Write the correct inequality for the following statement and then solve for the given number of
guests.

You are in charge of planning your mother's surprise party. You have
found a hall that rents for $225 and a caterer that will charge you $15 per
guest. Write an inequality to calculate your total cost (T) based on the
number of guests (g).


If you have a total budget of $1000 how many guests can you
invite?

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

The value of PQ in similar parallelograms is 37.5cm

The opposite sides and opposite angles of a parallelogram are equal. And these opposite sides and angles form two congruent triangles, with the two diagonals being the sides of these two congruent triangles.

Hence, the diagonals of the parallelogram are equal. In the parallelogram, we assume similar sides are equal and we can use the ratio to find unknown sides.

XY/QR = XP/PQ

Let's substitute for the unknown and find PQ24/60

= 15/PQPQ = (60 * 15)/ 24PQ

= 37.5cm

The length of PQ is 37.5cm

Learn more on similar side parallelogram here;

https://brainly.com/question/22980059

#SPJ1

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

Read more about feasible region at

https://brainly.com/question/29084868

#SPJ1

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

Read more about equations at

https://brainly.com/question/148035

#SPJ1

Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

The perimeter of the composite figure that is given above would be = 96.6m.

To calculate the perimeter of the given shape, it has to be divided into two.

First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)

Where ;

length = 16m

width = 11m

perimeter = 2(16+11)

= 2×27

= 54m

The second shape:

Perimeter of triangle = l+w+h

where;

length = 18-11 = 7m

width = 16m

height = 19.5m

perimeter = 7+16+19.5 = 42.5m

Therefore, the perimeter of the shape = 54+42.5 = 96.6m

Learn more about perimeter here:

https://brainly.com/question/31619854

#SPJ1

Answer:

I need more to answer your question

Step-by-step explanation:

The end behavior of the given function is As x → –∞, f(x) → –∞, and as x → ∞, f(x) → –∞.

The term "end behavior" describes the behaviour or trend of a function's graph as its x-values go closer to positive or negative infinity. It explains how the function "ends" or acts when x is extremely large (positive infinity) or extremely small (negative infinity). The degree and leading coefficient of the polynomial formulation of the function can be used to predict the final behaviour. For instance, the left and right ends of the graph will both point upward for a function with an odd-degree polynomial and a positive leading coefficient (towards positive infinity).

For the function f(x) = -2∛x as x approaches negative infinity because the function has a negative coefficient in front of the cube root, which means that as x decreases significantly, the absolute value of the cube root increases. The function also approaches negative infinity as x approaches very big (positive) values and the cube root approaches very small absolute values. As a result, the function's final behaviour is that it approaches negative infinity as x gets closer to both negative and positive infinity.

Learn more about end behavior here:

https://brainly.com/question/29036038

#SPJ1

The end behavior of the given function is As x → –∞, f(x) → –∞, and as x → ∞, f(x) → –∞.

The term "end behavior" describes the behaviour or trend of a function's graph as its x-values go closer to positive or negative infinity. It explains how the function "ends" or acts when x is extremely large (positive infinity) or extremely small (negative infinity). The degree and leading coefficient of the polynomial formulation of the function can be used to predict the final behaviour. For instance, the left and right ends of the graph will both point upward for a function with an odd-degree polynomial and a positive leading coefficient (towards positive infinity).

For the function f(x) = -2∛x as x approaches negative infinity because the function has a negative coefficient in front of the cube root, which means that as x decreases significantly, the absolute value of the cube root increases. The function also approaches negative infinity as x approaches very big (positive) values and the cube root approaches very small absolute values. As a result, the function's final behaviour is that it approaches negative infinity as x gets closer to both negative and positive infinity.

Learn more about end behavior here:

https://brainly.com/question/29036038

#SPJ1

Answer:

The function f(x) = -2∛x represents a cube root function that is multiplied by -2.

As x approaches negative infinity, the cube root of x becomes more negative, and when it is multiplied by -2, it becomes more positive. Therefore, as x → –∞, f(x) → ∞.

As x approaches positive infinity, the cube root of x becomes more positive, and when it is multiplied by -2, it becomes more negative. Therefore, as x → ∞, f(x) → –∞.

Therefore, the correct answer is: As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞. D.

Answer:

The function f(x) = -2∛x represents a cube root function that is multiplied by -2.

As x approaches negative infinity, the cube root of x becomes more negative, and when it is multiplied by -2, it becomes more positive. Therefore, as x → –∞, f(x) → ∞.

As x approaches positive infinity, the cube root of x becomes more positive, and when it is multiplied by -2, it becomes more negative. Therefore, as x → ∞, f(x) → –∞.

Therefore, the correct answer is: As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞. D.

Answer:

here is your ans

mark it as brainliest if you think so❤️

9514 1404 393

Answer:

  3)  (0, 0)

  4)  (-1, 2)

Step-by-step explanation:

I find a graphing calculator provides a quick solution to a system of linear equations.

3) The solution is (x, y) = (0, 0)

4) The solution is (x, y) = (-1, 2)

__

In each case, the y-term can be eliminated by multiplying the first equation by 3. For problem 3) the resulting equations must be added. For problem 4), the resulting equations must be subtracted.

Answer:

2.22222222222

Step-by-step explanation:

Answer:

2 2/9 or 20/9

Step-by-step explanation:

Answer:

15,000

Step-by-step explanation:

First, round both the numbers:

34,182 rounds down to 34,000

18,717 rounds up to 19,000

Subtract you're two rounded numbers

34,000 - 19,000 = 15,000

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

Answer:

4778.4

Step-by-step explanation:

The volume of a cone is given by:

(π•r²•h)/3

(π•13²•27)/3

(π•169•27)/3

(4,563•π)/3

14,334.66/3=4778.4

The only ordered pair that is a solution to the given system of inequalities is (0, -1).

Inequalities are mathematical statements that describe a relationship between two values or expressions that are not necessarily equal. In an inequality, the symbols "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to) are used to indicate the relationship between the expressions.

In the given questions,

To determine if an ordered pair is a solution to a system of inequalities, we must check if the pair satisfies all the inequalities in the system.

For the given system of inequalities:

y < -x² + x

y > x² - 4

Checking each of the given ordered pairs:

(0, -1):

-1 < -0² + 0 is true

-1 > 0² - 4 is true

So, (0, -1) is a solution to the system of inequalities.

(1, 1):

1 < -1² + 1 is false

1 > 1² - 4 is true

So, (1, 1) is not a solution to the system of inequalities.

(2, -3):

-3 < -2² + 2 is true

-3 > 2² - 4 is false

So, (2, -3) is not a solution to the system of inequalities.

(3, -6):

-6 < -3² + 3 is false

-6 > 3² - 4 is false

So, (3, -6) is not a solution to the system of inequalities.

Therefore, the only ordered pair that is a solution to the given system of inequalities is (0, -1).

To know more about inequalities, visit:

https://brainly.com/question/13053559

#SPJ1

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

For more such question on function. visit :

https://brainly.com/question/11624077

#SPJ8

Answer:

Right angled and isosceles

The similarity between the two Historical posters is that - Both posters use images to attract attention and help convey a message.

Poster is a temporary promotion and set up of an idea, product, or event put up in a public space for mass consumption.

Predominantly, posters include both textual and graphic elements, although a poster may be either wholly graphical or wholly text. Posters are designed to be both eye-catching and informative.

Posters may be used for many purposes. They are a frequent tool of advertisers, propagandists, protestors, and other groups who are trying to communicate a message among people.

Posters are also used for reproductions of artwork, particularly famous works, and are generally low-cost compared to the original artwork. The modern poster, as we know it, however, dates back to the 1840s and 1850s when the printing industry perfected color lithography and made mass production possible.

An image can be described as an artifact, such as a photograph or other two-dimensional picture, that resembles a subject usually a physical object and thus provides a depiction of it.

An image is a distributed amplitude of colors. A pictorial script is a writing system that employs images as symbols for various semantic entities, rather than the abstract signs used by alphabets.

Images may be two or three-dimensional, such as a photograph or screen display, or three-dimensional, such as a statue or hologram.

Images can be captured through optical devices – such as cameras, mirrors, lenses, telescopes, microscopes, etc. and natural objects and phenomena, such as the human eye or water.

Hence, option C is correct.

To learn more about Posters here

https://brainly.com/question/27859251

#SPJ2

Answer:

---------------

Let the numbers be s and l.

We are given that:

Set up equations:

Eliminate l:

Solve for s:

Find l:

Answer:

3 of the cities surveyed had only a professional sports​ team.

Step-by-step explanation:

We solve this question treating these as Venn sets.

I am going to say that:

Set A: professional sports team.

Set B: Symphony.

Set C: Children's museum.

We start building from the intersection of these three.

6 had all three activities.

This means that \(A \cap B \cap C = 6\)

10 had a symphony and a​ children's museum,

This means that:

\((B \cap C) + (A \cap B \cap C) = 10\)

\((B \cap C) + 6 = 10\)

\((B \cap C) = 4\)

That is, 4 have only the symphony and children's museum, while 6 have all three.

10 had a professional sports team and a​ children's museum

\((A \cap C) + (A \cap B \cap C) = 10\)

\((A \cap C) + 6 = 10\)

\((A \cap C) = 4\)

14 had a professional sports team and a​ symphony

\((A \cap B) + (A \cap B \cap C) = 14\)

\((A \cap B) + 6 = 14\)

\((A \cap B) = 8\)

21 had a professional sports team

This means that:

\((A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 21\)

In which (A - B - C) represents the cities which had only a sports team. So

\((A - B - C) + 8 + 4 + 6 = 21\)

\((A - B - C) = 3\)

3 of the cities surveyed had only a professional sports​ team.

Answer:

asjjasajsjjsjajsjj (thanxx)

If she wants to build a bug barn with volume greater than the one she found on internet, than its volume should be greater than 84 cubic inches.

The volume of cuboid is -

V = L x B x H

Given is that Wendy searched the internet and found a bug bed that is 7 inches long 4 inches wide and 3 inches tall . She wants to build a bug barn with volume greater than this.

The volume should be greater than -

V{barn} > {4 x 3 x 7}

V{barn} > 84 cubic inches

Therefore, if she wants to build a bug barn with volume greater than the one she found on internet, than its volume should be greater than 84 cubic inches.

To solve more questions on volumes, visit the link-

brainly.com/question/30098550

#SPJ1

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Let the second side = x

The first side is 2x ( 2 times the second side)

The third side is x + 6 ( 6 feet longer than the second side)

Now you have: x + 2x + x + 6 = 34

Simplify to get:

4x + 6 = 34

Subtract 6 from both sides

4x = 28

Divide both sides by 4:

X = 7

1st side = 2x = 2*7 = 14 feet

2nd side = x = 7 feet

3rd side = x + 6 = 7 + 6 = 13 feet

hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((

Answer: D

Step-by-step explanation: on desmos you put in f(x)= x^2 then try all the options and see which graph resembles g(x)

Answer: No. Zeke found the LCM to be the product of two and eight but because eight is a multiple of two the LCM is eight so the first day he will have both clubs is the 8th day of the month

Step-by-step explanation:

all you have to do is fine the least common multiple of 2 and 8 which is eight so obviously zeke is incorrect because they said the least common multiple was 16 and it is not. zeke multiplied 2 and 8 which is not what you’re supposed to do to get the lcm.

Answer:

The answer is B, C, D, and E

Step-by-step explanation:

I hope this helps!

Considering what an incenter of a triangle is, the statements that will be true given the diagram attached below are:

\(B. $ DG \cong FG\\\\C. $ DG \cong BG\\\\\)

D. \(\overline{GE}\) bisects ∠DEF

E. \(\overline{GA}\) bisects ∠BAF

The diagram of the triangle with an incenter that is being referred to has been attached in the image below.

Recall:

Therefore, considering what an incenter of a triangle is, the statements that will be true given the diagram attached below are:

\(B. $ DG \cong FG\\\\C. $ DG \cong BG\\\\\)

D. \(\overline{GE}\) bisects ∠DEF

E. \(\overline{GA}\) bisects ∠BAF

Learn more here:

https://brainly.com/question/8477889

The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1