The linear system is 6s+10a = 2380.
s represents student tickets and a represents adult tickets, and the total amount collected from the tickets is $2380.
What is the linear and non-linear system?Linear means something associated with a line. All the linear equations are used to construct a line. A non-linear equation is such that does no longer form a direct line. It looks as if a curve in a graph and has a variable slope price.
How do you realize a system is linear?If the connection between y and x is linear (instantly line) and crossing through starting place then the system is linear. If you locate any time t at which the system is not linear then the system is non-linear.
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Final answer:
To represent the ticket sales information as a linear system, we use two equations: a + s = 330 for the total number of tickets, and 10a + 6s = 2380 for the total revenue from ticket sales.
Explanation:
The question involves writing a linear system of equations based on the information provided about ticket sales for a school event. Given that 330 tickets were sold in total, comprising adult tickets (a) and student tickets (s), and that the total revenue from these tickets was $2380, with student tickets priced at $6 each and adult tickets at $10 each, we can represent this scenario with two equations.
The first equation represents the total number of tickets: a + s = 330.
The second equation represents the total revenue: 10a + 6s = 2380.
This linear system can be solved to find the values of a and s, which would give us the number of adult and student tickets sold, respectively.
What's 4.50+4.50+2.39+2.39+1.99? What's the answer minus 25?? pls halp meh '-'
Where is the x-intercept(s) in the graph of y = (x-1)(x+8)/(x+8)(x-6)?
Answer:
B: 1
Step-by-step explanation:
Edge 2021
A measurement is given as the length of an onion cell is 0.4mm to the nearest tenth of a millimeter. Find the minimum & maximum possible measurements
Are the following equations parallel, perpendicular, the same line, or none of these -4x = -5y + 30
5y = -4x + 30
Answer:
parallel
Step-by-step explanation:
He _______ tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
What is the product of 3x(x^2+4)
Answer:
[tex]3x^3+12x[/tex]
Step-by-step explanation:
[tex]3x(x^2+4) = 3x\cdot x^2 + 3x\cdot 4 = 3x^3+12x[/tex]
2x7+2 ?
What does x =
If the product of two numbers is positive then the two numbers must both be positive true or false
Please help!
This graph shows the amount of rain that falls in a given amount of time.
What is the slope of the line and what does it mean in this situation?
Select from the drop-down menus to correctly complete each statement
The slope of the line is ___
This means that ___ mm of rain falls every ___
To find the slope, we use the formula for slope,
[tex]m=\frac{y_{2}-y_{2}} {x_{2}-x_{1}}[/tex]
Letting the point (2,5) be [tex](x_{1},y_{1})[/tex] and the point (4,10) be [tex](x_{2},y_{2})[/tex].
Now plugging in these values in the formula for slope, we get,
[tex]m=\frac{10-5}{4-2} =\frac{5}{2}[/tex]. The slope is [tex]\frac{5}{2}[/tex].
This basically means 5 mm of rain falls in every 2 hours, or 2.5 mm of rain falls every hour ([tex]\frac{5}{2} =2.5[/tex])
ANSWER: Slope is [tex]\frac{5}{2}[/tex] and 5 mm of rain falls every 2 hours.
Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there were 12 cookies in each dozen, what was the cost per cookie?
$0.17
$0.83
$1.25
$0.50
What plane contains points D, G, and H?
a. The plane that passes at a slant through the figure.
b. The plane on the bottom of the figure.
c. The plane on the top of the figure.
d. The plane on the front of the figure.
What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west and then 2 blocks south?
The total displacement of the student is 2 block east.
We know that displacement refers to less distance that shows the difference between the starting & the final position.Based on this,
y = 2 -2 = 0
x = 3 - 1 = 2
So, we can conclude that the total displacement of the student is 2 block east.
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You randomly select 7 students from a class with 15 male and 20 female students. what is the probability that you will choose exactly 4 females?
To find the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution.
Explanation:To determine the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution. In this scenario, we have a population of 35 students (15 males + 20 females) and we want to select a sample of 7 students. The group of interest is the females, which consist of 20 students. Since we are selecting without replacement, we need to use the hypergeometric distribution formula:
P(X = k) = (C(K, k) * C(N-K, n-k)) / C(N, n)
where:
N = total population sizen = sample sizeK = number of successes in the populationk = number of successes in the samplePlugging in the values, we get:
P(X = 4) = (C(20, 4) * C(15, 7-4)) / C(35, 7)
Calculating the combinations, we find that P(X = 4) = 0.416
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A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (4072-01-01-03-00_files/i0260000.jpg), how long is the rectangle? a. 21 inches b. 340 inches c. 20 inches d. 15 inches
Answer:
The correct option is: a. 21 inches
Step-by-step explanation:
The area of the rectangle is 357 square inches and width is 17 inches.
Formula for the area of rectangle is: [tex]Area= Length\times Width[/tex]
Suppose, the length of the rectangle [tex]=x[/tex] inches.
So, the equation will be.....
[tex]357=x\times 17\\ \\ \frac{357}{17}=\frac{x\times 17}{17}\ [Dividing\ both\ sides\ by\ 17]\\ \\ 21=x[/tex]
So, the rectangle is 21 inches long.
Solve and justify each step
SHOW WORK
Solve: -4(n+5)>3n+8
find f(-5) if f(x) = ???????
f(x) = Ιx+1Ι
x = -5
Ι-5Ι = 5
so equation is 5+1
answer is 6
If the decay of 742 mg of an isotope is described by the function A(t)= 742e-0.03t, where t is time in years. Find the amount left after 84 years. Round your answer to the nearest mg.
Answer:
The amount left after 84 years is 59.70 mg.
Step-by-step explanation:
Given : If the decay of 742 mg of an isotope is described by the function [tex]A(t)= 742e^{-0.03t}[/tex], where t is time in years.
To find : The amount left after 84 years?
Solution :
The function of decay of 742 mg of an isotope is given by,
[tex]A(t)= 742e^{-0.03t}[/tex]
We have to find the amount left after 84 years.
i.e. put t=84 in the given function,
[tex]A(84)= 742e^{-0.03\times 84}[/tex]
[tex]A(84)= 742e^{-2.52}[/tex]
[tex]A(84)= 59.701[/tex]
Therefore, The amount left after 84 years is 59.70 mg.
A rental car service charges $25 to rent a car, plus $2 per mile. If x represents the number of miles driven, then the expression for the total cost to rent the car is 2x + 25. Which table shows the total cost to rent a car?
Write an equation of the line in slope-intercept form of the line that passes through the point (-5, 1) and is parallel to the line x – 5y = 8. show your work.
Lyle shot three times as many baskets as cliff, while kyle shot 12 more baskets than cliff. if lyle and kyle shot the same number of baskets, how many baskets did each of them shoot?
Cliff shot 6 baskets, Lyle shot 18 baskets, and Kyle also shot 18 baskets.
Explanation:Let's represent the number of baskets Cliff shot as C.
Lyle shot three times as many baskets as Cliff, so Lyle shot 3C baskets.
Kyle shot 12 more baskets than Cliff, so Kyle shot C + 12 baskets.
Since Lyle and Kyle shot the same number of baskets, we can set their expressions equal to each other: 3C = C + 12.
Solving this equation, we find that C = 6.
Therefore, Cliff shot 6 baskets, Lyle shot 3C = 3(6) = 18 baskets, and Kyle shot C + 12 = 6 + 12 = 18 baskets.
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WILL MARK BRAINLIEST ANSWER THIS QUESTION K
Simplify:
(3-4i)(1+5i)-(2-i)
Show all of your work please
Jeffrey is planning to tile his bathroom. He is taking measurements before he goes to the hardware store to buy the tile. What is the best unit of measure for Jeffrey to use?
Answer:
i think the answer would be square feet
Step-by-step explanation:
A regular 40-sided polygon is rotated with its center of rotation at its center. What is the smallest degree of rotation needed to map the polygon back on to itself?
Answer:
9 degrees
Step-by-step explanation:
i dont know what the other guy is talking about, its 360/40=9
How much is 1200 pounds of corn plus 25% more?
Compare the two ratios by entering >, < , or = in the box. 18 320
Answer:
1/8 is greated than 3/20
Step-by-step explanation:i took test
Which of the following lines goes downwards from left to right?
A. Y=2x+5 b. Y=2x-6
C. Y=2x d. Y=-2x+20
HELP
IMPORTANT 20 POINTS
volume of tub = 20 *10*10 = 2000cm^3
2000*1/16 = 2000/16 = 125 cubic cm of ice scream left
volume of sphere = 4/3*3.14*3^2 = 37.68 / 2 = 18.84
volume of cone = 18.84
18.84 = 1/3 *3.14*r^2*h
18.84 = 9.42*h
h = 18.84 / 9.42 = 2.00 inches tall
Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating.