set up an equation and solve each problem. Two cars leave an intersection at the same time, one traveling north and the other traveling east. Some time later, they are 20 miles apart, and the car going east has traveled 4 miles farther than the other car. How far has each car traveled?

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

A: Two consecutive even whole number whose product is 224

Q: solve each problem by setting up and solving an appropriate equation or inequality. If the…

A: Let measure of angle is θ.

Q: solve each problem by setting up and solving the appropriate equation. The length of a picture…

A: To find the dimensions of the picture

Q: solve each problem by setting up and solving an appropriate equation or inequality. The length of a…

A: Consider the given perimeter of the rectangle is 50 centimeters. Let length of rectangle b and width…

Q: set up an equation and solve each problem. Suppose that the sum of two whole numbers is 9, and the…

A: Let x and y be required whole numbers. Given that Suppose that the sum of two whole numbers is 9,…

Q: solve each equation. (4x - 3)2 - 5 = 20

A: Given: 4x-32-5=20

Q: solve each of the equations. 3x2 = 7x

A: Solve each of the equations.       3x2=7x

Q: solve each of the equations. 4x2 = 5x

A: Given equation is 4x2=5x

Q: Set up an equation and solve each of the following problems. To travel 60 miles, it takes Sue,…

A: Consider the provided information, Let t is the time for Doreen to go 50 miles and r is the Doreen's…

Q: set up an equation and solve each problem. The perimeter of a rectangle is 41 inches, and its area…

A: The perimeter of a rectangle is 41 inches, and its area is 91 square inches

Q: solve each equation. 30 - 19x - 5x2 = 0

A: We have to solve the equation: 30-19x-5x2=0 Rewriting the equation by arranging the terms,…

Q: Solve each equation. (a) x2 - 5 = 0 (b) (x - 4)2 = 5

A: (a) Use the identity a2-b2=a+ba-b to factorise the equation.

Q: Instructions: Solve each equation by undoing what has been done to the variable. 1. h4 15=6 2. -10…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: solve each of the equations. 5/6x - 2/3 = 7/(10x)

A: Given:                  56x-23=710x Solve LHS: 56x-23 LCM of 6x and 3: 18x…

Q: solve each equation. 5/(2a - 1) = -6/(3a + 2)

A: Given52a-1=-63a+2To finda

Q: solve each equation. 6/(x - 4) - 4/(x + 3) = 8/(x - 4)

A: The given expression is 6x-4-4x+3=8x-4

Q: A wallet has an amount of P5,000.If it only has P200 bills and P100 bills and the total number of…

A:

Q: solve each of the equations. 2/(5x - 2) = 4/(6x + 1)

A: We can separate the variable on the one side of the equation and simplify the other side. Degree of…

Q: Solve each by setting up and solving an appropriate equation. Marcela has a collection of nickels,…

A: Let the number of nickels, dimes and quarters are denoted by x, y, z respectively. According to the…

Q: Solve each equation. 1) 2= -r -5-

A:

Q: Solve: Find all the solutions for each equation. 2) x* -8 = -2x2 3) x3 +3x2- 5x – 15 = 0

A: Given:- 2)  x4 -8=-2x2   3) x3 +3x2-5x-15=0 To find:- Solutions of given equations

Q: solve each of the equations. 6x4 - 23x2 - 4 = 0

A: Given equation: 6x4-23x2-4=0

Q: determine whether the given problem is an equation or an expression. If it is an equation, then…

A: 2x-12-3x+14=310 is an equation because it contains equal sign. Simplify the above equation…

Q: Solve the given equation, then create an equivalent equation to the given equation 9x + 3 = 15x -6

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. 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: set up an equation and solve each of the following problems. The sum, in square yards, of the areas…

A: Given: Side of square is twice the length of a radius of the circle.

Q: set up an equation and solve each problem. A company has a rectangular parking lot 40 meters wide…

A: Consider the given information as b=40 and l=60

Q: solve each of the equations. x - 4x2 = 0

A: To solve the equation x-4x2=0

Q: determine whether the given problem is an equation or an expression. If it is an equation, then…

A: Given problem is 4x-110-5x+24=-3

Q: set up an equation and solve each problem. The length of a rectangular floor is 1 meter less than…

A: Let the width of the rectangular floor be x. Then the length of the floor will be = (2x - 1) Given…

Q: set up an equation and solve each of the following problems. Suppose that the length of a rectangle…

A: An equation can be defined as a mathematical statement consisting of an equal symbol between two…

Q: solve each equation. 3n2 + 10n - 8 = 0

A: To Solve 3n2+10n-8=0 3n2+10n-8=03n2+12n-2n-8=03nn+4-2n+4=03n-2n+4=0

Q: determine whether the given problem is an equation or an expression. If it is an equation, then…

A: Concept - A relation is an equation if it involves an equal sign.And if it just involves polynomial…

Q: Solve each equation.  C-4/4 = c-4/8

A: Assuming the given the equation:

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. 5x2 = 43x - 24

A: 5x2 = 43x - 24 It can be re-written as  5x2 - 43x + 24 = 0

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

A: Givenx-4=312x-25To find 'x'.

Q: solve each of the equations. b2 = -7b

A:

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. 4y - 3 = 21

A: Given equation: 4y-3=21

Q: solve each of the equations. (5x - 4) = √(5x - 4)

A: Given: 5x-4=5x-4

Q: 2. Solve each equation. a) s. b) 2x - 5x -3

A:

Q: solve each of the equations. -4x2 + 9x = 0

A: Given- -4x2+9x=0 To solve- The above equation.

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 of the following problems. The square of a number equals seven…

A: From the given data:

Q: Solve the given equation, then create an equivalent equation to the given equation 2x + 2 = -4

A:

Q: solve each equation. 4(x - 2) - 3(x - 1) = 2(x + 6)

A: Given: 4x-2-3x-1=2x+6 To Find: To solve the given equation

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.