set up an equation and solve each problem. On a 135-mile bicycle excursion, Maria averaged 5 miles per hour faster for the first 60 miles than she did for the last 75 miles. The entire trip took 8 hours. Find her rate for the first 60 miles.

Q: set up an equation and solve each problem. Find two consecutive odd whole numbers such that the sum…

A: Let the two consecutive odd numbers are x and x+2. From the question, Sum of square of two odd…

Q: Solve each by setting up and solving an appropriate equation. If a DVD player costs a retailer $40…

A: Given  A DVD player costs a retailer $40 and it sells for $100.

Q: solve each equation. -1/(2x - 5) + (2x - 4)/(4x2 - 25) = 5/(6x + 15)

A: Given: -12x-5+2x-44x2-25=56x+15

Q: set up an equation and solve each problem. Two positive integers differ by 3, and their product is…

A: Given statement:  Two positive integers differ by 3, and their product is 108.

Q: solve each equation. 2a2 + 4a - 5 = 0

A: Quadratic equations are polynomial equation having degree of 2. They are in form ax2+bx+c=0 and have…

Q: Identify the type of solution for the problem and solve for the general equation

A:

Q: set up an equation and solve each problem. Find two integers whose product is 104 such that one of…

A: Consider the provided information, Find two integers whose product is 104 such that one of the…

Q: For each problem, write a linear equation and solve. 1. When 30% of a number is added to the number,…

A:

Q: set up an equation and solve each problem. A landscaper agreed to design and plant a flower bed for…

A: Definition used -               Earning per hour =Total earning Total hour

Q: The longest side of a triangle is six more units than the shortest side. The third side is twice the…

A: Given query is to find the sides of the triangle.

Q: set up an equation and solve each problem. Find two consecutive whole numbers such that the sum of…

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: set up an equation and solve each problem. Two cars leave an intersection at the same time, one…

A: Consider the given: Let the distance covered by the Car travelling in north be “x”. So, the distance…

Q: solve each equation. 4a(a + 1) = 3

A: Given: 4a(a + 1) = 3

Q: Translate the sentence to an equation and then solve. Twenty- four more than the product of four…

A:

Q: Solve the following equation step by step and check your result 2* – 4 = 0

A: Given the equation z3-4=0. We will find the roots of the equation using the De Moivre's Formula

Q: The sum of three consecutive even integers is 330. Find the three integers. Answer

A: Given sum of three consecutive even integer is 330 Let one number is x

Q: solve each equation. 4√x = x - 5

A: Solutions: Consider the given equation is, 4x = x-5 Squaring on both sides we have: 4x2 = x-5216x =…

Q: Solve each by setting up and solving an appropriate equation. Uta is driving from Florida to…

A: Consider that the Uta's speed is 65 miles, Sven's speed is 70 miles and Sven leaves half hour late…

Q: A bicycle and a bicycle helmet cost 240 dollars. How much did each cost, if the bicycle cost 5 times…

A:

Q: The sum of three consecutive even integers is 258. Find the three integers.

A:

Q: set up an equation and solve each problem. Find two consecutive integers whose product is 72.

A: Let the number are x and x+1 xx+1=72⇒x2+x=72⇒x2+x-72=0⇒x-8x+9=0

Q: Write out the equation for the story problem and solve for the original price. Darnell paid $200 for…

A:

Q: set up an equation and solve each problem. Suppose that the length of a certain rectangle is two…

A: The length of a  rectangle is two centimeters more than three times its width &  the area of the…

Q: set up an equation and solve each problem. Find two integers whose sum is 2 and whose product is…

A: Find two integers whose sum is 2 and whose product is -48.

Q: Two-thirds of Ariadne’s money together with five-sevenths of Brian’s money is equal to three-fifths…

A: Let Ariadne's money  = x Brian's money = y And Catriona's money = z

Q: set up an equation and solve each problem. Larry’s time to travel 156 miles is 1 hour more than…

A: Larry’s time to travel 156 miles is 1 hour more than Terrell’s time to travel 108 miles. Terrell…

Q: solve each equation. |x - 3/4| = 2/3

A:

Q: Levi is currently 41 years old and his daughter Nora is 5. In an unknown number of years, Levi will…

A:

Q: set up an equation and solve each problem. Find three consecutive integers such that the product of…

A: Consider the three consecutive integers as x,  x+1  and  x+2. Given that the product of the smallest…

Q: A woman can bicycle 21 miles in the same time as it takes her to walk 5 miles. She can ride 8 mph…

A: Given, A woman can bicycle 21 miles in the same time as it takes her to walk 5 miles. She can ride 8…

Q: set up an equation and solve each problem. Find two numbers such that their sum is 10 and their…

A: Given- The sum of two number is 10 and their product is 22. To find- The value of two numbers.…

Q: solve each equation. 1/(2x - 7) + (x - 5)/(4x2 - 49) = 4/(6x - 21)

A: solve each equation. 1(2x-7)+(x-5)(4x2-49)=4(6x-21)

Q: solve each equation. x/-4 = 3/(12x - 25)

A: Givenx-4=312x-25To find 'x'.

Q: Solve each by setting up and solving an appropriate equation. Find three consecutive integers such…

A: Let       x=smallest integerx+1=middle integerx+2=largest integer From the statement:…

Q: set up an equation and solve each problem. Find two consecutive even whole numbers such that the sum…

A: Let the first even whole number be x So, the second even whole number is x+2

Q: solve each equation. -3(x + 4) = 3(x - 5)

A: Given, -3x+4=3x-5

Q: set up an equation and solve each problem. Amy agreed to clean her brother’s room for $36. It took…

A: Let the number of hours expected by Amy be "x"

Q: Write out the equation for the story problem and solve for the original price. Darnell paid $220 for…

A: Consider the given statements. Let the original price of the t.v be x

Q: The president of a company traveled 1800 mi by jet and 400 mi on a prop plane. The rate of the jet…

A:

Q: set up an equation and solve each problem. Andre traveled 270 miles in 1 hour more than it took…

A: given,

Q: set up an equation and solve each problem. The sum of the lengths of the two legs of a right…

A:

Q: The value of Erica’s computer system depreciates at a rate of 26% per year. If she paid $1750 for it…

A: From the provided information, From two years ago Erica paid $1750 for her computer system. The…

Q: Solve each by setting up and solving an appropriate equation. A total of $500 was invested, part of…

A: The total investment is $500. Let x be the part of the amount invested at 7% interest. Let 500-x be…

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: set up an algebraic equation and solve each problem. A sum of $1750 is to be divided between two…

A:

Q: A licensed nurse practitioner is instructed to give a patient 2100 milligrams of an antibiotic over…

A: A licensed nurse practitioner is instructed to give a patient 2100 milligrams of an antibiotic over…

Q: set up an equation and solve each problem. Suppose that the sum of two numbers is 20, and the sum of…

A:

Q: set up an equation and solve each problem. Find two consecutive odd whole numbers whose product is…

A: To find two consecutive odd whole numbers whose product is 195. Solution: Let the two consecutive…

Q: set up an algebraic equation and solve each problem. Suppose that in a certain precinct, 1150 people…

A: Total voters are 1150. The ratio of female voters to male voters was 3 : 2. Let the female voters be…

Q: set up an equation and solve each problem. Suppose that the length of one leg of a right triangle is…

A: Pythagorean formula a2+b2=c2a and b are the legs.c is the hypotenuse

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.