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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I need a tutor or someone that’s willing to help ... but can someone pls answer
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
7 comedy dvds, 4 more drama dvds than horror dvds. 15 dvds in all. how many drama and horror dvds are there?
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 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?
What is the value of P(S and T)?
A.
B.
C.
D
Answer:
0.25 but I am not sure umm I think
Use substitution to solve the system.
x = 3y - 12
5x + 3y = 30
I would appreciate answers
Answer:
its ( 3,5) Equation form is: x = 3 , y = 5
Step-by-step explanation:
HURRY PLEASE!!! I NEED TO TURN THIS IS SOON!! I WILL GIVE YOU BRAINLIEST!!
i need the equation you solved it with also!
Answer:
x=31
Step-by-step explanation:
180-75=115
4x-9=115
4x=124
x=31
A good general rule for this course is to be organized, set a study schedule, and review your work.
True
False
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.
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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
Answer:
1
Step-by-step explanation:
coefficient if x term is 1
Topic: coordinate geometry
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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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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
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
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How do you solve 7,124 ÷ 26 using standard algorithm?
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!!!!)
Evaluate 8+3e when e = 2
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 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
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
Answer:
may you show us the pic so we can help?
Step-by-step explanation:
What is the value of f(g(3))
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
HELP ME OUT REAL QUICKKKKKKKKKKKKK
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
Answer:
the number of protons in the nuclues of an atom
Find the ratio a:b if it is given that ... a+3b/5=a-2b/2. HELP RIGHT NOW PLS
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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Use the digit 5, 7, and 2 to write four numbers that are greater than 400.
All the possible numbers:
257275527572725752numbers greater than 400:
527572725752your answers : 527, 572, 725, 752
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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
Answer: B or 3
Step-by-step explanation:
had this question on my quiz
What is 24×4
please answer and give expalnation
4x-3(x+4)=7 i need to know this i need help with this.
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 :)
can someone please help
f(t) = 2t - 3
f(7)=
Water flows through a pipe at a rate of 2 fluid ounces per second. Express this rate of flow in quarts per minute.
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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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.
Please answer all of these
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
How many groups of 2/3 are in 3/5 a 915 B 9/10 C 1 1/3 D 1 1/9
Answer:
aaa
Step-by-step explanation:
35istohhhaaa bla bla nla
what linear function contain the following point (-4, 4) and (0, 5)
Answer:
y = 1/4x + 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra 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-interceptStep-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
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
Answer:
C.13
Step-by-step explanation:
When is the sum of two integers equal to zero? Explain.
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:
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THANKS!
HELPPP ME!!! ASAP
PLZZZZZZZZZZ
ANSWER:i think its C
Step-by-step explanation: