While planning a hiking trip, you examine a map of the trail you are going on a hike. The scale on the map shows that 2 inches represent 3 miles.  If the trail measures 12 inches on the map, how long is the trail? How many miles?

Q: A bunch of broccoli weighs 22 ounces before cleaning. After cleaning, the broccoli weighs 14 ounces.…

A: Let x be the total weight of broccoli should be purchased.Given that, a bunch of broccoli weighs 22…

Q: If you are buying apples and it says they cost $16 for 6 pounds but you only want to buy 1 pound how…

A: For 6 pounds apple cost $16, we want to but only 1 pound.

Q: A loaded Roadway truck is moving 40 mph faster than a New York Railways freight train. In the time…

A:

Q: Pepe and Pilar agreed to race around an oval track. Pepe takes 35 minutes to complete one lap while…

A: Given- Pepe and Pilar agreed to race around an oval track. Pepe takes 35 minutes to complete one lap…

Q: A class average mark in an exam is 70. The average of students who scored below 60 is 50. The…

A: Let x students scored below 60 and y students scored 60 or more.  So, x+y=20  the total number of…

Q: A bushel is equal to eight gallons and a peck is one-fourth of a bushel. If the price is $20 per…

A:

Q: A zoo costs £40 for an adult and £28 for a child entry. How much for 2 adults and 2 children?…

A:

Q: Pepe and Pilar agreed to race around an oval track. Pepe takes 35 minutes to complete one lap while…

A: Pepe covers the distance in 35 mins and Pilar covers it in 50 mins, therefore the time at which they…

Q: The ratio of new age tunes to classical tunes on Raven's mp3 player is 3:1. If Raven has 3 classical…

A:

Q: In preparation for the homecoming football game, members of the student body are painting the spirit…

A:

Q: On a bicycle, Ashley rides for 3 hours and is 32 miles from her house. After riding for 5 hours, she…

A: Given that, the distance travelled in 3 hours is 32 miles and the distance covered in 5 hours is 52.…

Q: mary runs 9 miles in 54 minutes. how many minutes does she take per mile?

A:

Q: The next model of a sports car will cost 14.9% more than the current model. The current model costs…

A: current price = 31000 price of next car will be 14.9% more than the current price

Q: A rectangular dog pen measures 30 feet long by 45 feet wide. If fencing costs $5.67 per foot, how…

A: To Determine: A rectangular dog pen measures 30 feet long by 45 feet wide. If fencing costs $5.67…

Q: Approximately 50% of newborn babies weigh more than What percent of newborn babies weigh between 6.6…

A: As per the empirical formula: It shows that 68% will fall within the first standard deviation, 95%…

Q: . The three sides of a triangle must add up to a number less than or equal to 65 inches. One side is…

A:

Q: A woman working on commission makes $420 for selling $4,700 worth of merchandise. What is her…

A: Given:  Total sale = $4,700 comission = $420       To determine: Commission rate

Q: A traveling salesman figures it costs 21 cents for every mile he drives his car. How much does it…

A: Cost of 1 mile = 21 cents cost of 410 miles = 21×410=8610 cents 1 dollar = 100 cents 8610 cents = $…

Q: The standard markup in the book industry is 50%: the retail price of a book is one and one half…

A:

Q: A cake recipe requires 1/2 cup of white sugar. If this recipe is cut in half, how much sugar in…

A: A cake recipe requires = 1/2 cup of white sugar

Q: The next model of a sports car will cost 3.4% more than the current model. The current model costs…

A: Given, the current car model price that is cost price =$57000 and the increment is of 3.4%

Q: You drive for 5 hours at 55 miles per hour. If the entire trip is 385 miles, how many more miles do…

A:

Q: Pepe and Pilar agreed to race around an oval track. Pepe takes 35 minutes to complete one lap while…

A:

Q: When a certain drug was administered to a patient, the number of milligrams that remain in the…

A:

Q: A traveling salesman figures it costs 32 cents for every mile he drives his car. How much does it…

A:

Q: The sum of a number and its reciprocal is 17/4 . Find the  number

A:

Q: A pencil box and a notebook together cost $5.98. The notebook costs $0.40 more than the pencil box.…

A:

Q: Bert is building a model train based off one he saw in a museum. The original train is 240 inches…

A:

Q: Jake the lumberjack cut a log into three pieces in 6 minutes. He then cut a similar log into 5…

A: Given:A log cut into 3 pieces in 6 minutes.Then we have to find how much time it will take to cut…

Q: When two pieces of rope are placed end to end, their combined length is 120 feet. When pieces are…

A:

Q: A ballpoint pen and a notebook costs 100 pesos. The notebook cost 60 more than a ballpoint pen. What…

A: We can solve this as follows:

Q: Zahra is looking at a map of the park closest to her office that has a scale of 3 in. to 200 ft.  On…

A:

Q: how far is it from Clark?

A:

Q: A mountain is 17,886 feet above sea level, and a valley is 296 feet below sea level. What is the…

A:

Q: The highest point in Africa is Mt. Kilimanjaro, Tanzania, at an elevation of 19,340 feet. The lowest…

A: As the lowest point is 512 feet below sea level, its height is considered as -512 feet. Now the…

Q: Ming argues that the length of a will be half of the measure of the length of 6 since 45° is half…

A: Given that, the length of a will be half of the measure of the length of 6 And, 45° is half the…

Q: A car travels an average speed of 68 miles per hour. How many miles does it travel in 5 hours and 15…

A:

Q: Before hibernation, a bear weighs 990 pounds. The bear loses 32% of his weight. How much does the…

A:

Q: Eva and Liam are reading a novel in their English class. Liam has read 17 less pages than Eva has.…

A:

Q: Caroline ran 15 miles in 5 days. How many miles did she run each day?

A: Given,           Caroline ran 15 miles in 5 days.

Q: Approximately 50% of newborn babies weigh more than pounds. What percent of newborn babies weigh…

A: The mean is 7.5 and the standard deviation is 0.6.

Q: During a race Gwen jogged for 18 minutes if the ratio of time she jogged to the time she walked…

A:

Q: on their most recent 8 mile run, pepe averaged a speed of 1/2 of a mile in 4.5 minutes. paula…

A:

Q: In celebration of his 40th birthday, Joel will ride his bicycle 800 miles in a year. Each month Joel…

A: It is simplification.

Q: A choclate,cherry, vanilla cake (equal thirds each flavor) cake is purchased for $18.80. Jane values…

A: Let the value of Vanilla cake be x So the value of chocolate cake is 4x And the value of Cherry cake…

Q: seven is less than a number divided by 3 is five

A:

Q: A rental car company charges $30 plus 30 cents per each mile driven.Part1.   The Total cost for…

A: Calculate the total cost for 400 miles and than add the extra charges.

Q: The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles? 3.75 hours…

A: Chu family can hike 15 miles in =(1/3)*15=5 hour

Q: At a school outing, a group decides to go rafting. Each raft holds 8 people and costs $25 for the…

A: Given that a raft holds 8 people cost for one raft per day is $25 if 70 people decides to go to…

Q: Irma is 3 years older than Tim, and double the age than Hanna. tim is 2 years older than Hanna how…

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.