Set up an equation and solve each of the following problems. Suppose that Wendy rides her bicycle 30 miles in the same time that it takes Kim to ride her bicycle 20 miles. If Wendy rides 5 miles per hour faster than Kim, find the rate of each.

Q: Elvira and aletheia live 3.1 miles apart on the same street. They are in a study group that meets at…

A: Ginen:   Elvira and aletheia live 3.1 miles apart on the same street. They are in a study group…

Q: If Jack is 40 years older than Harry, how much slower is Jack's desired heart rate, in beats per…

A:

Q: A small motor on a fishing boat can move the boat at a rate of 10 mph in calm water. Traveling with…

A: This is the question that is based on the concept of speed, distance and time. When the boat will…

Q: 1 serving of juice is 1/5 liter, then how many liters are in 1/3 of a serving? Make a math drawing…

A:

Q: Two cars start at the same location and at the same time. Car A travels north at 8 mph, and car B…

A: Given data: *The speed of the car A travels to the north is vN=8 mph. *The speed of the car B…

Q: Mulder and scully are driving to the same town. Mulder leaves the office at 9:30 AM. Averaging 55…

A:

Q: Leah wants to invest 12,000 in an account that pays 4.5 annual interest write equations for the…

A: A = p(1+r)^t

Q: e same time that Dana is 5 mph more than Da

A: Speed , distance and Time: Speed=distancetime=dt Chuck travel 330 miles in the time it takes Dana to…

Q: A bus leaves a city at 12:00 pm and travels 50 miles per hour. A car leaves the same city at 12:30…

A: Given that, the bus leaves a half -hour before the car. The speed(r) of the bus is 50 miles per…

Q: The price of a bag of coffee beans, P, varies directly with the size, S, of the bag. If a 20 oz bag…

A: Given that, the price of a bag of coffee beans, P, varies directly with size, S. P∝SP=kS Therefore,…

Q: Two friends plan to meet at a restraurent for lunch.They both leave their home at 11:30 AM and…

A: Two friends plan to meet at a restaurant for lunch. They both leave their home at 11:30 AM and…

Q: Two cyclists, 96 miles apart, start riding toward each other at the same time. One cycles 2 times as…

A: let the speed of the slower cyclists be r Therefore, the speed of the faster cyclists will be 2r.…

Q: The price of gasoline purchased varies directly as the number of gallons of gas purchased. Suppose…

A:

Q: Julio and Darius can paint a room in 6 hours if they work together. If Darius were to work by…

A: Given query is to find the time taken by Julio to complete the task.

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.