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.
f(x) = -22 + x + 14
Find f(2)
Answer:
sln
f(x) =-22+x+14 put 2 in x
f(2)=-22+2+14
f(2) =38
Find the surface area of the following prism:
6 m
6 m
10 m
7.2 m
4.8 m
Answer:
172.8m³
Step-by-step explanation:
1/2(7.2)(4.8)(10)=172.8m³
What is the final value?
Initial value: 170
Increase: 8%
Answer:
183.6
Step-by-step explanation:
170, percentage increased by 8% (percent) of its value = 183.6
Answer:
183.6
Step-by-step explanation:
170 divided by 100 = 1.7 multiplied by 8 = 13.6 + 170 = 183.6
At a scrapbooking party, guests brought a certain number of photographs to use, based on
how many pages they will be assembling. Ellie plans to assemble 4 small pages and 7 large
pages and brought a total of 22 photographs to use. Bridgette brought 30 photographs,
which is enough to assemble 8 small pages and 7 large pages. Assuming that the number of
photographs on a page remains constant, how many photographs fit on a small page and a
large page?
A small page can fit
photographs, and a large one can fit
photographs.
Answer:
A small page can fit 2 photographs, and a large on can fit 2 photographs.
Step-by-step explanation:
Let the number of photographs on the small page be represented by m and that of large one by n.
Since the number of photographs on a page remains constant, then;
4m + 7n = 22 ........... 1
8m + 7n = 30 .......... 2
Multiply equation 1 by 2, and 2 by 1 to have;
8m + 14n = 44 ....... 3
8m + 7n = 30 ......... 4
subtract equation 4 from 3,
7n = 14
n = 2
Substitute the value of n in equation 1
4m + 7(2) = 22
4m + 14 = 22
4m = 8
m = 2
m = 2, n = 2
Therefore, a small page can fit 2 photographs, and a large on can fit 2 photographs so that the number of photographs n a page is constant.
carolette is making necklace's in blue and orange her ratio of blue beads to orange beads are 3 to 2 how many beads will carolette need for a necklace of 60 beads
Answer:
Carlotta needs 24 orange beads for her necklace.
Step-by-step explanation:
For each necklace, the ratio of blue beads to orange beads is 3 to 2. or 3:2
Total beads given to make a necklace is = 60
Let the number of orange beads be = x
The ratio is 2 orange beads out of 5 total beads
So, we can represent the ratio as:
x=24
Hence, Carlotta needs 24 orange beads for her necklace.
Blue beads needed =
We can also check the ratio for blue beads to orange beads:
Divide by 4, we get
Divide by 3, we get
...... (the given ratio)
Therefore, Carlotta needs 24 orange beads for her necklace
For which Inequality would x= 4.5 not be a solution?
12-28
O8x+5>0
9x-5 <80
Ox+62 10
Answer:
12-28
Step-by-step explanation:
What type of angles are ∠4 and ∠6?
I’ll mark brainiest
Answer:
angle 4 and angle 6 are ALTERNATE INTERIOR angles
Answer:
alternate interior
Step-by-step explanation:
hope it helps ;)
I need help on this problem if it's possible can you walk me through how to do it?
Answer:
Just subtract the area of two triangles from the area of the rectangle
Step-by-step explanation:
Answer:
149 ft^2
Step-by-step explanation:
First, figure out the whole square area.
Which is 9 1/4 x 20 = 185
One triangle is 6 x 6 x .5 because the formula of a triangle is A=bh1/2.
Triangle=18
There are two triangles so its 36.
185-36 = 149
Is this helpful? Tell me if you need me to further explain.
If the slope between the points (-5,7) and (4,x) is 1, then
what is the value of x?
9514 1404 393
Answer:
16
Step-by-step explanation:
The equation of a line with slope m=1 through the point (h, k) = (-5, 7) will be ...
y -k = m(x -h)
y -7 = x +5
y = x +12
Then for x = 4, the value of y is ...
y = 4 +12 = 16
The point is (4, x) = (4, 16), so x = 16.
Answer:
16
Step-by-step explanation:
Given that the slope of the line is 1 . And it passes through the points (-5,7) and (4,x) .We know that slope is difference of ordinate by difference of abssica . So that ,
[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies 1 =\dfrac{ 7-x}{-5-4} \\\\\implies 1 \times -9 = 7-x \\\\\implies -9 -7 = -x \\\\\implies \underline{\underline{ x = 16 }}[/tex]
Hence the required answer is 16 .
ng 20-21
POSSIBLE POINTS: 10
In the school store, you can buy 20 calculators for $120. You want to buy 5 calculators. The table below represents the cost of different numbers of
calculators. Complete the table and explain the mathematical process you used to determine the cost of 5 calculators.
you would spend $30
Step-by-step explanation:
if 20 calculator cost 120 then you would divide 20 by 120 which would give you 6 dollars per calculator then you would multiply that by 5 which would give you a $30 for five calculators.
Answer:
where is the table?
I am just telling you how to get the cost of 5 calculators...
Step-by-step explanation:
Cost of 20 cal.=$120
Cost of 1 cal.=120/20
So,
cost of 5 calculators=
120/20*5
=$30
Hope it helps you
How many zeros does the equation x^5 – 11^4+ 7 have?
Answer:
5
Step-by-step explanation:
No. of Zeroes or Roots is equal to the degree of polynomial. Here, the degree of polynomial of the equation is 5. Hence, 5 Zeroes are possible.
What is the solution of log2x + 6 8 = 3?
Answer:
x=-3
Step-by-step explanation:
log(2x + 6) +8 = 3
Solve this log equation for x
First subtract 8 from both sides
log(2x+6)= -5
Now we convert it into exponential form
If log(x) = a then 10^a = x
log(2x+6)= -5 becomes
subtract 6 from both sides
Now we divide by 2 on both sides
x= -3 approximately
Write each of the following percents in words. a. 5% b. 34% c. 143% d. 500%
Answer:
5%=Five percent
34%=Thirty four percent
143%=One hundred forty three percent
500%=Five hundred percent
Hope it helps
Have a great day : )
Mark me brainiest if it had helped youHere is some record-keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. How many paper cups are left at the end of the day on Wednesday?
Answer:
1748
Step-by-step explanation:
Tuesday + Wednesday - Monday
PLZZZ HELP ME I DON'T GET THIS
Claim: Is Juan correct ??
Evidence : Show you work
This is geometryyyy(similarity)
Can you help me plz
3n + 2 + 5 = 4
NEED ASAP
Step-by-step explanation:
given
3n + 2 + 5 = 4
3n + 7 = 4
3n = 4 - 7
3n = - 3
n = - 3 / 3
n = -1
Hope it will help :)❤
Seven times the difference of a number and 7
Answer:
7 (x-7) or 7x-49
The relationship is “hours multiplied by
equals the number of dogs.”
Answer:
3
Step-by-step explanation:
Answer:
The relationship is “hours multiplied by
3
equals the number of dogs.”
Step-by-step explanation:
Please help I think it’s 4.0cm2 I’m i right?
Answer:
yes u are right give me brainlest plzzzzzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
Every square is a rhombus.
True
False
Answer:
false
a rhombus only has 4 equilateral sides and a square has 4 equilateral sides and all interior angles are right angles therefore that question is false
Twenty-five less than the product of three and ten and five tenths.
Answer:
On the left side is "13", that is the whole number part. There are two digits on the right side, the 7 is in the "tenths" position, and the 6 is the "hundredths" position. So, 13.76 is "13 and 7 tenths and 6 hundredths".
Step-by-step explanation:
Answer:
3 x 10 x .5 - 25
Step-by-step explanation:
Is your expression
al comprar una estufa de 5579 le cobran 9%de su costo extra para llevarlo a domicilio cuanto se pagará en total si la estufa será llevada
Answer:
6081.11
Step-by-step explanation:
Para resolverlo debes usar la regla de 3 simples:
La estufa cuesta $5,579 y te cobrarán el 9% para llevarlo a domicilio para eso realizarás esta operación
5579 = 100%
X = 9%
Ahora debes multiplicar 5579 x 9 = 50211
Ahora debes dividirlo entre 100 50211 ÷ 100 = 502.11 entonces el 9% es $502.11
Para terminar debes sumar el precio de la estufa y lo que cuesta llevarlo a domicilio 5579 + 502.11 = 6081.11
En total pagará $6081.11
What is the value of x in the following triangle?
Answer:
x=-10/3
Step-by-step explanation:
Answer: x = 17
Step-by-step explanation:
Triangle angle sum theorem states the three interior angles of a triangle sum to 180 degrees. Add all of the angles together and set equal to 180 to solve for x.
(3x)+(6x+10)+x= 180. Combine like terms.
10x + 10= 180. Subtract 10 from both sides.
10x = 170. Divide both sides by 10.
X = 17
Simplify 3(r+5)-4r help me pls NOW
Answer:
-r + 15
Step-by-step explanation:
3r + 15 - 4r =
-r + 15
Hope that helps!
State a cubic or quartic function with the least degree possible in intercept form for the given graph. Assume that all x-intercepts are integers, and that the constant factor a is either 1 or −1.
Enter the correct value in the box to answer the question.
y= ?
Answer:
y = [tex]-x^{3} - 2x^{2} + 5x + 6[/tex]
Step-by-step explanation:
The function will be cubic. The x-intercepts are -4, -1, and 2
The constant factor is -1 because the graph falls on the right. So,
y = -(x + 4)(x + 1)(x - 2)
y = -[tex]x^{3} -2x^{2} + 5x +6[/tex]
Enter the product as a mixed number
9514 1404 393
Answer:
10 1/5
Step-by-step explanation:
3 × 3 2/5 = 3(3) +3(2/5) = 9 +6/5 = 9 + 1 1/5
= 10 1/5
Find the amount of time. I = $54, P = $800, r= 4.5% The amount of time is years.
Answer:
1.5 years
Step-by-step explanation:
I = prt
54 = 800(.045)t
54 = 36t
t = 54/36
t = 1.55
Answer:
The amount of time is 1.5 years
1 1/18 + 3 1/18 + 1 2/9 + 1 2/9
Answer:
6.55555555556
Step-by-step explanation:
Answer:
6 10/18 i think
Simplified is 6 5/9
improper fraction is 118/18
Step-by-step explanation:
What is the distance of -a and a?
Step-by-step explanation:
Distance = positive value
a + a = 2a
Answer:
I think its 0
Step-by-step explanation:
becuase if you add the same number but on is negative and the other is positve it is always a 0.
Example:
10 + (-10) = 0