A party is thrown where 25 tables are used. Each table either sits 4people or 6 people. A total of 116 people can be sat at the tables.
1- if f represent the number of four person tables and s represents the number of six person tables, write a system of equations that models this equation.
2- how many six person tables are there?

Answers

Answer 1
Okay, so I'm gonna do this in terms of x and y, because that's what I'm used to.
s= x = 4-person tables
a= y = 6-person tables
x + y = 25
        ~ You use 25 tables so no matter how many of each kind are there, you end up with 25 tables so it should add up to 25.
4x + 6y = 116
           ~ You know that there will always be a total of 116 people at the tables. And in this case 4 and 6 are the number of people that can be seated at these tables, so in terms of people, you would say 4x and 6y.
To find out the amount of six people tables, solve for y and that's your answer.
You could do this a variety of ways.
One way is the substitution, for that you would rearrange the first equation for y, then plug in that value for y in the second equation and then solve for y. That value you get is your answer.



Related Questions

A hot air balloon descends at a rate of 320 ft per minute for 3 minutes use integers to calculate represent the balloons total change in altitude

Answers

Let x = the amount of feet descended in 3 minutes (thus the total change of altitude of the balloon) 

320 (feet per minute) / 1 (minute) = x (feet per minute) / 3 (minutes) 

1) Divide: 320/1 = 320. 
2) Multiply: 320 x 3= 960. 

The balloon that descends at a rate of 320 feet/minute (so, every minute, it descends 320 feet) descends a total of 960 feet in 3 minutes. 

The balloon's total change in altitude is -960


Your doctor told you to eat 25 grams of fiber each day.
You had 4 grams of fiber for breakfast.

What percent of the 25 grams of fiber have you eaten so far?

Answers

If you divide 4/25 it equals 16%. Or another way you can do it is you multiply 25 by 4 to get 100 then just multiply 4 by 4 also and it gets you 16/100 which equals 16%.
You have had 24% of fiber for the day.:) Hope this helped!

What is the b in 8b=5.6

Answers

b = 0.7 because 5.6 divided by 8 equals 0.7! Hope this helpz...
b = .7

Explanation: Since we are doing multiplication (8 * b) we would now do the inverse operation which is dividing. First, it's 5.6 divided by itself so we can cross that out, then 8 divided by 5.6 = .7 

If we put 8 * .7 in a calculator, sure enough, it comes out as 5.6

i don’t know how to do this. can someone please help me :)

Answers

The surface area of a cylinder is the sum of the area of the two ends and the lateral area.
.. surface area = 2*(end area) +(lateral area)
.. = 2*(π*r^2) +(2π*r*h)
.. = 2π*r*(r +h)
.. = 2*3.14*(8 in)*(8 in +8 in)
.. = 3.14*256 in^2
.. ≈ 803.8 in^2

The 3rd selection is appropriate.

Thomas wrote the equation y equals 3x + 3/4 when Sandra her equation they discovered that her equation had all the same Solutions at Thomas's equation which equation could be Sandra's

Answers

Were options given to you?

What is the domain of the square root function graphed below?

Answers

The domain of a function is the set of all values x can have.
From the graph, we see the least value of x is 3. x can be any value greater than or equal to 3.

The domain is

[tex] x \ge 3 [/tex]

Answer:

x greater than or equal to 3

Step-by-step explanation:

got it right on quiz

anyone wants to help?

Answers

Hey there!

The y-intercept is 1/3.

This is because this is written in slope intercept, which is defined as:

y = mx + b

With the slope being m and the y intercept being b. 1/3 is being added to -2/9x, and therefore by the rules of the formula it's the y intercept.

As a quick background on a y intercept, it's where the line crosses the y axis. It can be positive, or negative, and the coordinates never have an x value.

Hope this helps!

A cube has a surface area of 486 square meters. What is the volume of the cube.

Answers

V= s^3  
a=486/6=81
s=sqrt(81)=9
v=9^3=729
the volume of the cube is 729cm^3
Vequals s^3  
aequals486/6=81
sequalssqrt(81)=9
vequals9^3=729
the volume of the cube is 729cm^3

A local hamburger shop sold a combined total of 712 hamburgers and cheeseburgers on Tuesday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Tuesday?

Answers

A local hamburger shop sold a total of 712 burgers on Tuesday

There are 62 more cheeseburgers than hamburgers

let cheeseburers = c
let hamburgers = h

h + 62 = c
c + h = 712

Plug in h + 62 for c

(h + 62) + h = 712
2h + 62 = 712
2h + 62 (-62) = 712 (-62)
2h = 650
2h/2 = 650/2
h = 325

There are 325 hamburgers sold on Tuesday

c = 325 + 62
c = 387

There are 387 chesseburgers sold on tuesday (in case you were wondering)


hope this helps

Final answer:

To find how many hamburgers were sold, we set up an equation and solve for H, the number of hamburgers. After forming the equations, simplifying, and solving, it turns out that 325 hamburgers were sold on Tuesday.

Explanation:

The student is asking how many hamburgers were sold on Tuesday given that a total of 712 hamburgers and cheeseburgers were sold, with there being 62 more cheeseburgers sold than hamburgers. To solve this, we can set up an equation. Let's denote the number of hamburgers sold as H and the number of cheeseburgers as C. According to the problem,

C = H + 62 and H + C = 712.

By substituting the first equation into the second, we get:

H + (H + 62) = 712

Simplifying, we have

2H + 62 = 712

Subtracting 62 from both sides, we get-

2H = 650

Dividing both sides by 2, we find -

H = 325

Therefore, 325 hamburgers were sold on Tuesday.

Standard form............

Answers

Standard form is using only numerical values (numbers.)

Ninety-eight = 98
six-tenth = 0.6

98 + 0.6 = 98.6


98.6 is your answer

Hope this helps

Need help with number 9 please, thanks.

Answers

Its point P because the lines between 1 and 2 are 1/4 2/4 and 3/4 and its looking for 1 1/4 so the correct is the line after number 1 on the x axis and the y axis is 2 which you can see p is located it

To see how costly it would be for other people to complete a similar cycling tour, you decide to work out two averages and compare.





Group A



Person 1: $500

Person 2: $600

Person 3: $900

Person 4: $450


The average amount spent by members of cycle group A was $






Group B



Person 1: $700

Person 2: $500

Person 3: $680

Person 4: $500


The average amount spent by members of cycle group B was $

Answers

the answers are 2,450 and 2,380

The cost of a television is $429.99 after sales tax is added. If the sales tax is 7.5%, what was the cost of the television before sales tax was added? (A) $377.74 (B) $389.46 (C) $397.74 (D) $399.99 (E) $459.27

Answers

The total cost before sales tax is $399.99

The original cost of the television before a 7.5% sales tax was added, which made the total $429.99, is optionD. $399.99.

The question is asking to find the original cost of a television before sales tax was added. Given that the final cost after including the 7.5% sales tax is $429.99, we need to find the price before this tax was applied. To calculate this, we first convert the percentage to a decimal, which is 0.075, and then create an equation to represent the relationship between the original price (let's call it x) and the total cost with tax. The equation would be x + 0.075x = $429.99. This is equivalent to 1.075x = $429.99. Solving for x gives us the original price of the TV before tax.

To solve for x, we would divide both sides by 1.075, which is the combined total of the original price and the tax. x = $429.99 / 1.075. This calculation gives us the original price of the TV, which turns out to be $399.99, which is option (D).

Jessie set up a lemonade stand for three days. On Saturday she sold 10 and 2/3 gallons of lemonade. On Sunday she sold 3 and 1/3 gallons mor3 than she sold on Saturday. On Monday she sold 2 and 2/3 gallons less than she sold on Sunday. How many gallons of lemonade did jessie sell on Monday

Answers

can you please rewrite the question there are a few typos.

Jessie set up a lemonade stand for three days.

On Saturday she sold 10 and 2/3 gallons of lemonade = 10+2/3 = 32/3 gallons

On Sunday she sold 3 and 1/3 gallons more than she sold on Saturday

Lemonade sold on Sunday = 32/3 + 3 and 1/3 gallons

= 32/3 + 10/3 = 42/3 gallons = 14 gallons

On Monday she sold 2 and 2/3 gallons less than she sold on Sunday

Lemonade sold on Monday = 14 - 2 and 2/3 gallons

= 42/3 - 8/3 = 34/3 gallons

Therefore, Jessica sold 11 and 1/3 gallons of lemonade on Monday

A rectangular prism has a length of 112 meters, a width of 3 meters, and a height of 512 meters.

Enter the volume of the prism as a mixed number in simplest form in the box.

Answers

Answer:

[tex]Volume=24\frac{3}{4}m^3[/tex]

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula;

[tex]Volume=l \times w\times h[/tex]

where [tex]l=1\frac{1}{2}m[/tex] is the length, [tex]w=3m[/tex], is the width and [tex]h=5\frac{1}{2} m[/tex] is the height of the rectangular prism.

We substitute all these values into the formula to obtain

[tex]Volume=1\frac{1}{2} \times 3\times 5\frac{1}{2}[/tex]

Convert to improper fractions to get;

[tex]Volume=\frac{3}{2}\times 3\times \frac{11}{2}[/tex]

[tex]Volume=\frac{99}{4}[/tex]

[tex]Volume=24\frac{3}{4}m^3[/tex]

Write a story problem to represent 5 divided by 1/4

Answers

A group of friends had 5 pies. They each wanted 1/4 of all of the pies. How much pie did each person get?

Hope this helps!

The problem can be seen below, we will see that the quotient between the given numbers is 20.

How to write the problem?

Here we want to divide 5 by 1/4.

An example of this can be: Assume that you have $5, and you want to buy pieces of wood (to make little houses for birds) such that each piece costs $(1/4).

How many pieces can you buy?

To solve this, we need to take the quotient between 5 and (1/4), this gives:

[tex]\frac{5}{1/4} = 20[/tex]

You can buy 20 pieces.

If you want to learn more about divisions:

https://brainly.com/question/8952483

#SPJ2

Two sides of an isosceles triangle have lengths of 6 inches and 15 inches, respectively. What is the length of the third side?

Answers

The answer is 15, since an isosceles triangle is a triangle with two sides of the same length. It can't be 6, for 6+6 is only twelve, and that will not a make really triangle. 

Rachel opened a savings account 6 years ago. The account earns 8% interest, compounded monthly. If the current balance is $1,000.00, how much did she deposit initially?

Answers

$13.30 this has to be 20 characters so jsjxisnwjxjsnsbxjwnwbxusnwbducjebe

Consider the expression 4n3 + 3n2 + 2n + 1. What is the coefficient of n2?

Answers

the coefficient of n^2 is 3

hope it helps

Answer:

Coefficient of n² is 3.

Step-by-step explanation:

Given  :  4n³ + 3n² + 2n + 1.

To find : What is the coefficient of n².

Solution : We have given 4n³ + 3n² + 2n + 1.

Coefficient : A numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Example :  4 in 4x² .

In 4n³ + 3n² + 2n + 1.

Coefficient of n² is 3.

Therefore, Coefficient of n² is 3.

does 3/4 have the same value as the expression 4 ÷ 3 answer

Answers

no. 4/3 or 4 divided by three is not the same as 3/4 or three fourths. 4/3 is 1.33333333333. 3/4 is .75

A rectangle has a perimeter of 48 feet and a length of 14 ft which equation can you solve to find the width

Answers

I don't know what the list of equations are, but if you take 12x2 you get 28 and 48-28=20 and the 20 is divided by two sides, so the width is 10ft 

Answer: 2n + 28 = 48

Step-by-step explanation: Got it right on TTM

how do you solve each absolute value by graphing

Answers

Your question answers itself. You solve by graphing.

I like to subtract one side of the equation from the other, so the solutions are where the graph crosses the x-axis (the resulting function value is zero).

It can be useful to find the "turning point" of each absolute value expression (where its value is zero) and graph that and some points on either side.

Anthony ‘s family went out to dinner. They left at the. Time 5:05 pm any they returned home at 6:52p.m
How long was Anthony ‘s family gone

Answers

They were gone for a total of 107 minutes, or one hour and 47 minutes. Hope it helps! :) If you could vote my answer as the brainliest, that would be awesome! :)
1hr 47mins......................

Is y = 0 the asymptote of all functions of the form f(x) = ab^x? Explain your reasoning.

Answers

y=0 would be a horizontal line.  An asymptote is a line that a function approaches, but never reaches.  Exponential functions such as these are a smooth curve.  If both numbers are positive numbers greater than or equal to 1, the curve increases.  If at least one of the numbers is a positive number between 0 and 1, the curve decreases.  If a is a negative number, the curve decreases as well.  If either a or b is zero, then the graph would stay constant at 0.  However, as long as neither a nor b is zero, then this graph will never touch that point.  The only way to get an answer of y=0 is to multiply by 0.  If neither a nor b is zero, this won't happen.

Final answer:

No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. Functions of the form f(x) = ab^x do not have y = 0 as an asymptote.

Explanation:

No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. In order for a function to have y = 0 as an asymptote, the limit of the function as x approaches infinity or negative infinity would need to be 0. For example, the function f(x) = 1/x has y = 0 as an asymptote because as x approaches infinity or negative infinity, the function approaches 0. However, functions of the form f(x) = ab^x do not have y = 0 as an asymptote because as x approaches infinity or negative infinity, the value of the function either approaches infinity or approaches 0, depending on the values of a and b.

You may use any word processing program or Web 2.0 tool to present your argument, but you must include the following: A summary of your argument. The summary should begin with the argument statement you chose. In addition, provide at least three reasons why the method you chose is better than the other method and at least three reasons why the other method is not better. This summary can have a lot of opinion in it and should be persuasive and argumentative. A list of at least two resources used. Resources may include interviews with professionals and/or URLs of websites. Remember, you may gather ideas from research, but you must explain the ideas yourself.

Answers

In summary, an effective argumentative essay includes a clear thesis statement followed by logically structured reasons supported by a mix of well-researched evidence and personal knowledge, ensuring a persuasive and objective argument.

Students tasked with creating an argumentative essay must focus on developing a persuasive argument. The essay should begin with a summary of the argument that clearly states the main thesis. Following this, at least three reasons should be provided to support why the adopted approach is superior, using logical and persuasive evidence, such as statistics, expert opinions, and relevant examples. Contrary to this, the reasons why the alternative method is less effective should also be articulated. The Rule of 3 is a strategic approach where the contentions made to support an opinion are outlined in three clear points, enabling a structured and convincing argument to be presented.

To successfully make an argument in a position paper, it is crucial to provide a paragraph for each reason, starting with a clear topic sentence and backed by well-researched evidence. This can include research findings, personal knowledge, and a variety of evidence to ensure the argument is perceived as objective. An informal approach may also be used to frame the debate, maintaining relevance and ensuring engagement with the topic.

Finally, it's vital to use reliable resources to supplement the argument. A combination of research from credible sources and well-prepared reasoning constructs an objective and persuasive document that clearly distinguishes the author's ideas from those presented in the referenced texts.

The radius of a circle can be found by dividing the circumference of the circle by 6.28. What is the radius of a circle that has a circumference of 17.27 feet?

0.36 ft
2.75 ft
10.99 ft
2.58 ft
HELP ME!!

Answers

The radius of a circle is found by doing this :
circumference ÷ 6.28 = radius

The circumference here is 17.27 feet :
circumference ÷ 6.28 = radius
so
17.27 ÷ 6.28 = 2.75


The radius of the circle is 2.75 feet.






Which expression is equivalent to i^233

Answers

Recall that i²=-1, and i^4=1
divide 233 by 4 to find the remainer: 233÷4=58, remainder is 1
so the result is i
i^233=(i^4)^58×i=1^58×i=i

Answer: the answer is i

Step-by-step explanation:

two numbers have a difference of 0.7 and a sum of 1 what are the numbers

Answers

0.85 and 0.15

0.85 - 0.15 = 0.70
0.85 + 0.15 = 1

0.85 and 0.15 is your answer

hope this helps
{x+y = 1
{x-y = 0.7
add both equations
2x = 1.7
x = 0.85

x+y = 1
y = 1-x
y = 1-0.85
y = 0.15


The bus will leave Norfolk, VA at 6:00 a.m. on Thursday. The distance from Norfolk to New York City is 350 miles. The average speed of the bus is 50 miles per hour. 1.Determine how long it will take the charter bus to arrive in New York City. Represent the distance traveled every hour in a table of values.

Answers

It would take 7 hours to get to New York City

A table would look something like this:

0   1   2  3     4    5    6     7
0 50 100 150 200 250 300 350

Hope you can read it and this helps

the Jackson family went out to dinner
the price of the meal was 43.45
the sales tax was 7% of the price of the meal
the tip was 15% of the meal and sales tax.
how much money did the smith family pay for the meal, including tax and tip?

Answers

Answer:  Amount that the Smith family need to pay for the meal including tax and tip = 53.47.

Step-by-step explanation:

Since we have given that

Price of the meal = 43.45

Rate of sales tax = 7%

Amount becomes after the sales tax is given by

[tex]\frac{7}{100}\times 43.45\\\\\frac{304.15}{100}\\\\=3.0415\\\\\text{Amount}=43.45+3.0415=46.4915[/tex]

Rate of tips over meal and sales = 15%

Amount of tips is given by

[tex]\frac{15}{100}\times 46.4915\\\\=0.15\times 46.4915\\\\=6.974[/tex]

So, Amount becomes

[tex]46.4915+6.974\\\\=53.465\\\\=53.47[/tex]

Hence, Amount that the Smith family need to pay for the meal including tax and tip = 53.47.


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