The cost of operating a car depends on the mileage m that your cargets the cost per gallon of , and the distance you drive How much does it cost to drive 100 miles if your car gets 25 miles per gallon and gasoline costs 3.49 per gallon ?

Q: A commuter plane provides transportation from an international airport to the surrounding cities.…

A: Let distance two cities is x miles.

Q: model of a building has a scale of 15 feet to 2 inches. How many inches on the model represent 60…

A: Solution: From the given information, 15 feet equal to 2 inches.

Q: The width of a land is twice its length. A land is measured in terms of square meters. Let x = the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Cost The cost of constructing a wooden box with a square base varies jointly as the height of the…

A:

Q: 8. A coln collection contalns the same number of nickels as dimes. Three times the value of the…

A:

Q: A traveler traveled for 6 hours and covered a distance of 520 km. He traveled the first 260 km by…

A: Given: A traveler traveled for 6 hours and covered a distance of 520 km.He traveled the first 260 km…

Q: Kindly show illustration and solution. A cable is to be run from a power plant on one side of a…

A: We have to find the most economical route over which to run the cable.

Q: e the table at the right. How long will the jet take to travel 4620 mi? Passenger Jet Travel Hours,…

A:

Q: Your car’s gas tank holds 25 gallons and you use 1.5 gallons of gas each day a. Find the rate of…

A: Given Car gas holds =25 gallons  Each day use gas =1.5 gallon

Q: Our super fly Lam flies 100m with the wind in 2 minutes. The return trip against the wind takes…

A: Let the speed of wind be x and the speed of fly be y. It is known that speed×time=distance. The…

Q: The perimeter of the triangle below is 42 units. x+5 x + 7 What is the value of x? Question 4 1 F…

A: (3).  The perimeter of triangle is the sum of all sides of the triangle.

Q: A car has a speed of 60 mph traveling north from Sioux City to Sioux Falls. It took 1 2/3 of an hour…

A: This question is based on speed, time and distance formula  s = d/t

Q: Consider a limousine that gets  m(v) =  (120 − 2v) 5  mpg at speed v (in mph), the chauffeur costs…

A: Given: mv=120-2v5

Q: A submarine left Hawaii two hours before an aircraft carrier. The vessels traveled in opposite…

A: A submarine left Hawaii two hours before an aircraft carrier the vessels traveled in opposite…

Q: Suppose you need 2200 kcal per day to maintain your weight, and that no more than 10% should come…

A:

Q: 25. Distance For a given speed, the distance traveled varies directly with the time. Kate's school…

A: Solve the above questions.

Q: A plumber has a piece of pipe that is 5-meter long. He needs to cut it into sections that are 10…

A: According to question

Q: Assume a gasoline price of ​$3.71 per gallon. What is the gasoline cost for a 2400​-mile trip if you…

A:

Q: An exercise test was performed on a triathlete. His VO2max was 73.0 mL/kg/min. He weighed 73 kg. To…

A:

Q: The cost to transport a mobile home depends on the distance, x, in miles that represent the cost to…

A: given :c(x)=4.25x0<x≤1503.25150<x≤5002.75500<x

Q: A pilot flew a jet from City A to City B, a distance of 2100 mi. On the return trip, the average…

A: Given that  Distance from city A to B =2100 mi  The round trip took7hr20min  To find the speed from…

Q: A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient…

A: Proportionality equation

Q: A commuter plane provides transportation from an international Airport to surrounding cities. One…

A: Given Given                total flying time   = 4 hrs

Q: A fence must be built to enclose a rectangular area of 5000 ft. Fencing material costs $3 per foot…

A: Let the length of the sides facing north and south is = x ft And the other two sides are of length =…

Q: The number of kilograms of water in a human body varies directly as the mass of the body. An 84-kg…

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Q: A quarter weighs about 6 grams. A dime weighs about 2 grams. What is the difference in weight…

A: It is known that 1 dollar=4 quarters and 1 dollar=10 dimes.

Q: A cyclist rides his bike at a rate of 6 miles per hour. What is this rate in miles per minute? How…

A: We can find the answer as below.

Q: The speed of one car is  20%  less than the speed of a second car. What per cent more time does the…

A:

Q: Use the information provided to answer Part A and Part B. Jill and Scott went running. Jill ran of a…

A: Using unitary method,we get

Q: The width of a land is twice its length. A land is measured in terms of square meters. How much will…

A: A rectangle is a parallelogram whose opposite sides are equal and each angle is 90° The area of…

Q: A commuter plane provides transportation from an international airport to the surrounding cities.…

A: Step 1Let the distance between the two airports be ‘x’. Given,The average speed of the commuter…

Q: Wendy took a trip from one city to another, a distance of 200 mi. She traveled part of the way by…

A: Refer to the question,Consider the bus data as, speed of bus 40 mi/hr and let the time se travelled…

Q: The Prairies ecozone includes the Manitoba Plain and the grasslands of southwest Saskatchewan and…

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Q: equipment used. 810,000 C = 40,000x + x> 0 Using how many pieces of equipment will minimize the…

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Q: It takes a boat 2 hours to travel 24 miles downstream and 3 hours to travel 24 miles upstream. What…

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Q: Express the rate described. James needs to work 55 hours every 4 weeks to meet the quota for his…

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Q: Sydney read 50 pages in 40 minutes. She reads at a constant rate. How many pages can Sydney read per…

A: Sydney reads at a constant rate. Sydney reads 50 pages in 40 minutes. We have to find how many pages…

Q: A piece of a chain's length and weight are in proportion. If 320 cm of chain weighs 8 kg, then ) A)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A car travels 130 miles on 5 gallons of gas. Give the ratio of miles to gallons as a rate in miles…

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Q: A Suburban has a fuel capacity of 31 gallonsThe table states the miles per Tank for a Suburban is…

A: Given The capacity of tank is 31 gallons Table shows that the Suburban model travels 651 miles per…

Q: Che cost of traveling varies directly as the distance traveled. If it costs $2,240 to fly from…

A: Given cost to fly from california to Hawai $2,240 distance between california and hawai  2200 miles

Q: A bat and ball cost $1.10. The bat costs $1 more than the ball. How much is the ball?

A: Let the cost of the ball be $x and cost of bat be $y.

Q: A bat and a ball cost $1.10. The bat costs one dollar more than the ball. How much does the ball…

A: The total cost of bat and ball is 1.10 dollars.

Q: The cost of a phone bill varies directly with the amount of minutes talked. It costs $80 to talk for…

A:

Q: A Suburban has a fuel capacity of 31 gallons. The table states the miles per Tank for a  Suburban is…

A:

Q: A plane flew at a constant speed between Denver and time (hours) distance (miles) speed (miles per…

A: To calculate the velocity of aircraft we use the formula v = (2×L)(ρ2×S×Cl), where L is lift force,…

Q: Describe the effect on the perimeter and area of the rectangle if the height is multiplied by 2 and…

A: First find the area and perimeter using given data than again find area and perimeter after…

Q: 8. The distance a jet travels varies directly with the number of hours flown. A jet travels 1,350…

A:

Q: Express the given quantity in terms of the indicated variable. The value (in cents) of the change in…

A: Given number of pennies = p Each pennies is each cent so we have p cents Nickel = 2p Each nickel…

Q: #42, Please see attachment.

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.