On a bicycle, Rachael rides for 4 hours and is 38 miles from her house. After riding for 6 hours, she is 56 miles away. What is Rachael's rate over the last 2 hours? miles per hour mph

Q: If your car gets 32 miles per gallon, how much does it cost you to drive 30 miles when gasoline…

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Q: It took Ramon 7 hours to drive to a rock concert. On the way home, he was able to increase his…

A: It took Ramon 7 hours to drive to a rock concert. On the way home, he was able to increase his…

Q: If your car gets 25 miles per gallon, how much does it cost to drive 430 miles when gasoline costs…

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Q: Allison drove home at 64 mph, but her brother Austin, who left at the same time, could drive at only…

A: Given: Allison drove home at 64 mph, but her brother Austin, who left at the same time, could drive…

Q: On a bicycle, Heather rides for 9 hours and is 92 miles from her house. After riding for 11 hours,…

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Q: With the wind, a plane flew 425 miles in the same time that it took to fly 375 miles against the…

A: Let x denote the speed of the plane. The speed of the plane with the wind is x +10 and the speed of…

Q: A family drove to a resort at an average speed of 25 mph and later returnedover the same road at an…

A: Time taken is the ratio of distance covered and the average speed. t=d/v

Q: Erik drove home from college traveling an average speed of 59.2 mph and drove back to the college…

A: Given ,  Erik drove home from college traveling an average speed of 59.2 mph and drove back to the…

Q: A bus traveled on a level road for two hours at an average speed 20 mph faster than it traveled on a…

A: Given Data: Total distance= 376 miles Total Time =2+5=7 hours

Q: if 6 pounds of nails cost $4.92, at this same rate how much would 25 pounds of nails cost?

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Q: Rosalyn and Naomi left their homes, which are 330 miles apart, and drove straight toward each other.…

A: Solution: The objective is to find the Rosalyn's speed.

Q: On their next training run, Pepe averaged a speed of 2323 of a mile in 5 minutes, while Paula…

A: Average speed of Pepe is 2323 mile in 5 minutes. Average speed of Paula is 1414 mile in 2 minutes.…

Q: On a family vacation, Amy's dad drove the car at a constant speed and traveled 585 miles in 13…

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Q: Sarah jogs at an average rate of 2/15 mile per minute. At this rate, how many miles will she jog in…

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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: Boris runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?

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Q: Jazmine trained for 3 hours on Saturday. She ran 8 miles and then biked 24 miles. Her biking speed…

A: Given,           Jazmine trained for 3 hours on Saturday.           She ran 8 miles and then biked…

Q: Jay drove 4 hours to his home, driving 208 miles on the interstate and 40 miles on country roads. If…

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Q: It takes a boy 90 minutes to mow the lawn, but his sister can mow it in 60 minutes. How long would…

A: One day work of boy can be represented by the fraction 190.

Q: On their most recent 8-mile training run, Pepe averaged a speed of 1212 of a mile in 4.5 minutes,…

A: Pep Averaged a speed of 1212 of a mile    in 4.5 minutes.           speed of…

Q: The amount of money spent on a pizza for club activities varies directly with the number of pizzas…

A: First calculate the price for one pizza then divide the total amount by price of one pizza.

Q: Austin drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need…

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Q: The current in the PadiWan river was only 3 miles per hour, so the flotilla could go 92 miles…

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Q: Kathryn rides her bicycle for 10 hours and is 42 miles from her house. After riding for 12 hours,…

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Q: Brett leaves Seattle at 60 miles per hour. 19 minutes later, Saba leaves Seattle traveling the same…

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Q: A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it…

A: Suppose, the Average speed of the bus on the winding road was, x miles per hour  So, it's average…

Q: Jack and Jill enter a 600 km scooter race. Jill drives 4 km/h faster than Jack, but her scooter gets…

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Q: Quincy rides his bicycle 1 mile in 4 minutes, and his sister Marissa runs 13, 376 feet in 16…

A: given: Quincy rides his bicycle 1 mile in 4 minutes. therefore, for Quincy distance is 1 mile and…

Q: odul runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

A: Solution is as shown in step 2

Q: Milan drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to…

A: Given: Milan drove 240 miles using 9 gallons of gas.  To find: The amount of required gas for 216…

Q: Charlie drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would he need…

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Q: A family drove to a resort at an average speed of 30 mph and later returned over the same road at an…

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Q: A woman making $3000 per month has her salary reduced by 20% because of sluggish sales. One year…

A: A woman making $3000 per month has her salary reduced by 20% because of sluggish sales. One year…

Q: A bus traveled on a level road for 2 hours at an average speed 20 miles per hour faster than it…

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Q: Mark Martin can row upstream at 5 mph and downstream at 11 mph. If Mark starts rowing upstream until…

A: Write the separate equation for each part of the trip: Upstream: d1= r1*t1 (1) d1= 5*t1 mi…

Q: On a 300-mile trip to Chicago, Josh drove part of the time at 60 mph and the remainder of the trip…

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Q: Sarah drove 3 hours more than Michael on their trip to Texas. If the trip took 37 hours, how long…

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Q: A train leaves Little Rock , Arkansas, and travels north at 75 kilometers per hour. Another train…

A: One train travels north at 75 kilometers per hour. Another train travels south at 60 kilometers per…

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: Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1…

A: Given  Nina can ride her bike 63,360 feet in 3,400 seconds,  1mile=5280 feet

Q: On a bicycle, Kori rides for 4 hours and is 42 miles from her house. After riding for 12 hours, she…

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Q: Marcus drives from Chicago to Detroit in 6 hours. On the return trip, his speed was increased by 10…

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Q: Cesar drove home from college traveling an average speed of 64.2 mph and drove back to the college…

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Q: Maya runs 8 miles in 84 minutes. At the same rate, how many minutes would she take to run 6 miles?

A: See the attachment

Q: One morning, Justin drove 5 hours before stopping to eat lunch at Chick-fil-A. After lunch, he…

A: Let x = "how fast did he drive in the morning". Then his speed after lunch was (x+10)mph. The…

Q: A jeep drove 135 miles on a paved road at a constant speed. It then decreased its speed by 25 miles…

A: Let the speed of jeep on paved road be x. The distance traveled on paved road is 135 miles. The time…

Q: Latoya runs 6 miles in 45 minutes. At the same rate, how many minutes would she take to run 4 miles?

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Q: The winner of a 1000 mile ease drove his car to victory at a rate of 134.8617 mph. What was his…

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Q: Collin went on a bike ride of 24 miles. He realized that if he had gone 8 mph faster, he would have…

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Q: A pilot flew a jet from city A to city B, distance of 2000 miles. On the return trip, the average…

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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.