A right cubic prism has edges of 2 1/2 inches. How
many cubes with side lengths of inches would
be needed to fill the prism?
A. 125 cubes
B. 37.5 cubes
C. 18.75 cubes
D. 15.625 cubes

Answers

Answer 1

Answer:

Option D, the volume is 15.625 cubes

Step-by-step explanation:

For a cube of side length L, the volume is:

V = L^3

for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:

v = (1in)^3 = 1 in^3

Then:

1 in^3 is equivalent to one small cube

Here we know that the side length of our cube is (2 + 1/2) in

Then the volume of this cube will be:

V = [ (2 + 1/2) in]^3

To simplify the calculation, we can write:

2 + 1/2 = 4/2 + 1/2 = 5/2

Then:

V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3

This means that 15.625 small cubes will fill the prism.

So the correct option is D.  


Related Questions

Help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

What is the measure of angle x?

Answers

Answer:

x = 47

Step-by-step explanation:

Because the angles of a triangle add up to 180, you can just use subtraction to find out what the missing angle is.

Option A
Option B
Option C
Option D​

Answers

Answer:

It's B

... because if you evaluate it it'll be 9x - 6xy, and 2xy + 2x^2

-6xy and 2xy are like terms

g(n) = 20(x+15) What is g(10)?

Answers

Answer:

500

Step-by-step explanation:

g (10) = 20(x+15)

= 20 (10+15)

= 20 (25)

= 500

Plz help plz
What specific measure of a geometric figure is shown in the image?

A. A 15° angle

B. A 180 mm side length

C. A 165 mm side length

D. A 165° angle

Answers

Answer:

A 165° angle

Step-by-step explanation:

I zoomed in on the picture and it was a 165° angle

FUDGEE help pleasee

. Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution(s) for x in the equation below. x^2 + 10x + 21 = 0 x = 3; x = -7 x = -3; x = -7 x = 3; x = 7 x = -3; x = 7

Answers

Answer:

x= -7 and x= -3

Step-by-step explanation:

(x+7)(x+3)=0 (Think about the numbers that will add to 10 and multiply to 21)

x= -7 and x= -3

Answer:

x = −3 or x = −7

Step-by-step explanation:

Let's solve your equation step-by-step.

x^2 +  10x + 21 = 0

Step 1: Factor left side of equation.

(x+3) (x+7) = 0

Step 2: Set factors equal to 0.

x + 3 = 0 or x + 7 = 0

x = −3 or x = −7

I hope this helps you with your assignment and have a fantastic day! :D

Please help with these 3 pretty easy problems and explain how you got it!!! 100 POINTS AND BRAINLIEST!!!! Serious answers please..

Answers

Answer:

Step-by-step explanation:

1)

(x-3)/18=12/9, cross multiply

9(x-3)=18(12)

9x-27=216, add 27 to each side

9x=243, divide each side by 9

x=27

2)

(x-16)/(x+6)=3/5, cross multiply

5(x-16)=3(x+6)

5x-80=3x+18, subtract 3x from each side

2x-80=18, add 80 to each side

2x=98, divide each side by 2

x=49

3)

Since the triangles are similar we can say that

25/(4x-1)=10/(x+5), cross multiply

25(x+5)=10(4x-1)

25x+125=40x-10, subtract 40x from each side

-15x+125=-10, subtract 125 from each side

-15x=-135, divide each side by -15

x=9

here are the answers!

1)

(x-3)/18=12/9, cross multiply

9(x-3)=18(12)

9x-27=216, add 27 to each side

9x=243, divide each side by 9

x=27

2)

(x-16)/(x+6)=3/5, cross multiply

5(x-16)=3(x+6)

5x-80=3x+18, subtract 3x from each side

2x-80=18, add 80 to each side

2x=98, divide each side by 2

x=49

3)

Since the triangles are similar we can say that

25/(4x-1)=10/(x+5), cross multiply

25(x+5)=10(4x-1)

25x+125=40x-10, subtract 40x from each side

-15x+125=-10, subtract 125 from each side

-15x=-135, divide each side by -15

x=9

find an ordered pair of 5x + y = 3

Answers

Answer:

Step-by-step explanation:

Find an ordered pair that satisfies the equation 5x + y = 3.  

There are infinitely many ordered pairs that satisfy this equation.

If we were to choose y = 0, then 5x = 3, and x = 3/5, leading to the ordered pair (3/5, 0).

If we were to choose x = 1, then 5(1) + y = 3, or y = -2.  The ordered pair would be (1, -2).

And so on.

someone help ME PLZZZZ

Answers

Answer:

a+b

Step-by-step explanation:

Give the product in simplest form:

Answers

Answer:

5 15/48

Step-by-step explanation:

5 times 3 is 15,  8 times 6 is 56, and 5 times 1 is 5....you can not simplify 15/48 so the final answer is 5 15/48

solve using mental math
3 x 25 - 5

Answers

Answer:

70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Find the midpoint of the line segment with end coordinates of:
(−4,8) and (4,−2)

Answers

Answer:

(0, 3 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 4, 8) and (x₂, y₂ ) = (4, - 2) , then

midpoint = ( [tex]\frac{-4+4}{2}[/tex], [tex]\frac{8-2}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (0, 3 )

A fair spinner has 9 equal sections: 3 red, 4 blue and 2 green.
It is spun twice.
What is the probability of getting red both times?

Answers

Answer:

9/81

Step-by-step explanation:

Too long for me to explain it

Sara simplified an expression as shown.

image

What property of operations did Sara use to get from Step 3 to Step 4?

A.
Subtracting a number is the same as adding its inverse.

B.
Associative Property of Addition

C.
Commutative Property of Addition

D.
The opposite of a sum is the sum of its opposites.







Sara simplified an expression as shown.

image

What property of operations did Sara use to get from Step 3 to Step 4?

A.
Subtracting a number is the same as adding its inverse.

B.
Associative Property of Addition

C.
Commutative Property of Addition

D.
The opposite of a sum is the sum of its opposites.

Answers

Answer:

B. Associative Property of Addition

Step-by-step explanation:

DO,-2(x, y)(3, 5). The point (x, y) is (1, 3) (-3/2, -5/2) (-6, -10)

Answers

Answer: -6, -10.

The question is asking you to make the coordinates negative and then multiply the negative numbers by 2, thus, -6, -10.

The coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.

What is an ordered double?

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have:

-2(x, y)  →  (3, 5)

The coordinate (x, y) changes after multiplication by factor 2

New coordinate = (3, 5)

-2x = 3

x = -3/2

-2y = 5

y = -5/2

Thus, the coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.

Learn more about the ordered double here:

https://brainly.com/question/10757890

#SPJ2

Which statement about f(x) = x^2 + 16x + 3 is true

A. The function has a maximum value of 3
B. The function has a maximum value of 16
C. The function has a minimum value of -8
D. The function has a minimum value of -61

Answers

Answer:

D

Step-by-step explanation:

Given a quadratic function in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

• If a > 0 then minimum value

• If a < 0 then minimum value

For

f(x) = x² + 16x + 3

a = 1 > 0 then f(x) has a minimum value

The minimum is the value of the y- coordinate of the vertex.

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

Here a = 1 and b = 16 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{16}{2}[/tex] = - 8

To find the y- coordinate of the vertex, substitute x = - 8 into f(x)

f(- 8) = (- 8)² + 16(- 8) + 3 = 64 - 128 + 3 = - 61

Thus the function has a minimum value of - 61 → D

need help ASAP, WILL MARK BRAINLIST​

Answers

2p²+3p²+5-1

2p²+3p²+4

5p²+4

Your teacher gave you 45 of a bag of candy, but she only gave your friend 23 of a bag.

How much more of the bag did your teacher give you than your friend?

Answers

Answer:

you got 12 more then your friend, 45-23

Step-by-step explanation:

Find the value of x.
x-11
x-5
A-8
.
A. 17
B. 20
C. 22
D. 15

Answers

Answer:

the answer is D hope it hleps

Solve the system of linear equations.
Check your solution, if possible.
2x + 3y = 5
2x + 3y = 7

Answers

Answer:

there is no solution, meaning the lines would be parallel

Step-by-step explanation:

i hope this helps :)

Simplify the expression.



-21k - 3 + 4 - 7k

Answers

Step-by-step explanation:

I hope it is helpful to you

Consider the function graphed on the coordinate plane.
When x<6, the function is Blank and Blank
answer choices
Blank 1. linear or nonlinear
Blank 2. increasing or decreasing

Answers

Answer:it is nonlinear and decreasing

Step-by-step explanation:

Can someone help me pls :(

Answers

The answer is C
30x-10

Answer:

30x-10

Step-by-step explanation:

6(5x−2)+2

Distribute:

=(6)(5x)+(6)(−2)+2

=30x+−12+2

Combine Like Terms:

=30x+−12+2

=(30x)+(−12+2)

=30x+−10

Answer:

=30x−10

How make minutes are in 2/3 ?

Answers

Answer:

To find 2/3 of an hour first we will divide 1 hour that is 60 minutes into 3 parts. So we will get 20 minutes. So we 2parts out of 3 parts of an hour so we get 20X2=40minutes

Step-by-step explanation:

A object is moving at a steady speed what will happen if an additional force is applied to the object in the same direction which the object is moving

Answers

Answer:

I’ll never have no idea

Step-by-step explanation:I have no idea

LJKL is a right angle. What are
MLJKM and mZMKL?
M
(12x + 3)^
T6x – 3)°
L
K

HURRY PLSSSS

Answers

Answer:

<MKL=27

<JKM=63n

I have messed up in the pic above it I s 63 not 67

What is 3.00 - 2.50 explain your work

Answers

Answer:

0.5

Step-by-step explanation:

Subtract 2.5 from 3

Elianna studied data collected on the school hockey team for one season. She noticed that a player on the team had 13 successful shots out of a total of 50 attempted shots. To find the percentage of the total shots attempted by this player that were successful, Elian set up the equivalent ratios below.

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but based on the information given in the question, since she noticed that a player on the team had 13 successful shots out of 50 attempted shots.

The percentage of the total shots attempted by this player that were successful will be:

= 13/50 × 100

= 26%

What’s the slope? I need help pls

Answers

Answer:

The slope is -2/-3

Step-by-step explanation:

Look at the X-axis and go up to the point

Answer:

4/-2

Four over -2

Is your slope.

Your y-intercept is -1

Step-by-step explanation:

PLEASE HELP!!

Measure the lengths of the following segments in inches.

Answers

the first on is 12in and the 2nd is 7in Hope this helps :)) mark me brainiest
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