Answer:
400 people attended the air show.
Step-by-step explanation:
Arithmetic sequence:
An arithmetic sequence has the following general equation:
[tex]a_n = a_1 + d(n-1)[/tex]
In which [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term and d is the common difference between the terms.
The sum of the first n terms of an arithmetic sequence is given by:
[tex]S_n = \frac{n(a_1+a_n)}{2}[/tex]
In this question:
First row 1 seat, second 3 seats, 3rd 5 seats and so on.
So we have the following arithmetic sequence:
{1,3,5,7,9,...}
So [tex]a_1 = 1, d = 9 - 7 = 7 - 5 = ... = 2[/tex]
So
[tex]a_n = 1 + 2(n-1)[/tex]
All 20 rows were filled. How many people attended the air show?
Sum of the 20 terms of the progression. So
[tex]S_{20} = \frac{20(1+a_{20})}{2} = 10(1+a_{20})[/tex]
The 20th term is:
[tex]a_{20} = 1 + 2(20-1) = 1 + 2*19 = 1 + 38 = 39[/tex]
So
[tex]S_{20} = 10(1+a_{20}) = 10(1 + 39) = 10(40) = 400[/tex]
400 people attended the air show.
Find the other endpoint when the midpoint is (4, 1) and one endpoint is (5,-1)
Answer:
(3,3)
Step-by-step explanation:
the difference between 5 and 4 is 1 so move down 1 from the mid point giving you 3
the difference between 1 and -1 is 2 so move right 2 from the mid point giving you 3
(3,3)
Answer pls thank you
Answer:
I got 5.19.
Step-by-step explanation:
With this number there is no way to get a perfect sqaure. When you square root it, you get a decimal. If there's an option where it says no perfect square I'd suggest putting that
What's the perimeter?
Answer:
The perimeter would be 55 units
Determine the amount or number of something mathematically
how do I add this? 1 3/4 + 3 2/8
Answer:
5
Step-by-step explanation:
Answer:
The answer would be 5
Step-by-step explanation:
Which is greater 27 or 72
Answer:
72??? For greater wise? Then yeah, 72.
Step-by-step explanation:
Answer:
there both equal if you add 2 and 7 equals 9
if you had 7 and 2 equals 9
Step-by-step explanation:
-2y + 4 > 10
solve the inequality
Step-by-step explanation:
-2y+4>10
subtract 4 from both sides
-2y+4-4>10-4
-2y>6
divide both sides by two
-2/2y>6/2
-1y>3
if negative y is greater than three than you have to multiply both sides of the equation by -1
y>-3 if you put that back into the earlier equation it is impossible.
so we have to switch the signs to < or less than
y<-3
Hope that helps:)
Simplify the expression 10 + 2(n + 5) + 4n
Answer:
6n + 20
Step-by-step explanation:
10 + 2n + 10 +4n
6n +20
Answer:
[tex]10 + 2n + 10 + 4n \\ 6n + 20 \\ 2(3n + 10)[/tex]
What is the y intercept of a line that passes through the points (2, -2.5) and (4, -2)
Answer:
-3
Step-by-step explanation:
To find the slope of this line, you have to subtract that first y coordinate from the second y coordinate, and divide that by the quantity equal to the second x coordinate minus the first.
-2 - -2.5 = 0.5
4 - 2 = 2
0.5/2 = 1/4
Now you plug in the info you already have into a y=mx+b format. Chose one of the pairs of coordinates given in instruction to be the x and y values.
-2 = 1/4(4) + b
-2 = 1 + b
-3 = b
-3 is the y-intercept.
If you buy 4 turkey subs that in total costs 26 dollars how much would 5 turkey subs cost.
Answer:
33/32.5
Step-by-step explanation:
26 divided by 4 equals 6.5
then 6.5 times 5 equals 32.5
Please I need some help hereeeeeeeeee
Answer and explain I’ll mark brainliest please help!!!!!
Answer:
230 were sold at the door
170 were sold in advance
Step-by-step explanation:
x=at door y=in advance
x+y=400
3x+2y=1030
y=-x+400
2y=-3x+1030
y=-3/2x+515
-x+400=-3/2x+515
x=230 y=170
PLEASE HELP !!
Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm
Answer:
200
Step-by-step explanation:
pi · radius · height
3.14 · 8 · 25 = 200
extra : i used symbolab.com :)
can somebody help me?
1,2,3 or 4?
Look at the picture.
Thank u!
Answer:
option 2
4/7
Step-by-step explanation:
Multiply 4/3x3/7 = 12/21
now simplify 12/21 = 4/7
PLEASE HELP URGENT!!
WILL GIVE BRAINLIEST
find the area of the composite figure.
-126 cm2
-140 cm2
-252 cm2
-280 cm2
Answer:
252cm².because,
we know Formula for finding Area of Trapizm.
That is,
1/2 × Sum of length of parallel sides × Height.
Here, we have 2 congruent Trapizm.
so,
Lengths of parallel sides = 16 and 20.
16 + 20 = 36.
Height = 7 cm.
Using Formula.
1/2 × 36 × 7
18 × 7
126 cm²
Here, we have two Trapizm...
so that..
126 × 2 = 252cm².
Answer:
252cm².
Step-by-step explanation:
I took the test
It costs $40 to register for Karate, then $15 per lesson. If Rachel is taking lessons and wants to spend no more than $250, how many lessons can she take?
Answer:
14 lessons.
Step-by-step explanation:
The inner circle circumference is 52 ft. the distance between the inner and the outer circle is 8ft. By how many ft is the outer circle larger?
Answer:
The outer circle is 16 feet larger than the inner circle (68 - 52).
Step-by-step explanation:
Given that the inner circle circumference is 52 feet, and the distance between the inner and the outer circle is 8 feet, to determine by how many ft is the larger outer circle, the following calculation must be performed:
The radius of a circle is equal to half its diameter. Therefore, the radius of the inner circle is 26 feet. Thus, if the distance between the two circles is 8 feet, the radius of the outer circle is 34 feet (26 + 8). Therefore, the diameter of this circle is 68 feet (34 x 2).
This implies that the outer circle is 16 feet larger than the inner circle (68 - 52).
Select the Ratio that is not equivalent to the rest.
25 points
12:25
6:15
14:35
2:5
In ΔMNO, m = 55 inches, n = 48 inches and o=59 inches. Find the measure of ∠O to the nearest 10th of a degree.
Answer: 69.5 degree
Can someone please help me what's the answer?
Answer:
k=77
Step-by-step explanation:
put this as the equation k/11=7
what divided by 11 equals 7. Just multiply 11 and 7 to get the answer.
y=3x-4 slope intercept form
Answer:the slope is 3 and the y intercept is -4
Step-by-step explanation:
The receipt below shows the money, in dollars, spent by a customer at the good groceries stores
1.) Eight monkeys eat 16 lb of bananas a day. How many pounds of bananas are needed to feed 10 monkeys?
Answer:
20, since it has a rate of 2 banana per monkey so for 10 monkeys there will be 20, as the rate 1/2X x= monkeys
Step-by-step explanation:
find the square root of 14+6√5
Answer:
3 + √5
Step-by-step explanation:
Find the square root of 14+6√5
Change to √ ( 14 + 6√5 ) = √x + √y
1️⃣ Square.
14 + 6√5 = x + y + 2√xy
14 + 2√45 = ( x + y) + 2√xy
2️⃣ Compare.
(x + y) = 14
xy = 45
3️⃣ Solve.
(x - y)² = (x+y)² - 4xy
( x - y)² = 14² - 180
( x - y)² = 196 - 180
( x - y)² = 16
( x - y) = 4
x + y = 14
x - y = 4
2x = 18
x = 9 .
y = 5 .
14 + 6√5 = √9 + √5 = 3 + √5 .
Answer: 3 + √5 .
Done ✔
A jar contains 666 red jelly beans, 666 green jelly beans, and 666 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be green and the second will be green as well?
Answer:
666/1998 x 665/1997 = 665/5991 or 0.110999833083
What is the measure of angle AEF
Answer:
B) 144°
Step-by-step explanation:
<AEC=108
<EDG= 180-108=72
<DEF=180-72=108
<AEF=360-108-108=144
What is the measure of arc PSR? *
75 degrees
260 degrees
65
100
Answer:
it most likely would be 260 degrees
Which graph represents the line that has a -intercept of 3 and goes through the point (2, 5) ?
Answer:
The second one
Step-by-step explanation:
Answer:
Is the third one,as you can see it goes thru the point (2,5)
Step-by-step explanation:
Someone help please I can’t seem to get this one and its my last one
Answer:
345 cm squared I believe
I'm not 100% sure