Nora is training for a marathon. She can run at a constant rate of 4 miles in 28 minutes.

Q: 8. Each month a beauty salon gives x manicures that cost $12.00 each. The cost to the owner of the…

A: Selling price of each manicure is $12. Cost price of each manicure is $7.35. Monthly fixed cost to…

Q: Student class size at a school is limited to 20 students per class. Write an equation that will tell…

A: First form the equation with arbitrary constant k than put the given values to complete the…

Q: A patient receives regular doses of 500 ml every 6 hours. After 6 hours 60 percent of the dose…

A: a) We have to find L , where L is the amount of medication levels off to. To find L, we have to use…

Q: Furniture Land is a company that produces tables at a fixed cost of $21,000 per month. The cost of…

A: Please check step 2 for the solution.

Q: Find the number of units that produces a maximum revenue. The revenue R is measured in dollars and x…

A: Given:R=80x-0.0005x2

Q: The landscaper pours 175 gallons of herbicide in a pond. The herbicide degrades 15% each week.…

A: The landscaper pours 175 gallons of herbicide in a pond. The herbicide degrades 15% each week.   a.…

Q: A sunflower in Julia Rosario's garden was 12 centimeters tall when it was first planted. Since then,…

A:

Q: Kara's Custom Tees experienced fixed costs of $400 and variable costs of $4 a shirt. Write an…

A:

Q: An athlete is planning to run a certain distance in three days. • The first day, he is planning to…

A:

Q: Emily's company gives her a 5% raise every year. Trey's company gives him a raise of $2900 every…

A:

Q: The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and…

A: The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and…

Q: Demand for an electric fan is related to its selling price p (in dollars) by the equation…

A: Demand for an electric fan is related to its selling price p (in dollars) by the equation,…

Q: 9. This February and March, the middle school students had their most successful food drive, topping…

A: The students started day 0 of their food drive with 8 cans of fruit juice. Contributions poured in…

Q: An airplane is flying at a steady elevation of 14,500 feet.   The airplane will need to ascend to…

A: Given, An airplane is flying at a steady elevation of 14,500 feet. The airplane will need to ascend…

Q: The landscaper pours 200 gallons of herbicide in a pond. The herbicide degrades 10% each week write…

A:

Q: You are to create an open box from a single piece of cardboard.  The cardboard is 10 inches by 12…

A: Length of cardboard is L = 12 inches  Width of cardboard = W = 10 inches    If we cut the equal…

Q: Kara's Custom Tees experienced fixed costs of $200 and variable costs of $3 a shirt. Write an…

A: Fixed cost = $200 Variable cost = $3

Q: Kara's Custom Tees experienced fixed costs of $200 and variable costs of $5 a shirt. Write an…

A: Given, fixed cost=$200 variable cost =$5 a shirt

Q: Kara's Custom Tees experienced fixed costs of $300 and variable costs of $5 a shirt. Write an…

A: Fixed cost is, Cf = $300 Variable cost is Cv = $5 To evaluate: The equation that determine the total…

Q: The monthly cost of a wireless telephone plan is $29.99 for up to 450 min of calling time plus $0.45…

A:

Q: The owner of an apartment building can rent all 40 apartments if she charges $600 per month, but she…

A: You have asked a question with more than three sub parts. I will address the first three sub parts.…

Q: Max bought a new speed boat that cost of $33,000. The boat depreciates approximately 18% of its…

A:

Q: Kara's Custom Tees experienced fixed costs of $200 and variable costs of $5 a shirt Write an…

A: Given : Fixed cost = 200 Variable cost per shirt = 5

Q: Suppose you have entered a 78​-mile biathlon that consists of a run and a bicycle race. During your​…

A: Let the time of run be x and the time of bicycle race be y.The average velocity of running and…

Q: Drey makes $10.00 an hour plus $15.00 an hour for every hour of overtime. Overtime hours are any…

A: GIVEN (1)The amount of wages earned =S  (2)Working  hours=y

Q: At the end of an advertising campaign, weekly sales declined according to the equation y =…

A:

Q: Kara's Custom Tees experienced fixed costs of $300 and variable costs of $5 a shirt, Write an…

A: Given : fixed cost = 300 Variable cost per shirt = 5

Q: A company's revenue from selling å units of an item is given as R. = 1500x – x². If sales are…

A:

Q: A patient receives regular doses of 500 ml every 3 hours. After 3 hours 60 percent of the dose…

A: Given data is : a=500 mlp=60%=0.60

Q: The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and…

A: To find:- The phone company Ringular has a monthly cellular plan where a customer pays a flat…

Q: The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and…

A:

Q: 3. An amusement park charges $8 admission price (P) and averages 2000 tickets (T) sold per day. A…

A:

Q: Advertising and Sales The monthly sales volumey (in thousands of dollars) is related to…

A: Consider the given function. y=400xx+20 We have to find how much money on advertising will result in…

Q: You want to celebrate all of your recent successes.  You decide to reward yourself and a special…

A: Total cost = Fixed cost + variable cost per day x Number of days

Q: The width of a land is twice its length. A land is measured in terms of square meters. How much will…

A: A rectangle is a parallelogram whose opposite sides are equal and each angle is 90° The area of…

Q: Kara's Custom Tees experienced fixed costs of $500 and variable costs of $5 a shirt. Write an…

A:

Q: A house appreciates in value at 4.6 % per year a- determine an equation that can be used to model…

A: Given: A house appreciates in value at 4.6 % per year.

Q: Internet use An equation that models the number of users of the Internet is y = 11.786x² – 142.214x…

A: Given data: An equation that models the number of users of the internet is given by…

Q: The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and…

A:

Q: ball is thrown downward from the top of a 200-foot building with an initial velocity of 24 feet per…

A:

Q: Trevor and Isaiah are running in the park on the same day. The rate at which Trevor runs is modeled…

A: The rate at which Trevor runs is modeled by the equation y=x2-7x-1 and the rate at which Isaiah runs…

Q: When an object is removed from a furnace and placed in an environment with a constant temperature of…

A: Given: constant temperature =80°F core temperature =1500°F

Q: An athlete is planning to run a certain distance in three days. • The first day, he is planning to…

A: Let the athlete is planning to run  x miles. x = total distance On first day The distance to be…

Q: A company sells widgets. The amount of profit, y, made by the company, is related to the selling…

A:

Q: Solve and show work. The population of New England was 4,000 in the year 1750. The population…

A: This question can be solved using the modelling concept of compounded growth.

Q: a boat is 60 miles away from the marina, sailing direclty toward it at 12 miles per hr.  wtrite an…

A:

Q: 11. When babysitting Nicole charges a flat fee of $12, plus $5 per hour. Write an equation for the…

A: As given by the question There are given that the charges for babysitting is $12. And, Additional…

Q: 2. Jake swims for 12 minutes before school. He swims for x more minutes after school. Write an…

A:

Q: prepare for her final exams, Tehrim is creating a study schedule. The first day she will spend 45…

A: This is question on arithmetic progression.

Q: A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of…

A: Weight of the ceramic bowl = 340 gramsWeight of one tablespoon of sugar = 12.5 grams1.Total weight…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.