A rectangular prism has a
length of 2 1/2yd, a width of 1 1/2yd, and a height
of 1 1/2yd. You use cubes with fractional edge
lengths of 1/2 yd to find the volume. How many
cubes are there for each of the length, width,
and height of the prism? What is the volume of
the prism?

Answers

Answer 1

Step-by-step explanation:

we need 2 1/2 × 2 = 5 cubes along the length.

1 1/2 × 2 = 3 cubes along the the width.

and 1 1/2 × 2 = 3 cubes along the height.

altogether we need

5×3×3 = 45 cubes

and the volume is

2 1/2 × 1 1/2 × 1 1/2 = 5/2 × 3/2 × 3/2 = 45/8 = 5 5/8 yd³

Answer 2

There are 96 cubes are there for each of the length, width, and height of the prism.

The volume of a rectangular prism is 12 yd³.

What is the prism?

A prism is a three-dimensional solid object in which the two ends are identical. It is the combination of flat faces, identical bases, and equal cross-sections.

A rectangular prism has a length of 2 1/2yd, a width of 1 1/2yd, and a height

of 1 1/2yd.

length 2 1/2 and half yd​ = 2 1/2+ (1/2) yd = 5/2 + 1/2 = 6/2= 3 yd

Width 1 1/2 and half yd​ = 1 1/2 + (1/2) yd = 3/2 + 1/2 =  (4/2) = 2 yd

Height 1 1/2 and half yd = 1 1/2 + (1/2) yd = 3/2 + 1/2 =  (4/2) = 2 yd

Cubes of edge length (1/3) yd are used to fill the rectangular prism.

The length would contain (3) ÷ (1/2) = 6

The width would contain (2) ÷ (1/2) = 4

The height would contain (2) ÷ (1/2) = 4

How many cubes are there for each of the length, width, and height of the prism?

6 × 4 × 4 = 96 cubes

There are 96 cubes are there for each of the length, width, and height of the prism.

What is the volume of the prism?

The volume of rectangular prism = 3 × 2 × 2 = 12

The volume of a rectangular prism is 12 yd³.

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Related Questions

What is the surface area?
5 m
7 m
4 m
140 m squared
16 m squared
166 m squared
156 m squared

Answers

140 m squared is the surface area.

Answer:

166 m²

Step-by-step explanation:

Surface Area

2(length x breadth) + 2(length x height) + 2(breadth x height)2(7 x 4) + 2(7 x 5) + 2(4 x 5)2(28) + 2(35) + 2(20)56 + 70 + 40110 + 56166 m²

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

4536.459792... ft^2 or 1444pi ft^2

Step-by-step explanation:

Surface area of a sphere

A = 4 x pi x r^2

Since we have the diameter we can divide that by two to get the radius

38/2 = 19

Then we plug the digits we have into the equation

A = 4 x pi x 19^2

A = 4536.459792... or 1444pi

Write the equation of each line in slope‐intercept form.

Answers

Answer:

y = -x +4

Step-by-step explanation:

Hi there!

We are given the equation of a line, and we want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y-intercept

First, we need to find the slope of the line

The slope (m) can be calculated from 2 points, using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

First, let's find 2 points on the line:

The intercepts - the points where the line hits the x and y axis are a good place to start; the intercepts of this line are (4,0) and (0, 4), which will also work for calculating the slope

Let's label the values of these 2 points to avoid any confusion and mistakes when calculating.

[tex]x_1=4\\y_1=0\\x_2=0\\y_2=4[/tex]

Substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{4-0}{0-4}[/tex]

Subtract

m=[tex]\frac{4}{-4}[/tex]

Divide

m = -1

The slope of the line is -1

We can substitute that into our equation:

y = -x + b (when -1 is the leading coefficient, only adding a minus sign in front of the variable will suffice)

Now we need to find b

As said earlier, b is the value of y at the y intercept

The point of the y intercept is (0, 4), and the value of y at this point is 4

So substitute 4 as b into the equation

y = -x + 4

Hope this helps!

A veterinary clinic saw 45 pets on Monday. The shaded squares in the grid below represent the 60% of pets
seen on Monday that were dogs.
How many dogs were seen at the clinic on Monday?
25
15
27
18

Answers

Answer: 27 dogs were seen at the clinic on monday.

27/45 = 0.6

0.6 = 60%
27 dogs were seen on Monday

Which statements about the value of the digits in the number 6,666,666 are true?

Select each correct answer.


The digit in the thousands place is 16 the value of the digit in the ten thousands place.


The digit in the hundred thousands place is 110 the value of the digit in the millions place.


The digit in the ten thousands place is 10 times the value of the digit in the thousands place.


The digit in the hundreds place is 60 times the value of the digit in the tens place.

Answers

Answer:

B. The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.

C. The digit in the ten thousands place is 10 times the value of the digit in the thousands place.

Hope this helps !

Step-by-step explanation:

HELPPP FAST PLEASE

The chord BC is a diameter of OO.
C
.
O A. True
O B. False
0
B

Answers

Answer:

A. True

Step-by-step explanation:

Given:

O is the center of the Circle

Chord BC is the line segment passing from the center of circle

Chord: It is a line segment whose end points lies on the circle.

Diameter: It is defined as a line segment passing from the center of the circle whose end point lies on the circle.

Hence chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle.

Hence the statement is TRUE

Yes, The chord BC is a diameter of circle C.

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

We have to given that;

To check The chord BC is a diameter of circle C.

Now, WE know that;

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Here, The line segment BC is passing through the center O.

Hence, The chord BC is a diameter of circle C.

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The diameter of a circle is 2 inches. What is the circle's area?
d=2 in

Answers

Answer: 1pi or 3.14

Step-by-step explanation:

The equation for finding the area of a circle is [tex]\pi r^2[/tex]since the radius is half of the diameter [tex]r=1[/tex]. Since r squared is also 1, the next thing you need to do is plug one into the equation, which, when solved, leaves you 1pi or 3.14.

I hope this helps!

Step-by-step explanation:

this is how you solve it :)

If a scale dilates a two-dimensional object by a factor of 2/3  it means that …

a.
the image is one-and-a-half times smaller than the object

b.

the image is two units big, while the object is three units big

c.

the object is half the size of the image

d.

the object is two-thirds the size of the image

Answers

d. the object is two thirds the size of the image

here’s an example of a dilation by 2/3

Write the expression as a single natural logarithm.

2 ln a – 4 ln y

Answers

Answer:  [tex]\ln\left(\frac{a^2}{y^4}\right)[/tex]

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

Explanation:

I'll be using these log rules

Blog(A) = log(A^B)log(A) - log(B) = log(A/B)

which I'll refer to as "rule 1" and "rule 2" respectively. There are other log rules, but we only need to use these two for this particular question.

Here's how the steps could be laid out:

[tex]2\ln\left(a\right)-4\ln\left(y\right)\\\\\ln\left(a^2\right)-\ln\left(y^4\right) \ \text{ ... use rule 1}\\\\\ln\left(\frac{a^2}{y^4}\right) \ \text{ ... use rule 2}\\\\[/tex]

Side note: The first letter of "ln" is a lowercase L, and not an uppercase i

What is a black hole?
A. A massive cluster of stars and other matter.
B. A star that has collapsed under its own gravity.
C. The opposite of a star, it is a hole in space that sucks in light and matter.
D. A dense cloud of dark energy; scientists still have not found a real one.

Answers

Im pretty good with space so your answer would be C

A coin is tossed 3 times and the outcome of heads or tails recorded for each toss. This is repeated until there have been 3 coin tosses 30 times. This list shows the results.

HTT, HHH, HTH, THT, THH, THH,THT, THH, THT, HHT, TTH, HHT,HHH, TTT, HHT, THH, HTT, HHH,HHH, THT, HTT, HHT, HTH, THH,THH, HTT, THH, TTH, HTT, TTT

According to this data, what is the experimental probability of getting exactly 2 tails out of 3 coin tosses? Select from the drop-down menu to correctly complete the statement. The experimental probability of getting exactly 2 tails is Choose... %.

30%
35%
40%
45%

Answers

Answer:45% ??

Step-by-step explanation: you have a higher chance of getting heads than tails


i dont really know the answer


Answer:

I believe it would be 30%

Step-by-step explanation:

If we look through the list of coin flips for each time there is a group (of 3) that has 2 tails and 1 heads, we would find that there are 10 groups.

So to solve this we can simply divide 10 (the amount of groups with 2 tails) by 30 (the total amount of groups) which gives us 33.333%. Now this isn't really an exact answer, but it is closer to 30% than it is to 35% so it would probably be safe to say that we could round down.

Hope this helps! -SC

help me pleaseeeeeeeeeeeeeeeeeeeeee

Answers

There is 165 Employees in total

Answer:

165

Step-by-step explanation:

If the ratio is (m->w) 4:7 and there are 105 women, there are 60 men. Add these together to get the total: 165.

The length of one board is 2 feet 10 inches, and the length of the other board is 1 yard 1 foot 9 inches..What is the total length of the two boards put together...Simplify the answer

Answers

7 ft 5 in I need to type to give you an answer

Suppose that the relation H is defined as follows.
H={(5,0),(-8,6), (5,3), (7-8)
Give the domain and range of H.
Write your answers using set notation.
domain = 1
range = 0
Х
What is the domain and range?

Answers

Answer:

the relation is given as a set of ordered pairs.

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates

help please please please​

Answers

Step-by-step explanation:

Correct option is A)

Let Q(h,k) be the image of P(3,3) w.r.t the line mirror x+y=0

a

h−p

=

b

k−q

=

a

2

+b

2

−2×(ap+bq+c)

1

h−3

=

1

k−3

=

2

−2(6)

⇒h−3=k−3=−6

⇒h=−3,k=−3

So, the image is Q(−3,−3).

In the second transformation, point Q is translated horizontally 3 units to the left and vertically 3 units up.

So, the coordinates of new image is (−3−3,−3+3) i.e. (−6,0)

In the third transformation, point (−6,0) is reflected w.r.t the line y=x

So, the final image is (0,−6).

Was this answer helpful?

Determine the value of x.
x = 9
All of these
None of these
x = 5 1/3
x = 20 1/3

Answers

Answer:

Step-by-step explanation:

56 = 6x+2

54 = 6x

54/6 = 9

X = 9

Opposite angles are equal

6x+2=566x=54x=9

Option A

-3 ( 10 - 5v) - 10v

Explain

Answers

Answer:

- 30 + 5v

Step-by-step explanation:

- 3(10 - 5v) - 10v ( multiply each term in the parenthesis by - 3 )

= - 30 + 15v - 10v ← collect like terms

= - 30 + 5v

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - 3(10 - 5v) - 10v[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 30 + 15v - 10v[/tex]

[tex]\qquad \sf  \dashrightarrow \:5v - 30[/tex]

so, the equivalent expression is 5v - 30

What is the value of 0.6 - (0.7)(1.4)

Answers

Answer:

-0.38

Step-by-step explanation:

0.6-(0.7)(1.4)

0.6-0.98

-0.38

The figure shows a line graph and two shaded triangles that are similar​

Answers

Answer:

we know that

the equation for calculating the slope of a line is

m=(y2-y1)/(x2-x1)

look for any two points on the graph

let

A(0,0)

B(3,1)

m=(1-0)/(3-0)------> m=1/3

the slope  is 1/3 throughout the line

therefore

the answer is the option

B-It is 1/3 throughout the lineStep-by-step explanation:

The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.

Answers

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

2

y

=

54

2

y

this gives

2

x

=

54

2

y

Divide both sides by 2

(

2

x

2

)

=

54

2

y

2

This gives.

x

=

27

y

putting this value into the second equation gives.

(

27

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

y

2

=

176

subtracting 176 from both sides gives

is

27

y

y

2

176

=

0

multiplying by negative one gives

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

11

)

×

(

y

16

)

=

0

Solving for both y's gives

y

=

11

,

y

=

16

if logb10=2.303, then logb1/10 =

Answers

[tex]\log_b\left( \dfrac 1{10} \right)\\\\=\log_b 1 - \log_b 10\\\\=0-2.303\\\\=-2.303[/tex]

How to write 2/9 as a decimal?

Answers

[tex]\large\textsf{Hey there!}[/tex]


[tex]\large\textbf{How do you convert a fraction to a decimal?}[/tex]

[tex]\bullet\large\text{ To put it easier to understand DIVIDE the numerator \& denominator}\\\\\large\text{ from each other and solve!}[/tex]


[tex]\large\textbf{How will we answer it?}[/tex]

[tex]\rm{\dfrac{2}{9}}[/tex]

[tex]\rm{= 2\div 9}[/tex]

[tex]\rm{= 0.22222222}[/tex]

[tex]\rm{\approx 0.22}[/tex]


[tex]\large\textbf{Here is a basic formula for converting fractions to decimals:}[/tex]

[tex]\rm{\dfrac{a}{b}\rightarrow a \div b \rightarrow c}[/tex]


[tex]\large\textbf{What is the answer?}[/tex]

[tex]\large\boxed{\mathsf{0.22222222}}\large\checkmark[/tex]


[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphirite1040:)}[/tex]

A fraction, like 2/9, has a numerator and a denominator separated by a dividing line.

2 is the numerator, because it is the number above the dividing line.

9 is the denominator because it is the bottom number of the dividing line.

To convert 2/9 to a decimal, divide the numerator by the denominator.

[tex] \bold{2 ÷ 9 ≈ 0.222222 ⇒ Answer}[/tex]

The diagram shows an electric motor. S N Which series of energy transformations occurs in the electric motor? O A. Electrical energy Chemical energy Mechanical energy​

Answers

Answer:

electrical → mechanical

Step-by-step explanation:

i dont know if thats what answer format you need but i feel like thats right


We can’t understand how to find the pattern

Answers

Answer:

Pattern: subtract 2 from the input to get the output

When the input is 9, the output is 7

When the input is 13, the output is 11

Step-by-step explanation:

» Application + Solution

To find the pattern, we have to look for common things we notice between the input and output.

After analyzing, we can surely notice that we subtract two from the input each time to get the output because 3 - 2 = 1, 8 - 2 = 6, 15 - 2 = 13, and 20 - 2 = 18.

Now that we realized the pattern, we subtract 2 from 9 and 13.

9 - 2 = 713 - 2 = 11

2 Find the mode and median from the following numbers 5,8, 6, 9, 7, 4, 10, 2, 5, 9, 0, 1, 6,9​

Answers

Answer:

MEAN=81/14                             MODE=6

Step-by-step explanation:

MEAN:

(5+8+6+9+7+4+10+2+5+9+0+1+6+9)/14=81/14

MODE: 6=middle number

Matrix A is added to matrix B what is the value of W in the new matrix?

Answers

The answer is -10

Explanation: -9+(-1)=-10

What does the notation​ P(B|A) mean? Question content area bottom Part 1 Choose the correct answer below. A. The probability of event B​ occurring, given that event A has occurred B. The probability of event B​ occurring, divided by the probability of event A occurring C. The probability of event A​ occurring, given that event B has occurred D. The probability of both event A and event B occurring

Answers

Answer:

A.  The probability of event B​ occurring, given that event A has occurred

Step-by-step explanation:

Conditional probability

A probability is conditional if is depends on what has already happened.

The probability that event B happens, given that event A has already happened is "B given A" or P(B | A)

Therefore, P(B | A) means "The probability of event B​ occurring, given that event A has occurred"

Additional information:

P(A | B) means "A given B", i.e. the probability of event A​ occurring, given that event B has occurred

P(A ∩ B) means the probability of event A and event B both happening.

The state tax is 8%. Calculate how much you will pay in taxes on the kyrie 5.

Answers

How much does the Kyrie 5 cost?

Ten sixth grade students recorded the amounts of time each took to travel to school. The dot plot shows their travel times.

a. Which number of minutes—9 or 4.2–is a typical amount of time for the ten sixth grade students to travel to school? Explain your reasoning.

b. Based on the mean and MAD, Jada believes that travel times between 5 and 13 minutes are common for this group. Do you agree? Explain your reasoning.

c. A different group of ten sixth grader students also recorded their travel times to school. Their mean travel time was also 9 minutes, but the MAD was about 7 minutes. What could the dot plot of this second data set be? Describe or draw how it might look.

Answers

Answer:

A is 9 and B is yes

Step-by-step explanation:

1. How many cubic feet are in 3 cubic yards?​

Answers

The answer is: 81 cubic feet:)
Explanation:
I just did it
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