaime threw in this game?

Answers

90, because 60% of 90 is 54

Answer:

90

Step-by-step explanation:

:)

Sam owns a small business. There was a loss of $16 on Thursday and a loss of $9 on Friday. On Saturday there was a loss of $5, and on Sunday there was a profit of $27. Find the total profit or loss for the 4 days.

Answers

there was a loss of $3 for the 4 days
Profit - Total Loss = profit

27 - (16 + 9 + 5) = -3

Sam Lost $3 (or Sam Earned -$3)

Consider a 15-year mortgage at an interest rate of 8% compounded monthly. The amount to be mortgaged is $130,000. After the first month's payment, what is the new outstanding principal?

Answers

The answer is $129,624.32
Final answer:

To find the new outstanding principal after the first month's payment on a 15-year mortgage at an 8% interest rate compounded monthly, we calculate the monthly interest and subtract it from the original principal.

Explanation:

To find the new outstanding principal after the first month's payment, we need to calculate the monthly interest and subtract it from the original principal. Here are the steps:

Convert the annual interest rate to a monthly rate by dividing it by 12: 8% / 12 = 0.67%.Convert the mortgage amount to a decimal: $130,000Calculate the interest for one month: $130,000 × 0.67% = $871.67Subtract the interest from the original principal: $130,000 - $871.67 = $129,128.33

Therefore, the new outstanding principal after the first month's payment is $129,128.33.

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4w^3−8w+12
factor the polynomial

5t^2+20t+50
factor the polynomial



Answers

4w^3−8w+12 = 4 (w^3 - 2w + 3)

5t^2+20t+50 = 5 (t^2 + 4t + 10)

4/7x = 64
Answer for x

Answers

x = 112  

                      

This is because

4/7x = 64 

7/4 x 4/7 = 64/1 x 7/4                        

1x= 448/4                                           

x = 112                          
Hey there!

To solve this, divide 64 and 4/7 . . .

64 = 64/1

4/7 = 4/7

64 x 7 = 448

1 x 4 = 4

Simplifying 448/4 . . .

448/4 = 112 <--------

112= x
x = 112

Hope this helps you.
Have a great day!

IF Mary had 500.004 in the bank and earns an annual interest rate of 2%, how much will she earn in one year?

Answers

0.02*500.004 = 10.00008

Mary's account would be credited with $10.00 interest for the year.

the diagram shows the shape of the green of a miniature golf hole. what is the area of the green?

Answers

To answer this you will find the areas of the trapezoid and the parallelogram separately. You will add them together to get the total area of the green. You could put this all together as one equation too! The answer is 100 square feet. Please see the attached work.

The area of green of golf course can be found by summing the area of pieces like that given rectangles and triangles.

The resultant area of the green of the golf course is given by:

100 sq. feet

Composing the area:

You have to calculate the area of those smaller pieces to find the total area of the green of the golf course.

Total area = sum of area of trapezoid and  parallelogram.

The trapezoid in left of figure has height of 4 feet and parallel sides of 8 feet and 12 feet respectively.

Thus:

Area of trapezoid = [tex]\dfrac{1}{2}.\text{sum of parallel sides} \times height[/tex]

Area of trapezoid = [tex]\dfrac{1}{2}.4.(12+8) = 40 \: \rm feet^2[/tex]

The parallelogram on left has height 4 feet and base is of 15 feet.

Thus:

Area of parallelogram = [tex]\text{base} \times \text{height}[/tex] = [tex]4 \times 15 = 60 \: \rm feet^2[/tex]

Thus,

Total area = 40 + 60 = 100 sq. feet.

The resultant area of the green of the golf course is given by:

100 sq. feet

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does the orders pair (2,14) lie on the graph of y=12x?

Answers

If y=12x, the y coordinate should be 12 times the x coordinate. If x = 12, y should = 24. This is not the case in our ordered pair, therefore, the ordered pair does not fit into our equation.
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