Seth earns $25 a day and $3 for each ticket he sells at the local theatre. Write and solve annequality that can be used to find how many tickets he must sell in a day to earn at least $115Write an inequality. *
Answers
Let x represent the number of tickets that he sold at the local theatre.
From the information given, Seth earns $25 a day and $3 for each ticket he sells at the local theatre. The expression representing the amount earned from selling x tickets in a day is
25 + 3x.
To earn at least $115, it means that the amount he would earn is greater than or equal to $115. the symbol for 'greater than or equal to' is '≥'
Therefore, the inequality representing this scenario is
25 + 3x ≥ 115
To solve the inequality, we would subtract 25 from both sides of the inequality. We have
25 - 25 + 3x ≥ 115 - 25
3x ≥ 90
Dividing both sides of the inequality by 3, we have
3x/3 ≥ 90/3
x ≥ 30
He must sell at least 30 tickets to earn at least $115
Related Questions
please help em im so stuck
Answers
A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
The volume of a triangular prism is given as,
V = 1/2 x base x height x length
The height of the rectangular prism is 2.5 cm
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The volume of a triangular prism is given as,
V = 1/2 x base x height x length
Now,
From the given figure we see that,
base = 4 cm
Length = 7 cm
Volume = 35 cm³
Now,
35 = 1/2 x 4 x height x 7
35 = 2 x height x 7
height = 35 / 14
height = 5/2
height = 2.5 cm
Thus,
The height of the rectangular prism is 2.5 cm
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5 (-x-1)=x+21 - 6xn what is the solution to the following equation
Answers
5(-x-1) = x+21 - 6xn
-5x - 5 = x + 21 - 6xn
Next, we can gather all the x terms on one side and all the constant terms on the other side:
-5x - x + 6xn = 21 + 5
-6x + 6xn = 26
Factor out x on the left side:
x(-6 + 6n) = 26
Then divide both sides by (-6 + 6n):
x = 26 / (-6 + 6n)
This is the solution to the equation. However, we need to consider one special case: if (-6 + 6n) equals zero, then the denominator is zero, which makes the solution undefined. Therefore, the solution is valid only if (-6 + 6n) is not equal to zero.
In summary, the solution to the equation 5(-x-1) = x+21 - 6xn is x = 26 / (-6 + 6n), where n is any number except n = 1.
Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
Answers
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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Use technology or a z-score table to answer the question.
The weights of boxes of rice produced at a factory are normally distributed with a mean of 34 ounces and a standard deviation of 1.3 ounces. Consider a shipment of 2100 boxes of rice.
Approximately how many of the boxes will weigh 37 ounces or less?
Answers
Using the normal distribution with a mean of 34 ounces and a standard deviation of 1.3 ounces, we can find the z-score for 37 ounces:
z = (37 - 34) / 1.3 = 2.31
Using a standard normal distribution table or a calculator with normalcdf function, we can find the probability of a box weighing 37 ounces or less:
P(X ≤ 37) = P(Z ≤ 2.31) ≈ 0.9893
So approximately 0.9893 or 98.93% of the 2100 boxes will weigh 37 ounces or less.
Therefore, the number of boxes that weigh 37 ounces or less is:
2100 x 0.9893 ≈ 2077 boxes
(If this doesn’t seem right to you make sure you comment!)
Expand and simplify 5(2x-1) -2(3x+2) First person to answer gets brainliest !!
Answers
Simplified: 4x-9
Answer:
\( \boxed{ \mathsf{ \bold{ \purple{ 4x - 9}}}}\)Step-by-step explanation:
\( \mathsf{5(2x - 1) - 2(3x + 2)}\)
Distribute 5 through the parentheses
\( \mathsf{10x - 5 - 2(3x + 2)}\)
Distribute 2 through the parentheses
\( \mathsf{10x - 5 - 6x - 4}\)
Collect like terms
\( \mathsf{4x - 5 - 4}\)
Calculate
\( \mathsf{4x - 9}\)
Hope I helped!
Best regards!
Distance=Speedx Time
Speed=Distance/Time
Time = Distance/Speed
1)D=200 km
S=80 km/hr
T=?
2)D=?
S=20km/hr
T=3.5 hr
3)D=150 km
S=60 km/hr
T=?
4)D=?
S=80 km/hr
T=1 1/4
5)D=240 km
S=?
T=2.5 hr
paki answer po :)
Answers
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6c + 7c +7c + 8c + 9c nesesito de su ayuda plis
Answers
Answer:
37c
Step-by-step explanation:
6c+(7c+7c)+8c+9c
6c+14c+(8c+9c)
6c+(14c+17c)
6c+31c
37c
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries 12 dollars, 12 dollars, 12 dollars, 12 dollars, Total 48 dollars.
Which of the following scenarios could be accurately modeled using this diagram?A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries 12 dollars, 12 dollars, 12 dollars, 12 dollars, Total 48 dollars.
Which of the following scenarios could be accurately modeled using this diagram?
Answers
The scenario that could be accurately modeled using this diagram is B. Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
How to depict the information?Here is the remainder of the question:
Which of the following scenarios could be accurately modeled using this diagram?
Juan Victor gave a gratuity of $25 on a bill that was $48.
Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
Juan Victor gave a gratuity of $12 on a bill that was $100.
Juan Victor gave a 12% gratuity on a bill that was $25.
A conceptual model is a representation of a system to help people understand a subject the model represents.
In this case, the scenario that could be accurately modeled using this diagram is that Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
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forty teams play a tournament in which every team plays every other team exactly once. no ties occur, and each team has a 50% chance of winning any game it plays. the probability that no two teams win the same number of games is m/n, where m and n are relatively prime positive integers. find log2n
Answers
The probability that no two teams win the same number of games is 742.
There are (40/2) = 780 total pairings of teams, and thus 2⁷⁸⁰ possible outcomes. In order for no two teams to win the same number of games, they must each win a different number of games. Since the minimum and maximum possible number of games won are 0 and 39 respectively, and there are 40 teams in total, each team corresponds uniquely with some k, with 0 ≤ k ≤ 39, where k represents the number of games the team won. With this in mind, we see that there are a total of 40! outcomes in which no two teams win the same number of games. Further, note that these are all the valid combinations, as the team with 1 win must beat the team with 0 wins, the team with 2 wins must beat the teams with 1 and 0 wins, and so on; thus, this uniquely defines a combination.The desired probability is thus 40!/2⁷⁸⁰ . We wish to simplify this into the form m/n , where m and n are relatively prime. The only necessary step is to factor out all the powers of 2 from 40!, the remaining number is clearly relatively prime to all powers of 2.The number of powers of 2 in 40! is
= (40/2) + (40/4) + (40/8) + (40/16) + (40/32)
= 20 + 10 + 5 + 2 + 1
= 38.
780-38 = 742.
Hence, the probability that no two teams win the same number of games is 742.
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Can somebody help!!! who is good at drawing graphs draw a graph with the following data:
Time: 1,2,3,4,5,6,7,8,9,10
Distance: 4,7,12,15,21,24,27,24,24,40
WILL MARK BRAINLIEST WHOEVER CAN SHOW THIS ON A PEICE OF PAPER OR ANYTHING!!! HELP!
Answers
The graph of the data has been plotted and attached below.
What is a graph?
A diagram or pictorial representation of facts or values that is ordered might be referred to as a graph in mathematics. The relationship between two or more items is commonly depicted by graph points.
In the question, we are given the data relating to the distance covered in the specific time duration.
Using this data, a graph has been obtained which has been attached below.
On the x - axis, time is shown and on the y - axis, distance has been shown.
Hence, the graph of the data has been plotted.
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Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0
C)-4
D)
4
Answers
Answer:
4 < x < 12
Took the test
What is the integrated rate law for a 1st order reaction?
Answers
Expiation: the half-life of a first-order reaction is independent of concentration, and this equation has the form y=mx + b so a plot of the natural log of [A] as a function of time yields a straight line
Source: khanacadamey.org
Hope this helps!
Declaring variables - Declare two integer variables x and y, - Assign them any values. - Print addition/subtraction/multiplication and division of these two variables on to the screen
Submission Task (- Grade 1%) Follow the same steps asin Exercise 2, but change the step 2 to ask the user for input forthese values by using Scanner class.
Answers
Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:
import java.util.Scanner;
public class VariableOperations {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
System.out.print("Enter the value for x: ");
int x = scanner.nextInt();
System.out.print("Enter the value for y: ");
int y = scanner.nextInt();
// Addition
int addition = x + y;
System.out.println("Addition: " + addition);
// Subtraction
int subtraction = x - y;
System.out.println("Subtraction: " + subtraction);
// Multiplication
int multiplication = x * y;
System.out.println("Multiplication: " + multiplication);
// Division
if (y != 0) {
double division = (double) x / y;
System.out.println("Division: " + division);
} else {
System.out.println("Cannot divide by zero.");
}
}
}
This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.
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There are 18 boys and 12 girls in a math class . What is the ratio of girls to total students
Answers
12:30
Answer:
The ratio of girls to total students is 12:30, which can be simplified to 2:5.
Step-by-step explanation:
You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.
91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse
Answers
OLAP is used for the analysis of accumulated data, and it requires a data warehouse.
while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.
In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.
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.
In a certain population, body weights are normally distributed with a mean of 152 poundsand a standard deviation of 26 pounds. How many people must be surveyed if we want toestimate the percentage who weigh more than 180 pounds
Answers
88 people must be surveyed according to the confidence interval.
According to the statement
we have given that the mean of 152 pounds and a standard deviation of 26 pounds. And we have to find the percentage who weigh more than 180 pounds
So, For this purpose, we know that the
The given variables are which are given in the statement are:
μ = the sample mean = 152 pounds
σ = the standard deviation = 26 pounds
x = the sample value we want to test = 180 pounds
n = the sample size = unknown
MOE = margin of error = 4% = 0.04
Confidence level = 96%
Then
Firstly we find the value of the Z is :
z = (x – μ) / σ
z = (180 – 152) / 26
z = 1.0769 = 1.08
Since we are looking for the people who weigh more than 180 pounds, therefore this is a right tailed z test.
Now, The p value is:
p = 0.1401
Then we can use the formula below to solve for n:
n = z^2 * p * (1 – p) / (MOE)^2
n = 1.08^2 * 0.1401 * (1 – 0.1401) / (0.04)^2
n = 87.82 = 88
Therefore around 88 people must be surveyed.
So, 88 people must be surveyed according to the confidence interval.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
In a certain population, body weights are normally distributed with a mean of 152 pounds 30) and a standard deviation of 26 pounds. how many people must be surveyed if we want to estimate the percentage who weigh more than 180 pounds? assume that we want 96% confidence that the error is no more than 4 percentage points.
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In January, the Carlton family purchased a condominium for $100,000. By the end of the year, the condo was worth 10% more than at the beginning of the year.
If the same rate of increase in value continues for a second year, what would be the value of the condo at the end of the second year?
Answers
Answer: $120,000
Step-by-step explanation:
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
1,6, -7
2,12,-14
-7,1
-1,7
Answers
The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.
What is a quadratic equation?Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.
In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.
So, the roots of 0 = 2x² + 12x-14 are:
2x² + 12x-14 = 0
2x² + 14x - 2x -14
2x(x + 7) - 2(x + 7)
(2x - 2) (x + 7)
Now, use the zero product property as follows:
2x - 2 = 0
2x = 2
x = 2/2
x = 1
And
x + 7 = 0
x = -7
Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.
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Correct question:
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
a. 1,6, -7
b. 2,12,-14
c. -7,1
d. -1,7
Find the measure of angle A.
66°
x +49
x+83
Answers
Step-by-step explanation:
Since , internal sum of angle of triangle is 180°
So,
66 + x +49 + x+83 = 180
or, 198 + 2x = 180
or, 2x = 180 -198
or, 2x = -18
hence, x = - 9
Now angle A = x + 49
= (-9) + 49
= 40
Hence measure of angle A is 40°.
Answer:
40
Step-by-step explanation:
From triangle law ,
66 + x +49 + x+83 = 180
or, 198 + 2x = 180
or, 2x = 180 -198
or, 2x = -18
hence, x = - 9
Now angle A = x + 49
= (-9) + 49
= 40
Hence, answer is 40.
find the 30th term 152, 149, 146
Answers
Answer:
65
Step-by-step explanation:
delta math said it lol
Can someone help me please
Answers
Answer: it should be x
Step by step explanation: the x table changes at a rate of 6 when the y table changes at a rate of 4
Two angles of a triangle have measures of 30 and 55. Find the
measure of the third angle.
Answers
Answer:
95
Step-by-step explanation:
∠3 + 30° + 55° = 180° (angle sum property of a triangle)
∠3 + 85° = 180°
∠3 = 180° - 85°
∠3 = 95°
therefore, the measure of the third angle is 95°
hope you understood
in+the+united+states,+nearly+all+18-+to+29-years+olds+(89%)+agreed+with+the+statement+__________.
Answers
As a holiday gift, coach tells bryan that he will be running laps. if he runs 1 1/3 miles in 1/10 hour when doing laps for basketball, what is his rate of speed in miles per hour
Answers
Answer:
13 1/3 mph
Step-by-step explanation:
If running 1 1/3 miles takes him 1/10 hour, 1 1/3 * 10 will be his mph
just do a d and g .....
Answers
Step-by-step explanation:
d ) 1/11
→ 0.090
g) 1/22
→ 0.045
hope this answer helps you dear!
Answer:
a) 1/9 = 0.111
d) 1/11 = 0.090
g) 1/22 = 0.045
Help!!! Can y’all help me
Answers
Answer:
7.5
Step-by-step explanation:
Paint comes in 5 liter cans. The principal needs 43 liters of paint to repaint the school. How many cans must he buy?
Answers
Answer:
he needs 9 cans
Step-by-step explanation:
first,
43L/5L
= 8.6 cans
8.6 cans is not logical therefore u need to round up to 9 cans
Solve the equation (x − 1)² - 4 = 44 for X. Show your work.
Answers
Answer:
x = 1 ± 4\(\sqrt{3}\)
Step-by-step explanation:
(x − 1)² - 4 = 44
(x - 1)² = (x - 1) (x - 1) = x² - x - x + 1 = x² - 2x + 1
x² - 2x + 1 - 4 = 44
x² - 2x - 3 = 44
x² - 2x - 47 = 0
Use the quadratic formula to find the solutions.
\(\frac{-b± \sqrt{b^{2}-4(ac) } }{2a}\)
We get the answer
x = 1 ± 4\(\sqrt{3}\)
So, the answer is x = 1 ± 4\(\sqrt{3}\)
If 15 units represent 90 kilograms what is the value of 6 units
Answers
Answer:
36 kg
Step-by-step explanation:
Make a conversion factor. If 15 units = 90 kg, then 90 kg/15 units = 6kg/unit.
(6kg/unit)*(6 units) = 36 kg
ratings of male dates by the female dates. The summary statistics are n=199, x=5.57, s=1.87. use a 0.10 significance level to test the claim that the population mean of such ratings is less than 6.0
Answers
Using a significance level of 0.10, the test suggests that there is insufficient evidence to support the claim that the population mean of ratings is less than 6.0.
Based on the given data, we conducted a one-sample t-test to examine whether the population mean of ratings given by female dates to male dates is less than 6.0. The null hypothesis (H₀) assumes that the population mean is 6.0 or greater, while the alternative hypothesis (H₁) assumes the population mean is less than 6.0. With a significance level of 0.10, we calculated the t-value using the formula t = (x – μ) / (s / √n), where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.
Comparing the calculated t-value to the critical t-value for the given significance level and degrees of freedom (n-1), we found that the calculated t-value does not fall within the critical region. Therefore, we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the population mean of ratings is less than 6.0.
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