You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Answers

Answer 1

Answer:

2x + 4y = 110

Step-by-step explanation:

Let

The quantity of small tables = x

The quantity of large tables = y

The smaller tables can fit 2 people, the larger tables can seat 4 people.

Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Number of people×quantity (small table) + number of people×quantity (large table) = 110

2x + 4y = 110


Related Questions

EASY 10 POINTS QUESTION 7 PLEASEEEEEEE

Answers

Answer:

x=9

Step-by-step explanation:

-2x+9=-4x+27

first you want to get the -4x on the other side of the equal sign you do that by -4- -4 which will cancel them out and you do -2 - -4 = 2x

now you have 2x+9=27 now you do 9-9 which will cancel them out and you do 27 - 9 = 18

Now you have 2x=18 then you want to divide 2 by 2x which will cancel out the 2 and you want to divide 2 by 18 which equals 9 so you answer is x=9

hope this helps

1634 divided by 12 round it to the nearst tenth

Answers

Answer:

136.2

Step-by-step explanation:

Answer:

136.2

Step-by-step explanation:

1634/12=136.1666666667=136.2

If m<1=105 and m<4=115, then m<6=

A.75 B.40 C.50 D.60​

Answers

the answer is 40 so B

Which value claims that 3.657 is a rational number

Answers

Step-by-step explanation:

It is rational because you can write it as 3 657/1000 which is a fraction. It also is not repeating with no pattern which also means it is rational.

Given a 30-60-90 triangle with a hypotenuse of 11 mm solve for the other sides. (Explain)

Answers

Answer:

Need a calculator

Step-by-step explanation:

This will be hard to explain without the ability to draw an example.

The one thing you can memorize is SOH - CAH - TOA

This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).

When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.

So a right triangle has two legs (sides) and the hypotenuse.  If you use the first angle ( 30 degrees)  you can use the formulas above to calculate the side length.

Pick either the SOH or the CAH.  Let's use SOH and write out the equation:

SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)

You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm.    You end up with SIN(30 degrees) X 11m = Opposite Side.

So the side directly across from the 30 degree angle should be 5.5mm

You can do the exact same thing with the 60 degree angle.

SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm)   OR

SIN(60 degrees) X 11mm = Opposite Side

This comes out to about 9.5mm

You can check the math by using the other equation CAH

Start with the 30 degree angle and solve for the adjacent side.  This is the side that is touching the 30 degree angle.  Equation will be

COS(30 degrees) X 11mm = Adjacent Side  or  about 9.5mm

The other equation will give you the side that is touching the 60 degree angle.

COS(60 degrees)  X 11mm = Adjacent Side or  5.5mm

You can also use one last thing to check your math.  The Pathagorean Theorem says in a right triangle  [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.

[tex]5.5^{2}[/tex]  +  [tex]9.5^{2}[/tex]  should equal  [tex]11^{2}[/tex].  Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).

Leeza is 6 years older than two times her brother Sammy’s age. Let s represent Sammy’s age.

Which expression represents Leeza’s age?

a.6s + 2


b.2s


c.s + 6


d.2s + 6

Answers

✧・゚: *✧・゚:*hello there!*:・゚✧*:・゚✧

✧here is your answer:

.・゜゜・d. 2s + 6・゜゜・.

♥⛧i hope this helps!!

✧༺♥༻∞lmk if you need help on anything else!!∞༺♥༻✧

❀-kay♬

d.2s + 6.
Hope you have a nice dayyyyyyyyyy

You buy a 36-ounce can of tomatoes. How many pints is that?

Answers

Answer:

If you buy a 36-ounce can of tomatoes the number of pints will be 2.24

Step-by-step explanation:

1 Fluid Ounces = 0.062 Pints

Which best explains the relationship between the two triangles below? Triangle D C A. Angle D is 51.2 degrees and angle A is 96.5 degrees. Triangle S R T. Angle S is 32.3 degrees and angle R is 96.5 degrees. Triangle A D C is similar to triangle R T S because Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Triangle A D C is similar to triangle R T S because Angle A is similar to angle R, Angle C is similar to angle S, and Angle D is similar to angle T. Triangle A D C is not similar to Triangle R T S because Angle D is not congruent to Angle S. Triangle A D C is not similar to Triangle R T S because C D less than S T, D A less than T R, and C A less than S R.

Answers

Answer:

Answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just take the test

Pleasee help! I don’t know the answers. I’m struggling

Answers

Answer:

1. Total amount of the five checks is $132.95.

2. She owed $16.47 before tax.

3. quizzes- 53 pts

   projects-129 pts

   tests-272 pts

   for grading period-454 pts

4. Tim-399

   Jane-401

   Felipe-412

   Chen-419

   team-1,631

Can i get brainliest please?

What is the value of x? Enter only the number in the box! Help Asap​

Answers

Answer:

x = 5

Step-by-step explanation:

90 - 55 = 35

8x - 5 = 35

    +5    +5

8x = 40

x = 5

When solving for x, the sine of 33º is used. What other angle and trigonometric function could be used to solve for x? a. cos 57º c. tan 57º b. tan 33º d. cos 33º
hurry

Answers

Answer:

The answer is A.Cos 57.

Step-by-step explanation:

Took the test..

PLEASE HELP ASAP! (picture is attached) You real one if you do

Answers

Answer:

x is equal to 1

Step-by-step explanation:

Home Algebra 1 Support Final Exam Term 1
y = 3x - 1
y = -3x - 1
Which describes the number of solution(s) to the system of linear equations shown above?
C
Exactly two
None
A
An infinite number
D
B
Exactly one

Answers

Answer:

B. Exactly one solution

Step-by-step explanation:

Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).

It was 7 degrees below zero in the morning. By afternoon the temperature rose 15 degrees. How warm was it?

Answers

Answer:

8 degrees

Step-by-step explanation:

The temperature was -7 and then rose by 15, -7 +15 = 8

8 degrees

(-7) + 15 = 8


[tex]( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = [/tex]
I need help please​

Answers

[tex](-\frac{3}{5})(-\frac{10}{3})(-\frac{2}{9}) = (\frac{30}{15})(-\frac{2}{9}) = 2(-\frac{2}{9}) = -\frac{4}{9}[/tex]

12(4x -1/4x ) 2 + 5(4x-1/4x) - 2

solve it​

Answers

X= -28/17 =1.647
"1.5" was replaced by "(15/10)".

5*(4*x-(15/10)*x)+12-(4*x-2)=0

Simplify 3/2

3
((5 • (4x - (— • x))) + 12) - (4x - 2) = 0
2

Subtracting a fraction from a whole

Rewrite the whole as a fraction using 2 as the denominator :

Adding a whole to a fraction

Rewrite the whole as a fraction using 2 as the denominator

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 2 as the denominator

Pull out like factors :

4x - 2 = 2 • (2x - 1)

When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

17x+28
—————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
17x+28 = 0

school sold 2 adult tickets and 10 child tickets for a total of $56. The school took in $52 on the second
The school that Elisa goes to is selling tickets to a fall musical. On the first day of ticket sales the
second day by selling 4 adult tickets and 5 child tickets. What is the price each of one adult
ticket and one child ticket?

Answers

Answer:

x+y=4+8=12

$12 for one of each

or if you mean indivually (the wording confused me)

$4 for child, $8 for adult

Step-by-step explanation:

x=adult

y=child

2x+10y=56

4x+5y=52

iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104

8x+10y=104

-2x+10y=56

6x=48 divide each side by 6

x=8

plug 8 back into an equation to find cost of y

2(8)+10y=56

-16            -16

10y=40

y=4

Which one should I choose

Answers

Answer:

4th one please give me brainliest

Step-by-step explanation:

The last one is the answer if I am right...

im literally crying because im so stressed and i don't understand if you know the answer please help i will do anything :(

Answers

Answer: 9x + 45 = 9x + 45 Infinitely many

Step-by-step explanation: Use distributive property for the left and add like terms for the right

Answer:

9,45,9,45 and infinite

Step-by-step explanation:

ngl im probably wrong but i tried

Please help me! Two pictures!

Answers

Answer:

B. y<=-2x+1

Step-by-step explanation:

Answer:C

Step-by-step explanation:

You can graph the answer into desmos, a website which helps you graph, I graphed it and got C.

I need helpppp IDKK

Answers

Answer:

Step-by-step explanation:

Choice

Answer:

Can you award me brainest

An electronics manufacturer has 175 capacitors and the same number of capacitors is needed for each circuit board made. The manufacturer uses the capacitors to make 35 circuit boards. Identify and interpret the intercepts, then use the intercepts to graph the line

Answers

Animals eat grass except for carnivals but they all live till they dies in a clan of the

Answer:

its on google

Step-by-step explanation:

When finding the product, what is the first step?
(-c)x(-2a)x12b
btw the x's are multiply signs.
Thanks :)

Answers

Answer:

24abc

Step-by-step explanation:

(-c)*(-2a)*12b

Multiply the numbers

-1 * -2 *12 = 24

Multiply the variables

c*a*b = abc

Put it back together

24abc

Question 6

1 pts

If f(x) = 0.41x is a function that represents the cost to mail

x number of letters, what is a reasonable domain for f?

O all real numbers

o all real numbers greater than 0

O the set of all whole numbers

o the set of all integers

Answers

Answer:

B

Step-by-step explanation:

The domain of the function 'f' represents  the set of all whole numbers.

What is a function?

A function is a relation between two sets. One set is called domain of the function and the other one is called range range of the function.

Given function is: f(x) = 0.41x.

f(x) represents the cost of mail.

Here, x represents the number of letters in the mail.

It can't be real numbers because, real numbers consist of negative numbers, fractions, etc.

It can not be integers, real numbers consist of negative numbers.

Therefore, the domain of must be all whole numbers.

Learn more about a function here:

https://brainly.com/question/8473577

#SPJ2

write your answer here

Answers

[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]

Done... ♥️♥️♥️♥️♥️

Answer:

what she said ^^ :)

What is the answer to this????

Answers

Answer:8

Step-by-step explanation:

Answer:

8 rows of art

Step-by-step explanation:

what is the next 3 terms for (-6,42,-294,2058)

Answers

Answer:

es

Step-by-step explanation:

Answer:

A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.

Step-by-step explanation:

In an online practice test, Sam got 11 correct answers. However, 3.5 points were deducted for incorrect answers. If he scored 18.5 points in the test, how much did he score for each correct answer?

Answers

Answer: 18.5/11=37/22 or 1.68181818181...

The scale of a map is 1.5cm : 75km. What is the actual distance between two
towns that are 3.5cm apart on the map?

Answers

Answer:

175 km

Step-by-step explanation:

1.5/75=3.5/x

1.5x=262.5

x=175

If the perimeter of the regular pentagon is 75 cm what is the length of each side

Plz help nowww

If you wanna be crowed a brainliest:-)

Answers

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

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