The president of a company traveled 1800 mi by jet and 400 mi on a prop plane. The rate of the jet was three times the rate of the prop plane. The entire trip took 5 h. Find the rate of the jet.

Q: A rowing team rowed 50 miles while going with the current in the same amount of time as it took to…

A: A rowing team rowed 50 miles while going with the current in the same amount of time as it took to…

Q: The president of a company traveled 1700 mi by jet and 300 mi on a prop plane. The rate of the jet…

A: Here, the rate of the jet and prop plane is the speed. Therefore, the speed of jet = 3 times the…

Q: Heather can travel 3 miles on her rollerblades in the same time Andrew can travel 8 miles on his…

A:

Q: The weight of a great white shark varies directly as the cube of its length. A great white shark…

A: According to question ,weight of shark ∝ length of shark3i.eW∝L3W=KL3where K is constant .

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: The president of a company traveled 2000 mi by jet and 400 mi on a prop plane. The rate of the jet…

A: Consider the given information

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A:

Q: it took a crew 2 hours and 40 minutes to row 6 kilometers upstream and back again. if the rate of…

A: Let x km/h be the rowing speed of the crew in still water Given the rate of the flow is 3 km/h Then…

Q: The president of a company traveled 2000 mi by jet and 400 mi on a prop plane. The rate of the jet…

A: Given thatThe company president travel by jet = 2000 miThe company president travel by prop plane =…

Q: The cost of a pencil is 25 cents more than the cost of a eraser. If the cost of 8 pencils and 10…

A:

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: 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: Weighs 5 pounds more than twice Brendan's weight, if total weight is 225 pounds how much was Danny's…

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Q: On a bicycle, Naomi rides for 2 hours and is 12 miles from her house. After riding for 10 hours, she…

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Q: The length of a rectangular driveway is eight feet more than three times the width. The area is 16…

A:

Q: A motorboat traveling with the current went 140 mi in 5 h. Traveling against the current, it took 7…

A: To determine the speed of current and speed of boat.

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

A:

Q: the length of a rectangular driveway is five feet more than three times the width. The area of the…

A: Topic:-  geometry and algebra

Q: Jamal and Moshe began a business with a capital of 7500 dollars. If Jamalfurnished half as much…

A:

Q: The president of a company traveled 1800 mi by jet and 200 mi on a pro plane. The rate of the jet…

A:

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: Devon is going to make 3 shelves for her father.  She has a piece of wood 12 meters long.  She…

A: Devon is going to make 3 shelves for her father with a piece of wood 12 meters long   Let the top of…

Q: A car went 372 miles in 6 hours, traveling part of the time at 55 miles per hour and the rest of the…

A: Given:  In the first travelling part of the   time at 55…

Q: Kellen paddled for 4 hours with a 3-km/h current to reach a campsite.  The return trip against the…

A: Given, Current is 3 km/hr and Let x km/hr be a boat speed in still water (x + 3) = speed going with…

Q: in a standard television set the screen height is .75 times the screen width. If a television set…

A: Let width be x. Therefore, Height= 0.75x Given, Diagonal= 31 inches

Q: The length of a rectangle is twice the width. If the perimeter is 42 inches, what are the length and…

A: If l is length and w is width then 1. Perimeter of rectangle= 2*(l+w).

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

A: Here we have to find the amount of the gas.

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

A:

Q: Twice a number increased by 8 is 4 less than three times the number. Find the numb-

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Q: A man bought a cow and a calf for 990 dollars, paying 8 times as much for thecow as for the calf.…

A: Let, x = the cost of the calf.   The cow costs 8 times as much, s So it costs = 8x.

Q: Mario is 6 feet tall and is standing next to a 30-foot building. How long is Mario's shadow if the…

A: We draw the images for given situations Here the shadow made by Mario is x feet, and the shadow…

Q: The distance from PSU to the Space Needle in Seattle WA is 194 miles. How long would it take to…

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Q: A hiker is told to carry 2 cups of water for every 10 minutes spent walking. The hiker plans to hike…

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Q: Andrew filled 5 boxes in 35 minutes. paige worked for 75 minutes at a faster rate than Andrew.Select…

A: Aptitude based problem solved here.

Q: company

A:

Q: The area of a rectangle is 24 square inches. The length of the rectangle is2 inches more than the…

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

A:

Q: A rowing team rowed 90 miles while going with the current in the same amount of time as it took to…

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: The length of a rectangular driveway is five feet more than three times the width. The area is 78…

A: area of rectangle= length × width

Q: The president of a company traveled 1900 mi by jet and 400 mi on a prop plane. The rate of the jet…

A: Explanation of the solution is given below...

Q: Two times the number of red tiles in a bag is the same as 75% of the number of red tiles in the bag…

A:

Q: A man bought a cow and a calf for $990, paying 8 times as much for the cow as for the calf. What was…

A: Let the cost of the calf= x  Cost of the cow = 8x  So total cost= x+8x=9x

Q: A customer bought $120 worth of coffee at $15 per pound and $72 worth of coffee at $18 per pound. On…

A: Given:

Q: Togther Julia and Kristie can rake their yard in 18 minutes. Alone, Julia needs 15 minutes longer to…

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

A:

Q: Jack has twice as many dimes as quarters. If the total value of the coins is $6.30, how many dimes…

A: Given: Jack has twice as many dimes as quaters. Total value = $6.30

Q: A pump boat travelled 80 kilometers in two hours with the wind, and 3 hours against the wind. What…

A:

Q: The length of a rectangle is five more than double the width. If the perimeter is 106 inches, find…

A: The length of a rectangle is five more than double the width. The perimeter is 106 inches. We have…

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.