Annika finished 1/4 of her run in 1/2 of an hour. How long will her whole run take.

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: Irina ran 1/2 mile in 3 1/2 minutes. At that rate, how long would it take her to run 2 miles?

A:

Q: A man traveled at 55mph for the first half of his trip and 70mph on the return trip. If his total…

A: We have to use distance time relation.

Q: Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5…

A:

Q: Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as fast as…

A:

Q: A mountain cabin on 1 acre of land costs S30,000. If the land cost 4 times as much as the cabin,…

A:

Q: A single serving of a cereal breakfast bar contains 18 grams of carbohydrates. This is 6% of the…

A: Let x grams of carbohydrates are recommended each day for a person on a 2000-calorie diet.

Q: It took Eric 9 hours to drive to a job interview. On the way home, he was able to increase his…

A: Case 1: Going for interview While going for the job, time, t1 = 9 hrs Let average speed, s1 = S…

Q: Mrs. Jackson traveled to a city 390 miles from his home to attend a meeting. Due to car trouble his…

A:

Q: What is the time needed to travel a distance of  10x2 + 3x − 4  miles if the rate is  5x + 4 mph?

A: Please refer the attached image for complete solution.

Q: How many average candy bars would you have to eat to ­supply the energy needed for 8 hours of…

A: Consider the given statement. Known fact: 1 candy bar supplies 1×106 Joules and one hour of running…

Q: The population of Watesville decreases at a rate of 1.6% per year. If the population was 62,500 in…

A: Given: Population in 2014, P = 62,500 Rate of decrease, r = 1.6% Population in 2020, Q = ?   Number…

Q: A machine that drills holes for wells drilled to a depth of -72 feet in one day (24 hours). At this…

A: Given Machine drills holes for wells to a depth of -72feet in 24 hours we have to find how many…

Q: Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to…

A:

Q: A small motorboat travels 16mph in still water. It takes 6 hours longer to travel 52 miles going…

A: To find the rate of current.

Q: Mariya ran 14 miles in one week. At this rate, how many miles would she run in 5 days?

A: We know that , 1 week = 7 days .

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

A:

Q: A family was taking a trip of 225 miles. On the way home, they were able to drive 5mph faster and…

A:

Q: Find how long it takes a person to drive 201 miles on the highway if she merged into a highway at 11…

A: SOLUTION-

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: Nina ran 12 laps in of an hour. At this rate, how many laps could she run in an hour?

A:

Q: Jeff invested $30,000 in a business whereas his partner Kris invested $50,000. How much more (in…

A: Given data: Consider the total investment be "x". Total money invested by Jeff $30,000. Total money…

Q: 700 is 10 times as much as

A: Let 700 is 10 times as much as x

Q: i can run 5 miles on one hour.At this rate,how long will it take me to run 7 miles?

A: I can run 5 miles on one hour. At this rate, how long will it take me to run 7 miles?

Q: Suppose the value of a car V is related to the number of years since its purchase by the formula V =…

A: Here the value of car  is given V = 25000-2100n After 5 year then n = 5

Q: Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long…

A: Sam raked 3 bags of leaves in 16 minutes

Q: A giant tortoise can travel 0.12 miles in 1 hour. At this rate, how long would it take the tortaise…

A:

Q: Raymond can paint of a wall in 16 minutes. How long would it take him to paint of a wall?

A: Given Raymond can paint 58 os a wall in 16 minutes

Q: O Three months later, Pepe averaged a speed of of a mile in 10 of an hour, while Paula averaged of a…

A: Given average speeds of P1 and P2 are: P1: 45 of mile in 110 of an hour. P2: 56 of mile in 112 of an…

Q: Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice as fast as…

A:

Q: Susan drove 660 miles in 12 hours. At the same rate, how long would it take her to drive 385 miles?

A:

Q: Light travels at a rate of 186,000 miles per second. If our moon is 238,860 miles from Earth, how…

A: We know, Speed = DistanceTime ⇒ Time = DistanceSpeed

Q: Ahmed can run 4.3 m/s and Khaled can run 6.7 m/s. Ahmed is given a head start of 24 meters since he…

A:

Q: My mom jogs 30 miles in 5 hours. How many miles can she jog per hour?

A: My mom jogs 30 miles in 5 hours. How many miles can she jog per hour?

Q: jennie and her brother larry left their home at the same time for their separate vacations jenny…

A: Speed at which Jenny travels is 75 km/hr. Speed at which Larry travels is 60 km/hr.   Let x be the…

Q: Jeff invested $40,000 in a business whereas his partner Kris invested $70,000. How much more (in…

A: Topic:- algebra

Q: Jane has twice as much money invested at 5% annual intrest as she does at 4%. If her yearly income…

A:

Q: A mountain cabin on 1 acre of land costs 30,000 dollars. If the land cost 4times as much as the…

A: Let the cost of the cabin=x  So the cost of the land=4x

Q: Stan and Hilda can mow the lawn in 30 min if they work together. If Hilda works twice as fast as…

A: From given information ,

Q: Your deposit of $3000 is now worth $3500. If your money was invested at 6% interest, to the closest…

A:

Q: The size of the wolf population at Isle Royale National Park increases at a rate of 4.3% per year.…

A:

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: If it takes 10 people 10 days to dig a hole, how long will it take 5 people to dig half a hole?

A:

Q: Sadam is 10 yrs. More than twice Larry’s age, 4 yrs. ago Sadam was three times as old as Larry. How…

A: Given: Sadam is 10 yrs. More than twice Larry’s age, 4 yrs. ago Sadam was three times as old as…

Q: What is the time needed to travel a distance of  20x2 + 7x − 3 miles if the rate is 5x + 3 mph? hr

A:

Q: Jane has invested $18,000 and gets an income of $1470 after a year. If a part of the $18,000 earns…

A:

Q: A giant tortolse can travel 0.14 miles in 1 hour. At this rate, how long would it take the tortoise…

A: We can find it as below

Q: A third of Arun's marks in mathematics exceeds a half of his marks in english by 30 . if he got 240…

A:

Q: Susan invests 3 times as much money at 8% as she does at 5%.  If her total interest after 1 year is…

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.