A car rental company offers two plans for renting a car. Plan A: 30 dollars per day and 14 cents per mile Plan B: 50 dollars per day with free unlimited mileage For what range of miles will plan B save you money?

Q: Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance…

A: Since the distance of each driver is not displayed. Let us assume their distances. Roger traveled =…

Q: Jason and Quan share a bicycle. Jason rides for an agreed-upon distance and then locks up the bike…

A: Walking speed of Jason and Quan is 4 mph Riding speed of Jason and Quan is 12 mph We have to find…

Q: he price of a dress after the discount is 140 riyals, a discount of 20%, how much is its price…

A: given is the price of a dress after the discount is 140 riyals, a discount of 20%, let x is price…

Q: Syd and David decided to travel from California to Marine in Syd's 1942 Cadillac.They allowed 10…

A:

Q: The average monthly income of P and Q is $5050. The average monthly income of Q and R is $6250 and…

A:

Q: As part of flight training, a student pilot was required to fly to an airport and then return. The…

A: relation is as below :

Q: The fee of a car rental includes: i. a basic rental fee ii. an additional charge for every 20 miles…

A: Let x be the basic rental fee, y be the charge for every 20 miles.   Total charge = Basic rental fee…

Q: A small radio transmitter broadcasts in a 59 mile radius. If you drive along a straight line from a…

A: The given radius is 59 mile .

Q: By increasing her usual speed by 15 kilometers per hour a bus driver decreases the time on a 15…

A:

Q: You receive two job offers: Job A: $44,000 starting salary, with 4% annual raises Job B: $47,000…

A:

Q: The income I of a computer analyst varies directly as the number of hours h worked. If the analyst…

A: Given income l is directly varies as the number of hours hIf $336 for working 8h.How much will the…

Q: You commute to work a distance of 40 miles and return on the same route at the end of the day. Your…

A: Given: The distance is 40 miles. The average rate on the return trip is 30miles per hour faster than…

Q: Jenny drove to the mountains last weekend. There was heavy traffic on the way there, and the trip…

A: Given query is to find the distance between the mountains and Jenny's home.

Q: At the end of spring break, Lucy left the beach and drove back towards home, driving at a rate of 40…

A: Speed of Lucy = 40 mph Speed of Lucy's Friend = 50 mph

Q: Central Ski and Cycle purchased 50 pairs of ski boots for $430 per pair less 30% and 10%. The…

A: Consider the provided question, Central ski and cycle purchased 50 pairs of ski boots for $430 per…

Q: A car rental company offers two plans for renting a car. Plan A: $3535 dollars per day and 1616…

A:

Q: The measure of one angle is 3° more than the measure of its supplement. Find the measure of both…

A: Let x be the angle and let the supplement of x be y. Here, y (Supplement of x) is given by 180°-x.

Q: Alex, Beverly, and Cal live on the same straight road. Alex lives 10 miles from Beverly, and Cal…

A: We sketch the situation roughly.

Q: The measure of a supplement of an angle is 8 more than three times the measure of a complement. Find…

A: Given The measure of a supplement of an angle is 8 more than three times the measure of a…

Q: A small radio transmitter broadcasts in a 49 mile radius. If you drive along a straight line from a…

A:

Q: The diagram shows how the students of Seattle University are coming to the university. About twice…

A: Given,

Q: A man sells an article at a profit of 25%  if he had brought it at 20% less and sold it for $10.50…

A:

Q: A car rental company offers two plans for renting a car. Plan A: $35 dollars per day and 16 cents…

A: In Plan A:- The cost per day is $ 35 and  cost per mile is 16 cents. In Plan B:- The cost per day is…

Q: A manager prices her new shoes at 40 % above the cost price. The cost price is $13.50. She then…

A:

Q: A ship that is in danger of sinking radios the Coast Guard for assistance. When the rescue  craft…

A:

Q: From a train station, one train heads north and another heads east. Some time later, the northbound…

A: Draw the given situation, it forms a right triangle so use Pythagoras theorem to find distance.

Q: Renting a car costs $40per day or $750 per month. Renting daily is cheaper for a few days, but after…

A:

Q: The table below shows the taxi fare in a city. For the first 3 miles $10 total For every additional…

A: Given data: For the first 3 miles the taxi fare is $10. For every additional mile the taxi fare is…

Q: Store A sells CDs for 2 dollars each if you pay a one-time fee of 104 dollars. Store B offers 12…

A: Given:Store A sells CDs for 2 dollars each if you pay a one-time fee of 104 dollars.Store B offers…

Q: UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the…

A: UPS For the first pound $7 and  $0.20 for each additional pound FedEx For the first pound $5 and…

Q: The owner of an ice cream franchisemust pay the parent company $1000 per month plus 5% ofthe monthly…

A: The owner of an ice cream franchise must pay the parent company $1000 per month plus 5% of the…

Q: The local cable television company offers two deals. Basic cable service with one movie channel…

A: Given: A local cable television company offers two deals. Basic cable service with one movie channel…

Q: Show your step by step solutions

A:

Q: To gain 25% after allowing a discount of 10% , the shopkeeper must mark the price of the article…

A: Given:Let x be actual price of articleDiscount of 10% of articleTo gain 25%Price price of…

Q: A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used.   Part…

A:

Q: A small radio transmitter broadcasts in a 64 mile radius. If you drive along a straight line from a…

A:

Q: A man sells an article at a profit of 25%. if he had bought it at 20% less  and sold it for $10.50…

A:

Q: ) A corporate team-building event costs $2 for every attendee. How many attendees can there be, at…

A: Answer

Q: The local cable television company offers two deals. Basic cable service with one movie channel…

A: Let 'x' be the basic cable and 'y' be each movie channel.

Q: Hiro works two part-time jobs in order to earn enough money to meet her obligations of at least $450…

A: Hiro wants to earn money of atleast 450 Let x be the number of hours she works at the mall and let y…

Q: Two cars leave an intersection .One car travels North the other East. when the car traveling north…

A: Two cars leave an intersection. One car travels North the other East. When the car traveling north…

Q: The table is just information to complete Q2, So just answer a question no. 2

A:

Q: The road from Aubrey to Bandaloot runs straight east and west for 55 miles. The road from Aubrey to…

A: Given that:- The road from Aubrey to Bandaloot runs straight east and west for = 55 miles.  The Road…

Q: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

Q: The supplement of angle K is 3 times the measure of angle K. Find the measure of angle K.

A: Given: The supplement of angle K is 3 times the measure of angle k

Q: 14. An online music company has a one-time registration fee of x and then a cost of y per download.…

A:

Q: Tyrone leaves city A on a moped traveling toward city B at 18 miles per hour. At the same time, Tina…

A:

Q: A salesperson is given a choice of two salary plans. Plan 1 is a weekly salary of $600 plus 6%…

A:

Q: A small radio transmitter broadcasts in a 64 mile radius. If you drive along a straight line from a…

A:

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.