How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?

Answers

Answer 1

Answer:

630.

Step-by-step explanation:

Given the following data;

Dimensions for cube = ¼ inches

[tex] Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4} [/tex]

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

[tex] Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4} [/tex]  

Volume = 315/32 inches

Therefore, to find the amount of cubes;

[tex] Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube} [/tex]

Substituting into the equation, we have;

[tex] Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}} [/tex]

[tex] Number \; of \; cubes = \frac {315}{32} * 64 [/tex]

[tex] Number \; of \; cubes = 315 * 2 [/tex]

Number of cubes = 630


Related Questions

I don’t understand, can someone please help.

Answers

Answer: 40

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

All triangles has the sum of the internal angle equal to 180

2x+10+3x+x+50=180

Combine like terms

6x+60=180

Subtract 60 on both sides

6x=120

Divide 6 on both sides

x=20

Hope it helped :))

so far two-thirds of the seniors bought prom tickets. if they need minimum of 250 people to attend in order to keep the venue, how many students must be in the senior class to ensure they sold enough tickets

Answers

Answer: 375

Step-by-step explanation:

2/3 of x= 250

250 x 3=750

750//=375

They need a minimum of 375 students in order to keep the venue,

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, So far two-thirds of the seniors bought prom tickets. if they need a minimum of 250 people to attend in order to keep the venue.

Assuming they need a minimum of x people.

∴ (2/3)x = 250.

2x = 750.

x = 375.

learn more about percentages here :

https://brainly.com/question/24159063

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Consider the polynomial 9n2+60n+100.
What are the square roots of the first and last terms?

square root of first term:

square root of last term:

Answers

First term: 3n
Last term: 10
Have a great day :)

Identifying the Graph of an Inequality
Which is the graph of 4x + 2y < 3?
y
4
TY
NA
2
2
2
21
x
41
2
4
-4-2
2.
4
-4
2.
4
2
4
-2
-2
x

Answers

Answer:

The point-slope form of the equation of a line is ...

 y -h = m(x -k)

for a line with slope m through point (h, k).

Comparing this to the given equation, you see that ...

 h = -2, m = 1, k = -4

The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.

__

You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.

 y = x +2

This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.

The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.

The graph is given below.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

The graph of 4x + 2y < 3 is the region in the coordinate plane that satisfies the inequality.

To graph this inequality, we can start by graphing the line 4x + 2y = 3.

This line has a slope of -2 (because it can be written in the form

y = (-2x/1) + (3/2)), and a y-intercept of (0, 3/2).

We can plot this point on the y-axis and use the slope to find other points on the line.

For example, if we move one unit to the right from the y-intercept, we will move down two units (since the slope is -2), giving us the point (1, 1/2). Similarly, if we move one unit to the left from the y-intercept, we will move up two units, giving us the point (-1, 5/2).

We can connect these points to graph the line.

Therefore,

The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.

Learn more about inequalities here:

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Here are some numbers 8 11 13 18 25 37 8 13 18 is an arithmetic progression and the rule is to add. Use three of the numbers to make a different arithmetic progression. Describe the rule.

Answers

Answer:

[tex]Progression: 11, 18, 25[/tex]

[tex]Rule: Add\ 7[/tex]

Step-by-step explanation:

Given

[tex]List: 8, 11, 13, 18, 25, 37[/tex]

Sample

[tex]Progression: 8, 13, 18;[/tex]

[tex]Rule: Add\ 5[/tex]

Required

Generate a progression with three numbers and state the rule

We will use the method of trial and error to get the solution

Start with digit 11

Add 7:

[tex]11 + 7 = 18[/tex]

Add 7:

[tex]11 + 7 + 7 = 18 + 7 = 25[/tex]

Hence, the progression is: 11, 18 and 25

Rule: Add 7

here is the other part
mario

Answers

Answer: cool

Step-by-step explanation:

Find the slope.....................

Answers

Answer:

-1 :)

Step-by-step explanation:

what is the solution to the system of equations?
A. (-7, -6)
B. (-6, -7)
C. (0, 2)
D. (2, -5)

Answers

Answer: B.

Step-by-step explanation:

A hexagon can be divided into 4 non-overlapping triangles. Which is the sum of the interior angles of a hexagon?
A) 180°
B) 540°
C) 720°
D) 1440°​

Answers

Answer:

B

Step-by-step explanation:

4+5(2-3x)+4x
Help pls I need it FAST

Answers

The answer to the question is: 14-11x

Answer: 14 -11x

You first distribute 5 through the parenthesi to get 4 + 10 - 15x + 4x. Then calculate like terms to get 14 - 11x

PLSSSSSSSSSS URGENT I NEED HELP!!!
The diagram shows the graph of y = ax + b. Find the values of a and b *

Answers

Answer:

The values of a and b are:

a = 2b = 2

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = ax+b

where

a is the slopeb is the y-intercept

From the diagram of the line graph, we can fetch the two points

(0, 2)(-1, 0)

Determining the slope between (0, 2) and (-1, 0)

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

[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)[/tex]

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

[tex]a=2[/tex]

Thus, the value of a = 2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting a = 2 and b = 2 in the slope-intercept form of the line equation

y = ax+b

y = 2x + 2         ∵ a = 2 , b = 2

Thus, the line of equation is:

y = 2x+2

now comparing with y = ax+b

Here:

a = 2

b = 2

Therefore, the values of a and b are:

a = 2b = 2

Its substitution, and rearrangement you have to find x
y = 3x + 7 5x - 2y = -10​

Answers

Answer:

Step-by-step explanation: I dont know actually

what is the volume of a right circular cylinder with a base diameter of 6m and a height of 5 m

Answers

Step-by-step explanation:

35

I NEED HELP WITH THIS !

Answers

62.85 times so basically 63 times

4+2(7)=

Evaluate
can someone plz help im confused

Answers

Answer:

4+14= 18 this is the answer

Step-by-step explanation:

2(7)=14+4=18

you multiply the 2 and 7 and then add the 4

Answer:

18

Step-by-step explanation:

what this wants you do do is use PEMDAS. the number in parentheses always means to multiply. first youre gonna multiply 2 by 7 which gives you fourteen. then add 4 to 14 which gives you 18.

hope this helped! <3

Someone help I’m LAAAAZYYYY

Answers

Answer:

It is 8,7

Hope this helps!

Step-by-step explanation:

y= 3x +5
Who looks better

Answers

None of them sorry because 1-2=1

can I plz have help on number 6

Answers

Answer: 5/8 miles

Step-by-step explanation:

1. Add the distance from home to school, and from school to post office (7/8+5/6 = 41/24)

2. Figure out how many miles the trip was in total, given that she can travel a mile in 18 minutes and the trip was 42 minutes, by dividing 42/18, which equals [tex]2\frac{1}{3}[/tex]. The trip was [tex]2\frac{1}{3}[/tex] miles long.

3. Now, given that she has already traveled 41/24 miles from her home to the post office, subtract 41/24 from [tex]2\frac{1}{3}[/tex]. This equals 5/8, meaning that she traveled 5/8 miles from Post office to her friend's home.

Maybe it will me 5/8 tell me if its right

Solve Similar Triangles (advanced)

Solve for x!

PLEASE HELP!!

Answers

Answer:

13.5

Step-by-step explanation:

The two triangles are similar

According to the question

The equation is

⅔=11/x+3

2x+6=33

2x=27

x=13.5

I need 5x - 6y = 30 super bad including The Slope and the Y-Intercept, please I need this super fastttt!

Answers

Answer:

the slope will be 5/6 and the y- intercept is going to be (0,-5)

Step-by-step explanation:

use the slope-intercept form y=mx+b to find the slope (M) and the y-intercept (b)

I NEED HELP ASAP
Write the slope-intercept form of the equation with the given characteristics: Slope: 3/2 Point: (-4,7)​

Answers

Answer:

[tex]y = \frac{3}{2} x + 13[/tex]

Step-by-step explanation:

1) Use point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. So, substitute [tex]\frac{3}{2}[/tex] for m, -4 for [tex]x_1[/tex], and 7 for [tex]y_1[/tex]. Then, simplify and isolate y on the left side like so:

[tex]y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13[/tex]

please help its due today 8p+p=

Answers

The correct answer is 9p if you were to simplify

Technically that would be 9p only because p stand for 1 so 8+1=9.

WEEEEEEEEEEEEEEEEEEEEEEE
PLEASE HELP

Answers

answer: 5b

the exponents basically cancel themselves out. :)

A school store ordered 12 boxes of notebooks. For each box they paid for, their bank account said -$16.50. What did their bank account show after they paid for all 12 boxes? (Write your answer in dollars $)​

Answers

Answer:

-198 dollars

Step-by-step explanation:

PLEASE HELP I ONLY HAVE 10 MORE QUESTIONSS

Answers

Answer:

Length

√45 units

Distance

√13 units

Step-by-step explanation:

Here, we want to calculate the length and the distance between the points

To calculate the length, we need the coordinates of the points

These are;

(1,-2) and (4,4)

the length can be calculated using the formula for the distance between two points

Mathematically, that will be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(1-4)^2 + (-4-2)^2

D = √(9 + 36)

D = √45 units

We use the same formula to get the distance between the two given points

that will be;

D = √(5-3)^2 + (-2-1)^2

D = √(2)^2 + (3)^2

D = √13 units

Answer and will mark brainliest

Answers

Answer:

30

Step-by-step explanation:

Austin Moore has been working in a factory for 28 years. He is preparing to retire. His pension is calculated on the average of his last 3 years’ salaries where he earned $48,592, $47,590, and $47,710. His employer will give him 1.8% of that average for each year he worked. Calculate his pension.

Answers

Answer:24,173.856

Step-by-step explanation: you calculate the average of the last 3 years then find 1.8% of that number and then multiple by 28 years to find his total pension

Answer:

★ The answer is 24,173.856

Step-by-step explanation:

Hope you have a great day

Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for two quarts of apple cyder, three teaspoon of cinnamon, and one pint of lemon-lime soda. This will make enough for 8 people to share. In my neighborhood, however, there are 36 people. How much do I need for each ingredient to make enough for everyone?​

Answers

Answer:

j

Step-by-step explanation:

The slope of line TV is 3/5. What is the slope of any line perpendicular to TV?
options:
5/3

−3/5

3/5

−5/3

Answers

Step by step explanation:

Which expression is equivalent?

Answers

The equivalent expression is b)
The second one
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