How many cubes with a side length of 1/2 unit would it take to fill a rectangular prism with a volume of 2 cubic units?

Answers

Answer 1

Answer:

16

Step-by-step explanation:

1/2*1/2*1/2 = 1/8 cubic units

2/(1/8) = 16

Answer 2

Answer:

16

Step-by-step explanation:

[tex](\frac{1}{2})^3 = \frac{1^3}{2^3} = \frac{1}{8}\\\frac{2}{\frac{1}{8}} = 2 \cdot 8 = 16[/tex]


Related Questions

Please help me and explain your answer
Thank you!

Answers

Answer:

The bottom right

Step-by-step explanation:

switch the x and y and solve for y again

A standard fair dice is rolled twice. What is the probability of getting an even number on the first roll and any number except 5 on the other?

Answers

Answer:

Step-by-step:

Well, the probability for getting an even number on the first roll is 1/2

The probability for getting not 5 would be 5/6

You can make a tree diagram.

      1                     2                   3                    4                5                    6

1  2 3 4 5 6   1 2 3 4 5 6   1 2 3 4 5 6   1 2 3 4 5 6     1 2 3 4 5 6      1 2 3 4 5 6

The numbers on the top represent the first roll. The numbers on the bottom represent the second roll. The first roll should be an even number, so we know that we should be looking at the even numbers. The second one should be anything but 5. So, what I did was look at the numbers that weren't 5. Look at the diagram with the even number at the top. then, look at the numbers that aren't 5 below. Since there are 5 numbers that aren't 5, and 3 even numbers, multiply 3 x 5 and you'll have 15. So add all the numbers at the bottom and that would be 36, so it's 15/36.

What is the equation in slope-intercept form of the line?

Answers

Answer:

y= -8x

Step-by-step explanation:

theirs no b because it goes through (0,0)

to find slope you do 800-(-800) over -100-100

hope this helps:)

find the circumference

Answers

Answer:

[tex]31.42 \: cm[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]C=2\pi r[/tex]

[tex]C=2\pi \times 5[/tex]

[tex]C=10\pi[/tex]

[tex]C=31.41592...[/tex]

[tex]answer \\ 31.4 \: cm \\ solution \\ r = 5 \: cm \\ d = 5 \times 2 = 10 \: cm \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 10 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 31.4 \: cm \\ hope \: it \: helps[/tex]

PLEASE HELP MEEE!!!!!!!True or False? A circle could be circumscribed about the quadrilateral below.
O A True
B. False
SUBMIT

Answers

Answer:

I have a feeling the answer is false

Step-by-step explanation:

If this is wrong please dont be mad :/

Yes, a circle can be circumscribed in quadrilateral.

What is cyclic quadrilateral?

According to the definition, a cyclic quadrilateral is a quadrilateral that is encircled by a circle. It signifies that all four vertices of the quadrilateral are within the circle's perimeter.

A cyclic quadrilateral is a quadrilateral with all four of its vertices on a circle. It is also known as an inscribed quadrilateral.

We know that a cyclic quadrilateral is one in which the opposite angles of a quadrilateral amount to 180 and a circle can be inscribed.

The opposite angles add up to 180 in this example, indicating that it is a cyclic quadrilateral.

Learn more about this cyclic quadrilateral here:

brainly.com/question/2491603

#SPJ7

I need help ASAP I shall give brainlyist (idk how to spell) figure out how much A cand hold and how much B can hold

Answers

Answer:

A) 84.78

B) 42.39

Step-by-step explanation:

A)

[tex]\pi r^2 h= \\\\3.14 \cdot 3^2 \cdot 3= \\\\84.78[/tex]

B)

[tex]\pi r^2 h= \\\\3.14 \cdot 1.5^2 \cdot 6=\\\\42.39[/tex]

Hope this helps!

Need help with this asap plz❤️

Answers

What question are you needed answers to?

Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.

Answers

Complete Question:

Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.

Answer:

Extra amount needed by Jenny to buy the tiles = £8

Step-by-step explanation:

Floor area = 30.0 m^2

Area covered by a pack of tiles = 2.0 m^2

Number of packs needed = 30/2

Number of packs needed = 15

Price of a pack of tiles = £9.60

Discount = 25%

Jenny will pay 75% of the marked price

Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60

Amount Jenny will pay for a pack of tiles = £7.20

Amount Jenny will pay for 15 packs of tiles = 7.20 x 15

Amount Jenny will pay for 15 packs of tiles = £108

The amount of money Jenny currently has = £100

Extra amount needed by Jenny to buy the tiles = £108 - £100

Extra amount needed by Jenny to buy the tiles = £8

What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J

Answers

Answer:

[tex]\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be [tex](x_1,y_1)\,,\,(x_2,y_2)[/tex] such that the point [tex]p(x,y)[/tex] divides KJ in ratio [tex]m:n[/tex]

Then coordinates of point  P are given by [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]

Take [tex]m:n=3:5[/tex]

So,

coordinates of point P = [tex]\left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]

Answer:

The answer is (40,96), hope it helps :)

Which set of points on the graph represents equivalent ratios?

Please help me i dont know this question

Answers

Answer:

B-points B, C, and D

Step-by-step explanation:

got this correct:)

50 POINTS ANYONE THAT HELPS
Solve the inequality 171 > -6x, and graph the solution. What does the graph look like? an open circle at –28.5 and an arrow pointing right an open circle at –28.5 and an arrow pointing left an open circle at 28.5 and an arrow pointing right an open circle at 28.5 and an arrow pointing left

Answers

Answer:

see below

Step-by-step explanation:

When we simplify we get x > -28.5 (since dividing an inequality by a negative number flips the sign). Therefore its graph would be an open circle at –28.5 and an arrow pointing right.

Answer:

A

Explanation:

It is easy (Not trying to be mean)

Biggest tree in the world:


The height of a redwood tree is 30 metres plus half of its own height, but it
is not 45 metres high. What is the height of the tree?

Answers

Answer:

80m

Step-by-step explanation:

The height of giant redwood tree is 100m.

so half of it is 50m

The height of redwood tree is 30m+ 50m= 80m

Answer: 60 m

Step-by-step explanation:

30 + .5x = x

30 = .5x

60 = x

solve the following simultaneous linear+y=3and3x-y=1​

Answers

Answer:

x=  4/3 and y=3

4. Rewrite a formula to isolate a variable:
The velocity(v) of a rocket depends on the time it was firing its boosters(t), and on
the exhaust velocity(c) and on the ratio of mass full to empty(R). Units are km/s.
v = -0098t + c ln R
a. Rewrite the formula so that it solves for R.
V=-0098t + clnR

Answers

Answer:

[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]

The cube root of 2x2x2x73​

Answers

Answer:

2*cuberoot(73)

Step-by-step explanation:

We can move the 2^3 put of the radical as a 2

Frank decided to lease a $20,000 car for three years instead of buying the car and financing it with a loan. At the end of three
years, the car was worth $11,000. How much did Frank receive when he returned the car to the dealership?
A. He received $0 and will have to cover the cost of any damages that have been done to the car.
B. He received $11,000, less the cost of any damages that have been done to the car.
C. He received whatever amount of money the dealer was able to get selling the car as a used car.
D. He received half of what the dealer got from the sale of the used car.

Answers

Answer:

a

Step-by-step explanation:

To test the effectiveness of a diet cat food, scientists divided a group of overweight cats into a control and treatment group. The cats in the control group ate their regular food. The cats in the treatment group received a measured portion of diet cat food twice a day. After two months, the cats in the treatment group had lost an average of 1.2 lb, and the cats in the control group had gained an average of 0.1 lb. State the Subjects:

Answers

Answer:

Step-by-step explanation:

The subject in a statistical research work usually refer to the participants involved in the experiment which is usually a quantitative research.

The subjects in this study are all the overweight cats including those in the control and treatment groups.

Devin walked 4.5 miles. There are approximately 1.6 kilometers in 1 mile.
How many kilometers did Devin walk, rounded to the nearest tenth?

Answers

Answer:

Approximately 7.2 kilometers

Step-by-step explanation:

4.5(miles walked)*1.6(kilometers in mile)=7.2(kilometers in 4.5 miles)

Answer:

7.2 kilometres

Step-by-step explanation:

4.5 * 1.6

Which of the following reasons can be used to justify statement #4 in the proof?
A Given
B the vertical angle theorem
C the alternative interior angle theorem
D SSS​

Answers

Answer:

SSS postulate because three sides of a triangle are are congruent

Answer:

SSS

It is SSS because it is the end of the proof.

multiply the polynomials (4x^2+3x+7(8x-5)
A. 32x^3-44^2-71x-35
B. 32x^3-4x^2-41x+35
C. 32x^3+4x^2+41x-35
D. 32x^3+4x^2+41x+35

Answers

Answer:

32x^3 + 4x^2  + 41x - 35

Step-by-step explanation:

Multiply each of the terms in bracket 1 with those in bracket 2.

4x^2 x 8x = 32x^3

4x^2 x -5 = -20x^2

3x x 8x = 24x^2

3x x -5 = - 15x

7 x 8x = 56x

7 x -5 = -35

Now, put them together and simplify:

32x^3 - 20x^2 + 24x^2 - 15x + 56x - 35

After simplifying:

32x^3 + 4x^2  + 41x - 35

Please Mark Brainiest

What is the value of x in the equation 1x - y = 30, when y= 15?

Answers

Replace y with 15

The equation is now:

1x - 15 = 30

Add 15 to both sides:

1x = 45

Divide both sides by 1

X = 45

Answer: X = 45

Step-by-step explanation:

1x - 15 = 30

add 15 to both sides

1x = 30 + 15

1x = 45

then you have to seperate the 1 from the x, so divide 1 from both sides

45 divided by 1 = 45

so the answer is x = 45

Please help. Posting question below will mark brainiest and 25 points!!!!!!

Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides

Answers

Answer:

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘.

Step-by-step explanation:

Since opposite angles of a parallelogram are equal. Therefore,

3x − 2=50 − x⇒x = 13

(3x−2)∘ = 3(13)−2 = 37∘

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

Another angle = 180−37=143∘

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘

Find the side of to cube
whose volume is
5.832cm3

Answers

Answer:

[tex]1.8cm[/tex]

Step-by-step explanation:

Use the volume of cube formula.

[tex]\displaystyle V=s^3[/tex]

[tex]\displaystyle5.832=s^3[/tex]

[tex]\displaystyle\sqrt[3]{5.832} =s[/tex]

[tex]\displaystyle s=1.8[/tex]

Answer:

a= 1.8 cm

Step-by-step explanation:

V= a³

a= ∛Va= ∛5.832a= 1.8 cm

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. Determine the speed of the stream and that of the boat in still water.

Answers

Answer:

Average speed of boat = 3.67 km/h

Average speed of stream = 0.63 km/h

Step-by-step explanation:

30 km upstream in 10 hours gives a speed of 30/10 = 3 km/h relative speed of boat and stream

Same way, 44 km in 10 hrs = 4.4 km/h relative speed of boat and stream.

Let the speed of the stream be y

Let the speed of both be x, then

x - y = 3.... (1)

x + y = 4.4.... (2)

Subtract 1 from 2

2y = 1.4

y = 1.4/2 = 0.7 km/h

substitute value of y in 1

x - 0.7 = 3

x = 3.7 km/h

Also, 40 km upstream in 13 hrs gives speed of 3.08 km/h

55 km in 13 hrs gives 4.2 km/h

Let speed of boat be x and that of stream be y

x - y = 3.08.... (1)

x + y = 4.2..... (2)

Subtract 1 from 2

2y = 1. 12

y = 0.56 km/h

Substitute value of y in 1

x - 0.56 = 3.08

x = 3.64 km/h

Average speed of boat = (3.7 + 3.64)/2

= 3.67 km/h.

Average speed of stream = (0.7 + 0.56)/2 = 0.63 km/h

Answer:

Let the speed of boat in stream be x km/hrAnd the speed of boat in still water be y km/hr.For upstream = x - yFor downstream = x + y

As we know that,

[tex]\bigstar \: \: \sf Time = \dfrac{Distance}{Speed} \\ \\ [/tex]

[tex]\bigstar\:\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\[tex]

[tex]:\implies \sf \dfrac{30}{x - y} + \dfrac{44}{x + y} = 10 \\ \\ \\ [/tex]

[tex]:\implies \sf \dfrac{40}{x - y} + \dfrac{55}{x + y} = 13 \\ \\ \\[/tex]

[tex]\sf Let \: \dfrac{1}{x - y} = \textsf{\textbf{m}} \sf \: \: and \: \: \sf{\dfrac{1}{x + y} = \textsf{\textbf{n} }}\\ \\ \\[/tex]

[tex]:\implies \sf 30m + 44n = 10\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (i)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]:\implies \sf 40m + 55n = 13\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (ii)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\qquad\tiny \underline{\frak{ Multiply \: equation \: (ii) \: by \: 3 \: and \: equation \: (i) \: by \: 4 :}} \\[/tex]

[tex]:\implies \sf 120m + 176n = 40\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iii)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]:\implies \sf 120m + 165n = 39\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iv)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\qquad\tiny \underline{\frak{ Substracting \: equation \: (iii) \: from \: equation \: (iv) \: we \: get :}} \\[/tex]

[tex]\sf 120m + 176n = 40 \\ \\

\sf 120m + 165n = 39 \\ \\ [/tex]

[tex]\sf \: \: ( - ) \:\:\: \: \: ( - ) \: \: \: \: \: \: \: ( - ) [/tex]

_____________________

[tex]\: \: \: \: \qquad\sf 11n= 1 \\[/tex]

[tex]\: \: \: \: \: \qquad\sf n= \dfrac{1}{11} \\ \\ [/tex]

[tex]\qquad\tiny {\frak{ Put\: n = \dfrac{1}{11}\:in\:equation \: (i) \: we \: get :}} \\[/tex]

[tex]\dashrightarrow\:\:\sf 30m + 44 \times \dfrac{1}{11} = 10 \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf 30m= 10 - 4 \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf 30m= 6 \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf m= \dfrac{6}{30} \\ \\ \\ [/tex]

[tex]\dashrightarrow\:\:\sf m= \dfrac{1}{5} \\ \\ \\[/tex]

____________________....

[tex]\dashrightarrow\:\:\sf \dfrac{1}{x - y} = m\\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf x - y= 5\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (v)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf \dfrac{1}{x + y} = n\\ \\ \\[/tex]

[tex]\dashrightarrow\:\:\sf x + y= 11\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (vi)}}\Bigg\rgroup \\ \\ \\[/tex]

[tex]\qquad\tiny {\frak{Adding\:equation \: (v) \: and \: equation \: (vi) \: we \: get :}} \\[/tex]

[tex]:\implies \sf 2x = 16 \\ \\ \\[/tex]

[tex]:\implies \underline{ \boxed{ \textsf {\textbf{x = 8 km/hr}}}} \\ \\[/tex]

[tex]\qquad\tiny {\frak{Putting\:x = 8\: in \: equation \: (v) \: we \: get :}} \\[/tex]

[tex]:\implies \sf 8 - y = 5 \\ \\ \\ [/tex]

[tex]:\implies \sf y = 8 - 5 \\ \\ \\[/tex]

[tex]:\implies \underline{ \boxed{ \textsf {\textbf{y = 3 km/hr}}}} \\ \\[/tex]

_________________....

[tex]\bigstar\:\underline{\sf{Therefore\: speed\: of \:boat\: in\: still \:water\: and\: speed\: of\: stream:}} \\[/tex]

[tex]\bullet\:\:\textsf{Speed of boat in stream = \textbf{8 km/hr}}\\[/tex]

[tex]\bullet\:\:\textsf{Speed of boat in still water = \textbf{3 km/hr}}\\[/tex]

Which of the following reasons can be used to justify statement #3 in the proof?
A Given
B the vertical angel theorem
C the reflexive property of congruence
D SSS​

Answers

c because it is accuet.

hope it helps

Option C . The reflexive property of congruence is the correct reason that can justify statement 3 . BD≅BD

What is the reflexive property of congruence?

The reflexive property of congruence states that every side, every angle, every line segment and every shape is congruent to itself.

To prove that ΔABD is congruent to ΔCBD where given that

1.Line segment AB ≅ Line segment CB  (Given)

2. Then we can write AD ≅CD ; Given : D is the mid point of AC

3. line segment BD ≅ Line segment BD , this is true by reflexive property of congruence which states that every line segment or side is congruent to itself.

BD can be considered as side of both the given triangles

Therefore, the reason that can justify statement 3 is option C.

Also, Learn more about the properties of congruence from the link below:

https://brainly.com/question/2039214

#SPJ5

Ana Maria has applied for United States citizenship. She has studied American history and government for a long time and thinks she is ready to take the citizenship test. When she took the practice test online she answered forty-seven questions correctly and only missed three. What percent of the questions did she get right?

Answers

Answer:

≈93.6

Step-by-step explanation:

percent right = answers right/ anwers wrong

Answers right= 47-3=44

%=44/47

≈93.6

help!!!!! 50(1+0.05)7 what is the future amount=

Answers

Answer:

Brainliest goes to me!

Step-by-step explanation:

367.5

50(1.05)7

50 x 1.05 x 7 = 367.5

or

50 x 1.05^7 = 70.3550211328125

Answer:

[tex]70.36[/tex]

Step-by-step explanation:

[tex]50(1+0.05)^7[/tex]

[tex]50 \times (1.05)^7[/tex]

[tex]=70.355021[/tex]

Find the slope of the line that passes through (2, 12) and (5, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

The right answer is -2/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

-2/3

Step-by-step explanation:

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

(10-12)/(5-2) = -2/3

The proportion of brown M&M's in a milk chocolate packet is approximately 14% (Madison, 2013). Suppose a package of M&M's typically contains 52 M&M's

Answers

Answer:

About 7 brown M&M's.

Step-by-step explanation:

To find 14% of 52, multiply 0.14 * 52. This equals 7.28, round to 7.

Are theses exaponents correct!??? 20 points

Answers

Answer:

YES

Step-by-step explanation:

YESSSSSSSSSSSSSSSSS IS THE ANSWER i think :))

Answer:yes they are all correct

Step-by-step explanation:

Put in a calculator 2^0=1

And 2^1=2

Remember the exponents tell you how many times you multiply the base number to itself

Hope that helps

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