What is the volume of a matchbox which measures 11cm by 6.4cm by
3cm?5) Small boxes measuring 3cm by 2cm by 1cm are packed into a large box which measures 15cm by 12 cm by 10cm. What is the
volume of:
a) the small boxes?
b) the large box?
c) How many small boxes will fit into the large box?

Answers

Answer 1

Step-by-step explanation:

the volume of a box is always

length × width × height

in our first case here :

11 × 6.4 × 3 = 211.2 cm³

the volume of the small boxes is

3 × 2 × 1 = 6 cm³

the volume of the large box is

15 × 12 × 10 = 1,800 cm³

so,

1800/6 = 300 small boxes will fit into the large box.

because the dimensions of the small boxes are factors of the dimensions of the large box (3 is a factor of 15, 2 is a factor of 12, 1 is a factor of 10), it will be a perfect fill without any unused leftover pockets of space.

so, truly 300 small boxes will fit into the large box.


Related Questions

A student is ordering dried chili peppers and corn husks for a cooking class.

Chili peppers cost $16.95 per pound.
Corn husks cost $6.49 per pound.
The student plans to spend less than $50.

Answers

Are you trying to calculate the largest amount the student can purchase within the budget of $50?

50-23.44
= 26.56

He could by 2 chilli peppers and 2 corn husks for $46.88

Cj walks 8 miles in 3 hours what is the unit rate does cj walk

Answers

Answer: 2 [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

8/3 ( 8 divided by 3)

2 [tex]\frac{3}{5}[/tex]

Answer: 2   3/5

Step-by-step explanation: sorry for answering late and have a wonderful day!!!!!

also my i didnt know i walked 8 miles in 3 hours lolz. im just playin XD

Ana angle measure 79.8 degrees less than the measure of it’s complementary angle what is the measure of each angle

Answers

Answer:

x = 129.8 degrees,  y = 50.2 degrees,    x + y = 180

Step-by-step explanation:

Let's say you have 2 supplementary angles, x and y

So x + y = 180

if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8

Putting this into our x + y = 180 equation, we get

(y - 79.8) + y = 180

2y - 79.8 = 180

2y = 180 + 79.8

2y = 259.8

y = 259.8/2 = 129.9 degrees.

so x = 129.9 - 79.6 = 50.3 degrees.

See if it worked. x = 129.9 degrees,  y = 50.3 degrees,    x + y = 180 so we found the correct two angles! :-)

what is the slope of the line that passes through (3,-5) and (-7,15)

Answers

Answer:

Slope = -2

Step-by-step explanation:

Answer: The slope is -2

Step-by-step explanation:  Find the difference in y-values divided by the difference in x-values

15 -(-5) = 20

-7 - 3 = -10

20/-10 = -2

what is the SSS congruence theorem?

Answers

side side side
i learned this last year

A light airplane is flying at 85 km/h on a heading of 130°. The wind is blowing at 25 km/h from a bearing of 260°. Find the ground velocity of the airplane.

Answers

Answer:

71.54km/hr

Step-by-step explanation:

Someone pls I need help with this problem comment asap “what is a division word problem that can be represented by 4/3”

Answers

Answer:

4 divided by 3 will be your answer

Answer:

4 divided by 3

Step-by-step explanation:

Given;

what is a division word problem that can be represented by 4/3

Solve;

/ = ÷ or divide

Thus, 4 divided by 3 or Four divided by three.

Division word problem:

The family equally shares 4 boxes of pizza among 3 people

~Learn with lenvy~

Given the function g(a) =4a -3. Solve for g(-2)

Answers

Answer: g(a) = 4(-2) - 3 = -8 - 3 = -11

Step-by-step explanation: your welcome. :)

Answer:

-11

Step-by-step explanation:

g(a) = 4a -3

g(-2)= 4(-2)-3

g(-2)= -8-3

g(-2)= -11

The governor of state A earns $49,185 more than the governor of state B. If the total of their salaries is $297,715, find the salaries of each.
The governor of state A earns $|
and the governor of state B earns $

Answers

Answer: Governor A gets $198,042.5 dollars. Governor B gets $99,672.5 Dollars

Hope this helps!!!

Step-by-step explanation:

mark me brainliest please

What is the inverse of the function f(x) = 2x – 10?

Answers

Answer:

f^-1(x) = (x+10) / 2

Step-by-step explanation:

sooo

f(x) = 2x - 10

y = 2x - 10

x = 2y - 10

x + 10 = 2y

y = (x + 10) / 2

f^-1(x) = (x+10) / 2

Answer:

[tex]f^{-1}(x)=\frac{x+10}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\\\\y=2x-10\\\\x=2y-10\\\\x+10=2y\\\\\frac{x+10}{2}=y\\ \\f^{-1}(x)=\frac{x+10}{2}[/tex]

As the two functions are inverses of each other, they will be symmetrical about the line [tex]y=x[/tex].

PLEASE HELP WILL GIVE BRAINLIEST!!!! Suppose f(x)=x^2-2 find the graph of f(1/2x)

Answers

Answer: graph 3

Step-by-step explanation:

Dominic goes jogging every morning. If m represents the number of miles he jogs each day, which expression represents the total number of miles he jogs in a week?
7 m
7 + m
7 minus m
StartFraction 7 over m EndFraction

Answers

Answer:

The expression which represents the total number of miles he jogs in a week is 7 m ⇒ A

Step-by-step explanation:

Let us solve the question

∵ Dominic goes jogging every morning

∵ m represents the number of miles he jogs each day

→ That means he jogs m miles every day

∵ There are 7 days in a week

→ That means he jogs m miles every day for 7 days

∵ m + m + m + m + m + m + m = 7 × m

∴ He jogs in 1 week 7 × m miles

∴ He jogs 7 m miles in a week

The expression which represents the total number of miles he jogs in a week is 7 m

Answer:

A. 7m

Step-by-step explanation:

Since the answer above was really long

21=|c-30| can someone help me.

Answers

Answer:

c = 51, 9

Step-by-step explanation:

hope this helps

have an awesome day -TJ

5. Expand the monomial x⁴y².

Answers

Answer:

23y

Step-by-step explanation:

this my answer hope it's help

make me brainless pls

round 3.94 to the nearst whole

Answers

Answer:

4

Step-by-step explanation:

Find the number in the whole number place  

3

and look one place to the right for the rounding digit on the right side of the decimal point  

9

Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

A stick is 9 m long. A rope is 2 times as long as the stick. If the rope is divided into 3 pieces, how many meters long is each piece of rope?

Answers

The length of rope(consist of 3 pieces)=9*2=18m
One piece=18/3=6m
Pls mark me as the Brainliest as I really need it!

Answer:

the answer is 9

Step-by-step explanation:

what is the density of object X if the mass is 100g with a volume of 6

Answers

Answer:

4.0 g/ml

Step-by-step explanation:

[tex] Volume_X [/tex] = water displaced by X

Water displaced by object X = Final fluid level - Original fluid level

Water displaced by object X = 90 ml - 65 ml = 25 ml

[tex] Volume_{X} = 25 ml [/tex]

Density of rock:

100 grams => 25 ml

x grams => 1 ml

Cross multiply

x*25 = 1*100

25x = 100

25x/25 = 100/25

x = 4

Density of object X = 4 g per 1 ml = 4.0 g/ml

The average class size in the school is 25 students. Suppose this class is
representative of all the students in the school. How many students in this class are
boys?

Answers

Answer:

10 of the students in the class are boys

Which step shows the result of applying the subtraction property of equality?

One-fourth (12 x + 8) + 4 = 3

Step
Solution
1
3 x + 2 + 4 = 3
2
3 x + 6 = 3
3
3 x = negative 3
4
x = negative 1

Answers

Answer:

1

Step-by-step explanation:

Answer:

3X + 6 = 3

Step-by-step explanation:

What is 48 1/10-2 7/9

Answers

Answer:

Step-by-step explanation:

I'm not sure that my answer is correct but i got 45

The tires of a semi-trailer truck are 3.2 feet tall. How many 360-degree rotations do the tires make when the truck travels 190 feet? Round your answer to the nearest whole number.

Answers

Answer:

4329deg/360deg=12 revolutions

Step-by-step explanation:

7) Find the base of a triangle whose height is 12cm, and area is 96cm? Your answer​

Answers

Answer:

16 cm

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Substitute given information into the formula:

96= ½ ×base ×12

Simplify:

96= 6 ×base

Divide both sides by 6:

base= 96 ÷6

base= 16 cm

Answer:

16 cm

[tex] \\ [/tex]

Step-by-step explanation:

It is given that, the height of a triangle is 12cm, and its area is 96cm² and we have to find the base of triangle.

[tex] \\ [/tex]

To find the base of the triangle, we have to know this formula :

[tex] \\ {\longrightarrow \pmb{\frak {\qquad \frac{1}{2} \times Base \times Height = Area_{(Triangle)} \:}}} \\ \\[/tex]

Now, substituting the values in the formula :

[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{2} \times Base \times 12 = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{ \cancel2} \times Base \times \cancel{12 } = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad {1} \times Base \times 6 = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad Base \times 6 = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad Base = \frac{96}{6} \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Base = 16\:}}} \\ \\[/tex]

Therefore,

The base of the triangle is 16 cm

A man gets an invoice for ​$460 with terms 4/10, ​1/15, n/30. How much would he pay 6 days after the invoice​ date?

Answers

Answer:

$441.60

Step-by-step explanation:

Invoice amount: $460

Term 4/10= 4% discount if paid early within the first 10 days of the invoice date

Amount due: $441.60

Discount amount: $18.40

Invoice amount: $460

Term: 1/15= 1% discount if paid early within the first 15 days of the invoice date

Amount due: $455.40

Discount amount: $4.60

Invoice amount: $460

Term: n/30= no discount if paid on or after the 30 days from the invoice date

Amount due: $460

Discount amount: $0

2.) Virginia stitches pants. She made 10 pairs on Monday, 12 on Tuesday, 9 on Wednesday, 11
on Thursday and 15 on Friday. She is paid $5.79 for each complete pair, How much did
Virginia earn during this week?

Answers

Answer:

in total she made 330.03$

Step-by-step explanation:

in total she made 57 pants and she paid 5.79 for each so you multiply and get the total

Solve for r.
a = qb to
What is r equal to?

Answers

r=a−qb is the correct answer-

r=0

Step-by-step explanation:

r is not in the equation

The sum of two numbers is 100; the first number is 12 less than the second number? What equation best represents the following

Answers

Answer:

Let the first number be f.

Let the second number be s.

f = s-12

f+s = 100

Substitute the f in the first equation for the second equation.

s-12+s = 100

2s-12 =100

2s = 112

s = 56

Therefore f = 56-12 = 44

The 2 numbers are 56 and 44.

6. Find m2.
Can someone explain how to get the answer to this question please.

Answers

Answer:

m∠2 is 55°

Step-by-step explanation:

Let us revise some facts in geometry

In any triangle, the sum of the measures of its angles is 180°If two line intersected at a point, then they formed two pairs of vertically opposite angles, the vertically opposite angles are equal in measures

We will use these facts to solve our question

∵ ∠1 is an angle of a triangle

m∠1 + 40° + 85° = 180° ⇒ 1st fact

→ Add the like terms in the left side

∴ m∠1 + 125° = 180°

→ Subtract 125° from both sides

∴ m∠1 + 125° - 125° = 180° - 125°

m∠1 = 55°

∵ ∠1 and ∠2 formed from the intersecting of two lines

∠1 and ∠2 are vertically opposite angles

m∠1 = m∠2 ⇒ 2nd fact

∵ m∠1 = 55°

m∠2 = 55°

what is the measure of 6?
explain why please


please anwser this asap.​

Answers

                 Statement                               Reason                  

1.       3x + 7 = ∠2              (Vertically opposite angles)2.         ∠2 = ∠5                    (Corresponging angles)3.         ∠5 = ∠6                 (Vertically opposite angles)

⇒ ∠2 = ∠5 = ∠6 = 3x + 7

Looking at the picture, we can see that ∠6 and 4x + 5 are a linear pair.

Finding the value of x:

⇒ ∠6 + 4x + 5 = 180

⇒ 3x + 7 + 4x + 5 = 180

⇒ 7x + 12 = 180

⇒ 7x = 180 - 12

⇒ 7x = 168

⇒ 7x/7 = 168/7

⇒ x = 168/7 = 24

Now, substitute the value of x into the expression "3x + 7" to find ∠6.

Finding the measure of ∠6:

⇒ ∠6 = 3x + 7

⇒ ∠6 = 3(24) + 7

⇒ ∠6 = 72 + 7

∠6 = 79°

5. A hat contains 13 tickets with numbers 1 to 13 on them. If two tickets are drawn from the hat
without replacement. Find the probability that they are both odd numbers.

Answers

Answer:

3.5

Step-by-step explanation:

the original probability is 7/6 favoring odd


HELP ASAP PLSSS

Identify the relationship
BETWEEN the two angles below. Select ALL that
apply.

Linear Pair

Supplementary Angles

Congruent Angles

Complementary Angles

Vertical Angles

Adjacent Angles

Answers

Answer:

complementry and ajaecent

Step-by-step explanation:

complementry because they add up to 90 and ajecent cause they are next to each other

Other Questions
You have just arranged for a $1,760,000 mortgage to finance the purchase of a large tract of land. The mortgage has an APR of 7.6 percent, and it calls for monthly payments over the next 25 years. However, the loan has an eight-year balloon payment, meaning that the loan must be paid off then. How big will the balloon payment be? In debate class, Nguyan argues that children should watch less television. He says that if children spent more time playing games outside than watching television, they would learn more. Kathleen responds that research shows that students who watch more television actually have higher test scores.What technique does this demonstrate?A. rephrasing the original claim using new wordsB. adding additional reasons for the original claimC. providing a new claim that opposes the original claimD. presenting evidence that contradicts the original claim Express 38.43 as a percent Solve the system using elimination.X + 7y = 252x - 7y = -13 Which set of numbers does NOT describe the side lengths of a righttriangle?F 7, 24, 25G 9, 40, 41H 12, 35, 37J 15, 18, 23 The measures of two complementary angles are 4x+6 and 5x+3. Find x. If the car has a mass of 1000kg what is the cars weight What is the measure of DA? (in a parallelogram) -2(1-8r)=-82Can you give me the answer please Read the excerpt relating to Roger Chillingworth from Chapter 4 of The Scarlet Letter.Even if I imagine a scheme of vengeance, what could I do better for my object than to let thee live,than to give thee medicines against all harm and peril of life,so that this burning shame may still blaze upon they bosom?As he spoke, he laid his long forefinger on the scarlet letter, which forthwith seemed to scorch into Hesters breast, as if it had been red-hot. He noticed her involuntary gesture, and smiled.What does the excerpt reveal about Roger Chillingworth?He is committed to ending Hesters suffering.He has no intention of truly alleviating Hesters suffering.He is honorable, regardless of his own suffering.He has no intention of allowing Hester to live a life of shame. Plants provide___to breath? Instead of doing two things at once, in most situations, people who believe they are multitasking are actually _____, or moving back and forth between the two tasks rapidly. In Athens, the Greeks developed a _ _________ by having citizens make laws directly. In Rome, the Romans developed a _________, also known as a representative democracy. Romans created the _____ _________, which gave the plebeians protection under the ______. In summary, the Greeks developed ______ ________ and the Romans added __________ government. cats or dogs? just wondering To go to the dog beach, it costs $3 plus $2 per dog l. Which equation shows this situation, where x represents the number of dogs? What single percentage change is equivalent to a 12% increase followed by a 14% decrease? Hi, guys please be online for the next two weeks as I will have a tough time so I will be asking many doubts in all subjects. Please stay online and help me. How is temperature related to the physical change of asubstance? A hummingbird lives in a nest that is 7 meters high in a tree. The hummingbird flies 10 meters to get from its nest to a flower on the ground. How far is the flower from the base of the tree? If necessary, round to the nearest tenth. A triangle has side lengths of 7 and 14.Select all of the possible lengths for the third side.7121417