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

What is the area of a 3/4 yards and 5/6 yard rectangle?

Answers

Answer:

3/4 x 5/6 =  15/24 = 5/8 multiply the length and width.

Step-by-step explanation:

Hey can someone kindly help me? If you respond with the answer I might consider giving you brainliest

Answers

Answer: The equation would be 250 + 20x = whatever the amount is  

They would pay $ 24,250 to rent it

Step-by-step explanation:

Can someone help me with this? ​

Answers

Answer:

3x

Step-by-step explanation:

√9x²

√3²x²

√3²√x²

3x

hope it helps

Katie invested a total of ​$4000​, part at 2​% simple interest and part at 3​% simple interest. At the end of 1​ year, the investments had earned ​$90 interest. How much was invested at each​ rate?

Answers

Answer:

$3000

$1000

Step-by-step explanation:

the formula for simple interest = principal x time x interest rate

let the amount invested in the 2% investment be a

let the amount invested in the 3% investment be (4000 - a)

(a x 0.02 x 1) + ([4000 - a] x 0.03 x 1) = $90

0.02a + 120 - 0.03a = 90

Collect like terms and solve for a

0.01a = 30

a = $3000

The amount invested in the 3% investment be (4000 - a)  = $4000 - $3000 = $1000

Angie wants to make a special cake for her family, but the recipe is in all metric measures. The recipe calls for 708 milliliters (ml) of milk. If 16 cups of milk = 3785.4 ml, how many cups of milk should Angie use for the cake? Round your answer to the nearest cup.

Answers

Answer:

theres some balls in my mouth

Step-by-step explanation:

Answer:

3 cups or 2.99254101 cups

Step-by-step explanation:

16 cups = 3785.4 mL

Convert 708 Milliliters to Cups

To calculate 708 Milliliters to the corresponding value in Cups, multiply the quantity in Milliliters by 0.0042267528198649 (conversion factor). In this case we should multiply 708 Milliliters by 0.0042267528198649 to get the equivalent result in Cups:

708 Milliliters x 0.0042267528198649 = 2.9925409964644 Cups

708 Milliliters is equivalent to 2.9925409964644 Cups.

How to convert from Milliliters to Cups

The conversion factor from Milliliters to Cups is 0.0042267528198649. To find out how many Milliliters in Cups, multiply by the conversion factor or use the Volume converter above. Seven hundred eight Milliliters is equivalent to two point nine nine three Cups.

Definition of Milliliter

A milliliter (also written "millilitre", SI symbol ml) is a non-SI metric system unit of volume which is commonly used as liquid unit. It is equal to 1/1000 liter, or one cubic centimeter, therefore, 1ml = 1/1000 L =1 cm3.

Definition of Cup

The cup is an English unit of volume, most commonly associated with cooking and serving sizes. It is traditionally equal to half a liquid pint in either US customary units or the British imperial system but is now separately defined in terms of the metric system at values between 1⁄5 and 1⁄4 of a liter. Because actual drinking cups may differ greatly from the size of this unit, standard measuring cups are usually used instead. In the United States, the customary cup is half of a liquid pint or 8 U.S. customary fluid ounces. One customary cup is equal to 236.5882365 millilitres.

The answer is 2.99254101 cups (rounded to the nearest cup it is 3 cups!)

Hope this helps!! ^^

Janette has 386 pennies. 58 nickels and 19 dimes If Janette exchanges her coins for​ dollars, how many dollars will she have? How many cents will remiain?

Answers

Answer:

$8 ; 66 cents

Step-by-step explanation:

Given that:

Worth of penny, dimes and Nickel in cents and dollars

Nickel, n = 5 cents = $0.05

Dimes, d = 10 cent = $0.1

Penny, p = 1 cent = $0.01

Multiplying the number of each coin with its respective value ;

386(0.01) + 58(0.05) + 19(0.1)

$3.86 + $2.9 + $1.9

= $8.66

Changing it to dollar ,

$8.66 dollars = 8 dollars ;

$0.66 = 66 cents

Can someone help? I really need help

Answers

The costs per 1 pound of grapes would be $3 since 9 divided by 3= 3

Yes she has enough because 6*3=$18 and she has $20

Hope this helps

Have a great day/night

Explain how to describe the data on a histogram.

Answers

Answer:

A histogram shows bars representing numerical values by range of value. A bar chart shows categories, not numbers, with bars indicating the amount of each category. Histogram example: student's ages, with a bar showing the number of students in each year.

Step-by-step explanation:

I HOPE THIS HELPS *

Answer:

A cluster is a group of bars, meaning the frequency is higher in these intervals. A peak is a bar that is higher than the other bars around it. So a peak is where the frequency is highest. Intervals on a histogram where there are no bars means the frequency is 0. If the graph is symmetrical, then the data are evenly distributed.

Step-by-step explanation:

Sample Response on EDG.

I don't know CFFCFCCXVXF

Answers

Answer:

The answers are in the box below. Check them out.

Step-by-step explanation:

if f(a) means when x = a, the value of f(a) would be the evaluated value.

[tex]f(6) = ...[/tex]

That means when x = 6, the value of y would be... As shown in the graph. The value of y is - 1 when x = 6.

[tex] \boxed {f(6) = -1}[/tex]

From the graph, when x = 2, y =-4. Therefore

[tex] \boxed {f(2) = - 4}[/tex]

The last problem. f(x) is defined as function f or function of x which equal to y-term.

[tex]f(x) = y[/tex]

Therefore when f(x)= -4 or y = - 4. The value of x would be

[tex]f(x) = - 4 \\ \boxed {x = 2,4,8, 10}[/tex]

Note that y = b where b is a constant will be a horizontal line graph. The line intercepts the graph of polynomial 4 points.

!!!!WILL MARK BRAINLIEST!!!!
Which equation best represents the relationship between x and y in the graph?

Answers

Answer:

A

Step-by-step explanation:

The y intercept of the graph is at -3, meaning it can only be A or B.

Now that we've narrowed it down, look at the slope. When it comes to slope, it is rise/run. Meaning that if the slope is -4/3, you would go from a point on the line, down 4 spaces and to the right 3 spaces. If that was the slope, your end point would still be on the line.

Let's use the y intercept of (0, -3) as our start point. if you go down 4 spaces and right 3, that leaves you at (3, -7). But that point doesn't fit the line, so that can't be your slope.

This means your slope is -3/4, which if you checkit, does match up to the graph. Meaning the answer is A.

A triangle has angles that measure 40° and 80°. What is the measure of the third angle of the triangle?
Enter the correct answer in the box. (Be sure to attach the degree symbol to your answer.)

Answers

Answer:

60°

Step-by-step explanation:

The sum of all three triangle angles add up to 180°. To solve for the last angle, add the sides you know together and subtract the sum from 180. This will leave you with the third angle's measurement,

40 + 80 = 120

180 - 120 = 60

The third angle of the triangle is 60°

What is a triangle?

A polygon with three angles, side, and vertices is called a triangle.

Given that, a triangle has angles that measure 40° and 80°.

We know that the sum of the interior angles of a triangle is 180°

Let the third angle be x,

40° + 80° + x = 180°

x = 180°-120°

x = 60°

Hence, the third angle of the triangle is 60°

For more references on triangles, click;

https://brainly.com/question/2773823

#SPJ2

f(x) = 4x + 3 for f(-8).

Answers

Answer:

-29

Step-by-step explanation:

plz brainliestt

Answer:

-29

Step-by-step explanation:

f(x) = 4x + 3

f(-8) = 4(-8) + 3

f(-8) = -32 + 3

f(-8) = -29

Theo is using this spinner to predict the favorite movie genre of randomly chosen students in his school.

A spinner with 5 sections labeled action, drama, sci-fi, horror, comedy.

If Theo spins the spinner 60 times, how many times should he expect it to land on “Action”?
10
12
15
20

Answers

Answer:

c

Step-by-step explanation:

i took the quiz

Answer:

The answer is C) 15

Step-by-step explanation:

f(x) = 5x + 6; reflection in the x-axis

Answers

Once reflected over the x-axis y=5x-6


1
Of 100 musicians at a high school, some play only in the jazz band, some play only for the marching band, and some do both. If 60
of them play in the jazz band, and 25 play in both, how many of the musicians are only marching band?
A)
25

B)
60
c)
40
D)
35

Answers

Answer:

There are 40 musicians that are only marching band.

Step-by-step explanation:

Since we knot that there are 25 musicians that do both that means there is 60 - 25 = 35 musicians who do only jazz band. From his we can answer the question because....

100 = a + b + c

Where "a" is the number of musicians who go only to jazz, "b" is the number of people who do both, and "c"  is the number of people that go only to the marching band. From here we can do this....

100 = a + b + c

c = 100 - a - b

Substitute the value we found outa and get.....

c = 100 - 35 - 25

c = 40

Answer:

There are 40 in the marching band

Step-by-step explanation:

A 13 sided figure has how many
total degrees in its interior angles?

Answers

9514 1404 393

Answer:

  1980°

Step-by-step explanation:

The formula for the sum of interior angles of an n-gon is ...

  angle sum = 180°(n -2)

For n=13, the angle sum is ...

  angle sum = 180°(13 -2) = 180°×11

  angle sum = 1980°

A bag of marbles has 5 red, 2 blue, and 3 green marbles. A marble is randomly selected. What is the probability AS A DECIMAL that a blue marble is pulled?​

Answers

Answer:

0.25 Hope this helps :)

Step-by-step explanation:

You add the 5 red and 3 green

8 Mables besides blue

so that's 2/8

simplified 1/4

1/4=0.25

Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. Write a system of equations to represent the situation, using d for days and p for pages.

Answers

Answer:

P = 6d ; P = 5d + 15

Step-by-step explanation:

Given that :

Keith = 6 pages per day

Tameka = 5 pages per day

Tameka has already read 15 pages

If d = Number of days ; p = pages read

Keith :

Pages read, p = pages read per day * Number of days, d

P = 6d

Tameka :

Pages read, p = (pages read per day * Number of days, d) + pages read already

P = 5d + 15

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

[tex]\\P=6d[/tex]

[tex]P=5d+15[/tex]

What is the system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day. Equation for Keith, where d for days and p for pages can be given as,

[tex]P=6\times d\\P=6d[/tex]

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

[tex]P=5\times d+15\\P=5d+15[/tex]

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

[tex]\\P=6d[/tex]

[tex]P=5d+15[/tex]

Learn more about the system of equations here;

https://brainly.com/question/13729904

A recipe calls for 6 apples for an apple pie. If Lisa wants to make 4 apple pies, how many apple does she need?

Answers

Answer:

24 apple to make 4 apple pies

Step-by-step explanation:

6 apples for a pie, and we need to make for pies soo.... 6×4 which equals 24 hope this helped. please mark me brainilyest

24. All you need to do is multiply 6 by 4

i need help please someone help?

Answers

Answer:[tex]\boxed{\boxed{\sf171~square~feet}}[/tex]Solution Steps:

______________________________

1.) Fill in the formula with the information given:Formula = [tex]\sf{L}[/tex] × [tex]\sf{W}[/tex]Filled in Formula = [tex]19[/tex] × [tex]9[/tex]2.) Multiply:[tex]19[/tex] × [tex]9=171[/tex]

So your answer is [tex]\bold{171^2}[/tex].

______________________________

Can y’all plz solve this

Answers

Answer:

The area of the biggest circle is 254.47

Step-by-step explanation:

9 times 3.14 = 254.47

Step-by-step explanation:

Diameter of large = 12+6 = 18cm

A = πr^2

A= 254.47 cm^2

gsgyvsjsysgwjyw i hate math sm​

Answers

that makes two of us ‍♀️

Answer:

B is wrong!! Angle 2 and Angle 7 are alternative EXTERIOR angles

Step-by-step explanation:

Also, don't hate math, it's easy if you understand it

help asap i’ll give brainliest

Answers

The answer is a. 45 .

Simplify the expression:
4(2 + 4k)

Answers

Answer:

8 + 16k

Hope this helps

Step-by-step explanation:

Using Distributive Property : The answer will be 8+16k

A family of five people has $200 to spend on fishing rods and fishing licenses. They spend a total of $20 on licenses. Assuming they buy 5 identical rods, what is the maximum amount they can spend on each rod?

how do you solve this?????

Answers

Answer:

36

Step-by-step explanation:

200-20=180

180/5=36

you do 200-20=180 the 180 divided by 5 which is 36

Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3, 20).

Answers

Answer:

Step-by-step explanation:

It's a simple question as we know:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

Now, your line is in slope intercept form you can compare it with

y=mx+c

m=12 and c=16. You can also put your point to verify your answer.

what is the mean of these numbers?
-54,-32,-70,-25,-65,-42

Answers

Answer:

-48

Step-by-step explanation:

-54+-32+-70+-25+-65,+42 = -288

-288÷6= -48

Add this (-3x^4 + 3) + (-8x^4)

Answers

-3x4+3-8x4
Collect terms (-3x4-8x4)+3
Simplify-11x4+3
Answer -11x4+3
Hope this helped
Points go to my account

5/6x+2/5y-1/4x+3/10y

Answers

I think it’s this 7•(5x+6)
60

PLZ HELP
keiko tosses one penny and ephraim tosses two pennies. what is the probability that ephriam gets the same numbers of heads as keiko

Answers

Answer:

About 1/4 chance for Ephriam, and 1/2 for Keiko

Step-by-step explanation:

Ephriam:

Total Outcomes: 4

Favourable outcomes: 1

1/4

Keiko:

Total Outcomes: 2

Favourable: 1

1/2

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