Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] (a + l), where
a is the first terml is the last termn is the number of the terms∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S[tex]_{n}[/tex] = 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 = [tex]\frac{n}{2}[/tex](26 + 150)
∴ 2,816 = [tex]\frac{n}{2}[/tex](176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
Solve for the final amount you need to pay. Chinese foos $120 for delivery. You want to pay 15% tip. How much money total money will you give the delivery boy? Show work.
Answer:
$150
Step-by-step explanation:
Given
Delivery amount = $120
Percent tip on the delivery amount = 15%
Tip amount = 15% * 120
Tip amount = 0.15 * 120 = $30
Total money paid = Delivery amount + Tip
Total money paid = $120 + $30
Total money paid = $150
hence the total money you will give the delivery boy is $150
People attending a football game either supported the home team or the visiting team. If 714 of the people attending supported the home team and 2686 supported the visiting team, what percentage supported the home team?
Answer:
21%
Step-by-step explanation:
First find the whole, the total number of attendees:
714 \text{ home} + 2686 \text{ visiting} = \color{orange}{3400} \text{ total attendees}
714 home+2686 visiting=3400 total attendees
Method 1: Set up a proportion
Set up an equation of the form:
\frac{\color{red}{\text{part}}}{\color{orange}{\text{whole}}}=
whole
part
=
\,\,\frac{\color{blue}{\text{percent}}}{100}
100
percent
Assign the variable xx to the unknown value:
\color{blue}{x}=
x=
\,\,\color{blue}{\text{percent}}
percent
The question asks what \textit{percent}percent of all the attendees is 714
Substitute the known values with the numbers given in the problem, and the unknown value with xx:
\frac{\color{red}{714}}{\color{orange}{3400}}=
3400
714
=
\,\,\frac{\color{blue}{x}}{100}
100
x
Solve for xx:
100\cdot\color{red}{714}=
100⋅714=
\,\,\color{orange}{3400}\cdot\color{blue}{x}
3400⋅x
Cross multiply
\frac{71400}{3400}=
3400
71400
=
\,\,\frac{3400x}{3400}
3400
3400x
Divide both sides by 100
\color{blue}{21\%}=
21%=
\,\,\color{blue}{x}
x
Simplify
Method 2: Find percent directly
\text{Find \(714\) out of \(3400\) as a decimal:}
Find 714 out of 3400 as a decimal:
\frac{\color{red}{714}}{\color{orange}{3400}}=
3400
714
=
\,\,0.21
0.21
\text{Convert decimal to percent:}
Convert decimal to percent:
0.21\times100=
0.21×100=
\,\,\color{blue}{21\%}
21%
−23(15x + 3) = −3x − 9
what is x?
Answer:
X= - 10/57
Step-by-step explanation:
Answer:
I am really not sure bout this answer so please let me know if I'm wrong thank you (◍•ᴗ•◍)
Step-by-step explanation:
6v-10=2v-26
6v-10+10=2v-26+10
6v=2v-16
6v-2v=-16
4v=-16
v=-16/4
v=-4
Given the sequence: 12,18,24,30,...
Fill in the boxes below to create the recursive formula.
__=___
___=___+___
Step-by-step explanation:
0+6=6
6+6=12
12+6=18
18+6=24
24+6=30
.....
any more help just ask :)
Here’s picture. What’s the value of x ?
help and ill give brainliest
Answer:
10
Step-by-step explanation:
The band gets 1/2 of the total amount of water. The total amount collected is twice as much as what the band gets. Multiply 5 by 2 to get 10
Brainliest Please
Happy Holidays
What is the recursive formula for this geometric sequence? -3, -21, -147, -1029, ...
Answer:
The terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. A recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 . The answer is a1 =-3 & a(n) =a(n-1) •y 7
Hope this helps, have a great day/night, and stay safe!
Answer:
Step-by-step explanation:
Ok so I I don’t feel like doing math work while I’m sick can someone else figure out the answer because if I don’t turn this in I get an F but I’m to sick to want to figure out the maze. Please help me
Answer:
down, right, bottom left(1), right, right, right, finish
Step-by-step explanation:
the angles of a triangle are described as follows: angle a is the largest angle; it measure is twice the measure of Angle b. The measure of Angle C is 10 more than one-third of angle B. Fins the measurements of the three angles in degrees.
(Angles in a triangle add up to 180 degrees.)
Answer:
Angle A = 102°
Angle B = 51°
Angle C = 27°
Step-by-step explanation:
angle A = 2b
angle B = b
angle C = 1/3 b + 10
Angle A + Angle B + Angle C = 180
2b + b + 1/3 b + 10 = 180
3 1/3 b + 10 = 180
10/3 b = 170
b = 51
a = 2b = 102
c = 1/3 b + 10 = 1/3 (51) + 10 = 17 + 10 = 27
equation
horizontal asymptote
vertical asymptote
Answer:
Hello,
In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.
So Horizontal asymptote = 2
For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is
y= 0
Rate positively and give brainlist
pls help with this asap
The perimeter of the triangle below is 97 cm.
What is the length of EF?
A. 18 cm
B. 23 cm
C. 30 cm
D. 32 cm
Answer:
The length of EF = x = 18 cm
Option A is correct.
Step-by-step explanation:
Ware given perimeter of triangle = 97 cm
We need to find length of EF = x = ?
The length of EG = x+7
The length of EF = x
The length of GF = 3x
The formula used is: [tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle[/tex]
Putting values and finding x i.e length of EF
[tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm[/tex]
So, value of x=18 cm
The length of EF = x = 18 cm
Option A is correct.
Prove that (Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A
Answer:
The answer is below
Step-by-step explanation:
We need to prove that:
(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.
Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.
Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A
[tex]\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA[/tex]
A ratio can be written in three different forms
what are the three forms?
A phone company offers to monthly plans. Plan a cost $23 plus an additional $.08 for each minute of calls. Plan B cost $19 an additional $.12 for each minute of calls.
Answer:
The indifference point is 100 minutes.
Step-by-step explanation:
Giving the following information:
Plan a cost $23 plus an additional $.08 for each minute of calls.
Plan B cost $19 an additional $.12 for each minute of calls.
First, we need to establish the total cost formula for each plan:
Plan A= 23 + 0.08*x
Plan B= 19 + 0.12*x
x= number of minutes
Now, to calculate the indifference point, we equal both formulas and isolate x:
23 + 0.08x = 19 + 0.12x
4 = 0.04x
100= x
The indifference point is 100 minutes.
Prove:
Plan A= 23 + 0.08*100= $31
Plan B= 19 + 0.12*100= $31
A classroom's population went from 25 to 46 in 15 years. What was the percent of change?
a
21%
b
84%
c
16%
d
80%
Solve x^0 someone help me please
Answer:
x = 1
Step-by-step explanation:
From 94 miles to 34 miles
Answer:
huh
Step-by-step explanation:
A term without a variable is called what?
Answer:
constants
are the term
Answer:
Constants
Step-by-step explanation:
I hope this is correct and have a great day
Is (T60.-6> 0 Ry_)(AABC)graphed correctly?
5
4
2
1
O A. yes
O B. no
Joey Chestnut is trying to break his own record for eating the most whole hot dogs in 10 minutes. He needs to eat more than 72 hot dogs to break his record. After 1 minute, Joey has eaten 11 1/4 hot dogs. Let ddd represent the number of hot dogs Joey eats per minute for the next 999 minutes. Which inequality represents the number of hot dogs per minute Joey could eat for the last 999 minutes to break his record?
Answer:
d > 6 3/4
Step-by-step explanation:
Given that:
72 hot dogs in 10 minutes is required to break Record ;
Consumption after 1 minute = 11 1/4 hot dogs
Number of hotdogs consumed per minute for the next 9 minutes = d
Number of consumption per minute required to break record :
d = (72 - 11 1/4) / 9
d = (60 3/4) ÷ 9
d = (243 / 4) * 1/9
d = 243 / 36
d = 6 3/4 hotdogs per minute
Hence, to break record. Consumption must be > 72 hotdogs in 10 minutes
Hence,
d > 6 3/4
a-17.9=32.4
i don't know the answer please help
Step-by-step explanation:
a-17.9=32.4
a=32.4+16.9
a=50.3
Find the remainder when 17523^8 is divided by 9^10.
Answer:
the answer is 2.549442707[tex]2^{24}[/tex]
The coordinates of the vertices of the preimage of a parallelogram are (1,5), (3,3), (3,7), and (5,5). The coordinates of the vertices of the image are (−5,3), (−3,1), (−3,5), and (−1,3).
How far and in what direction was the parallelogram translated? Write your answer using mapping notation and practice reading your answer aloud.
The actual image of the parallelogram has been translated by 6 units left and 2 units down of the preimage parallelogram.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
Given the preimage of a parallelogram with vertices (1,5), (3,3), (3,7), and (5,5).
If we plot in the coordinate plane as shown below.
Now plot the image of a parallelogram with vertices (−5,3), (−3,1), (−3,5), and (−1,3).
If we take only one vertex of the preimage to let's say (1,5) now if we look at the corresponding vertex in the image then it is (-5,3).
1 + x = -5 ⇒ x = -6 (6 units left)
5 + y = 3 ⇒ y = -2 (2 units down)
Hence "The actual image of the parallelogram has been translated by 6 units left and 2 units down of the preimage parallelogram".
To learn more about the transformation of graphs,
brainly.com/question/3099136
#SPJ2
(arb)4 = 81r24
where a and b are positive integers. Work out a and b.
Step-by-step explanation:
(arb)4 = 81r24
a4r4b = 81r24
a4 = 81
a = 4√81
a = 3
r4b = r24
4b = 24
b = 6
any more help just ask :)
A cyclist travels 5 miles in the direction N 30° E, then travels 3 miles in the direction N 70° E. Which equation
measures the cyclist's distance, x, from the starting point?
52 = x2 + 32 – 2(3)(x)cos(100°)
52 = x2 + 32 – 2(3)(x)cos(140°)
x2 = 52 + 32 – 2(5)(3)cos(100’)
x2 = 52 + 32 – 2(5)(3)cos(140°)
Answer:
D. x2 = 52 + 32 – 2(5)(3)cos(140°)
Step-by-step explanation:
The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°). Option B is corect.
What is the distance?Distance is a numerical representation of the distance between two objects or locations.
The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Distance is measured in the meter, centimeter, miles, nautical mile, feet, etc. The unit of distance is most important to find it.
The distance, x, from the starting point is;
From the cos law ;
x² = a² +b²-2ab cosΘ
From the digrame it is obtained that;
a =5
b =3
Θ = 180 ° +70° -30°
Θ = 180°- 40°
Θ = 140°
Substitute the values;
x² = a² +b²-2ab cosΘ
x²=5²+3²-2(5)(3)cos(140°)
The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°).
Hence option B is corect.
To learn more about the distance refer to the link;
https://brainly.com/question/26711747
#SPJ2
what is x+5x+2-4x=+2
Answer:
the solution is this:
x= -2
If the selling price for laptop is $1100 and is marked down by 30% in promotional offers, then sale price after discount is
I NEED HELP ASAP!!!
I will mark the correct answer the brainliest!!!
Part A: Linear Equation (=)
1. Name all the equations of the lines found on the coordinate plane.
Line A:
Line B:
Line C:
Line D:
Line E:
Line F:
Line G:
2. Draw the lines described below and answer the questions that follow.
H. Passes through the point (5, -11) and is perpendicular to the y-axis. What is the equation of the line?
I. Passes through the point (-1, -13) and the slope is zero. What is the equation of the line?
J. Passes through the point (0, -15) and is parallel to the x-axis. What is the equation of the line?
Part B: Linear Inequalities (<, <=, >, >=)
Colors must be outside the start.
1. Color the shaded region for the following inequalities:
Orange: y >= 2x + 9
Red: y >= x
Green: y >= -11
Blue: y >= -13
Green: y <= -13
2. Answer the questions below:
A. Write an inequality for line B if it is a dashed line and shaded below. Answer:
B. Write an inequality for line E if it is a solid line and shaded below. Answer:
C. Where will the shade be if the inequality is y >= 6? Answer:
D. What will be the line for y < 6? Answer:
-2+3x=-(x+6) solve for x
Answer:
x = -1
Step-by-step explanation:
-2+3x=-(x+6) distrbute the negative
-2+3x=-x-6 combine liked terms (added x & 2 to each side)
+2 +x +x +2
4x = -4 isolate x (divide 4 from each side)
x = -1
Answer:
X=-1
Step-by-step explanation:
First, add 2 on both sides to eliminate -2 and to get 3x alone. Now you have the product of 3x=-x-4. Next, add x on both sides to isolate negative 4. Once, you have done this you get 4x=-4. Now you divide by 4 to get x alone. And you get the product x= -1.
