A theater has 30 rows of seats. There are 22 seats in the first row, 26 in the second row, 30 in the third row, etc. How many people will the theater hold ?
Arithmetic Sequence
rows ---------32-n
first term ------------26-----------a
d---------------------------4
Sn = n/2( 2a+(n-1)d)
=32/2 (2*26+(31)4)
=16(52+124)
=16(176)
=2816 seats
If theater has 30 rows of seats, then the number of people that the theater will hold is 2400 people.
To find out how many people the theater will hold, we need to calculate the total number of seats across all 30 rows. Since the number of seats increases by 4 for each successive row, we can treat this as an arithmetic sequence.
The formula to find the sum of an arithmetic sequence is = (n/2) × (first term + last term),
where n = number of terms and the first and last terms are given,
In this case : First term = 22,
Last term = 22 + (30 - 1) × 4 = 22 + 116 = 138,
Number of terms (rows) = 30,
Sum = (30/2) × (22 + 138) = 15 × 160 = 2400;
Therefore, The theater will hold 2400 people.
Learn more about Arithmetic Sequence here
https://brainly.com/question/34721740
#SPJ3
May I please receive help?
Answer:
28°
Step-by-step explanation:
1. We can see that ∠GFH has two smaller angles within it: ∠1 and ∠2. Given that m∠GFH is 53° (the whole thing), and m∠2 is 25° (a part of it), we just have to subtract 25 from 53 to get the measure of ∠1.
[tex]53 - 25[/tex] [tex]28[/tex]Therefore, m∠1 = 28°.
Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.
Answer:
Where is the Table?
Step-by-step explanation:
The number of students which prefer action-movies to scary movies are 25 students.
To predict how many more students prefer action movies to scary movies, we calculate difference based on proportion of students who prefer action movies from surveyed group and then apply that proportion to total number of students in school,
Number of students who prefer action movies = 14,
Total surveyed students = 40,
Total school students = 200,
Proportion of students who prefer action movies = (Number of students who prefer action movies) / (Total surveyed students),
Proportion of students who prefer action movies = 14/40 = 0.35,
Predicted number of students who prefer action movies in school = Proportion of students who prefer action movies × Total school students
Predicted number of students who prefer action movies = 0.35×200 = 70,
Predicted number of students who prefer scary movies in the school = (Number of students who prefer scary movies) / (Total surveyed students) × Total school students,
Predicted number of students who prefer scary movies = (9/40)×200 = 45
Difference = (Predicted number of students who prefer action movies) - (Predicted number of students who prefer scary movies),
Difference = 70 - 45 = 25,
Therefore, the correct prediction is that 25 more students prefer action movies to scary-movies.
Learn more about Prediction here
https://brainly.com/question/25716361
#SPJ3
The given question is incomplete, the complete question is
Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.
what is the answer to
an=3-2(n-1)
All numbers greater or equal to 1
Please help me on this
Answer:
4/8 and 5/10
Step-by-step explanation:
since it is 1/2, take the top number and multiply it by two, 4x2=8 5x2=10 and since they equal to the second or bottom number it is equivalent
Chef Tashariah is cooking for a Sunday brunch she knows that 22 pancakes can feed 8 people
Answer: 22 people
Step-by-step explanation:
we can solve the problem by setting missing
what does x equel if there are 9 people 2 run away and the remaining number is x
Answer:
x=7 people
Step-by-step explanation:
x=9-2
Find the slope of the line that passes through (1, 2) and (10, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
8/9
Step-by-step explanation:
10-2/10-1=8/9
slope=8/9
Answer:
8/9
Step-by-step explanation:
Here,
(1,2)=(x1,y1)
(10,10)=(x2,y2)
Now,
Slope(m)=(y2-y1)/(x2-x1)
=(10-2)/(10-1)
=8/9
Colleen divided integer a by −2 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b.
a
b
= 6
Answer:
hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.
Step-by-step explanation:
6.5 x 1/9 please help
Answer:
13/18
Step-by-step explanation:
6.5 · 1/9 = 6 5/10 · 1/96 5/10 · 1/9 = 6 1/2 · 1/96 1/2 · 1/9 = 13/2 · 1/913/2 · 1/9 = 13/18Therefore, 6.5 · 1/9 = 13/18.
Name the part of AKTH.
TS is a(n) [blank].
PLEASE PLEASE HELP !!!
Answer:
I'm pretty sure that's an angle.
Step-by-step explanation:
HELP QUICKKKK!!!!!
HELP PLEASE ASAP
Sara says, "If you subtract 13 from my number and multiply the difference by -6, the result is
- 66." What is Sara's number?
Plss answerrrr thankyou!!
Answer:
Step-by-step explanation:
1 5/8 = 13/8
so
5/8 + 8/8
10/8 + 3/8
i could go on forever but.
do ya want to impress ya teacher?
500/800 + 800/800
and
2/4 + 4/4
A rectangular farm is 600m long and 200m wide. If 1/3 of it is used for planting rice, what is the area of the remaining land in hectares? a) 4ha b) 8ha c) 12ha d) 80ha e) 120ha please respond its urgent.
Answer:
8ha
Step-by-step explanation:
600*200 = 120000
120000* 1/3 = 40000
120000 - 40000 = 80000
10000m = 1ha
80000m = 8ha
The area of the remaining land is 8 hectares. The correct answer would be an option (B).
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
The total area of the rectangular farm is 600m × 200m = 120,000 square meters.
If 1/3 of it is used for planting rice, then the area used for planting rice is 1/3 × 120,000 = 40,000 square meters.
Therefore, the area of the remaining land is 120,000 - 40,000 = 80,000 square meters.
To convert this to hectares, divide by 10,000, so the area of the remaining land is 80,000 / 10,000 = 8 hectares. So the answer is 8 hectares.
Hence, the correct answer would be an option (B).
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
#SPJ2
Real answers and explanations ONLY! I’ll name you brainiest if correct
Answer:
1/10⁶ or 0.000001Step-by-step explanation:
For every time you have a probability of getting 1 is:
P(1) = 1/10For all 6, the probability of outcome of 1 is:
P(1x6) = (1/10)⁶ = 0.000001Probability of 1
P(1)=1/10Probability of 6
P(1×6)
(1/10⁶)10^{-6}A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the car?
60% of the people from the survey are completely satisfied
Write an algebraic expression for three times the sum of the first two multiples of four.
For three consecutive homework assignments, each assignment had one more question than the previous assignment. The total number of questions on the three assignments is greater than 51 a.Write an inequality to represent this situation, where q is the number of questions on the first assignment
The inequality that represents the situation is:
[tex]3q + 3 > 51[/tex]
The first assignment had at least 17 questions.
On the first assignment, there were q questions.Each assignment had one more question than the previous one, so the second had q + 1 questions and the third had q + 2 questions.The total number of questions is:
[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]
Since the total is greater than 51, the inequality is:
[tex]3q + 3 > 51[/tex]
Solving the inequality, we have that:
[tex]3q > 48[/tex]
[tex]q > \frac{48}{3}[/tex]
[tex]q > 16[/tex]
Thus, it is found that the first assignment had at least 17 questions.
A similar problem is given at https://brainly.com/question/24514895
A number y is multiplied by -0.8. The product is -49.
What is the value of y?
A square has an area of 4 square feet. What is the perimeter of the square, rounded to the nearest foot?
A. 8
B. 12.5
C. 28
D. 200
During a 1-hour period, a TV show has 40 minutes of programming. The rest of the
time is for commercials. How much time user every hour for commercials?
Answer:20 mins
Step-by-step explanation:
If its one hour than thats 60 mins which means you have to minus 40.thats is 20
Hope it helps
Answer:
20 Minutes
Step-by-step explanation:
An hour is 60 minutes.
60 - 40 is 20 minutes.
What is the ‘angle’ZQPT?
Please show the process of your result. Thank you! :D
Answer:
[tex]3\sqrt{7}[/tex] Is correct answer
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
WILL GIVE BRAINLIEST 100 POINTS
BRAINLIEST TO BEST EXPLANATION OF WHAT YOU DO TO FIND SCALE FACTOR AND CENTER :D
ANSWER ALL QUESTIONS FOR BRAINLIEST
Answer:
to find the scale factor for a dilation, we would find the center point of dilation and measure the distance from this center point to a point on the shape from before (preimage) and also the distance from the center point to a point on the shape.
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
Answer: The answer is $20
Multiply 400 by .05 or 5%.
If you wanna know 6 years it would be 536 usd
Explanation:
This would be an compound interest. Meaning that your gain every year would increase exponentially.
The equation to calculate this would be: Kn = K0⋅
(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.
Kn=400⋅
(1+5100)6
What is the value of z?
Point S lies on AB. If AB = 34 units, AS = 5 + 2x units, and SB = x + 2 units, what is the length of AS in units?
Enter the correct answer in the box.
units
Answer:
AS=9
Step-by-step explanation:
Name the marked angle in 2 different ways
Answer:
Step-by-step explanation:
Angle ECB or angle BCE should do it
jamie is 3 years less than three times Andys age. In five years the sum of their ages will be 59.How old are they now
Answer:
Andy : 13 years old and
Jamie: 36 years old
Step-by-step explanation:
Andy = x
Jamie = 3x - 3
In 5 years:
(X+5)+(3x-3+5) = 59
4x + 7 = 59
4x = 59 - 7
x = 52/4
x = 13