Renting the ice-skating rink for a birthday party costs $200 plus $4 per person. the rental costs $324 in total

Answers

Answer 1
31 people, you do 324-200=124 and divide 124 by 4 and get 31 people
Answer 2

If we can translate the statement "The ice rink costs $200 plus $4 per person to rent for a birthday celebration and the entire cost of the rental is $324" into an algebraic equation, we get 4x + 200 = 324, where x is the number of people at the birthday party. The solution of this equation i.e. the number of people at the birthday party is 31.

What is an algebraic equation?

A statement of the equivalence of two expressions created by executing algebraic operations on a set of variables, such as addition, subtraction, multiplication, division, raising to a power, and root extraction, is known as an algebraic equation.

How to solve this problem?

Let the number of people at the birthday party be x.

Given that the ice rink costs $200 plus $4 per person to rent for a birthday celebration. So, the rent is 4x + 200.

Also, given that the entire cost of the rental is $324.

We can write the corresponding algebraic equation as

4x + 200 = 324

Now we have to solve this equation.

So, 4x = 324 - 200 = 124

i.e. x = 124/4 = 31

Therefore the required algebraic equation is 4x + 200 = 324, where x is the number of people at the birthday party. Also, the solution of this equation i.e. the number of people at the birthday party is 31.

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Related Questions

A community hall is shape of a cuboid. The hall is 40 m long, 15 m wide and 3 m high. The community hall needs re-decorating with new point for the walls and ceiling, and new tiles on the floor. A 10 litre tin of paint covers 25m*25m and costs £10. 1m*1m floor tiles cost £3 each. Work out the total cost of paint and tiles needed to re-decorate the community hall.

Answers

Total cost for tiles and paints is $924.
Step-by-step explanation:
We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.
The paint will be required for 4 walls and ceiling.
Let us find area of walls and ceiling.



Therefore, the area of walls and ceiling is 1410 square meters.
Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,


Therefore, the total painting cost is $564.
Tiles will be required for floor. Let us find the area of floor.


Given: 1m squared floor tiles costs $3. So,

Therefore, the total cost for tiles is $360.
Now let us find combined total cost of tiles and paint.

Therefore, the combined total cost of tiles and paint is $924.

HELP ME OUT REAL QUICKKKKKKKKKKKKK

Answers

The answer should be 7/8
The answer is b 7/8 good luck

What is 24×4
please answer and give expalnation

Answers

(1)24
4*
___
96
0+
____
96
(4*4)=16 = 6 (the 6 will remian and one we added with 2)
(2+1*4)=9
know the answer will be 96

Use the digit 5, 7, and 2 to write four numbers that are greater than 400.​

Answers

Answer:

All the possible numbers:

257275527572725752

numbers greater than 400:

527572725752

your answers : 527, 572, 725, 752

mrk as brainleist ☺️

HURRY PLEASE!!! I NEED TO TURN THIS IS SOON!! I WILL GIVE YOU BRAINLIEST!!
i need the equation you solved it with also!

Answers

Answer:

x=31

Step-by-step explanation:

180-75=115

4x-9=115

4x=124

x=31

Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cups of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
A.2 1/2
B.3
C.3 1/2
D.5

Answers

Answer: B or 3

Step-by-step explanation:

had this question on my quiz

What is the atomic number of an atom?


A. the number of electrons and neutrons


B. the number of protons


C. the number protons and neutrons


D. the number of neutrons

Answers

Answer:

the number of protons in the nuclues of an atom

When is the sum of two integers equal to zero? Explain.

Answers

Answer:

Rule: The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

Step-by-step explanation:

Hope this helped if so leave a rating! :)

THANKS!

A good general rule for this course is to be organized, set a study schedule, and review your work.
True
False

Answers

Answer:

True

Step-by-step explanation:

Being organized, having a study schedule and reviewing your work are all great habits to becoming a well-rounded student and generally succeeding in a course.

Please rate 5 stars and/or say thanks if I was able to help!

Have a good day!

~Roi

4x-3(x+4)=7 i need to know this i need help with this.

Answers

Answer:

x=19

Step-by-step explanation:

4x-3x-12=7

x-12=7

x=7+12

x=19

Answer:

x=19

Step-by-step explanation:

first you would distribute the -3 to the x and the 4 which would give you

4x-3x-12=7

next you would combine like terms (there's always an invisible 1 one front of a variable)

x-12=7

then to get the variable by itself you would add 12 on each side

x=19

hope this helped :)

PLEASE HELP QUICK WILL GIVE BRAINLIEST
What is the new equation if the parent function, y = 2*, is reflected over the
asymptote, and vertically shifted 8 units up?

Answers

f(x)=ex f ( x ) = e, x is vertically stretched by a factor of 2. Hope this helps!

Evaluate 8+3e when e = 2

Answers

Answer: 14

Step-by-step explanation: bru is simple

Answer:

8+3e=8+3(2)=8+6=14. aswer is 14

hope this helps u plz give me the brainliest pplzz

can someone please help
f(t) = 2t - 3
f(7)=

Answers

11

explanation
2(7)-3=11

(Giving brainliest!!!)

How do you solve 7,124 ÷ 26 using standard algorithm?

Answers

Answer:

274

Step-by-step explanation:

The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add.

However, in the standard way the adding is done at the same time as multiplying. The calculation looks more compact and takes less space than the “easy way to multiply” you have learned.(i really think this is correct but I am so so sooo sorry if it's not!!!!)

What is the slope of the line whose equation is y-4={(x-2)?
у
-6
5
4
(2,4)
8
N
х
5 -5 -4 -3 -2 -21
2 3 4 5 6
(0, -1)
1

Answers

Answer:

1

Step-by-step explanation:

coefficient if x term is 1

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

The slope of the line whose equation is y - 4 = (x - 2) is,

⇒ m = 1

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Equation of line is,

⇒ y - 4 = x - 2

Now, We can simplify for slope as;

⇒ y - 4 = x - 2

⇒ y = x + 2

⇒ dy/dx = 1

⇒ m = 1

Thus, The slope of the line whose equation is y - 4 = (x - 2) is,

⇒ m = 1

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Find the ratio a:b if it is given that ... a+3b/5=a-2b/2. HELP RIGHT NOW PLS

Answers

By simplifying the given equation, we can see that the ratio a:b is:

8:1

How to find the ratio a:b?

We start with the equation:

(a + 3b)/5 = (a - 2b)/2

The first thing we need to isolate each variable in one side of the equation.

(a + 3b)/5 = (a - 2b)/2

2*(a + 3b) = 5*(a - 2b)

2a + 6b = 5a - 10b

6b + 10b = 5a - 2a

16b = 2a

So, 16 times b is equal to 2a

We can write this as:

b/2 = a/16

b = a/8

Then the ratio a to b is:

8:1

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What is the value of P(S and T)?

A.

B.

C.

D

Answers

Answer:

0.25 but I am not sure umm I think

what linear function contain the following point (-4, 4) and (0, 5)

Answers

Answer:

y = 1/4x + 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Random Point (-4, 4)

y-intercept (0, 5)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{5-4}{0+4}[/tex]Subtract/Add:               [tex]m=\frac{1}{4}[/tex]

Step 3: Write linear equation

y = 1/4x + 5

Use substitution to solve the system.
x = 3y - 12
5x + 3y = 30
I would appreciate answers

Answers

Answer:

its ( 3,5) Equation form is: x  =  3  ,  y  =  5

Step-by-step explanation:

I need a tutor or someone that’s willing to help ... but can someone pls answer

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

Your slope is 1/2

Step-by-step explanation:

Slope is rise over run or m=rise/run rise being the Y value and X being the run value. You can count the grid on the graph provided.

rise= 1

run= 2

if Afsheen can read 39 pages of a book in half an hour how much will it take her to finish the book that is 1287 pages​

Answers

We are given:

Afsheen can read 39 pages in 30 minutes

Time taken by Afsheen to read 1287 pages:

Time taken to read 1 page:

Time taken to read 1 page = time taken to read 39 pages / 39

Time taken to read 1 page = 30 minutes / 39

Time taken to read 1 page = 0.77 minutes

Time taken to read 1287 pages:

Time taken to read 1287 pages = Time taken to read 1 page * 1287

Time taken to read 1287 pages = 0.77 * 1287

Time taken to read 1287 pages = 991 minutes OR 16.52 hours (Approx)

Answer:

in 1 hour = 2×39= 78 pages

so 1287 pages= 1287÷78= 16.5 hours

Step-by-step explanation:

it takes 16. 5 hours that means 16 hours 30 min

ABCD is a rectangle. The length of AC is 3x - 1. The length of BD is 2x + 5.
What is the length of AC?
a.3
b.6
c.13
d.17

Answers

Answer:

C.13

Step-by-step explanation:

Water flows through a pipe at a rate of 2 fluid ounces per second. Express this rate of flow in quarts per minute.

Answers

Answer:

Step-by-step explanation:

3.75

Water flows through a pipe at a rate of 3.75 fluid quarts per minute.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Water flows through a pipe at a rate of 2 fluid ounces per second.

2 ounces = 0.0625 quarts

And 1 second = 0.0166667 minutes

So, water flows through a pipe at a rate of 0.0625 quarts per 0.0166667 minutes.

Water flows through a pipe at a rate of 3.75 fluid quarts per minute.

Therefore, the rate is  3.75 fluid quarts per minute.

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What is the value of f(g(3))

Answers

Answer:

A

Step-by-step explanation:

f(g(3)= f(g(x=3)) = f([tex]\frac{3+1}{3-1}[/tex]) = f(4/2) = f(2) = f(x=2) = 3*2-7 = 6-7 = -1

Answer:

Step-by-step explanation:

A . It is the correct answer

HELPPP ME!!! ASAP
PLZZZZZZZZZZ

Answers

ANSWER:i think its C

Step-by-step explanation:

7 comedy dvds, 4 more drama dvds than horror dvds. 15 dvds in all. how many drama and horror dvds are there?​

Answers

Step-by-step explanation:

2 horror and 6 drama DVDs.

Let x be the no. Of horror dvds

15 = 7+ x+x+4

4=2x

x=2

Please answer all of these

Answers

Answer:

I am not certain but

Step-by-step explanation:

4. y=-6x-48

5.-7 and 4

thoes are the only ones I know but good luck

Can someone help me ASAP???

Four friends are in a swimming race. each Swim as many laps as they can and then tag the next one until they complete 50 laps the first swimmer completes 4/10 of the race. The 2ed completes 8 laps and the third summer complete 22% of the race how many laps will the last member have to swim to complete the race

Answers

Answer: The last member has to finish 11 more laps to complete 50 total laps

Step-by-step explanation:

[tex]\frac{4}{10}[/tex] of 50 =         20

2nd swimmer    8

22% of 50 =   + 11      

                        39 laps

---------------------------------------------

50 - 39 = 11 laps   (4th and last swimmer)

---------------------------------------------

P.S. I think this answer is late now

Find the area of the trapezoidal shown

Answers

Answer:

may you show us the pic so we can help?

Step-by-step explanation:

How many groups of 2/3 are in 3/5 a 915 B 9/10 C 1 1/3 D 1 1/9

Answers

Answer:

aaa

Step-by-step explanation:

35istohhhaaa bla bla nla

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