Mathematics High School

A box with dimensions 1 1⁄4 ft x 2 3⁄4 ft x 3⁄4 ft was being filled with smaller boxes. Each of the smaller boxes are shaped like a cube. The smaller cube shaped boxes have the dimensions 1⁄4 ft x 1⁄4 ft x 1⁄4 ft. How many of the 1⁄4 ft x 1⁄4 ft x 1⁄4 ft cubes can be packed into the larger box?

Answers

Answer 1

Answer: 165 boxes

Step-by-step explanation:

Given

The dimension of the bigger box is [tex]1\ \frac{1}{4}\times 2\ \frac{3}{4}\times \frac{3}{4}\ ft^3[/tex]

the dimension of the smaller box is [tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\ ft^3[/tex]

The volume of the large box

[tex]\Rightarrow V_1=\dfrac{5}{4}\times \dfrac{11}{4}\times \dfrac{3}{4}=\dfrac{165}{64}\ ft^3[/tex]

The volume of the small box

[tex]\Rightarrow V_o=\dfrac{1}{4}\times\dfrac{1}{4}\times \dfrac{1}{4}=\dfrac{1}{64}\ ft^3[/tex]

Suppose there are n small boxes

[tex]\Rightarrow n=\dfrac{V_1}{V_o}[/tex]

[tex]\Rightarrow n=\dfrac{\frac{165}{64}}{\frac{1}{64}}=165\ \text{boxes}[/tex]

Related Questions

PLEASE HELP IM DESPRATE AND I CANT GET IT

Answers

Answer:

Step-by-step explanation:

1. 1

if you find -4 on the x-axis, the y value is 1.

what is the 3rd page?

The number of dimes is 3 more than twice the number of nickels.

The total value of the coins is $7.05.

Answers

Answer:

d;lkjhgfdsalkjhgfdsoiuytrmnbvkjhgfuytfduytretuioiuytrdnmnbv

Step-by-step explanation:poiuytrewkjhgfd9uyt

Owen is going to an amusement park. The price of admission into the park is $40, and once he is inside the park, he will have to pay $2 for every ride he rides on. How much money would Owen have to pay in total if he goes on 7 rides? How much would he have to pay if he goes on rr rides? PLEASE

Answers

Answer:

He will pay $14 to go on 7 rides with admission he will pay a total of $54.

Step-by-step explanation:

Admission-40

One ride-2

40+(2x7)=54

A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil holder is 12 cm, and the volume of the pencil holder is 216 ㎤.

What is the area of the base
of the pencil holder in
square centimeters?

Answers

Answer:

18cm

Step-by-step explanation:

Answer:

18 cm

Step-by-step explanation:

I was wondering What is 3 plus 3

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 plus 3 equals 6. If you have 3 cookies and you add three more, now you 6 cookies.

Bon Appetit

*ill mark brainliest*

A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?

Answers

It would be 143 because if you were to multiply 100*11 = 1100 so doing the same for 13*11 would equal 143

line y=3x-1 is transformed by a dilation with a scale factor of 2 and centered at (3,8) what is the lines image in an equation form

Answers

Answer: 4)y=3x-1

Step-by-step explanation:

The y value relates to the dilatation center, which the line image's equation will be [tex]y = 3x - 1[/tex]. In standard form, [tex]y = mx + b[/tex] y-intercept is represented by the letter b.

Center of dilatation calculation:

[tex]y = 3x - 1[/tex] is the equation of a line.

If somehow the line is dilatable by a factor of 2 and centered at [tex](3, 8)[/tex]. To begin with, we must determine the y-value for which [tex]x = 3[/tex].

[tex]y = 3(3) - 1\\\\y = 9 - 1\\\\y = 8[/tex]

This equation of the line image will be [tex]y = 3x - 1[/tex], because the y value is comparable to the center of dilatation.

Learn more about the center of dilation of line here:

brainly.com/question/16808482

Brooke watched 1/3 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1/5 of the movie left to watch. How much of the movie did Brooke watch at night?

Answers

Answer:

.466666666 or 46.66666% (the 6s go on forever)

Step-by-step explanation:

1/3 + 1/5 = 53.33333%

1 - .53 = 46.66666% is how much she watched last night

I think 2/15 is how much she watched at night

6 different fruit on the surface of a bowl, but there are 2 which are oranges. What fraction of the fruit is oranges in the bowl?

Answers

Answer:

there are 2oranges out if 6 fruit so this would mean your fraction of oranges is 2/6

Step-by-step explanation:

I hope this helps!

Dracula's bill at the restaurant was $54.83. He left a tip of 15%.
What was the tip amount (nearest hundredth)?

PLEASE ANSWER QUICK :,(

Answers

15% as a decimal is 0.15

Multiply the amount of the bill by the percentage:

54.83 x 0.15 = 8.22

The tip was $8.22

Answer:

[tex]\huge\boxed{ \$ \ 8.22}[/tex]

Step-by-step explanation:

Bill = $54.83

Tip = 15 % of 54.83

[% means out of 100, "of" means to "multiply"]

Tip:

= 15% of 54.83

= 15 / 100 * 54.83

= 0.15 * 54.83

= $ 8.22

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

f x g / _______ = f

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Can you show a picture of the problem?

Tools
Question 11
The table shows the relationship between y, the cost to rent a boat, and the amount of time the boat is rented,
Boat Rental Costs
Time, X Cost, v
(hours) (dollars)
1
3
5
80
7
104
Which graph best represents the relationship between x and y shown in the table

Answers

I think the answer is D

how do you find the range of 0.3 0.9 0.2 0 0.7 0.9 0.4

Answers

You subtract the biggest number from the smallest number. So it would be 0-0.9=0.9

A store sells bottles of juice in boxes. Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. What is the maximum number of bottles in each box?

Answers

Answer:

The maximum number of bottles in each box is equal to 9.

Step-by-step explanation:

Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. We need to find the maximum number of bottles in each box. It can be calculated using HCF of 18, 36 and 45

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

So, there are 9 bottles in each box.

pls help. thank you!!!!

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Answer:

where is the question plsss tell

and send me ok

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Answer:

the answer is

X + 40 + 155 =180

Have a cute puppy!! It’s my puppy

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Answers

Answer:

cubic polynomial, monomial

Step-by-step explanation:

Please can someone help me with this question

Answers

Answer:

4.21 or 4.22 or 4.23 or 4.24

hope this helps

The answer can very between 4.21, 4.22, 4.23, and 4.24

I need help quick!
Q: The measure of

Answers

Answer:

x=34

Step-by-step explanation:

132-64=

68/2=

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Answers

Answer:

The first question on the very left it shows

Step-by-step explanation:

go left from main question and up

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Answers

Answer is 45 :) Have a nice day!

I think its 45 for a shorter way you can just put

5×5+15÷5×6 in the calculator because 5 to the second power is just the number times it self

PLEASE HELP
What do the ratios 15:5 and 15:22 represent?
15:5 compares losses to wins and 15:22 compares games to wins.
15:5 compares wins to losses and 15:22 compares wins to games.
15:5 compares wins to losses and 15:22 compares wins to ties.
15:5 compares wins to ties and 15:22 compares wins to games.

Answers

15 : 5 = 15 : 5

15 : 5 = 1 : 0.33333333333333

= 3 : 1

15 + 5

= 75%

Answer:

Step-by-step explanation:

15:5 compares wins to losses and 15:22 compares wins to games.

hello am just trying to make sure I did the gray one right

Answers

Answer:

Correct

Step-by-step explanation:

To isolate the variable of x, simply add 16 to 11 which is 27 and now it is set up as 4.5x=27 and 27/4.5, it = 6

Answer:

Gray and all are right.

Step-by-step explanation:

4.5x + 16 = 11.5

4.5x = 11.5 - 16

4.5x = -4,5

x = -4.5/4.5

x = -1

4.5x + 27 = -9

4.5x = -9 - 27

4.5x = -36

x = -36/4.5

x = -8

4.5x - 16 = 11

4.5x = 11 + 16

4.5x = 27

x = 27/4.5

x = 6

-4.5x + 27 = 45

-4.5x = 45 - 27

-4.5x = 18

x = 18/-4.5

x = -4

What is 1.5•10^4•3•10^ 2?

Answers

The answer is 4500000

simplify by pulling out the GCF from the numerator and the dominator? 6/8

Answers

Answer:

3/4

Step-by-step explanation:

The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2

3/4 is the answer to this

what is 15 less than or equal to -5x

Answers

Answer:

less than tell me if i'm wrong

I need help on my question that’s not anwserd please help a
And if u help me I’ll give points and brainlist and thanks and a 5 star please

Answers

Answer:

where's the question. you gave no information....

Step-by-step explanation:

I don't know what I have to work with...

A shop has a slae that offers 20% off all prices On the final day they reduce all the sale prices by 25% Linz buys a radio on the final day Work out the overall percentage reduction on the price of the radio

Answers

Answer:

40%

Step-by-step explanation:

We would use an example

assume the price of the radio is 100

After the initial price reduction, it would be worth (100 - 20%) 80% of the price

0.8 x 100 = 80

After second price reduction it would be worth (100 - 25% ) 75% of the price

0.75 x 80 = 60

Price change = (new price after all the discounts / original price) - 1

(60/100) - 1 = -0.4

idljkewbcu ASAP ANSWER

Answers

Answer:

the range of the data is 6 points

Step-by-step explanation:

Tina had 20 minutes to do a three-problem quiz.She spent 9 3/4 minutes on question A and 5 1/2 minutes on question B. How much time did she have left for question C

Answers

Answer:

3636363

Step-by-step explanation:

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