On a bicycle, Kori rides for 4 hours and is 42 miles from her house. After riding for 12 hours, she is 122 miles away. What is Kori's rate? miles per hour

Q: Kiran drove from Tortula to Cactus, a distance of 300 mi. She increased her speed by 20 mi/h for the…

A: Given:The distance from Tortula to Cactus is 300 mi and distance from Cactus to Dry Junction is 400…

Q: Khloe drove 204 miles in 4 hours. If she continued at the same rate, h ow long would it take to…

A: Khloe drove 204 miles in 4 hours for this the speed is 204/4 = 51 mile/hour for next 765 mile same…

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: On Monday, a local hamburger shop sold a combined total of 412 hamburgers and cheeseburgers. The…

A: Combined total number of hamburgers and cheeseburgers sold= 412 Let number of hamburgers sold be H.…

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: Sarah went to the internet cafe traveling 6 mph and returned home traveling 12 mph. If the total…

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Q: When driving 9 hours trip home, Sharon drove 390 miles on the interstate and 150 miles on country…

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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: A blue train leaves Central station traveling east at 15 miles per hour. Four hours later, a yellow…

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Q: Julie and Justin collected some stamps. After Julie gave 1/3 of her stamps to Justin, the ratio of…

A: Julie and Justin collected some stamps. After Julie gave 13 of her stamps to Justin. the ratio of…

Q: The admission fee at an amusement park is $2.50 for children and $6.20 for adults. On a certain day,…

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Q: A bus traveled on a level road for 5 hours at an average speed 20 miles per hour faster than it…

A: The relation between speed time and distance is given by; Speed=Distance time

Q: Jamir is tralning for a race and is running laps around a field. If the distance around the field is…

A: Distance around the field is 475 yards.

Q: Felipe drove  408  miles using  16  gallons of gas. At this rate, how many miles would he drive…

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Q: Kiran drove from Tortula to Cactus, a distance of 250 mi. She increased her speed by 10 mi/h for the…

A: Let her speed from Tortula to Cactus was x mi/h. And distance= 250 mi. So time= distancespeed=250x…

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

A: Let the average speed on the level road is = x mph Total time on the level road is= 2 hours  So…

Q: During a road trip, Tonya drove one-third the distance that Lana drove. Mark drove 9 miles more than…

A: It is given thatTonya drove 1/3rd of the distance that Lana drove.Mark drove 9 miles more than Lana.…

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: If the cost of two tires is $130.56, how much will it cost to buy ten tires?

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Q: Rachel took a two-day road trip last weekend. She drove 65 miles less on Sunday than she did on…

A: Let x be the number of miles Rachel drove on Saturday and y be the number of miles Rachel drove on…

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: A midwestern music competition awarded 37 ribbons. The number of blue ribbons awarded was 2 less…

A: Consider the number of white ribbons is x. So, the number of blue and red ribbons are x-2 and x+3,…

Q: 4. Kara's golf score was 1 less than three fourths of Greg's golf score. If the sum of their scores…

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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: 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: 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: The price per pound of lobster was $2.94 per pound. Due to a limited supply, this price per pound…

A: The price per pound of lobster was $2.94 per pound. Due to a limited supply, this price per pound…

Q: Melissa drove 660 miles in 12 hours. At the same rate, how many miles would she drive in 7 hours?…

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Q: On a bicycle, Alicia rides for 3 hours and is 29 miles from her house. After riding for 7 hours, she…

A: We can write the distance as a function of time D(3)= 29 and D(7)= 65

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: 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: The length of the tunnel is 460 miles. If 1 inch represents 60 miles, what is the length of the…

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Q: On Monday, a local hamburger shop sold a combined total of 276 hamburgers and cheeseburgers. The…

A: Given,          On Monday, a local hamburger shop sold a combined total of 276 hamburgers…

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

A:

Q: A midwestern music competition awarded 44 ribbons. The number of blue ribbons awarded was 3 less…

A: Let the number of blue ribbons awarded be b. Let the number of red ribbons awarded be r. Let the…

Q: On Sunday, a local hamburger shop sold a combined total of 304 hamburgers and cheeseburgers. The…

A: It is given that a hamburger sold a combined total of 304 hamburgers and cheeseburgers.

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: Jacqueline rides her bicycle for 2 hours and is 14 miles from her house. After riding for 5 hours,…

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Q: Boris drove 804 miles in 12 hours. At the same rate, how many miles would he drive in 5 hours?

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Q: On a bicycle, Christy rides for 8 hours and is 82 miles from her house. After riding for 11 hours,…

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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: Max practiced piano 5 more than 3 times as many minutes as Margie did. If Max practiced for 50…

A:

Q: Hannah has a collection of 200 movies on DVVD. The ratio of comedies to action movies is 2:3, and…

A: Here the total number of DVD'S Hannah has is equal to 200 The given ratios are, Comedies to action=…

Q: In Fayetteville, the library is 3 miles due west of the post office and the zoo is 5 miles due north…

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Q: In the first game of the playoffs, the Toronto Maple Leafs scored six more goals than the Montreal…

A: Given: Toronto Maple Leafs scored six more goals than the Montreal Canadiens. Total goals are 104

Q: At the fast food restaurant, an order of fries costs $0.92 and a drink costs $0.96. How much would…

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Q: Tracy is training for a race and is running laps around a track. If the distance around the field is…

A: Distance around the field = 475 yards ∴1 Lap = 475 yards Now, 1 mile = 1760 yards

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.