a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes does it take to fill the prism

Answers

Answer 1

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

n(1/2)^3=10, where n will be the number of these small cubes

n(1/8)=10 upon multiplying each side by 8

n=80

So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3


Related Questions

5x - y = 6

x + 6y = 4

To solve the system by elimination, what integer would you multiply the FIRST equation by?

Answers

Answer:

1.5x-y=6

x-y=5+6

x-y=11

2.x + 6y =4

x+y=6-4

X+y=2

xy=2

SORRY THE WRONG

Step-by-step explanation:

FROM INDONESIAN

Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.

Answers

Answer:

65 percent chance right

Step-by-step explanation:

so she opens it 13 out of 20 times, so divide 13 by 20 and you get it

need help geometry question

Answers

Answer:

okay the answer 13.02 enjoy

Find x.
2x + 40
3x
4x
X + 50
x = [?]
y

Answers

Answer:

x=27

Step-by-step explanation:

Hey there!

the exterior angles of a quadrilateral add up to equal 360

so 360=2x+40+4x+3x+x+50

step 1 combine like terms

2x+4x+3x+x=10x

50+40=90

now we have

360=10x+90

step 2 subtract each side by 90

360-90=270

90-90 cancels out

now we have 270=10x

step 3 divide each side by 10

270/10=27

we're left with

x=27

Factorise the expressions.​

Answers

Answer:

Q.1 lx²+mx

=x(lx+m)

Q.2 x² - ax - bx + ab

= x(x - a) - b(x - a)

=(x - b)(x - a)

Q.3 6ab - b²+ 12ac - 2bc

= b(6a - b) - 2a(6a - b)

=(b - 2a)(6a - b)

Which numbers are irrational?

Select each correct answer.

−144−−−√
10−−√
0.04−−−−√
12−−√

Answers

Answer:

10, 12

Step-by-step explanation:

Solve showing all the steps

Answers

Answer:

Step-by-step explanation:

Is the second exponent 6, or 6x ?

If it is 6x, then x = -½

I was wondering if anyone knew how to use a ti 84 to solve these. I just got one and it’s all very confusing to me.

Answers

Idaho dhhebshd is phoebe the best way for me itueituei I will get it a

Line a is parallel to line b. If the
measure of Z2 is 78°, what is the
measure of Z8?
78° =21
314
615
78
b

Answers

Answer:  78 degrees

This is because alternate exterior angles are congruent when we have parallel lines like this.

Angle 2 and angle 8 are both outside the parallel lines, so that's what makes them exterior angles. Also, they are on alternating sides of the transversal line (angle 2 on the left, angle 8 on the right). So that's where the "alternating" comes from. The other pair of alternate exterior angles is angle 1 and angle 7.

What is the volume of the solid?
Cheese yd
21.8 yd
19.2 yd
40.8 yd
please help!

Answers

Answer:

Step-by-step explanation:

Area of right triangular base = ½ × 3.2 × 6 = 9.6 square yards

Volume = 96 × 2 = 19.2 cubic yards

PLEASE HELP ASAP
trigonometry

Answers

Answer:

5). x = 11.9°

6). x = 27.2°

Step-by-step explanation:

5). By applying cosine rule in the given triangle,

   cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(32)° = [tex]\frac{x}{14}[/tex]

    x = 14cos(32)°  

    x = 11.87

    x ≈ 11.9°

6). By applying sine rule in the given triangle,

    sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

    sin(54°) = [tex]\frac{22}{x}[/tex]

     x = [tex]\frac{22}{\text{sin(54)}}[/tex]

     x = 27.19°

     x ≈ 27.2°

Can you help A B C Or D image is here

Answers

Answer:

A

Step-by-step explanation:

B should be the correct answer

Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?

Answers

The volume would be 768 cm^3

Solve for x. 5000(2)^x = 3500(3)^x​

Answers

Answer:

0.887966

Step-by-step explanation:

1. Divide by 3500

(5000/3500)(2^x) = (3^x)

2. divide by 2^x and simplify

10/7 = (3/2)^x.

3. apply 'ln' function

ln(10/7) = xln(3/2)

4. divide ln(3/2)

ln(10/7) / ln(3/2) = x

x = 0.87966

In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?

Answers

Step-by-step explanation:

Given

GPA = NO + B1Study + B2work + B3leisure + B4sleep + u

1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168

2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.

3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.

GPA = b0 + B1Study + b2sleep + b3work + u

y=5x-22-x+8 y=-20

find x and y show work.

Answers

The answer is x= -3/2 and y=-20
See attached photo. Good luck.

Solve -a + 7 = 2a - 8. a=5 D a= 15 a -3 = B a

Answers

We want to solve for a
-a + 7 = 2a - 8
we will add 8 to both sides and simply to
-a + 15 = 2a
We will then add a to both sides and simply to
15 = 3a
We then divide by 3 on both sides to get
a=5

Solve: 64-3x-3 .64+22=38

Answers

4.0/5

136

The answer is x = -8/9.

Hope you have a good rest of your day. :)

Answer:

B. [tex]x=-\frac{8}{9}[/tex]

Step-by-step explanation:

edge 2021

:) Good luck, loves!

3/18 of the teachers at Naran's school are math teachers, and 30 of the teachers are not math teachers. How many teachers are there at Naran's school?

Answers

Answer:

36 teachers total

Step-by-step explanation:

​In the cylinder, the radius of the circular base is 3.5 centimeters, and the height of the cylinder is 11 centimeters. The volume of the cylinder is

Answers

Answer:

33.69[tex]\pi[/tex] or 105.83

Step-by-step explanation:

Volume for a cylinder is

V= [tex]\pi r^{2}h[/tex]

we need to find the radius from the base

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

B= 3.5/2 = 1.75

V =[tex]\pi 1.75^{2}*11[/tex]

V =  33.69[tex]\pi[/tex] or 105.83 depending if you want it in pi for or not

Bean seeds from supplier A have 85% germination rate and those from supplier B have 75% germination rate. A seed-packing company purchases 40% of its seed from A, 60% from B, and mix them together. Find the probability that a seed selected at random from the mixed will germinate.

Answers

Answer:

0.79 = 79% probability that a seed selected at random from the mixed will germinate.

Step-by-step explanation:

Probability of a seed germinating:

85% of 40%(from company A)

75% of 60%(from company B)

Then

[tex]P = 0.85*0.4 + 0.75*0.6 = 0.79[/tex]

0.79 = 79% probability that a seed selected at random from the mixed will germinate.

Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12

Answers

Answer:

B. L and N

Step-by-step explanation:

Let's solve each system

✔️System L:

3x + y = 8 => Eqn. 1

x - 4y = -6 => Eqn. 2

x = -6 + 4y

Substitute x = (-6 + 4y) in eqn. 1

3(-6 + 4y) + y = 8

-18 + 12y + y = 8

-18 + 13y = 8

13y = 8 + 18

13y = 26

y = 26/13

y = 2

Substitute y = 2 into Eqn. 2

x - 4y = -6

x - 4(2) = -6

x - 8 = -6

x = -6 + 8

x = 2

Solution to system L = (2, 2)

✔️System M:

4x - 3y = 2 => Eqn. 1

5x - 4y = -30 => Eqn. 2

Multiply eqn 1 by 5, and eqn. 2 by 4

20x - 15y = 10

20x - 16y = -120

Subtract

y = 130

Substitute y = 130 into eqn. 1

4x - 3(130) = 2

4x - 390 = 2

4x = 2 + 390

4x = 392

x = 392/4 = 98

Solution to system M = (98, 130)

✔️System N:

4x - 3y = 2 =>Eqn. 1

2x - 8y = -12 => Eqn. 2

Multiply Eqn. 1 by 2, and eqn. 2 by 4

8x - 6y = 4

8x - 32y = -48

Subtract

26y = 52

y = 52/26

y = 2

Substitute y = 2 into eqn. 1

4x - 3(2) = 2

4x - 6 = 2

4x = 2 + 6

4x = 8

x = 8/4

x = 2

Solution to system N = (2, 2)

The number of minutes, m, of exercise, and the number of calories, c, burned during exercise. What is the independent variable?

Answers

Answer:

number of minutes

Step-by-step explanation:

What is surface area of this? Click image

Answers

Answer:

[tex]\Large \boxed{\sf 384 \ m^2}[/tex]

Step-by-step explanation:

Surface area ⇒ area of 2 triangles + area of 3 rectangles

[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]

Violet made cookies for the bake sale. 7/10 of the cookies are chocolate chip. 3/4 of the remaining cookies are sugar. What fraction of cookies are sugar cookies?

Answers

We know that 7/10 of the cookies are chocolate chip, so that means there are 3/10 of the cookies left.
We now want to find what 3/4 of 3/10 is.
We can do this by multiplying both fractions
3/4x3/10 (we just multiply across) to get 9/40.
We cannot simplify this answer, so our final answer is 9/40 of the cookies are sugar cookies.

Answer this ASAP the last question that due 5 minutes

Answers

Answer:

C

Step-by-step explanation:

If you graph the points, count boxes from the orgin (0,0).

You will have to go 3 to the right (on x), and up 6 (on y).

i think it is C, sorry if i’m wrong aahh

Find the area of the shape shown below.

Answers

Answer: 10

Step-by-step explanation:

To work out the area of this shape you have to split this into 1 square and 2 triangles.

The formula of the area of the triangle is base x height divided by 2

The first triangle on the left would be 2x2/2=2

The area of second triangle on the left is 4x2/2=4

The formula for the square is base x height.

Then to work out the area of the square you do 2x2=4

So, to work out the area of the whole shape you add all of the areas together.

2+4+4=10

Which of the following examples has a unit rate of 70 miles per hour? Select all
that apply.
A) 210 miles in 3 hours
B) 420 miles in 6 hours
C) 280 miles in 5 hours
D) 560 miles in 8 hours
E) 560 miles in 7 hours

Answers

Answer:

A, B and D are the answers.

Answer:

A, B, D.

Step-by-step explanation:

ABC measures 140° and is bisected
by BD. What is mDBC= ?

Answers

Answer:

angle abc =140°

and bd bisected by bd so, bd divede angle abc.

angle dbc= angle abc / 2

angle dbc=140°/2

angle dbc=70°

The measure of angle DBC from the given figure is 70°.

The measure of angle ABC is 140°.

What is an angle bisector?

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

Angle bisector BD is bisecting angle ABC equally, which is

∠ABC=∠ABD+∠DBC

⇒ 140°=∠DBC+∠DBC

⇒ 2∠DBC=140°

⇒ ∠DBC=70°

Therefore, the measure of angle DBC from the given figure is 70°.

Learn more about the angle bisector here:

https://brainly.com/question/12896755.

#SPJ2


Kia donated a $20 bill plus 1 of
the balance in her short-term savings
account to a medical fundraiser. If Kia
donated a total of $100, how much was
in her short-term savings account?

Answers

$100 - $20 = $80

Understand?

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