if four students enter a classroom that has ten vacant seats, in how many ways can they be seated?

Answer:

2/5 < 0.42 < 43% < 3/7

Step-by-step explanation:

Let's convert them all to decimals:

43% = 0.43

2/5 = 0.4

3/7 = 0.428571...

0.42 = 0.42

Now we can arrange them in ascending order:

0.4

0.42

0.43

0.428571...

Answer:

Step-by-step explanation:

p-21=35  add 21 to both sides

p=56 Normally you would divide the number with p, but there isn't one. So p=56

A pyramid has a volume of 173.88 ft3, is 10.5 feet tall, and has a rectangle-shaped base that is 7.2 feet by 6.9 feet in size.

A rectangular pyramid has five faces altogether. Its rectangular base serves as one face, and the remaining four faces are all triangular in shape. All of the triangles in this are congruent with the triangle to the opposite. The formula for a pyramid's total surface area is 12 pl + B, where p is the base's perimeter, l is the pyramid's slant height, and B is the base's area.

The volume of a rectangular pyramid is found using the formula Volume = 1/3 × base area × height.

height is 10.5 feet

dimensions of 7.2 feet by 6.9 feet.

volume = L× B × H /3

volume = 7.2·6.9·10.5 /3

volume = 173.88ft³.

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i hope this helppppsss

2.67 is the fluid ounces for 1/3 cup easy to determine on the cup.

What is relation between ounces and cup?

Ounces and cups are both units of measurement used for volume.

One cup is equal to 8 fluid ounces. This means that if you have a liquid that is measured in cups and you want to convert it to ounces, you would multiply the number of cups by 8 to get the number of ounces. For example, 2 cups of water is equal to 16 fluid ounces.

On the other hand, if you have a liquid measured in ounces and you want to convert it to cups, you would divide the number of ounces by 8 to get the number of cups. For example, 24 fluid ounces of milk is equal to 3 cups.

It's important to note that there are different types of ounces, including fluid ounces and weight ounces. When dealing with liquids, it's typically assumed that the measurement is in fluid ounces, but when dealing with solid ingredients, the measurement is usually in weight ounces. In this case, the conversion factor between ounces and cups will depend on the specific ingredient being measured.

Now 1 cup means 8 fluid ounces.

So, 1/3 cup mean 8/3 = 2.67 fluid ounces.

Typically, most measuring cups will have markings for both cups and fluid ounces, and the measurement for 1/3 cup will be clearly marked on the cup. However, the specific design of the measuring cup can vary, so it's always a good idea to check the markings on your particular measuring cup to ensure that you are accurately measuring out the desired amount.

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So, 3 people can go to the amusement park with $69.75 for parking and admission.

Let pp be the number of people who can go to the amusement park.

An equation is a mathematical statement that asserts the equality of two expressions. The expressions are separated by an equal sign (=), and they can include numbers, variables, and mathematical operations.

The equation to determine the number of people is:

pp * 17.50 + 17.25 = 69.75

To solve for pp, we can subtract 17.25 from both sides of the equation:

pp * 17.50 = 52.50

And finally, we divide both sides by 17.50:

pp = 3

Therefore, 3 people can go to the amusement park with $69.75 for parking and admission.

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Considering that the angles are opposite by the same vertex, the relationship between angles B and C is given by:

Vertical Angles.

Researching this problem on the internet, it is found that there is a vertex, and angles are diagonal, also called opposite by the same vertex. These angles are also called vertical angles, hence this is what describes the relationship between these angles.

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The amount of interest John will get after 12 years given his savings and interest rate is 1,680 Euros

Simple interest is a type of interest rate paid only on principal. It is called by multiplying principal by interest rate by time.

Simple interest = principal × rate × time

= 14,000 × 0.01 × 12

= 1,680 Euros

In conclusion, given John's savings and interest rate, he'll earn 1,680 Euros as interest after 12 years.

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Answer:

480 guests took water

Step-by-step explanation:

40 people out of 100 people took soda

∴ \(\frac{40}{100}\) people out of 1 people took soda

∴ \(\frac{40x800}{100}\) people out of 800 people took soda

= 320 people took soda

∴ (800-320) = 480 people took water

Answer:

x = 9 ; 39 in. ; 156 in.

Step-by-step explanation:

Because it is a square, we know that all 4 sides are equal to each other.

This means we can take the two expressions and equal them to each other.

4x + 3 = 3(2x - 5)

4x + 3 = 6x - 15

-2x + 3 = -15

-2x = -18

x = 9

Now that we know the value of x, we can substitute it in to find the side length.

4(9) + 3

36 + 3

39 in.

Therefore, each side of the square is 39 in.

Finally, since we know all the side lengths are 39, we can find the perimeter by adding up all 4 side lengths.

p = 4(39) = 156 in.

Therefore, the perimeter of the square is 156 in.

The volume of the given hollow cylinder to the nearest whole number is 1102 cm³.

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry.

A cylinder has two distant, parallel circular bases. At a predetermined distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The height of the cylinder is defined as the distance between the two circular bases.

A cylinder that is hollow from the inside out and has a gap between its internal and external radii is referred to as a hollow cylinder. The hollow cylinder's base resembles an annular ring.

Given,

Inner radius r = 5cm

Outer radius R=8cm

Height h = 9 cm

The volume of a hollow cylinder =  π (R² - r²)h

                                                      = 3.14 *(8² - 5²)* 9 = 1102.14cm³

Therefore the volume of the given hollow cylinder to the nearest whole number is 1102 cm³.

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The per cent difference between the ID and the OD of the 3-inch conduit is approximately 15.38%.

To calculate the per cent difference between the inside diameter (ID) and the outside diameter (OD) of the conduit, use the following formula:
Percent Difference = (|OD - ID| / ((ID + OD) / 2)) * 100
In this case, the ID is 3.375 inches and the OD is 3.9375 inches. Plugging the values into the formula:
Percent Difference = (|3.9375 - 3.375| / ((3.375 + 3.9375) / 2)) * 100
Per cent Difference ≈ (0.5625 / 3.65625) * 100 ≈ 15.38%
The per cent difference between the ID and the OD of the 3-inch conduit is approximately 15.38%

To find the per cent difference between the ID and the OD of the conduit, we need to first calculate the difference between the two diameters.
The difference between the ID and the OD is:
OD - ID = 3.9375 - 3.375 = 0.5625 inches
Next, we need to calculate the average diameter of the conduit:
Average diameter = (OD + ID) / 2 = (3.9375 + 3.375) / 2 = 3.65625 inches
Finally, we can calculate the per cent difference between the ID and the OD using the formula:
Percent difference = (difference / average diameter) x 100%
Plugging in the values we found, we get:
Percent difference = (0.5625 / 3.65625) x 100% = 15.38%
Therefore, the per cent difference between the ID and the OD of the 3-inch conduit is 15.38%.

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Answer:

Step-by-step explanation:

√48 = √(3*16) = 4√3

                  √1                                      

√(1/49) = ------- = 1/7

                √49

                       √4

√(4/100) = --------------- = ±2/10 =                                                                                                                                                                                                                                                                                                                                                                              

                     √100

Answi tride so hard i dont know but i wish you luck

Step-by-step explanation:

Step-by-step explanation:

The value of c is 3.

To find the value of c if the given equation is ∞Σn=2 (1c)⁻ⁿ = 8, we need to first understand that this is a geometric series with a common ratio of (1/c) and starting from n=2. The sum of an infinite geometric series can be found using the formula S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio.

In this case, the first term (a) is (1/c)⁻², which simplifies to c², and the common ratio (r) is 1/c. We plug these values into the formula and get:

8 = c²/ (1 - (1/c))

Solving for c, we find that c = 3. Therefore, the value of c in the given equation is 3.

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Answer:

(1,2)

Step-by-step explanation:

1. plug x into the equation:

\(2<\frac{2}{3}(1)+2\)

2. simplify:

\(2<\frac{2}{3}+2\)

\(2<\frac{2}{3}+\frac{6}{3}\)

\(2<\frac{8}{3}\)

since 8/3 is greather than 2, (1,2) is a solution

Answer:

1086

Step-by-step explanation:

let 4x=bigger number x=smaller number

4x+x=2715

5x=2715

5x/5=2715/5

x=543 (smaller number)

4x=4(543)=2172 (bigger number)

so

2172+543=2715

then

What is TWICE of the smaller number?

543*2=1086

The net outward flux across the boundary of the tetrahedron is: 5, using the concept of gradient of function.

The gradient of a function is related to a vector field and it is derived by using the vector operator ∇ to the scalar function f(x, y, z).

Given vector field:

F = ( -x, 3y, 2 z )

Δ . F = (i δ/δx + j δ/δy + k δ/δz) (-x, 3y, 2 z )

Δ . F = [δ/δx(-x)] + δ/δy (3y) + δ/δz (2z)]

Δ . F = - 1 + 3 + 2

Δ . F = 4

According to divergence theorem;

Flux =  ∫∫∫ Δ . (F) dv

x+y+z = 1; so, 1st octant

∫₀¹∫₀¹⁻ˣ∫₀¹⁻ˣ⁻y (4) dz dy dx

= 4 ∫₀¹∫₀¹⁻ˣ (1 - x - y) dy dx

= 5

Therefore, we can conclude that the net outward flux across the boundary of the tetrahedron is: 5

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Answer:

The total number of winners is 17.

Step-by-step explanation:

Let's assume that the number of winners is "x". Then the number of participants who did not win is "45 - x".

The amount of money awarded to the winners is 1000x rupees.

The amount of money awarded to the participants who did not win is 200(45 - x) rupees.

According to the question, the total amount of prize money distributed is 22600 rupees. So we can write:

\(\sf\implies 1000x + 200(45 - x) = 22600 \)

Simplifying this equation:

\(\sf\implies 1000x + 9000 - 200x = 22600 \)

\(\sf\implies 800x = 13600 \)

\(\sf\implies x = 17 \)

Therefore, the total number of winners is 17.

Hope it helps!

Answer:

1.Neither

2.Perpendicular

3.Parallel

Step-by-step explanation:

y - 3 = 6(x + 2) Isn't anything,

y + 3 = -(1/3) Is definitely Perpendicular

(x - 4) Seems to be parallel.

This is one of my first times answering,I sure hope this helps!

Answer:

555.37

Step-by-step explanation:

V = 4/3 πr^3

Answer:

For the first one,

x=6 and y=16

Step-by-step explanation:

If I think of any more then I will tell you

Answer:

120 ft, 5 qt

Step-by-step explanation:

3 feet in every yard, so 40 x 3 = 120 feet

4 quarts in every gallong, so 20 / 4 = 5

Answer:

18 goals this season.

Step-by-step explanation:

First, we must identify what the question is asking.

13 goals last season, 5 more this season.

How many this season?

Well, if he scored more this season, we know this is going to be an addition problem.

Since he scored 13 last season a 5 more this season, we must add 13 and 5.

13 + 5 = 18 :D

Answer:

18 goals this season

Step-by-step explanation:

Well we are trying to find the answer to this season.

If he scored more goals than last season (13), you will need to add.

13+5= 18

Hope this helps!

1) The set S is: {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}.
2) The Cartesian product A x B is: {(a, a), (a, d), (b, a), (b, d), (c, a), (c, d)}.
3) The cardinality of set A is 3, as A contains three elements: {a, b, c}.

1) The members of the set S are: {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}. To get this set, we start with the set of odd positive integers {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, ...}, and then we restrict it to those that are less than 20.
2) The Cartesian product of A and B is: {(a,a), (a,d), (b,a), (b,d), (c,a), (c,d)}. To get this, we take every possible ordered pair where the first element comes from A and the second element comes from B.
3) The cardinality of a set is the number of elements in the set. So, to find the cardinality of a set, we simply count how many elements are in the set. For example, if we have a set {1, 2, 3}, the cardinality of the set is 3.
1) The members of the set S are determined by the given conditions: x is an odd positive integer and x < 20. To find the members of S, list all odd positive integers less than 20. The set S is: {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}.
2) The Cartesian product of sets A and B, denoted as A x B, is the set of all ordered pairs (a, b) where a is an element of A and b is an element of B. Given A = {a, b, c} and B = {a, d}, the Cartesian product A x B is: {(a, a), (a, d), (b, a), (b, d), (c, a), (c, d)}.
3) The cardinality of a set is the number of elements in the set. To find the cardinality of set A, count the number of elements in A. The cardinality of set A is 3, as A contains three elements: {a, b, c}.

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The measure of the angles are

m ∠1 = 60°

m ∠2 = 39°

m ∠3 = 21°

m ∠4 = 39°

m ∠5 = 21°

From the question, we are to determine the measure of the unknown angles.

From the given information,

ΔWZY is an isosceles triangle

Thus,

The base angles of ΔWZY are equal

That is,

∠3 ≅ ∠5

Also, we can write that

138° + m ∠3 + m ∠5 = 180° (Sum of angles in a triangle)

But, m ∠3 = m ∠5

Thus,

138° + m ∠3 + m ∠3 = 180°

m ∠3 + m ∠3 = 180° - 138°

2 × m ∠3 = 42°

m ∠3 = 42°/2

m ∠3 = 21°

Therefore,

m ∠5 = 21°

Also,

From the given information, ΔWXY is an equilateral triangle

Thus,

m ∠1 = 60°

and

m ∠2 + m ∠3 = 60°

m ∠4 + m ∠5 = 60°

Now, we will determine the measure of ∠2

m ∠2 + m ∠3 = 60°

m ∠2 + 21° = 60°

m ∠2 = 60° - 21°

m ∠2 = 39°

Also,

m ∠4 + m ∠5 = 60°

m ∠4 + 21° = 60°

m ∠4 = 60° - 21°

m ∠4 = 39°

Hence,

m ∠1 = 60°

m ∠2 = 39°

m ∠3 = 21°

m ∠4 = 39°

m ∠5 = 21°

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Answer:

J.o.i.n p.l.z pqp-yuth-ygd

I have chosen the consumer electronics industry for my sample business model.

Pricing: In the consumer electronics industry, pricing is highly competitive. To make a profit, I will need to price my products competitively while still covering my costs. I will do this by sourcing high-quality, affordable components and negotiating with suppliers to get the best possible prices.

Marketing: To attract customers, I will focus on marketing my products through targeted advertising on social media platforms, as well as through partnerships with influencers and tech bloggers. I will also offer regular promotions and discounts to incentivize purchases.

Location: In the consumer electronics industry, location is less important than online presence. Therefore, I will focus on building a strong online presence through a user-friendly website and active social media accounts.

Costs: My main costs will be the cost of goods sold (i.e., the cost of the components and manufacturing), as well as marketing and advertising costs. I will also need to factor in the cost of shipping and fulfillment.

Profit: My profit will come from the difference between the price I sell my products for and the costs associated with producing and selling those products. By sourcing affordable components and keeping my marketing costs low, I expect to make a healthy profit in the consumer electronics industry.

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Answer:

1, 768

2, 2088

3, 7789

4, 1828

5, 1435.