The 6th graders filled 66% of the seats in the theater on the field trip.
To find the percentage of seats in the theater that were filled by the 6th graders on the field trip, we can use the following formula:
Percentage = (Filled Seats / Total Seats) * 100
Filled Seats = 2112
Total Seats = 3200
Substituting the values into the formula:
Percentage = (2112 / 3200) * 100
Percentage = 0.66 * 100
Percentage = 66%
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The 6th-grade students filled approximately 66 percent of the 3200 seats in the theater during their field trip to see the ballet.
Use the concept of percentage defined as:
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Given that,
A middle school took its 6th-grade students on a field trip to see a ballet.
The field trip took place at a theater.
The theater has a total of 3200 seats.
The 6th-grade students filled 2112 of the seats in the theater.
To calculate the percentage of seats filled by the 6th-grade students:
Use the formula = (Number of seats filled / Total number of seats) x 100.
In this case,
The number of seats filled by the 6th-grade students is 2112, and the total number of seats in the theater is 3200.
Put the values, we get,
(2112 / 3200) x 100 = 66%
Hence
The 6th graders filled approximately 66% of the seats in the theater.
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Identify the sample space of the probability experiment: Answering a true or false question.
A) 1
B)2
C)4
D)5
Answer:
there are 5
Step-by-step explanation:
"im different"
The sample space of the statement is 2.
What is sample space?"A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment. If it contains a finite number of outcomes, then it is known as discrete or finite sample spaces."
"The samples spaces for a random experiment is written within curly braces “ { } “. There is a difference between the sample space and the events."
The given statement is "Answering a false question"
Sample space of the following is S = {True, False}
Hence B is the correct option.
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Factor each expression into its simplest form
5x-30
Answer:
5(x-6)
Step-by-step explanation:
fisifjejgjskdkakskfk
SOMEONE PLEASE HELP!!!Which of the following represents the synthetic division form of the long
division problem below?
Answer:
Choice C
Step-by-step explanation:
When setting up synthetic division you do:
x-5=0
x=5
and get the numerator's coefficients:
1, -3, 4
so that's 5 | 1 -3 4
Answer:
C
Step-by-step explanation:
You need to equal the denominator (x — 5 = 0)
When you leave the x alone the result is x=5, so the number outside the “house” is five.
Then you look at the equation in the numerator and you place the coefficients in order and with their signals.
X^2 the coefficient is 1
-3x the coefficient is -3
4 the coefficient is 4
convert the binary number to a decimal number (show workings)
1011101
1011101₂ = 1 • 2⁶ + 1 • 2⁴ + 1 • 2³ + 1 • 2² + 1 • 2⁰
1011101₂ = 64 + 16 + 8 + 4 + 1
1011101₂ = 93₁₀
Select all of the fractions that are equivalent to 2/3
Answer:
there's a lot:
Step-by-step explanation:
4/6,3/9,4/12,5/15,10/30,20/60,60/180.
this is the most i can do until i cant multiply anymore.
]I need help with just B and c I got A
Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95
A. Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
B. Between which years will the beaches have approximately the same width?
C. Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?
Answer:
heres b i cant answer c cause i dont really understand it sorry Q-Q
Step-by-step explanation:
(b) Dunes Beach
In 15 yr, Dunes Beach builds up from 20 ft to 95 ft.
The rate of buildup is 75 ft/15 yr = 5 ft/yr.
Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father. He spent
one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?
(0.20 - 10) dollars
(0.20 - 50) dollars
(0.160 + 10) dollars
(0.160 - 10) dollars
Answer:
(0.16d - 10) dollars
Step-by-step explanation:
"Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father."
Start with d dollars.
He put 20% of d dollars in the bank. 20% of d is the same as 0.2d.
Now he has d - 0.2d = 0.8d
He paid his father $50.
Now he has 0.8d - 50
"He spent one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?"
He spent 1/5 of 0.8d - 50 on a video game, so he spent on the video game:
1/5 * (0.8d - 50) = 0.16d - 10
Answer: 0.16d - 10 dollars
(You forgot the "d" in the answers."
(0.16d - 10) dollars
have an nice day
Solve for x.
4(1 - x) + 2 x = -3(x + 1)
question 5: 6 people go to a movie and sit next to each other in 6 adjacent seats in the front row of the theatre. if a cannot sit to the right of f, how many different arrangements are possible?
The number of different arrangements possible will be 600.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
6 people go to a movie and sit next to each other in 6 adjacent seats in the front row of the theatre. If "A" cannot sit to the right of "F".
The total number of sitting will be
⇒ 6!
⇒ 6 x 5 x 4 x 3 x 2 x 1
⇒ 720
If A and F sit together, then the number of arrangements will be
⇒ 5!
⇒ 5 x 4 x 3 x 2 x 1
⇒ 120
Then the number of different arrangements possible will be
⇒ 720 - 120
⇒ 600
Thus, the number of different arrangements possible will be 600.
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plss help me im on a timer 12 mins left plsssss
Answer:
$47.85
Step-by-step explanation:
you multiply.
Answer:
$47.85
Step-by-step explanation:
Calculator
graph the function: g(x)=3x^2+1
Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that the parent function is:
f(x) = x².
The shifted function is:
g(x) = 3x² + 1.
The transformations are given as follows:
It was vertically compressed by a factor of 3, due to the multiplication by 3.It was shifted up 1 unit, due to the addition of 1.In the graph at the end of the answer, both functions are shown, with f(x) in red and g(x) in blue.
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How do you find the slope of the line passing through each pair of points (-4, 19), (4, 9)
Answer:
[tex]m=\frac{7}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, 19)
Point (4, 9)
Step 2: Find slope m
Substitute: [tex]m=\frac{9+19}{4+4}[/tex]Add: [tex]m=\frac{28}{8}[/tex]Simplify: [tex]m=\frac{7}{2}[/tex]4 2/5 divided by 3 1/7 euals plz give mixed number answer ty
b) If (a - b) = 4 and ab = 2, find the value of a² + b².
Answer:
20
Step-by-step explanation:
note that
(a - b)² = a² + b² - 2ab , thus
a² + b² - 2ab = (a - b)² ( add 2ab to both sides )
a² + b² = (a - b)² + 2ab = 4² + 2(2) = 16 + 4 = 20
Corrine bought 8.4 pounds of almonds. She divided them into 30 snack-size bags. How many pounds are in each bag?
helphelphelp ASAPPPPP!!!!!
Answer:
0.28 pounds in each bag.
Step-by-step explanation:
There are 0.28 pounds in each snack-size bag.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.
For example 4/2 = 2
We have been given that she bought 8.4 pounds of almonds. She divided them into 30 snack-size bags.
We have to determine the number of pounds in each bag.
The number of pounds in each bag = total quantity of almonds ÷ number of bags
The number of pounds in each bag = 8.4 pounds ÷ 30 bags
The number of pounds in each bag = 8.4/30
Apply the division operation, and we get
The number of pounds in each bag = 0.28 pounds
Thus, there are 0.28 pounds in each snack-size bag.
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an amusement park charges an admission fee of 40 dollars per person. the cost, c (in dollars), of admission for a group of people is given by the following function.
Cost of admission for a group of 2 people = 80 dollars
Admission fee for one person = 40 dollars.
Let 'c' be the cost (in dollars) of admission for a group of people, 'p'.
The function modelling this situation is given by, c(p) = 40p
This is an example for linear function modelling in real life situations.
To find the cost of admission for a group of 2 people , substitute p = 2 in c(p).
That is , c(2) = 40 x 2 = 80 dollars.
So the cost of admission for a group of 2 people = 80 dollars.
The question is incomplete. Find the complete question below:
An amusement park charges an admission fee of 40 dollars per person. The cost, C (in dollars), of admission for a group of P people is given by the following. C=40p What is the cost of admission for a group of 2 people?
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The pants cost $40 and Gina had a coupon for 15% off how much money did she save?
Answer:
she saved 6$ because 15% off 40=34 40-34=6
Place the numbers in order from smallest to largest. 22, -14, -35, 6
Answer:
-35, -14, 6, 22
Step-by-step explanation:
-35, -14, 6, 22
Step-by-step explanation:
It just is
What is the value of -5 x 6
Answer:
-30
Step-by-step explanation:
I used a calculator
how do I do 3y - 6 = 2x
I’m using the rest of my points please help! I’m so lost and my math teach never explained it and would only talk about politics
8EWHFSCKJYFCHBDCFAESSREDSEREDSEEEEEEEEJDUJEURYRHDNCX NX NNDND
Answer:
The translation 3 units down and 5 units to the left
Step-by-step explanation:
Graph of |x| is the one starting in the origin and the other one is the other picture
Joe made 14 out of 34 free throws. If Gabrielle shoots 28 free throws, what is the
minimum she would have to make to have a better free-throw percentage then Joe?
Answer:
if she makes all of them
Step-by-step explanation:
Consider the equation 2x + 2y=8.
Write an equivalent equation by multiplying the equation by 3.
Does the equation have the same solution set?
6x+ 2y = 24, yes it has the same solution se
2x + 6y =8, no it doesn't have the same solution set.
6x+ 6y = 24, no it doesn't have the same solution set.
6x + 6y = 24, yes it has the same solution set!
O
Answer:
A) 6x + 6y = 24, Yes, they have the same solution set
Step-by-step explanation:
Let's first start by multiplying the equation by 3:
(2*3)x + (2*3)y = 24
6x + 6y = 24
Now lets find the solution set for both:
6y = -6x + 24
y = -x +4
2y = -2x + 8
y = -x +4
Yes, they have the same solution set
If I would drop two eggs off of a building (one being at a higher position than the other) which one would drop faster and why?
Answer: Simple Answer.
The simplest way to obtain the minimal floor is to throw an egg from the first floor, then from the second and so on. This way when the egg is finally broken then we will know that this is the floor. This is a reliable algorithm, but in the worst-case scenario it would take 100 throws.
The important thing to notice is that it is the only reliable algorithm when you have only one egg. So you need to start using this algorithm when you break the first egg.
Step-by-step explanation: Intuitive answer.
This way, our first egg should be used to split the 100 floors range into smaller ranges as efficiently as possible. Thus, an intuitive and popular answer is to throw the first egg from 1/n-th of the floors to check. For instance 1/3. Then the algorithm will look like the following:
Throw the egg from 33rd floor. If it breaks, then we check the first 32 floors using the second egg.
Otherwise, we throw the egg from 33 + (67 * 1/3) = 55th floor. If it breaks, then we check floors 34 to 55 using the second egg.
…
Worst case scenario for 1/3 is max(33, 24, …) = 33. This way we might find a perfect n that optimizes the number of throws using some dynamic programming. This is a valuable solution that presents programming thinking, but it is not an optimal solution.
The optimal solution is when all arguments of this max function are equal. How do we achieve it? Looking from the end, the last D(n) is going to be 1, because we will finally get to the point where there is only the single floor for the first egg. Therefore D(n-1) should be equal to 2 because it has one less throw of the first egg.
We see then that the first egg should be thrown finally from the 99th floor, previously from 99–2=97, previously from 97–3=94, 90, 85, 79, 72, 64, 55, 45, 34, 22 and the 9th floor. This is an optimal solution! This way, we need 14 throws in the worst case scenario (the smallest difference is 13, but we had to make one extra throw on the 9th floor).
Simple equation to find the answer is following:
Where f is number of floors. This can be simplified to: min n*n+ divided by 2 greater than f
That is equal to: n=ceil 8f + 1 - 1, divided by 2
Juan and Maria walk dogs in their neighborhood. Maria walks 10 more than twice the number of dogs Juan walks. Together they walk 52 dogs. Which system of equations models this situation if j represents the number of dogs Juan walks and m represents the number of dogs Maria walks? j=2m−10 j+m=52 m=2j+10 m+j=52 j=2m+10 j+m=52 m=2j−10 m=52−j
Answer:
m=2j+10
m+j=52
Step-by-step explanation:
juan = j
maria = m
m = 2j + 10
m + j = 52
A college student mows lawns to cover his weekly expenses. The student charges $10 for each hour he spends .mowing lawns Identify the related and unknown quantities.
Which two unknown quantities in this situation are related?
A.
The amount of money the student earns
B.
The number of college students mowing lawns
C.
The number of hours the student spends mowing lawns
D.
The number of lawns the student mows
Answer:
A. and C.
Step-by-step explanation:
Caroline made w batches of 12 cookies how many cookies did she make?
(12 cookies in each batch)
Answer:
144 i multiplied 12x12=144
Step-by-step explanation:
Can some one help me wit this please
Answer:
I think its taylor,pine,rector or pine,taylor,rector
Find the range for the domain {-3, 1,4.5} f(x) = 2x
Answer:
Step-by-step explanation:
f(x) = 2x2
Range = {f(-3), f(1), f(4), f(5)} = {18, 2, 32, 50}
a chemist is using 356 milliliters of a solution of acid and water. if 19.3% of the solution is acid, how many milliliters of acid are there? round your answer to the nearest tenth.
The solution contains 68.7 milliliters of acid, according to the data provided.
What is a acid in a solution?An acid is any substance that tastes sour in water, turns blue litmus paper red, combines with some metals to free hydrogen, reacts without bases to form salts, and facilitates chemical reactions (acid catalysis).
How do you recognize an acid?Count the hydrogens in each component both before and after the reaction to determine if it is an acid or a basic. If the amount of hydrogens has reduced, that material seems to be the acid (which donates hydrogen ions).
According to the given data:Solution = 356 milliliters
Acid = 19.3% of solution
The amount of acid in the solution is calculated as:
Acid = 19.3% × 356 milliliters
Evaluate
Acid = 68.708 milliliters
Acid = 68.7 milliliters
The solution contains 68.7 milliliters of acid, according to the data provided.
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