Marissa claims that stacking 6 blocks with dimensions of 5x1x1 will give the same volume as stacking 9 blocks with

dimensions of 1x1 Which statements about her claim are true? Check all that apply.

A. Six of the one half cubes would have a volume of 3 cubic units.

B. Nine of the one-third cubes would have a volume of 6 cubic units.

C. Since 1/2 and 1/3 do not have common factors, stacks of one-half cubes and stacks of third cubes could never have the same

volume.

D. Three of the one-third cubes will make 1 unit cube.

E. Two of the one-half cubes will make 1 unit cube.

F. Both stacks will have a volume of 3 cubic units.

Answers

Answer 1

Answer:

The statements that are true

A.) Six of the one half cubes would have a volume of 3 cubic units.

D.) Three of the one-third cubes will make 1 unit cube.

E.) Two of the one-half cubes will make 1 unit cube.

F. Both stacks will have a volume of 3 cubic units.

Step-by-step explanation:

Complete, Correct Question

Marissa claims that stacking 6 blocks with dimensions of (½×1×1) will give the same volume as stacking 9 blocks with

dimensions of [(1/3)×1×1] Which statements about her claim are true? Check all that apply.

Before checking the statements, we first find the volume of both cars of blocks

Volume of a cuboid block = lbh

For block A, volume = (1/2) × 1 × 1 = (1/2) cubic units

6 block A's will have a volume of 6 × (1/2) = 3 cubic units.

For block B, volume = (1/3) × 1 × 1 = (1/3) cubic units

9 block B's will have a volume of 9 × (1/3) = 3 cubic units.

Now checking the statements one at a time

A. Six of the one half cubes would have a volume of 3 cubic units.

As calculated above, this is true.

B. Nine of the one-third cubes would have a volume of 6 cubic units.

This is false. 9 of the one-tailed cubes has a volume of 3 cubic units too not 6 cubic units.

C. Since 1/2 and 1/3 do not have common factors, stacks of one-half cubes and stacks of the two cubes could never have the same volume.

From the calculation before analysing the statements, the two stacks mentioned had the same total volume of 3 cubic units. Hence, it shows this statement is false.

D. Three of the one-third cubes will make 1 unit cube.

3 one-third cubes will have a volume of

3 × (1/3) = 1 cubic unit. This statement is true.

E. Two of the one-half cubes will make 1 unit cube.

2 one-half cubes will have a volume of

2 × (1/2) = 1 cubic unit. This statement is true.

F. Both stacks will have a volume of 3 cubic units.

From previous calculation before analysing the statements one at a time, this is true. The total volume of both stacks mentioned today is 3 cubic units.

Hope this Helps!!!


Related Questions

Please answer correctly !!!! Will mark BRAINLIEST !!!!!!!

Answers

Answer:

g(n) = [tex]\frac{11+5n}{3}[/tex]

Step-by-step explanation:

Given

3m - 5n = 11

Rearrange making m the subject

Add 5n to both sides

3m = 11 + 5n ( divide both sides by 3 )

m = [tex]\frac{11+5n}{3}[/tex] , thus

m = g(n) = [tex]\frac{11+5n}{3}[/tex]

What is the sum?

-5 + (20) =

Answers

Answer:

15

Step-by-step explanation:

-5+20=20-5

15

a triangle has an area of 29.7 cm^2 and a base of 13.5 cm. Use the formula A= 1/2bh to find the height.

A. h = 4.4 cm

B. h = 4.1 cm

C. h = 4.2 cm

D. h = 4.7 cm

Answers

Answer:

A

Step-by-step explanation:

A=hbb

2

Solving forhb

hb=2A

b=2·29.7

13.5≈4.4

Which shows the correct substitution of the values ab and c from the equation 0 = - 3x ^ 2 - 2x + 6 into the quadrati formula?

Answers

The answer would look something like this:

[tex]\frac{2+-\sqrt{2^{2}-4(-3)(6) }}{2(-3)}[/tex]

There could also have a simplified version.

I hope this helps.

4(x + 6) = 32 What is x?

Answers

Answer: x = 2

Step-by-step explanation: To solve this equation, we start by distributing the 4 through the parentheses on the left side.

So we have 4(x) which is 4x and 4(6) which is 24.

So our equation now reads 4x + 24 = 32.

Solving from here, we subtract 24 from both sides to get 4x = 8.

Then divide both sides by 4 to get x = 2.

X = 2
is the answer.

Which expressions simplify to a rational answer?
Select each correct answer

Answers

Answer:

first and last one

Step-by-step explanation:

first one would be 12 and last one is 10

Which equation is represented by the graph below?

Answers

Answer:

Option 3 y=ex-3 hoping this helps

This photograph shows US. residents at an internment camp during World War Il Many of these people had been residents of what
state?
A)
Texas
B
Florida
New York
California
Submit

Answers

Answer:

Somebody answer hurry i also need help

Step-by-step explanation:

Answer:

yo give me da pic >:3

Step-by-step explanation:

Need the answer to this one please

Answers

The answer is A.

I used a graphing calculator.

Answer:

the first one

Step-by-step explanation:

slope: use rise-over-run theorem. the slope of the graph rises -2 for every 1 unit over, so slope is -2x

intercept: the line crosses the y-axis at y=3, hence +3

put it together: y=-2x+3

If sin a-b =1/2 and cos a+b =1/2 Find a and b

Answers

Answer:

[tex]a = \frac{1}{2} [/tex]

[tex]b = 0[/tex]

Step-by-step explanation:

[tex]a - b = \frac{1}{2} \\ a + b = \frac{1}{2} \\ \\ a - b + a + b = \frac{1}{2} + \frac{1}{2} \\ a + a = \frac{2}{2} \\ 2a = 1 \\ \frac{2a}{2} = \frac{1}{2} \\ a = \frac{1}{2} [/tex]

[tex]a + b = \frac{1}{2} \\ \frac{1}{2} + b = \frac{1}{2} \\ b = \frac{1}{2} - \frac{1}{2} \\ b = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!!

Solve the equation for y: -8x + 4y = 20
es
A)
y = 2x - 5
B)
y = 2x + 5
)
y= {x+5
yox=20
D)

Answers

Answer:

Step-by-step explanation:

4y = 20 + 8x

y = 5 + 2x

Answer:

Option B

Step-by-step explanation:

-8x + 4y = 20

[tex]-8x+8x+4y=20+8x \leftarrow \text {Addition Property of Equality.}\\4y=20+8x\\\\\frac{4y}{4}=\frac{20+8x}{4} \leftarrow \text {Division Property of Equality.}\\y=5+2x\\\boxed {y=2x+5}[/tex]

Option B should be the correct answer.

What is the minimum of the following set of data? 6.6, 5.2, 5.3, 6.1, 7.4, 5.9, 6.3

Answers

Answer:

5.2

Step-by-step explanation:

Multiply. Write the result in the scientific notation.(1.1•10^-5)(3•10^-2)

Answers

Answer:

Step-by-step explanation:

please help! im desperate :))

Answers

Answer:

1a) C, D, E   is over 600 cubic inches.

1b) x4.8 greater  The sphere is x4.8 greater than the first cone.

Step-by-step explanation:

A) Smaller Right cylinder V≈565.49   cubic inches

B) Smaller cone V≈188.5  cubic inches

C)  Cylinder right prism V≈1696.46  cubic inches

D) Right circular cone V≈565.49     cubic inches

E ) Sphere V≈904.78 cubic inches

1b) Volume of sphere/volume of smaller cone

is 904.78/188.5=  4.7998938992  =  x4.80 greater.

I need help PLZ!
I'm not too sure if I got the right answers or not.
I put, > < > > > (left to right). Is this right?

Answers

Answer:

yee

Step-by-step explanation:

yee

Which net matches the figure?

Answers

In the first image, notice that the figure is a cube

also known as a "square prism."

Since a cube is composed of square bases, we

want to find a net that is composed of all squares.

Notice that the option of the bottom left is composed of squares.

So this net matches the figure.

Answer: is number one

Step-by-step explanation: well 1 ,i  took a test , 2 just imagin your folding it . have a nice day

PLEASE HELP‼️
42 cm
What is the value of x?
6 cm
Enter your answer in the box.
36 cm
cm

Answers

Answer:

x = 7

Step-by-step explanation:

The two triangles are similar by AA similarity.

6 : 36 = x : 42

1 : 6 = x : 42

x = 7

Answer:

Answer would be 7.

Step-by-step explanation:

noun phrase
verb phrase
adverbial phrase
Sentence
We worked on the framework for a very long time.
He has been playing the cello at schools for ages.
Fen people understood Michelle's exaggerated explanation.

Answers

Answer:

1.) Verb phrase

2.) Noun phrase

3.) Adverbial phrase

Tay recorded the number of imported cars that drove by his house during rush hour. He collected data for 5 working days. Taye’s sister Tiffany determined that an average of 15 imported cars drove by their house. Which cannot be a cause of the variation in Taye’s and Tiffany’s estimates?

A. Taye and Tiffany collected their data in different locations.

B.Taye and Tiffany collected their data during different weeks.

C. Taye and Tiffany collected their data in different locations.

D. Taye’s and Tiffany samples were not random samples.

Answers

Answer: D

Step-by-step explanation:

because

Answer:

D

Step-by-step explanation:

Help!!!
Explain to Noah Clue why the following logarithmic properties are true. Be sure to demonstrate with examples and explain it well enough so that Noah could relay the information to Atta Loss with authority.
log (a•b) = log (a) + log (b)
b
log (a ) = b•log (a)

Answers

Option a is true {log(a.b)}=log(a) +log(b)

f(x)=x/2-3 and g(x)=3²+x-6 find (f+g)(x)

Answers

Answer: X=3

Step-by-step explanation:

Can one please help me with this question

Answers

Answer:

254.34 cm^2

Step-by-step explanation:

Volume of cylinder = [tex]\pi r^{2} h[/tex]

We know that the diameter is 6, which means that the radius is 3 cm.

Now, it also tell us that that the height is triple the radius, this means that we multiply it by 3. Therefore, the height is 9 cm.

Now we know r = 3 cm and h = 9 cm, pi is assumed to 3.14 as well.

Substituting into the formula we will end up with 254.34 cm^2.

254.34
Is the answers

please answer this ASAP​

Answers

Answer:

Step-by-step explanation:

Area of circle = πr²  = 15 m²

Volume of Cylinder = πr²h

                                = 15 * 3

                                = 45 m³

Volume of Cone = (1/3)πr²h

[tex]=\frac{1}{3}*15*3\\\\[/tex]

= 15 m³

                               

Hurry plz!!!!
Use the Pythagorean Theorem to determine if a triangle with sides 15 cm, 7 cm, and 16 cm is a right triangle.

Answers

Answer:

It is not.

Step-by-step explanation:

[tex]15^{2}[/tex]+[tex]7^{2}[/tex]=225+49=274

[tex]16^{2}[/tex]=256

274≠256

Answer:

No, this triangle is not a right triangle

Step-by-step explanation:

If (7 cm)^2 + (15 cm)^2 = (16 cm)^2, then this is a right triangle, by the Pythagorean Theorem.  Otherwise it is not.

15^2 + 7^2 = 225 + 49 = 1225 = 35^2.  This is FALSE, and so:

No, this triangle is not a right triangle

PLEASE I NEED HELP WITH THIS QUESTION

Answers

Answer:

x=3

Step-by-step explanation:

substitute x into the equation

(-2) • (-4.5)
answer

Answers

Answer:

9

plz mark brainliest

Step-by-step explanation:

Answer: 9

Step-by-step explanation: 2 negative numbers become a positive number when multiplied or divided..... so when we multiply both of these negative numbers (or just do 2 times 4.5) your answer will be 9

Algebra 2 please help

Answers

Answer:

x > 0

Step-by-step explanation:

Division by zero is not defined.  Therefore, x must be greater than zero.  Also:  The square root function is defined only for x greater than zero or equal to zero.  Together these restrictions tell us that the domain is (0, infinity ).

On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2). Trapezoid ABCD is graphed in a coordinate plane. What is the area of the trapezoid? 16 square units 24 square units 32 square units 48 square units

Answers

Answer:

Correct option: second one -> 24 square units

Step-by-step explanation:

First we need to find the length of each side of the trapezoid, and we do that finding the distance between points:

AB = sqrt( (-1 - (-3))^2 + (2 - (-2))^2) = 4.4721

BC = sqrt( (3 - (-1))^2 + (2 - 2)^2) = 4

CD = sqrt( (5 - 3)^2 + (-2 - 2)^2) = 4.4721

DA = sqrt( (-3 - 5)^2 + (-2 - (-2))^2) = 8

The points B and C have the same y-coordinate, and the points D and A also have the same y-coordinate, so they are the bases of the trapezoid.

The height of the trapezoid is the difference in y-coordinate of points B and A:

height = 2 - (-2) = 4

So the area of the trapezoid is:

Area = (BC + DA) * 4 / 2 = (4 + 8) * 2 = 24 square units

Correct option: second one

Answer:

Its B

Step-by-step explanation:

please answer asapppp!!! i will give brainliest to whoever helps and does it 100% please i need help.

Answers

1.If the slopes of each equation are the same, they are parallel. If the slopes are the opposite reciprocal of each other, they are perpendicular.
2. The equations are parallel, here’s my work:

find the value of JW given that JW=6x+2 and JB=10x+1

Answers

The value of JW is 14 units.

What is a triangle?

A triangle is a polygon with 3 sides. The area of a triangle with base b and height h is given by A = (1/2)bh.

Given that, JB is the median of the triangle and JW = 6x + 2 and JB = 10x + 1.

The distance between the centroid and a vertex of a triangle is 2/3 of the length of the median, therefore, it follows:

JW = (2/3)JB

Substitute the values:

6x + 2 = (2/3)(10x + 1)

18x + 6 = 20x + 2

2x = 4

x = 2

Substitute x = 2 into the expression for JW:

JW = 6(2) + 2

JW = 14

Hence, the value of JW is 14 units.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ2

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