Kate wants to ride 10 miles on her bike. If she averages 1 mile in eight minutes, which is a reasonable estimate of the amount of time it will take her to ride 10 miles?

Q: To increase her endurance, a speed skater decides to include running as part of her workout. During…

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Q: The bakers at Healthy Bakery can make 320 bagels in 10 hours. How many bagels can they bake in 22…

A:

Q: The ratio of science books to novels in a new library is 25:45. What percent of the books in the…

A: Given Data: The ratio of science book to novel books=25:45

Q: A family is planning their vacation to Disney World. They will drive from a small town outside New…

A: New Orleans, Louisiana, to Orlando, Florida, a distance of 700 miles.  Average a rate of 55 mph.…

Q: A man walks at the rate of 4 miles per hour. How far can he walk into thecountry and ride back on a…

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Q: It took a crew 2 h 40 min to row 6 km upstream and back again. If the rate of flow of the stream was…

A:

Q: A bicycle is traveling at 12 miles per hour. How many feet will it cover in 55 seconds?

A: The speed of a bicycle is v = 12 mileshour = 123600 milessecond Time, t = 55 seconds To evaluate:…

Q: a car left xanadu at 6:45 h and arrived in zenoland at 7:05 h. it travelled at an average speed of…

A: Given that  a car left xanadu at 6:45 h and arrived in zenoland at 7:05 h. it travelled at an…

Q: It took a crew 1 h 10 min to row 7 km upstream and back again. If the rate of flow of the stream was…

A: Let the speed of crew e x . Rate of flow of stream = 8 km/h Rowing speed in upstream = x - 8 km/h…

Q: you run the first 2 miles of a 5 mile at a rate of 300 yards per minute. Then you run the last 3…

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Q: A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At…

A: In order to average 40 mph on a 20-mile trip, the time histotal trip must take is found by the…

Q: A butcher wants to make packages of ground meat averaging 1 pounds each. What is the greatest number…

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Q: A man on an island 12 miles south of a straight beach wishes to reach a point on shore 20 miles…

A: A man is at a distance of 12 miles south of a straight beach. This man wishes to reach a point on…

Q: It took a crew 1 h 12 min to row 9 km upstream and back again. If the rate of flow of the stream was…

A:

Q: Jan's electric bill is averaging $10 per day mostly due to the air conditioner. By setting the AC to…

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Q: a pilot flew a jet from Montreal to Los Angeles a distance of 2500 miles. on the return trip, the…

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Q: a student jogs 1 mi at a rate of 8mph and jogs back at a rate of 6 mph. Does it seem reasonable that…

A: A student jogs 1 mi at a rate of 8mph and jogs back at a rate of 6 mph. Does it seem reasonable that…

Q: John drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. What was…

A: Total distance travelled is,

Q: A trip, including hotel and air, is priced at $324.34 after tax. If the tax rate is 14%, calculate…

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Q: A 30-day supply of vitamins costs $3.21, what is the price in cents per day?

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Q: if an item is reduced by 65% and the original cost was $40 what is the cost now

A: Given: An is reduced by 65% Original cost is $40 We have to find current cost.

Q: 2) Richard can run a distance of 25 kilometers within 2 hours. How long will It take him to run 8…

A: given: Richard can run a distance of 25 kilometers within 2 hours. we have to determine how long…

Q: If rain is falling at a rate of 2.47 inches per hour, how much rain would you expect after 3.5…

A: Given: Rate of falling of rain= 2.47 inches per hour and we have to find out the rain after 3.5…

Q: To approximate the profit from the production and sale of the 145th skirt, what value do you plug…

A: P(x) denotes the profit function and P'(x) denotes the marginal profit function.

Q: The cost of a train ticket varies directly as the number of miles, M, of the trip. A 400-mile trip…

A: The cost of 400 mile trip is $180 We have to calculate the cost of 360 mile trip.

Q: Markham started driving at 8 am. By noon he had traveled 164 miles. What was his average speed in…

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Q: The price of a ream of paper is $4.00. A ream is defined as 500 sheets of paper. If a sheet of paper…

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Q: It took a crew 1 h 50 min to row 8 km upstream and back again. If the rate of flow of the stream was…

A: Given, It took a crew 1 h 50 min(=110 min) to row 8 km upstream and back again and the rate of flow…

Q: Liana was 10 miles from home at 2 pm and 70 miles from home at 3:30 pm. What was her average rate of…

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Q: .  Determine the amount of time it would take for the diamond to be worth $68,486

A: We have to find the time .

Q: Roger worked 9 hours on Friday and 6 hours on Saturday. What is the ratio of the work done on Friday…

A: To solve the following problem

Q: A student needs to run 3.2 km to get to school. If the student can run 5.5 mi/hr, how many hours…

A: Given that a student needs to run 3.2 km to get to school. The speed of the student is 5.5 mi/hr The…

Q: If rain is falling at a rate of 2.17 inches per hour, how much rain would you expect after 3.25…

A: Given, that  rain is falling at a rate of 2.17 inches per hour Means in 1 hour 2.17 inches rain…

Q: Elmer drove 196 km in 2 4/5 hour what was his average speed?

A:

Q: Angelina was driving home from college at 75 mph. UT is about 375 miles from Lubbock where she…

A: Distance to be travelled=375 miles Average speed=75miles/hour Since,  time=distancespeed

Q: $28 for 14 hours is equivalent to how much for 1 hour? What is this as a rate?

A:

Q: Deandra is doing her math homework. Out of 24 problems total, she completed the first 12 problems in…

A: Given that Deandra completed the first 12 problems in 1 hour and the last 12 problems in 3 hours.…

Q: The ratio of the number of pears to the number of kiwi fruits in a basket was 5 : 1. After Dewi gave…

A: Suppose we have equation : ax+bcx+d=pq where a,b,c,d,p,q are real numbers such that q≠0 as well as c…

Q: A computer chip manufacturer had net sales of $170 million with retums equal to 60 of gross sales.…

A: It is given that Net sales equal to $170 million And Returns equal to 160 of Gross sales. As we know…

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

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Q: The ratio of wins to losses for a football team is 3/1 . If the team played 20 games, how many wins…

A: Given data is : The ratio of a win to losses is 31 The total game played is 20. To find the number…

Q: At what rate is a car traveling if it goes 157.5 miles in 2.5 hours?

A: Given ,Distance travelled by car, d=157.5 milesTime taken, t=2.5 hours

Q: It took a crew 3 h 36 min to row 6 km upstream and back again. If the rate of flow of the stream was…

A: Let the rowing speed in still water be x km/ hour.The rate of the flow of stream is 4 km/ hour.The…

Q: made. The fixed costs for Generic Corp are $29 per day. How much does it cost the company in total…

A: Marginal Cost C'(x)=0.6(0.04x+0.18)(0.02x2+0.18) Total cost = Fixed cost…

Q: It took a crew 2 h 15 min to row 7 km upstream and back again. If the rate of flow of the stream was…

A:

Q: nik needs to estimate how many books will fit in a bin. Each book is 0.75 feet tall, 0.75 feet wide,…

A: Given, Each book is 0.75 feet tall, 0.75 feet wide, and 0.25 feet thick. The bin is 4 feet wide, 4…

Q: The rectangular front windshield of the bus has the length of 1.5V3 m and the width of 1.5 m. The…

A: The rectangular front of windshield has  Lengthl=1.53mWidthb=1.5m The wipers are attached to bottom…

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.