Tran is in charge of the school's Awards Dinner. She set up the multi-purpose room with a stage in front and round tables for parents, students, and family members to sit around for dinner. Below is the floorplan that she drew for the eventStageHow many people can be seated as the tables are arranged right now? (In the box below, type your answer as a number only

Tran Is In Charge Of The School's Awards Dinner. She Set Up The Multi-purpose Room With A Stage In Front

Answers

Answer 1

Tran has made a plan with 12 tables for 8 people each of them. Then, we have 12 tables * 8 ( amount of chairs each of them) = 96. So 96 people can be seated.


Related Questions


Find the domain of the function f(x)=√100x²

Answers

The domain of the function √(100x²) will be (-∞,∞) as the definition of domain states that the set of inputs that a function will accept is known as the domain of the function in mathematics

What is domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the set of values it can take as input.

What is function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Here,

The function is √(100x²).

The domain would be (-∞,∞).

The set of inputs that a function will accept is known as the domain of the function in mathematics, and the domain of the function √(100x²) will be (-∞,∞), according to the definition of domain.

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The Thompson family and the Kim family each used their sprinklers last summer. The Thompson family's sprinkler was used for 25 hours. The Kim family'ssprinkler was used for 35 hours. There was a combined total output of 1075 L of water. What was the water output rate for each sprinkler if the sum of the tworates was 35 L per hour?Thompson family's sprinkler:Kim family's sprinkler:

Answers

Let x be the rate of water output by the Thompson family and let y be the rate of water output by the Kim family.

We know that the Thompson family sprinkler was used for 25 hours, Kim's family sprinkler was used for 35 hours and that there was a combined total output of 1075 L of water; then we have the equation:

[tex]25x+35y=1075[/tex]

We also know that the combined water output was 35 L per hour, then:

[tex]x+y=35[/tex]

Hence we have the system of equations:

[tex]\begin{gathered} 25x+35y=1075 \\ x+y=35 \end{gathered}[/tex]

To solve this system we solve the second equation for y:

[tex]\begin{gathered} x+y=35 \\ y=35-x \end{gathered}[/tex]

And we plug this value in the first equation and solve for x:

[tex]\begin{gathered} 25x+35(35-x)=1075 \\ 25x+1225-35x=1075 \\ -10x=1075-1225 \\ -10x=-150 \\ x=\frac{-150}{-10} \\ x=15 \end{gathered}[/tex]

Once we have the value of x we plug it in the expression of y:

[tex]\begin{gathered} y=35-15 \\ y=20 \end{gathered}[/tex]

Therefore we have that:

[tex]\begin{gathered} x=15 \\ y=20 \end{gathered}[/tex]

which means:

Thompson family's sprinkler: 15 L per hour

Kim family's sprinkler: 20 L per hour.

PartBecause his goal is to bike 65 miles over four days, what equation can be used to find the number of miles he should bike on the first day, X? Donot combine like terms.

Answers

On the first day, he biked x miles

The next day, he will bike

Answer each part. If necessary, round your answers to the nearest hundredth.х5?(a) At Hoffman's Bike Rentals, it costs $31 to rent a bike for 7 hours.How many dollars does it cost per hour of bike use?Il dollars per hour(b) A color printer prints 10 pages in 3 minutes.How many minutes does it take per page?minutes per pageCheck0 2021 McGraw Hill Education All Rights.

Answers

EXPLANATION

If it cost $31/7 hours, we can apply the unitary method to get the unit cost:

[tex]\text{unit price=}\frac{31\text{ dollars}}{7\text{ hours}}=4.42\text{ dollars/hours}[/tex]

It will cost 4.42 dollars/hours

We can apply the same reasoning to the printer.

Can someone help out with a math prob?
pic of question below

Answers

The polar equation of the curve with the given Cartesian equation is r = √7

How to convert polar equation to cartesian equation

Given the Cartesian equation: x² + y² = 7

The relationships between polar and cartesian equation :

x = r cosθ

y = r sinθ

Where r is the radius and θ is the angle

Put the values of x and y into the given cartesian equation:

(r cosθ)² + (r sinθ)² = 7

r²cos²θ + r²sin²θ = 7

r²(cos²θ + sin²θ) = 7

Since the trigonometric identity cos²θ + sin²θ = 1

r²(1) = 7

r² = 7

r = √7

Therefore, the polar equation for the represented curve is r = √7

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RecoverySolve for x usingcross multiplication.2x + 132x11 -=x + 22x = [?]Enter

Answers

Answer:

x = 4

Step-by-step explanation:

Cross-multiplying means multiplying the numerator of one side by the denominator of the other side.

So, let's multiply the sides:

[tex]\begin{gathered} \frac{2x+1}{3}=\frac{x+2}{2} \\ 2\cdot(2x+1)=3\cdot(x+2) \end{gathered}[/tex]

Now, we can solve each side:

[tex]\begin{gathered} 4x+2=3x+6 \\ 4x-3x=6-2 \\ 1x=4 \\ x=4 \end{gathered}[/tex]

So, x = 4.

x - 2/5 = 7 what is the value of x?write answer in simplest form.

Answers

[tex]x=\text{ 7}\frac{2}{5}[/tex]

Explanation:

x - 2/5 = 7

Collect like terms:

[tex]\begin{gathered} x\text{ = 7 + }\frac{2}{5}=\text{ }\frac{7}{1}+\frac{2}{5} \\ \text{LCM = 5} \end{gathered}[/tex][tex]\begin{gathered} x=\frac{35\text{ + 2}}{5}\text{ = }\frac{37}{5} \\ x=\text{ 7}\frac{2}{5} \end{gathered}[/tex]

I need help answering this question, if you can thank you very much.

Answers

Answer: We have to factor out the polynomial which is:

[tex]x^2+6x-16[/tex]

The factorization is as follows:

[tex]\begin{gathered} \text{ Method:} \\ \\ (x+a)(x+b)=x^2+(a+b)x+ab \\ \\ \\ ----------------------- \\ \text{ Solution:} \\ \\ x^2+6x-16 \\ \\ \text{ The unknowns }\rightarrow\begin{cases}ab={-16} \\ a+b={6}\end{cases} \\ \\ \\ \text{ The possible values are:} \\ \\ \\ a=8 \\ b=-2 \\ \\ \\ \text{ Because:} \\ \\ \\ (8)\times(-2)=-16 \\ (8)+(-2)=6 \\ \\ \\ \text{ Therefore the factored form is:} \\ \\ \\ (x+8)(x-2)=x^2+6x-16 \end{gathered}[/tex]

4x-6a(8x)/98y Solve for x

Answers

1) Solving for x, the following equation:

We're going to isolate the x variable on the left:

[tex]4x-6a\frac{8x}{98y}[/tex]

Please help! ♥️I have to get it done by the end of today thank youu sm♥️

Answers

The center of circle is P, diameter of circle is RQ and three radii are PR, PQ, PS.

What is circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.

From the given figure:

P = Center of circle

RQ =  diameter of circle

PQ,PS,PR = radii of circle

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los números que faltan.
What comes after
3.0

Answers

Answer:

3.1? 4.0? 3.0000001?

I did not know what are you mean sorry but uf i correct say me it

3 4. Diego estimates that there will need to be 3 pizzas for every 7 kids at his party. Select all the statements that express this ratio. (Lesson 2-1) (A.) The ratio of kids to pizzas is 7 : 3. B.) The ratio of pizzas to kids is 3 to 7. The ratio of kids to pizzas is 3: 7. (D. The ratio of pizzas to kids is 7 to 3. E. For every 7 kids, there need to be 3 pizzas.​

Answers

The statements in (A), (B), (E) are correct and satisfy the conditions in question.

What is ratio and proportion?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion. Because b is not equal to 0, the ratio establishes the link between two quantities such as a:b.

Given, for every 7 kids, pizzas needed = 3 --(iii)
Therefore, for every 1 kid, pizza needed = (3/7)
Thus, for every x kids, pizza needed = (3/7)x
Again, ratio of pizzas to kids is = 3:7 --(i)
Also, the ratio of kids to pizza is = 7:3 --(ii)
From (A), using (ii), the statement in (A) is correct.
From (B), using (ii), the statement in (B) is correct.
From (C), using (i), the statement in (C) is incorrect.
From (D), using (i), the statement in (D) is incorrect.
From (E), using (iii), the statement in (E) is correct.
Thus, the statements in (A), (B), (E) are correct and satisfy the conditions in question.

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A small publishing company is planning to publish a new book. Let C be the total cost of publishing the book (in dollars). Let be the number of copies of the book produced. For the first printing, the company can produce up to 100 copies of the book. Suppose that C = 10N + 700 gives C as a function of N during the the correct description of the values in both the domain and range of the function. Then, for eachchoose the most appropriate set of values.

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

C = 10N + 700

Step 02:

functions:

C = total cost

N = number of copies

Domain:

number of copies produced

{0, 1, 2, 3, .... 100}

Range:

cost of publishing book (in dollars)

{700, 710, 720, 730, ... 1700}

That is the full solution.

Given the following information about events A, B, and C, determine which pairs of events, if any, are independent andwhich pairs are mutually exclusive.

Answers

Let's begin by identifying key information given to us:

[tex]\begin{gathered} P(A)=0.39 \\ P(B)=0.42 \\ P(C)=0.19 \\ P(A|B)=0 \\ P(C|B)=0.19 \\ P(A|C)=0.39 \end{gathered}[/tex]

When two events A and B are independent we have it thus:

[tex]undefined[/tex]

Which of the following is a correct interpretation of the expression -8 + (-8)?

Answers

The solution is:

*The expression describes the number that is 8 to the left of -8 on the number line. [Option A].

There are two boxes containing only red and purple pens.Box A has 12 purple pens and 3 red pens.Box B has 14 purple pens and 6 red pens.A pen is randomly chosen from each box.List these events from least likely to most likely.Event 1: choosing a purple or red pen from Box A.Event 2: choosing a green pen from Box B.Event 3: choosing a purple pen from Box B.Event 4: choosing a purple pen from Box A.Least likelyMost likelyEventEventEventEvent

Answers

Event 1: choosing a purple or red pen from Box A

All pens are purple or red so the probability is:

[tex]P=\frac{12+3}{15}=\frac{15}{15}=1[/tex]

Event 2: choosing a green pen from Box B

We don't have green pens, so the probability is 0.

Event 3: choosing a purple pen from Box B

We have 14 purple pens and 20 total pens, so:

[tex]P=\frac{14}{20}=\frac{7}{10}=0.7[/tex]

Event 4: choosing a purple pen from Box A

We have 12 purple pens and 15 total pens, therefore:

[tex]P=\frac{12}{15}=\frac{4}{5}=0.8[/tex]

Listing from least likely to most likely, we have:

event 2 < event 3 < event 4 < event 1

Answer:

Event 2, Event 3, Event 4, Event 1

15. Find the volume of a rectangular prism with the following dimensions.a length of 11 cm, a width of 4.2 cm, and a height of 7.1 cm.3308.24 cm3328.02 cm322.3 cm346.2 cm

Answers

For this problem, we are given the dimensions of a rectangular prism and are asked to determine its volume.

The volume of a rectangular prism is given by the product of the three dimensions, therefore we have:

[tex]\begin{gathered} V=\text{ height}\cdot\text{ length}\cdot\text{ width}\\ \\ V=11\cdot4.2\cdot7.1=328.02\text{ cubic cm} \\ \end{gathered}[/tex]

The correct answer is 328.02 cubic centimeters.

Hello! I need some help with this homework question, please? The question is posted in the image below. Q4

Answers

a) f(0) = -1

b) f(1) = 1

c) f(4) = 7

d) f(5) = 121

Explanation:

. Since for every value between -2 (excluded) and 4 (included)

~ 0 , 1 and 4

You have to use the first equation

=> f(0) = 2 * 0 - 1 = -1

=> f(1) = 2 * 1 - 1 = 1

=> f(4) = 2 * 4 - 1 = 7

. For values between 4 (exclude) and 5(included)

~ 5

You have to use the second equation

=> f(5) = 5^3 - 4 = 121

Find the distance between the pair of parallel lines with the given equations.y = -5xy = -5x + 26O A) 5 unitsO B) 14.14 unitsC) C) 5.10 unitsO D) 6 units

Answers

Solution:

Consider two lines with the following equations:

[tex]y_1=mx+c[/tex]

and

[tex]y_2=mx+c_2[/tex]

the distance d between these two parallel lines is given by the following equation:

First, we need to take one of the lines and convert it to standard form. For example, take the line:

y = -5x + 26

then, we obtain:

-5x-y+26=0

in this case, we get that

A = -5

B= -1

C = 26

Now we can substitute A, B, and C into our distance equation along with a point, (x1,y1) from the other line. We can pick any point on the line y2. Just plug in a number for x, and solve for y. I will use x = 2, to obtain:

y = -5(2) = -10

then

(x1,y1) = (2,-10)

Replacing these values into the distance equation, we obtain:

[tex]d\text{ = }\frac{|-5(2)+(-1)(-10)+26|}{\sqrt[]{(-5)^2+(-1)^2}}[/tex]

that is:

[tex]d\text{ = }\frac{|-10+10+26|}{\sqrt[]{(-5)^2+(-1)^2}}=\frac{26}{\sqrt[]{26}}=5.09\approx5.10[/tex]

so that, the correct answer is:

[tex]5.10\text{ units}[/tex]

determine whether the equation is linear to x. 5-3x=0

Answers

By definition a linear equation is an equation in which the highest power of any variable in the equation is always 1. In this case we have the equation:

[tex]5-3x=0[/tex]

We notice that this equation only has one variable, x, and that its power is 1. Therefore, the equation is linear.

what is 140% 150,000

Answers

140 % of 150,000

[tex]\begin{gathered} 140\text{ \%=}\frac{140}{100} \\ \frac{140}{100}\times150000=\frac{21000000}{100}=210,000 \end{gathered}[/tex]

7. Simplify(6x + y)s

Answers

Answer:

6xs + ys

Explanations:

The given expression is:

(6x + y)s

This can be simplified by simplying expanding the brackets

The equation then becomes:

6xs + ys

Answer:

6xs + ys

Step-by-step explanation:

What is the area of this triangule? h = 12 in, b = 3 in

Answers

Answer:

Area = 18

Explanation:

The area of a triangle is given by

Area = 1/2 height * base length

Now in our case

height = 12 in, base length = 3 in; therefore, the area is

Area = 1/2 * 12 * 3

Area = 6 * 3

Area = 18

Which is our answer!

A skier is trying to decide wheter or not to buy a seaskn ski pass. A daily pass cost $71. a season ski pass costs $350. the skirr would have to rent skis with either pass for $30 per day. how many days would the skier have to go skiing i. order to make the season pass less expensive than the daily passes?

Answers

The most appropriate choice for linear equation will be given by -

The skier would have to go atleast 5 days to make the season pass less expensive than the daily pass

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , \geq, < , \leq[/tex] sign

A one degree inequation is known as linear inequation.

Here,

Let the number of days the skier have to go skiing in order to make the season pass less expensive than the daily passes  be d days

A daily pass cost $71

A season ski pass costs $350.

The skier would have to rent skis with either pass for $30 per day.

Cost of skiing with daily pass = $(71d  + 30d) = $101d

Cost of skiing with season pass  = $(350 + 30d)

By the problem,

[tex]101d > 350 + 30d\\101d - 30d > 350\\81d > 350\\d > \frac{350}{81}\\d > 4.3[/tex]

The skier would have to go atleast 5 days to make the season pass less expensive than the daily pass

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Solve the equation.k²=47ks.(Round to the nearest tenth as needed. Use a comma to separate answers as needed.

Answers

The initial equation is:

[tex]k^2=47[/tex]

Then, we can solve it calculating the square root on both sides:

[tex]\begin{gathered} \sqrt[]{k^2}=\sqrt[]{47} \\ k=6.9 \\ or \\ k=-6.9 \end{gathered}[/tex]

Therefore, k is equal to 6.9 or equal to -6.9

Answer: k = 6.9 or k = -6.9

Convert each slope-intercept or point slope equation into standard form.

y - 3 = 1/5(x + 6)

Answers

The Standard form of the equation will be as x - 5y = -21

What is Standard form of equation?

The standard form of the equation is defined as; Ax + By = C

Where, A, B and C are integers.

Given that the equation in slope - intercept form is;

⇒ y - 3 = 1/5 (x + 6)

Now,

We need to convert the equation in standard form as;

⇒ y - 3 = 1/5 (x + 6)

Now Change into standard form as;

⇒ y - 3 = 1/5 (x + 6)

Then Multiply by 5 both side, we get:

⇒ 5( y - 3) = (x + 6)

⇒ 5y - 15 = x + 6

⇒ 5y = x + 21

Now Subtract 21 both side, we get:

⇒ 5y - 21 = x + 21 - 21

⇒ 5y - 21 = x

⇒ - 21 = x - 5y

⇒ x - 5y = -21

Therefore,

The Standard form of the equation will be as x - 5y = -21

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A sole trader operates his business from
a warehouse, which has been damaged
by a fire, which occurred at the end of
the financial year. After the fire, the
remaining inventory that is undamaged
amounts to GHC 2,000 (cost). The
accountant establishes the following
information: I Inventory at the
beginning of the year was GHC 16,000 II
Purchases during the year were GHC
115,000 III Sales during the year were
GHC 140,000 IV The trader sells his
goods at a mark-up of 25% of cost What
is the value of the inventory lost in fire?

Answers

Beginning inventory = 16,000 Purchase = 115,000 Sales = 140,000 Mark up = 25% on cost Undamanged inventory = 2,000

The value of the inventory lost in fire is 2,000

How do you take inventory loss due to fire into account?

The cost of products available for sale is then subtracted from the cost of goods sold. The quantity will reflect how much inventory the fire has actually destroyed. As an illustration, $275,000 minus $80,000 = $195,000, which represents the amount of inventory destroyed in the fire.

Calculate the quantity of inventory destroyed by deducting the cost of sold goods from the cost of goods that are still in stock. In this scenario, the amount of merchandise lost in the fire was $275,000 less $70,000, or $205,000.

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the following augmented matrix is in row-echelon form and represents a linear system. solve the system by using back-substitution if possible.

Answers

Given the matrix:

Given that it represents a linear system, we have the set of equations:

(1)x + 3y = 6

0x + (1)y = -1

x + 3y = 6..................equation 1

y = -1.........................equation 2.

Let's solve the system using substitution method.

Substitute -1 for y in equation 1:

x + 3(-1) = 6

x + (-3) = 6

x - 3 = 6

Add 3 to both sides:

x - 3 + 3 = 6 + 3

x = 9

From equation 2, we have the value of y:

y = -1

Therefore, the solution to the system is:

x = 9, y = -1

In point form:

(x, y) ==> (9, -1)

ANSWER:

x = 9, y = -1

Find the value of f(-9).

Answers

The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.

What is meant by the graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other forms of graphs. A graph is a diagram that depicts the connections between two or more objects.

The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.

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What is the value of x in the equation −6 + x = −2? (5 points)84−4−8

Answers

Given the equation:

[tex]-6+x=-2[/tex]

solving for x:

[tex]\begin{gathered} x=-2+6 \\ x=4 \end{gathered}[/tex]

ANSWER

x = 4

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