As an event organizer, you are to host 120guests in a room of dimensions 18m long and 12m wide. You have rectangular tables which are 2m long and 0.75m wide. The number of guests allocated for the top table is 12 and the rest of the guests are on 3springs. NB: cover space is 0.6m i) Sketch the table plan arrangement. ii) Calculate the number of tables required for the top table. iii) Calculate the number of covers on each spring. iv) calculate the number of tables required for each spring. v) What is the purpose of leaving a gangway when arranging tables and chairs for an event?

Answers

Answer 1
Answer:
length of the table=2m cover space for a guests=0.6m so cover space for top table is 12=12×0•6=7•3(4×2)=8



Step-by-step explanation:

Answer 2

The room, the tables and the guests are illustrations of rectangles and areas.

How many tables are required for the top table?

This is calculated using:

Tables = Guest ÷ Guest per top table

So, we have:

Tables = 120 ÷ 12

Evaluate

Tables = 10

Hence, 10 tables are required for the top table

How many covers are on each spring?

This is calculated using:

Covers = Number of spring ÷ Cover space

So, we have:

Covers = 3 ÷ 0.6

Evaluate

Covers = 5

Hence, 5 covers are required for each spring

How many tables are required for each spring?

This is calculated using:

Tables = Tables for top table ÷ Spring

So, we have:

Tables = 10 ÷ 3

Evaluate

Tables = 3.33

Remove decimal

Tables = 3

Hence, 3 tables are required for each spring

What is the purpose of leaving a gangway when arranging tables and chairs for an event?

This is done to allow passage for walkway

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Related Questions

I didn’t understand


Please I need your help

Answers

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=\frac{2}{3}\\ y = 6 \end{cases}\implies 6=k\cfrac{2}{3} \\\\\\ 18=2k\implies \cfrac{18}{2}=k\implies 9=k~\hfill \boxed{y=9x} \\\\\\ when~x=10\frac{1}{3}\textit{ what is "y"?}\qquad y=9\left( 10\frac{1}{3} \right)\implies y=9\cdot \cfrac{31}{3}\implies y=93[/tex]

please answer this question​

Answers

SOLUTION :-

PLEASE CHECK THE ATTACHED FILE

50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half

Answers

Answer: 2

Step-by-step explanation:

See attached image

The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 salaries and find that x bar = $111,000 . Use this information for both parts. Part 1: What is the lower limit of this 95% confidence interval? (Round to the nearest whole number)

Answers

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\overline{x} = 111000, \sigma = 36730, n = 36[/tex]

Hence, the lower bound of the interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002[/tex]

The lower limit of the 95% confidence interval is of $99,002.

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A straight line passes through the point (-1,2) and (2,8). Find the equation of the
straight line.

Answers

Answer:

Looking at the question, we are given two points and we need to determine the line that passes through both of these points.  The first step to solving this problem is to find the slope.

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope=\frac{8-2}{2-(-1)}[/tex]

[tex]slope=\frac{6}{2+1}[/tex]

[tex]slope=\frac{6}{3}[/tex]

[tex]slope=2[/tex]

Now that we found the slope, we can move onto the next part which is to use the point-slope formula to determine our correct straight line.

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-2)=2(x-(-1))[/tex]

[tex]y-2=2(x+1)[/tex]

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

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

[tex]y=2x + 4[/tex]

Therefore, our straight line that passes through the two points that were provided in the problem is [tex]y=2x + 4[/tex].

Hope this helps!  Let me know if you have any questions

A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4 topping sandwich

Answers

Answer: 4 ways because 4 times four is 18

Step-by-step explanation:

Answer: 7315 (i think this is right)

Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is? please help

Answers

The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Here we have the following data:-

Matthew's bridge length is  [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]

Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-

[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]

Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

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х у
0 -11
1 -8
2 -5
3 -2

The table above represents what type of function?
A. linear

В. linear and nonlinear

C. neither linear nor nonlinear

D. nonlinear

Answers

Answer:

A. Linear

Step-by-step explanation:

As the x value goes up by 1, the y value goes up by 3 each time

A bakery sells vanilla cupcakes and chocolate cupcakes. It sold 276 vanilla cupcakes in a day. 8% of the cupcakes sold that day were chocolate. How many total cupcakes did the bakery sell that day?
ASSAP

Answers

Answer:

hello!!!

300 cupcakes

please read the explanation.. it always helps... trust me...

Step-by-step explanation:

alrighty here it goes...

okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....

okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.

we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.

so now we need to find out 92% of what number gets us 276.

the percentage formula (in this problem) should be as follows:

92/100 x (total amount of cupcakes) = 276

to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)

i hope this helps!!!

Answer:

300

Step-by-step explanation:

Find the measure of angle k

Answers

Answer:

30

Step-by-step explanation:

Answer: 30 Degrees

Step-by-Step Explanation:

As we know, a line is 180 degrees.

Hence, 65 + 85 + k = 180
= 65 + k = 180 - 85 = 95
=> k = 95 - 65 = 30

Therefore, k = 30

PLEASE HELP ILL GIVE 20 PTS!!!! What is the measure of an angle if it is 20 less than three times it’s own supplement?

Answers

An angle's measure is 20 times less than its supplement. Determine the angle's length. supplement = 180 - x = 180 - 130 = 50 degrees

Ryan's backyard has cement and grass. Find the area of the part with cement.
(Sides meet at right angles.)

Answers

Answer:

28m²

Step-by-step explanation:

I don't really know how to explain so I'm just going to say its 28m²

The area of the part with cement will be 28 square meters.


What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the image has the backyard area in which some part is cemented and the remaining part is grass.

The area of the cemented part will be calculated as:-

Cemented area = Total area - Area of grass

Cemented area = ( 6 x 6 ) - ( 4 x 2 )

Cemented area = 36 - 8

Cemented area = 28 square meters

Therefore, the part with cement in the backyard will have an area of 28 square meters.

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Find the area of the blue shaded region in the figure.



Answers

Area of the blue = Area of the rectangle - Area of the triangle

Area of rectangle : Length x Width
so, 20 x 10= 200

Area of triangle: 1/2 x base x height
so, 1/2(10 x 8) = 40

So area of the blue is 200-40 which is equal to 160

At a baseball game 35% were supporting the visiting team. If 1924 people attending supported the home team,what was the total number of people attending the game?

Answers

Answer:

3260

Step-by-step explanation:

The total number of people attending the game would be 2,960

This is because 1924/65 = 29.6

2. Use the figure to find angle measures. In the figure, m ll n and x ll y.




A. Suppose m<5 = 69º. Find M<10.
B. Suppose m<4 = 114°. Find m<14.
C. Suppose m<5 = 86º. Find m<12.

Answers

Answer:

See below ~

Step-by-step explanation:

A.

m∠5 = m∠10 (alternate angles)m∠10 = 69°

B.

∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)∠14 = 180° - 114°∠14 = 66°

C.

∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)∠12 = 86°

#1

m<5 and m<10 are alternative and equal

m<10=69

#2

They are supplementary

114+m<14=180m<14=180-114=66

#3

Alternate angles are equal

m<12=86

Find the missing side of the right
triangle if one leg is 6 ft and the
hypotenuse is 8 ft.
A. 28 ft
B. √2 ft
C. 10 ft
D. 2√7 ft
E. 2 ft

Answers

Answer:

it's D

Step-by-step explanation:

squrt(8^2-6^2)

use Pythago law

Answer D.
Using Pythagorean theorem
a^2 + b^2 = c^2
C^2 (8) is the long diagonal, it is the hypotenuse and (6) is one leg.
6^2 + b^2 = 8^2
rearrange to isolate the unknown
b^2 = 8^2 - 6^2
B^2 = 28
Take square root of both sides
b= 5.3, same as (2 sq.rt. 7) answer D

Factor 2x^3 - 12x^2 + 16x.

A. 2(x^2 - 2)(x - 4)

B. 2x(x - 2)(x - 4)

C. 2(x^2 + 2)(x - 4)

D. 2x(x + 2)(x - 4)

Answers

Answer:

B

Step-by-step explanation:

2x(x²-6x+8)=2x(x-4)(x-2)

In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character

Answers

Answer:

A. Emperor is the main character

Step-by-step explanation:

I've read it before

A because as the novel begin it was talking about the emperor

You are a contestant on a game show called “Bargain or No Bargain.” You are presented with three briefcases, which contain rewards of $700,000, $1,000, and $100. The host of the show says you can either open one random case and keep the amount inside, or you can accept a guaranteed award of $240,000. What is the mathematically correct decision, and why?

A.
Take the $240,000, because it is greater than the expected value of the briefcases.
B.
Choose a briefcase, because the expected value is greater than $240,000.
C.
Choose a briefcase, because the expected value is less than $240,000.
D.
Take the $240,000, because it is less than the expected value of the briefcases.

Answers

b i think i’m not 100%

The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets

Answers

Answer:

The two formats used in an observation checklist are:

A. Video recording and audio recording

B. Performance profiles and Tallies

C. Tallies and video recording

D. Performance profiles and SMART Targets

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Which set of numbers best describes the possible values of x in the equation below?
[x-1)=Lx]
all integer values of x
O all real number values of x
O only negative values of x
O only noninteger values of x

Answers

Answer:

Only noninteger values of x

Step-by-step explanation:

did this already

Only non integer values of x best describes the possible values of x in the equation [x-1]=[x]

What is Number system?

A number system is defined as a system of writing to express numbers.

When x is an integer, the equation simplifies to [x-1] = [x], which means that the greatest integer less than or equal to (x-1) is equal to the greatest integer less than or equal to x.

This is only possible if x-1 and x are consecutive integers, so x must be an integer value of n + 1/2 for some integer n.

For non-integer values of x, we have x-1 < [x] < x, which means that [x] is equal to the greatest integer less than or equal to x-1.

So, the equation becomes x-1 < [x] < x, which simplifies to x-1 < x - {x} <= x, where {x} is the fractional part of x.

Therefore, we have x-1 < x - {x} and x - {x} <= x, which gives 1 < {x} and {x} <= 0, which is not possible.

Hence, the only values of x that satisfy the equation are non-integer values of x.

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A board 4 feet 8 inches long she cut a board 56 inches long explain how you can convert one of the measurements so that both use the same unit

Answers

Answer:

4 feet = 48 inches

48 + 8 = 56 inches

Step-by-step explanation:

4 feet = 48 inches

48 + 8 = 56 inches

What is the volume of the right triangular prism in cubic meters?

Answers

Answer:

915.78cm

Step-by-step explanation:

you do AxBxCxH

a base side

b base side

c base side

height

all multiplied by each other

hope its correct good luck!

Answer ! And you’ll earn point haha

Answers

Answer: I agree with Marco because he took the least value in the growth of the plant(2) and the greatest value in the growth of the plant 3 1/2 and just subtracted them to get 1 1/2.

Step-by-step explanation:

It's like finding the range.

least is 2 greatest is 3 1/2

3 1/2 - 2= 1 1/2

7) m² - 12m +26=0 find the vertex

Answers

Answer:

(14, -2)

I could totally be wrong though, I haven't done this type of math in years.

The Median of the data set is 18.What number is missing?
12, 17,_, 21, 13,25,

Answers

Answer:

= 15

Step-by-step explanation:

21 + 15 = 36

36/2 = 18

Therefore, 15 is the missing number :33

Answer:

15.

Step-by-step explanation:

There are  6 ( even number) of values in the data so:-

the median is the mean of the 2 middle numbers.

Therefore, we have:

(x + 21)/2 = 18 where x is the missing number.

x + 21 = 2*18

x = 36 - 21 = 15.

3 Which of the following is an example of an expression?
O3y = 2y + 11
O
2x + 3y = 2x + 2y + 11
O
2x + 2y + 3y
O
2x + 2y + 3y = 2x + 2y + 11
Skip
5/6 complete
4
K

Answers

Answer:

2x + 2y + 3y

Step-by-step explanation:

The others are equations ( containing the = sign).

Answer:

2x+2y+3y

Step-by-step explanation:

an expression is not equated to any number but an equation is equated to any number especially zero

Find the distance between the points (3, –8) and (0, –9).

Answers

Answer:

B. 3.16

Step-by-step explanation:

1) formula of the required distance is:
[tex]d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2} ;[/tex]

2) if A(3;-8) and B(0;-9), then according to the formula above:

[tex]d=\sqrt{(0-3)^2+(-9+8)^2} =\sqrt{10}.[/tex]

d≈3.16

Find the value of y, rounded to the nearest tenth

Answers

Answer:

3.9 to nearest tenth.

Step-by-step explanation:

Using the theorem of intersecting chords:

9 * y = 5 * 7

y = 35/9

= 3.888...

Answer: Y = 3.9
(Not Rounded: 3.88)

Are EFG and HIJ similar

Answers

Yes, AAA criteria. The corresponding angles are congruent

Answer:

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Hope it helps, have a fantastic day.

Step-by-step explanation:

We all know from geometry that all the angles of a triangle add up to 180 degrees.

We can form the following equation:

[tex]100 + 35 + E = 180[/tex]

[tex]E[/tex] here represents the measure of angle E.

Add together like terms:

[tex]135 +E = 180[/tex]

Then subtract 135 from both sides:

[tex]E = 45[/tex]

We can, likewise, form another equation for angle J :

[tex]100 + 45 + J = 180[/tex]

Add together like terms:

[tex]145 +J = 180[/tex]

Then subtract 145 from both sides:

[tex]J = 35[/tex]

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

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