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.
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What will be the total cost for 10 hours of work?
Answer:
Datas are not given
................
The graph of y = x2 + 4x + 3 is shown.
a) What are the coordinates of the turning point?
b) What are the coordinates of the roots of the equation x + 4x + 3 = 0 ?
Answer:
a.(-2,-1)
b.(-3,0) and (-1,0)
Step-by-step explanation:
the roots are 2
If you can help please do! Thank you!
Answer:
see explanation
Step-by-step explanation:
The diagonals of a parallelogram bisect each other , then
CO = OA = b
DO = OB = a
(a)
CA = CO + OA = b + b = 2b
(b)
DC = DO + OC = a - b
(c)
CB = CO + OB = b + a = a + b
13 25 37 arthmetic progression
Answer:
Progression in increments of value 12
Step-by-step explanation:
13 25 37 49 61 73 85 97 .....
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Miss Hawaii
The diagram below represent the rate of making copies on a copy machine. Which table represent this rate?
Answer:
its B
Step-by-step explanation:
the sum of a number and 11
Hello!
The sum of a number and 11:
Let's say that the number is x. So the expression "the sum of a number and x" looks like this:
x+11
Hope this helps you!
~Just an emotional teen who listens to her favourite songs
[tex]SilentNature[/tex]
Hey there!
Guide:
• The word “sum” means “add” or “addition”
• The word “difference” means “subtract” or “subtraction”
• The word “product” means “multiply” or “multiplication”
• The word “quotient” means “divide” or “division”
NOW THAT WE HAVE ALL OF THAT INFORMATION, WE CAN SOLVE FOR YOUR EQUATION
“The SUM of a number and 11”
Well since the “number” is unknown we can label it as “a” so we can know what we’re ADDing to 11…
So, your equation should be: a + 11
Answer: a + 11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
which is colder -3°c or -2°c
Answer:
-2 is colder
Step-by-step explanation:
Becuase when you get to the negative the Closest number to 0 is greater which means -2 is closer to 0 which makes it colder.
(Hope this helps can I pls have brainlist (crown)☺️)
guy pls help me!!!!!
Answer:
x = 38
Step-by-step explanation:
180° - 142° = 38 °
....
Simplify to positive exponents(4^-4)^2A. 4^12B. 1/4^8C. 4^3D. 1/4^4
helppppppppppppppppppppppppppppppp
These are your answers:
a) 6.7
b) 6.7
c) 10
d) 10
e) 100
f) 100
Hope this helps.
I need help understanding how to do this. I can understand the basic idea, I just don't know how to work with letters very well.
Answer:
(etr)^3 , 70f^6g^2h
Step-by-step explanation:
e^2r^2t^3
e^3r^3t^2
LCM=e^3r^3t^3
(etr)^3
10f^2gh
35f^3g^2
LCM= 70f^3g^2h
Dilations of a triangle are congruent to the original triangle. true or false
Answer true
Step-by-step explanation:
true
help is very much needed
Answer:
IT'S NEGATIVE 3. HOPE THIS HELPS...
A rental car company charges $54.35 per day to rent a car and $0.09 for every mile driven. Jayden wants to rent a car, knowing that: • He plans to drive 425 miles. • He has at most $310 to spend. Use the drop-down menu below to write an inequality representing d, the total number of days Jayden can rent the car while staying within his budget.
The inequality representing d, the total number of days Jayden can rent the car while staying within his budget is 54.35d + 38.25 ≤ 310
Given:
Charge per day = $54.35
Charge per mile = $0.09
Total miles = 425 miles
Amount to spend = at most $310
let
d = number of days
The inequality:
54.35 × d + 0.09 × 425 ≤ 310
54.35d + 38.25 ≤ 310
54.35d ≤ 310 - 38.25
54.35d ≤ 271.75
d ≤ 271.75 / 54.35
d ≤ 5 days
Therefore, the total number of days Jayden can rent the car while staying within his budget is 5 days
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katie can mow at a constant speed rate of 4/5 lawns per hour
Answer:
y=4/5x+B
what is the whole question?
The area for any square is given by the function ()=2, where x is the length of a side of the square and y is the area of the square. Find the area of a square with a side length of 3.5 inches.
f(3.5)=
square inches
ENTER THE NUMERICAL ANSWER ONLY. ENTER YOUR SOLUTION AS A DECIMAL. ROUND TO THE NEAREST HUNDREDTH IF NECESSARY.
Answer:
12.25 sq inches
Step-by-step explanation:
3.5*3.5=12.25
Algerbra, pls answer fasttttttt
Answer:
Step-by-step explanation:
please help me please
help with this question
Answer:
C) (x-3)(x+3)
Note:
Just a tip there is an app called Desmos where you can put in equations like this and it will graph them for you.
[tex]500+500+500[/tex]
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: uoᴉʇnlos ɹnoʎ sᴉ ǝɹǝɥ
[tex]500 + 500 + 500[/tex][tex]1500[/tex]please please help with question ill give high points and brainliest
Answer:
Step-by-step explanation:
Clarissa climbs into the back of the truck to tie the lawn mower in place. If she does 528 joules of working raising herself to the truck bed, how much force did she apply?
THIS ABOUT TO BE OVERDUE PLS HELP ME
20% of the tickets sold at a water park were child tickets. If the park sold 50 tickets in all,
how many child tickets did it sell?
tickets
Answer:
= 10 tickets
Step-by-step explanation:
= 20% × 50
= 20/100 × 50
= 1000/100
= 10
WHAT ARE CONGRUENCE LINES
Answer:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... Rays and lines cannot be congruent because they do not have both end points defined, and so have no definite length.
In which situation would you most likely round numbers? (A) When you need to measure a precise amount of butter for cake recipe
(B) When you need to find out exactly how many guests are coming to your birthday party
(C) when you need to figure out about how much of a Carton of milk a box of cookies will cost together
(D) when you need to count the number of birthday cards and gifts you receive to be sure you didn’t lose any
Answer:
C
Step-by-step explanation:
its the only one that doesnt say precise or exactly or sure
Answer: C
Step-by-step explanation: when you need to figure out about how much of a Carton of milk a box of cookies will cost together. (You see it says "about" which means get it near the exact point. As for the others it uses words like "precise, exactly, etc".
angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of each angle.
Answer:
M = 26 degrees, N = 64 degrees
Step-by-step explanation:
When 2 angles are complementary, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.
M is measure of angle M
N is measure of angle N
M + N = 90 degrees
M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)
We can then use the second equation to substitute in M in the first equation with N - 38
N - 38 + N = 90
2N - 38 = 90
2N = 128
N = 64 degrees
We plug this value back into the first equation to find M
M + 64 = 90
M = 26 degrees
The measure of ∠M and ∠N are 26° and 64° respectively.
What is a supplementary angle ?Supplementary angles sum to 180°.If two angles are supplementary their sum is 180° and sum of two complementary angles is 90°.
According to the given question angle M and angle N are complementary.
∴ Sum of these two angles ∠M + ∠N = 90°.
Assuming measure of ∠N to be x°,So the measure of ∠M is (x-38)°.
Therefore, x + (x-38) = 90°.
2x = 90° + 38°
2x = 128°.
x = 64°.
∴ The measure of ∠M is (64 - 38 )° = 26°.
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Use the graph below to find the x- and y - intercepts .
x-intercept : - 6; y - in ; intercept : 9
x-intercept: 1.5 ; y-intercept: 9
x-intercept : 9; y-intercept : - 6
x-intercept: -6; y-intercept: 3
7 fewer than w
Expression
Answer: w - 7
Step-by-step explanation:
The expression is simply less 7 less than w, or w - 7.
Solve for x:
10 = x+25
Answer:
[tex]\boxed{\sf x=-15}[/tex]
Step-by-step explanation:
[tex]\sf 10=x+25[/tex]
[tex]\sf x+25=10[/tex]
[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]
[tex]\sf x+25-25=10-25[/tex][tex]\sf x=-15[/tex]Answer:
x = -15
Step-by-step explanation: