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: Solve the given linear equation. 1 - x = x + 4

A: Our Aim is to solve the linear equation given below:-1-x=x+4 -(i)

Q: You decided to purchase a brand new car for $33,000. You trade it in 9 years later for 11,000.…

A: Given that: Present value of car=$33000 After 9 years=$11000

Q: Two buses leave towns 302 miles apart at the same time and travel toward each other. One bus travels…

A: Buses travelling towards each other have an effective (relative) velocity of their added velocities.…

Q: Two joggers set out at the same time from their homes 18 miles apart. They agree to meet at a point…

A:

Q: Tanya, who is a long-distance runner, runs at an average speed of 8 miles per hour (mi/h). Two hours…

A: Let: t = Honda's travel timethen(t+2) = Runner's travel time Honda's dist = runner's dist…

Q: Two Tropical Cyclones, travelling towards each other, left from two places that are 900 miles apart,…

A: Let the first Tropical cyclone be named cyclone A and the second one cyclone B.  Now, these two…

Q: If a special solution of the equation is y1=x , find the general solution?

A:

Q: Solve the following equation :  8(x+2)-3(2-x)=4(2x+6)-2

A: Consider the given equation.

Q: Suppose a trip from the dormitory to the late at 30 mph takes 12 minutes longer than the return trip…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Solve the following equation: e*+1 = 3e2x-!

A: Given,         ex+1=3e2x-5

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: set up an equation and solve each of the following problems. Suppose that the area of a square lot…

A:

Q: uations: (x+3)(x-1) =

A: Solve the following linear equations: (x+3)(x-1) = x^2+5

Q: At the end of spring break, Lucy left the beach and drove back towards home, driving at a rate of 40…

A: Speed of Lucy = 40 mph Speed of Lucy's Friend = 50 mph

Q: A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At…

A: In order to average 40 mph on a 20-mile trip, the time histotal trip must take is found by the…

Q: Elaine can complete a landscaping project in 8 hours with the help of either her husband Brian or…

A: Given,   Elaine+Brain →8 hours                   E        B                  Elaine+two…

Q: A student can finish a project 15 minutes earlier than the other student. How long will it take them…

A:

Q: solve the following equation: *= -y(1+ xy²)

A:

Q: airplane flying to the Dominican Republic has an altitude of 31,000 feet and is ascending at a…

A:

Q: You start your trip going 60mph, but you end up getting a flat tire. You change the flat, and now…

A: Let distance travel with 60 mph = x miles Distance travel with 45 mph = y miles Total distance…

Q: We breathe about 15 times per minute, and a hummingbird flaps its wings about 3,000 times per…

A: It is given that human breaths about 15 times per minutes and a hummingbird flaps its wings about…

Q: Solve the following equation for x 5x-3=3x-5

A: In this question , we can solve for 'x'.

Q: Solve the problem. Suppose that you are to cut a piece of ribbon for a wreath that is 96 inches long…

A: Let the length of the ribbon pieces are x and 3x.

Q: A car travels 50 mph and passes a truck traveling 40 mph. How long will it take the car to be more…

A: Speed of car 50 mph  Speed of truck 40 mph To find time in which car will be 16 mile ahead of truck

Q: set up an equation and solve each of the following problems. Suppose that a radius of a sphere is…

A: Given- Suppose that a radius of a sphere is equal in length to a radius of a circle. If the volume…

Q: Two trains leave towns 835 miles apart at the same time and travel toward each other. One train…

A:

Q: two joggers set out the same time from their homes 24 miles apart. they agreed to meet at a point…

A: Given:- Two joggers set out the same time from their homes 24 miles apart.  they meet at a point in…

Q: The age of the older of two boys is twice that of the younger; 5 years ago it was three times that…

A:

Q: If you drive 270 miles and use 10 gallons of gas, what is your rate of gas consumption?

A:

Q: Suppose that a car’s worth depreciates at a constant rate.  You bought the car in 2002 for $18,000…

A: Considering the years as x-axis and and cars worth as y-axis. Let 2002 be 0. Therefore,the given…

Q: Use the four-step procedure for solving variation problems to solve : If all men had identical body…

A:

Q: A doctor prescribes a 400-mg antibiotic tablet to be taken every eight hours. Just before each…

A:

Q: As part of a conditioning program, a jogger ran 12 mi in the same amount of time as it took a…

A:

Q: What are the solutions to the following equation?

A: We will solve for r as follows

Q: If a car moving at a constant rate travels (2x3-x2 - 4x + 3) km in (x2 - 2x + 1) hours, what is the…

A:

Q: set up an equation and solve each of the following problems. Suppose that the area of a circle is…

A: The area of the circle is, A=πr2. The perimeter of the square is, P=4a.

Q: 27* = 9r+x

A: Given : 27x=9x2+x

Q: x² + y = 0 lx³ – 2x – y = 0

A: Given equations are, x2+y=0⋯⋯⋯⋯1x3-2x-y=0⋯⋯2 From equation (1), x2+y=0y=-x2⋯⋯⋯3 Substitute the value…

Q: a carousel spins at a rate 2 miles in 7 minutes how far would a passenger on carousel travel in 25…

A: a carousel spins at a rate 2 miles in 7 minutes how far would a passenger on carousel travel in 25…

Q: la) The sum of the ages of Afful and Naomi is 34years. Five years to come, Afful will be 2 times the…

A:

Q: If a hiker travels at an average speed of 2.5 mi/h, how long will it take him to travel from the…

A: Let us rename the triangle as ABC,

Q: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

Q: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A:

Q: Set up an equation and solve each of the following problems. If two inlet pipes are both open, they…

A: If two inlet pipes are both open, they can fill a pool in 1 hour and 12 minutes. One of the pipes…

Q: Solve for the following problems and show your solutions:

A: answer is in next step

Q: Set up an equation and solve each of the following problems. Kent drives 270 miles in the same time…

A: Kent drives 270 miles in the same time that it takes Dave to drive 250 miles and Kent averages 4…

Q: A train leaves San Diego at 3:00 PM. A second train leaves the same city in the same direction at…

A: Given data are: Time at which First train leaves San Diego = 3:00 PM Time at which Second train…

Q: Formulate the following problems as a part of equations, and hence find theirsolutions.Ressa can row…

A: First of all, use the speed-distance formula to calculate speed of rowing in downstream and…

Q: A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45mph. If the car had a 1…

A:

Q: a total of $12,000 is invested in tow funds paying 9% and 11% simple interest.  if the yearly…

A: Given, total invested amount, two interest rates and total yearly interest

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.