A banquet hall is being set up for a reception. Each round table will have 6 chairs and each rectangular table will have 10 chairs. The arrangement of tables must accommodate at least 185 guests to be seated. The client reserving the banquet hall requests that there be no more than 15 rectangular tables and no fewer than 6 round tables. Additionally, the number of rectangular tables used must be at least one-third the number of round tables used. Let x represent the number of round tables and y represent the number of rectangular tables. What constraints are placed on the variables in this situation? Select each correct answer.
x≤15

x≥6

y≤15

y≤3x

x≤3y

y≥6

6x+10y≥185

x+y≥185

Answers

Answer 1

Answer: here’s the answer hope it helps you!

Step-by-step explanation:

A Banquet Hall Is Being Set Up For A Reception. Each Round Table Will Have 6 Chairs And Each Rectangular
Answer 2

The correct constraints equations are : 6x + 10y ≥ 185 , y < 15 , x > 6

As the number of round tables = x , and number of rectangle tables be = y

Also Given :

Each round & rectangle table have 6 & 10 chairs respectively, and total people at least 185 . So, 6x + 10y > 185

Rectangular tables not more than 15, and Round tables not less than 6. So, y < 15 , and x > 6

Rectangular Tables at least one third the number of Round Tables. So,              y > 1/3 (x)

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Related Questions

There are 9 times as many cubes in the black bag as in the green bag. The green bag has 12 cubes. How many cubes are in the black bag?

Answers

Answer:

108

Step-by-step explanation:

Answer:

108 cubes

Step-by-step explanation:

9 times 12 equals 108

9 • 12 = 108 cubes


30% of $50 is equal to?

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Answer:

15

Step-by-step explanation:

Pls help I will mark brainlyesd

Answers

First, we have to solve for x by isolating it on one side.
6x + 10 = -8
(Subtract 10 from both sides)
6x = -18
(Divide both sides by 6)
x = -3

On option C, x is on -3, so that would be the correct answer

(x+8)(x+2) = 10x+x^2

Answers

Answer:

.

Step-by-step explanation:

x^2 + 2x + 8x + 16 = 10x + x^2 (FOIL)

x^2 + 10x + 16 = 10x + x^2 (add like terms)

16 = 0 (10x and x^2 cancel out on both sides)

(x+8)(x+2) is NOT equal to 10x+x^2

You have $15 to spend in a candy store. If Kitkat cost $0.75 each and mini Snickers are $0.25 each.
1) What is the maximum number of mini Snickers you could buy?
2) What is the maximum number of Kitkats you could buy?
3) How do these maximums relate to the x and y-intercepts of the standard form linear equation that could be used to model this situation?

Answers

Answer:

1. 60 snickers

2. 20 KitKats

i cannot anwser 3 cause its not showing up somehow. Sorry.

Step-by-step explanation:

Answer:

1) 60 Mini Snickers

2) 20 Kitkats

3) We know that the x intercept is the value of x when y is 0. We also know that the Y intercept is the value of y when x is 0. Both maximums can represent either a y or x intercept because they are the value when you don't have any money left or $0.

Step-by-step explanation:

1) 15 ÷ 0.25= 60

2) 15 ÷ 0.75= 20

Which of the following is a true statement about the sides of a right triangle?
A. The hypotenuse is the shortest side. B. The legs are the sides adjacent to the 90° angle.
C. Side "a" is always longer than side "b". D. The hypotenuse is the 90° angle.​

Answers

Answer:

B

Step-by-step explanation:

Because the hypotenuse doesn't really get called a leg since it has a proper name.

Answer:

Step-by-step explanation:

you have the choice b, the legs are adjacent to the right angle

Please help 20 points!!!!

Answers

Answer: D

Step-by-step explanation:

I think this is correct

Answer:

D. 4

Step-by-step explanation:

First, the amount of blue squares is 10. We know that there are 40 students on a bus. So, all we need to do is divide 40/10, which is 4. Therefore, the answer is D. 4.

Hopefully you understand!! Have an awesome day (* ̄w ̄)╭

Which of these is not an equation?

Answers

Answer:

where r the pictures

Step-by-step explanation:

attach a picture by file explorer when your creating your question so we can see what you're talking about (if you didn't know)

In 2012 42.5 percent of full time students at public colleges received student loans if there were 1,766,400 full time students how many received lians

Answers

Answer:

the answer is 750,720 students received loans

If system of linear equations has no solution,then

Answers

Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Step-by-step explanation:

Which is equivalent to the square root of 54.

Answers

Answer:3[tex]\sqrt{6}[/tex]

We first need to break up 54 into prime factors. An easy way to do this is two divide by something like 2 or 3 and repeating the process until you end up with all prime numbers. Simplifying 54 would look something like this. 54 = 27*2 , 27 = 9*3 , 9 = 3*3

We now take all the prime factors we have there and rewrite it into [tex]\sqrt{54}[/tex] = [tex]\sqrt{2*3*3*3}[/tex]. We have to take out each pair of the same factor we see since its the square root. Resulting in [tex]3\sqrt{2*3}[/tex] Simplify the inside and we finally get the answer of 3[tex]\sqrt{6}[/tex]

Answer:

3*4

Step-by-step explanation:

Someone please help me

Answers

The answer should be 2x -7y is less than or equal to 14. I’m not sure if that’s an answer option. But I couldn’t see it but that’s what I think it should be. I’m sorry if I’m wrong

what are the coordinates of the pre-image of F'​

Answers

Step-by-step explanation:

is there a picture that you could put on here so i can see?

There isn’t a picture

In “We Wear the Mask,” how does the poet use irony to reject the romantic notion of idealism? by describing how people attempt to hide their pain by pretending to be happy by pointing out that most people are truly happy, despite appearing depressed by describing how people attempt to appear happy for the sake of material gain by pointing out that most people are unable to recognize their own emotions

Answers

Answer:

The correct answer is the first one - by describing how people attempt to hide their pain by pretending to be happy.

The poet wants to show that people are constantly wearing masks to hide their real emotions. They pretend to be happy so that others wouldn't realize how they truly feel - they don't want to be that vulnerable and open up to others about their real emotions.

Step-by-step explanation:

credit to Greanleafable

Answer:

A.) By describing how people attempt to hide their pain by pretending to be happy

Step-by-step explanation:

EDG

help on math please.
don´t do any joke answers or anything that not related to the problem only answer if you actually know

Answers

Answer:  When t = 4.25    R(t) = D(t)

This tells you that at 4.25 seconds into their flights, both the Rocket and the Drone were at a height of 20 feet.

Step-by-step explanation: The point where the two graphed lines cross is where the values are equal.

The Drone has been hovering at 20 feet between 2 and 5 seconds. The Rocket passed through that height for a brief (millisecond) time as it was falling back to the ground.

Without grid lines it is my best estimation (using a ruler to create a verticla line from the intersection of the lines to the time scale) that t = 4.25. It is between 4 and 4.5 seconds.

PLZ answer iF. U KNOW THE ANSWER

the town wants to build a library five blocks away from the park and four blocks away from the school

(-1,6)
(-5,2)
(-1,-2)
(3,2)​

Answers

Answer:

(-1,-2)

Step-by-step explanation:

Since the park is at (4,-2), going to the left 5 units will put us at x = -1

Since the school is at (-1,2) going down 4 units will put us at y = -2

(-1,-2)

The Alaskan temperature is at 20 degrees. The weather lady says the temperature will drop 3 degrees each hour. If she is correct, what will the temperature be after 11 hours?

Answers

Answer:

-13 degrees

Step-by-step explanation:

Answer:

-13 degrees

Step-by-step explanation:

work this out 8.26 + 2 =

a. 4.13

b.5.13

c.5.20​

Answers

Answer:

10.26

Step-by-step explanation:

This is the answer because:

1) 8 + 2 = 10

2) Now, just add .26 to 10 which is 10.26

Hope this helps! :D

Translate the following sentence into an equation.

Fifteen minus the product of three and a number will equal six.

Answers

Answer:

r u stu ped

Step-by-step explanation:

stu ped

CORRECT ANSWER WITH EXPLANATION WILL GIVE BRAINLIEST!!!


Find the exact interest for $600 at 8% for 45 days. (Round to the nearest cent).

A. $5.92

B. $5.95

C. $6.00

D. $6.36

Answers

Answer:

A

Step-by-step explanation:

The exact interest for $600 at 8% for 45 days is $5.92 $600*.08*45/365 = $5.92

Answer:

The answer is C

Step-by-step explanation:

Use the formula a I = P + r x t

Which means Interest equals Price plus Rate times Time.

So the formula is 600 x 0.08 x 45 ÷ 360.

The answer is $6.00

 

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Answers

Answer:5a^2 + 6ab + 2b^2

Step-by-step explanation:

Answer:

i don't know if this helps

3. 15% of 80 is 12 and 16% of 80 is 12.8. Find each percentage of 80 and be prepared to
explain your reasoning.

Answers

Answer:

12.08

Step-by-step explanation:

the easiest way to answer this is to set it up in this equation:

15.1/100 = x/80

in this, 15.1 is the percentage over 100 (because 100% is the most you can get) and x is the number that would be 15.1 percent of 80. Cross multiply so that you get 100x = 1208. Divide both sides by 100 to get x by itself. the end result will be x = 12.08

15.1% of 80 is equal to 12.08.

What is Percentage?

A number expressed in the form of a ratio per 100 is termed as the percentage, usually denoted by the sign %. In other words, percentage is a type of fraction whose denominator is 100.

The abbreviations like 'pct' or 'pc' are also used to denote percentage.

Percentage is a dimensionless quantity as they have no dimensions.

Here we have to find the percentage 15.1% of 80.

The percentage of any number can be computed by dividing the number with whole and then multiply with 100.

To compute the percentage value to the original number, we use the reverse process.

15.1% of 80 = 15.1% × 80

                   = (15.1/100) × 80

                   = 0.151 × 80

                   = 12.08

Hence we got the value of 15.1% of 80 as equal to 12.08.

To learn more about Percentage, click on the link given below:

https://brainly.com/question/26497520

#SPJ2

Melissa wants to put a bird bath in her yard at point (x, y), and wants it to be is inside the enclosed shaded area shown in the graph.

First, she checks that x greater or equal than negative 3 space a n d space y greater or equal than negative 2. What linear inequality must she check to conclude that (x, y) is inside the triangle?

Answers

Jkkm nhuduehdued endures uedhdjend uehduehd neurheudh hfduhf jedhdje jehfjdh

State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality

Answers

Answer:

Substitution property of equality

Step-by-step explanation:

Given

[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]

Then

[tex]4(2y + 1) + 9 = 15[/tex]

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If [tex]a = b[/tex] then [tex]b = a[/tex]

In other words, both can replace one another.

So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]

So:

[tex]4x + 9 = 15[/tex]  becomes

[tex]4(2y + 1) + 9 = 15[/tex]

Hence, it is substitution property of equality

HELP HELP HELP
Describe the different ways to determine if lines are parallel by using angle pairs that are formed when the lines are cut by a transversal

Answers

Answer:

Alternate Interior Angles

Alternate Exterior Angles

Same side Interior

Same side Exterior

Corresponding

Step-by-step explanation:

IF ANY ONE NEEDS HELP WITH ANY KIND OF WORK ILL DO IF FOR A BIT OF CASH I GRADUATED COLLEGE I KNOW WHAT I'M DOING step by step

Answers

oh really?? how much?

heheheheh hehehehehhehehehehehehheheh

Answers

Answer:

cscsc

Step-by-step explanation:

zcscc

Answer:

hehehehehehehehehehehehehehehehehehehehehehehehe

Step-by-step explanation:

lelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelele

Chicken Nuggets.

WILL GIVE BRAINLIEST



Suppose you invest $1200 at an annual interest rate of 2.3% compound continuously. How much will you
have in the account after 4 years?

Answers

Answer:

You will have $1314.27

Step-by-step explanation:

A=1200(1+2.3/100)^4

A=1200(1.0952)

A=$1314.27

HELPPP ME PLEASE I NEEDA HELP
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Answers

Answer:

-5+2

Step-by-step explanation:

Answer:

I would say 6 cm too, also can anyone help me on my math? its powers and exponents

BRAINLIST SO QUICK HELP ME

Answers

Answer:

2nd option

Step-by-step explanation:

6 * 6 * 6 = 216

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