A ski resort can manufacture enough machine-made snow in 4 h to open its steepest run, whereas it would take 12 h of naturally falling snow to provide enough snow. If the resort makes snow while it is snowing naturally, how long will it take until the run can open? h

Q: True Value Rentals charges $20 to rent a moving truck for 3 hours, with an additional charge of $3…

A: On solving this we will get

Q: As part of her fitness program, Karen has taken up jogging. If she jogs 1 mi the first day and…

A: Formula:   Consider the arithmetic progression is a, a+d, a+2d,……….a+(n-1)d. Formula for nth term n…

Q: it takes angela 2hrs longer to do a certain job than it takes cat. They worked together for 3hrs,…

A: Let t = time required by cat to do the jobthen (t+2) = time required by angela to do the job

Q: A rectangular garden of area 50 square feet is to be surrounded on three sides by a fence costing $2…

A: First lets define some variable, let x= length of fence Y = length of brick of other dimension Thus…

Q: d) An 800-liter tank is half full of water is being filled with water pumped at the rate of 45…

A: We have, an 800-liter tank is half full of water and is being filled with water pumped at the rate…

Q: A motorcycle breaks down and the rider has to walk the rest of the way towork. The motorcycle was…

A:

Q: At a dairy plant, a milk tank can be filled in 8 hours (using the in-valve). Using the out-valve,…

A:

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: Jane is 2 mi offshore in a boat and wishes to reach a coastal village 6 mi down a straight shoreline…

A:

Q: Help The number of mosquitoes in a lake area after an insecticide spraying decreases at a rate of…

A: Given,

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: An investor invests 5000 dollars at 10% and the rest at 5%. How much was invested at 5% if the yield…

A: An investor invests 5000 dollars at 10%, which is one-fifth of the amount.

Q: =3 Eli's airship flies at an airspeed of 35 mph, but he is currently flying into a very steady…

A:

Q: Devontre rode his bike uphill 5 miles and then back downhill. The rate at which Devontre traveled…

A: Let his uphill rate is = x mph So his downhill rate is = x+20  Distance= 5 miles in each case.

Q: Bill and Brandon are downhill mountain-biking. Bill starts 500 feet ahead of Brandon and bikes at a…

A: Suppose, it will take t seconds for Brandon to catch up Bill So, at a rate of 42 feet/sec , Brandon…

Q: A roofer requires 10 h to shingle a roof. After the roofer and an apprentice work on a roof for 7 h,…

A:

Q: A math camp instructor estimates that students will take 3 hours to complete the first assignment of…

A: Student takes 3 hours to complete 1st assignment . Next he takes 5% less time for the second…

Q: A beer stein has a temperature of 28°F. It is placed in a room with a constant temperature of 70°F.…

A: A beer stein has a temperature of 28°F. It is placed in a room with a constant temperature of 70°F.…

Q: True Value Rentals charges $17 to rent a moving truck for 3 hours, with an additional charge of $2…

A:

Q: A runs 7/4 times as fast as B. if A gives B a start of 84 miles , how far must the winning post be…

A:

Q: A motor vehicle has a maximum efficiency of 32 mpg at a cruising speed of 40 mph. The efficiency…

A:

Q: Q:X takes 3 hours more than Y to walk 30 km.But, If X double his pace, he is ahead of Y by 1–…

A: Given- X takes 3 hours more than Y to walk 30 km and if X doubles his pace, he is ahead of Y by…

Q: n a culture of yeast, the amount of active ferment grows at a rate proportional to the amount ... If…

A: Growth given in the problem has exponential growth. If the quantity growing exponentially is denoted…

Q: A small pipe can fill a tank in 8 min more time than it takes a larger pipe to fill the same tank.…

A: Given Data The time to fill the tank by a small pipe is ts=(a+8) min. The time to fill the tank is…

Q: Suppose Chad has $5000 to invest. If he invests $3000 at 5% interest,  at what rate must he invest…

A: Suppose Chad has $5000 to invest. If he invests $3000 at 5% interest

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A: See the attachment

Q: Newborn blue whales are approximately24 feet long and weigh 3 tons. Young whales arenursed for 7…

A: Given that newborn blue whales are approximately 24 feet long and weigh 3 tons. Young whales are…

Q: Evan starts out on a snowmobile trail and travels at 35 km/h. Bonnie leaves 10 min later, travelling…

A:

Q: A certain bakery has found that the daily demand for bran muffins is 17500/p where p is the price of…

A: Equate the demand and supply equation to get the price P

Q: A company's revenue from selling x units of an item is given as R = 1600x – A 2x2. If sales are…

A: The rate of increase of revenue will be the first derivative of the revenue function w.r.t time.

Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +…

A: Solution ) r (t) = 15t8 + e-0.76t when t = 0 r(0) = 15×(0)8 + e--0.76×0 r(0) = 0 + e0 r(0) = 0 + 1…

Q: On a recent trip, a trucker traveled 385 mi at a constant rate. Because of road conditions, the…

A: Given: The distance traveled with first speed is 385 mi and distance traveled with second speed is…

Q: 2x decreases by 5 and that is equal to 6x increases by 31. Find x

A: 2x decreases by 5 i.e. 2x-5 6x increases by 31 i.e. 6x-31 Now, 2x decreases by 5 is equal to 6x…

Q: A Norfolk pine is 18 inches tall and grows at a rate of 1.5 feet per year. An airplane at an…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: A microorganism population quintuples every 10 minutes. If the count of microorganisms is 500 at t =…

A: In this question we have to find count of microorganism after 10 minutes.

Q: A worker’s wage depends on the number of hours he works. If his wage for 5 hours is ₱300, how much…

A: Wage

Q: on a bike ride of 72 miles. He realized that if he ha uld have arrived 8 hours sooner. How fast did…

A:

Q: A bottle manufacturer has determined that the cost (C) in dollars of producing xr bottles is C =…

A:

Q: At a hot air balloon festival, Mohamed's balloon is at an altitude of 40 m and rises 10 m/min.…

A: Given that at a hot air balloon festival, Mohamed's balloon is at an altitude of 40 m and rises 10…

Q: Suppose that x liters of pure acid are added to 200 liters of a 35% acid solution.a. Write a formula…

A: x liters of pure acid are added to 200 liters of a 35% acid solution. a). Concentration C of the new…

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3)r,…

A: Given that: D=53t2

Q: An apple farm yields an average of 4040 bushels of apples per tree when 1818 trees are planted on an…

A:

Q: A small pipe can fill a tank in 6 min more than it takes a larger pipe to fill the same tank.…

A: A small pipe can fill a tank in 6 min more than it takes a larger pipe to fill the same tank.…

Q: A long distance call costs x cents for the first minute and y cents for eachadditional minute. How…

A: Given that the first minute costs = x cents

Q: how long will it take to complete the sweeping?

A: Let the amount of time taken by the truck to sweep the entire town be t hours. The total distance…

Q: A salesman drives from Ajax to Barrington, a distance of 140 mi, at a steady speed. He then…

A: Let x miles per hour be the speed throughout the journey from Ajax and Barrington. Then, time taken…

Q: In a laboratory, it was observed that a colony of bacteria increases at the rate of 30% per hour. If…

A: Given that: Rate of increase = 30%Original number of bacteria = 10000

Q: A foundation invests $70,000 at simple interest, a part at 7%, twice that amount at 4%, and the rest…

A: Given, a foundation invests $70,000 at simple interest, a part at 7%, twice that amount at 4%, and…

Q: Alexis is traveling by train to a vacation spot that is 810 miles away. The train is traveling at 90…

A: We have to find the time taken in hours by Alexis to reach her destination from her current position…

Q: A thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. by…

A: