set up an algebraic equation and solve each problem. The total value of a house and a lot is $168,000. If the ratio of the value of the house to the value of the lot is 7 to 1, find the value of the house.

Q: use an algebraic approach to solve each problem. One-half of a number plus three-fourths of the…

A: Given:one half of a number + three fourths of the number =2 + 43 of the number

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

A: Given: 254x-1+145x+2=-1 We know that an expression is combination of numbers, variables and…

Q: The combined age of a mother and her twin daughters is 58 years. The mother was 25 years old when…

A: To find the ages of three peoples let mother age be x , twins age be y

Q: set up an equation and solve each problem. The total surface area of a right circular cylinder is…

A: The total surface area of a right circular cylinder is 32π square inches. The altitude of the…

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: 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: write an equation whose solution is the given quantity. Then, solve for the appropriate quantity.…

A: Let x tons of wheat is bought by the government at W$/ton and let y number offighter planes are…

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

A: x+25 + x-16=35

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: 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: solve each problem by setting up and solving the appropriate equation. A sum of $2250 is to be…

A: We have given total sum is $2250. Let the highest common factor is x of money which every personn…

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

A: Given problem is 352x-1-34x-2=-2. We know that an expression is combination of a number, variable…

Q: The range of a set of scores is 28, and the lowest score is 31. Write an equation to find the…

A: Given range or difference between lowest and highest score; 28 lowest score(l); 31

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

A: We have to determine that given problem is an equation or expression, if it is equation then we have…

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

A: Given x-23+x+24=-16

Q: set up an equation, and solve the problem. A sum of $1400 is to be divided between two people in the…

A: An equation consists an equal symbol between two algebraic expressions that have the same value. The…

Q: Mariana solved a linear equation and found that it had an infinite number of solutions. Which could…

A: we fill conclude in next step

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: set up an algebraic equation and solve each problem. An inheritance of $300,000 is to be divided…

A: Let the money received by the son be $3x. Then the money received by the local heart fund is $x…

Q: set up an algebraic equation and solve each problem. The ratio of male students to female students…

A: To find the number of male and female student

Q: set up an equation, and solve the problem. It takes Meredith 7 hours to clean an office building,…

A: Meredith takes  7 hours to clean an office building, Otis can clean the same office building in 5…

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 of the following problems. Suppose that the area of a square is…

A: Let 'x' be the side of the square.

Q: Set up an equation and solve.A rectangular piece of metal is 5in. longer than it is wide. Squares…

A:

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: Solve the given equation, then create an equivalent equation to the given equation x - 6 = 2x -8

A:

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: 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: Set up an equation and solve the following problem. Kent drives 240 miles in the same time that it…

A: The distance travelled by Kent, dK = 240 miles The distance travelled by Dave, dD = 220 miles  To…

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

A: Givenx-4=312x-25To find 'x'.

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: set up an equation, and solve the problem. Suppose that car A can travel 250 miles in 3 hours less…

A: Consider that car A can travel 250 miles in 3 hours less time than it takes car B to travel 440…

Q: Two cars leave the same spot at 10 AM and travel in opposite directions. If one car is travelling at…

A:

Q: set up an algebraic equation and solve each problem. A 20-foot board is to be cut into two pieces…

A: Given- A 20-foot board is to be cut into two pieces whose lengths are in the ratio of 7 to 3. To…

Q: by setting up and solving an appropriate algebraic equation. A pharmacist has a 6% solution of cough…

A: A pharmacist has a 6% solution of cough syrup and a 14% solution of the same cough syrup. Let x…

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

A: Given: h2-h3+h6=1

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

A: Given the problem is equation  h4+h5 = 1 We need to solve the equation.

Q: The sum of two consecutive odd integers is 244. Which one of the following equations could be used…

A:

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

A: Given 3x+2+12(5x-2)=-92

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

A: Given 2x-1+253x-2=-95

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

A:

Q: Mariana solved a linear equation and found that it had an infinite number of solutions. Which could…

A: Mariana solved a linear equation and found that it had an infinite number of solutions Hence, final…

Q: solve each problem by setting up and solving an appropriate equation or inequality. How many cups of…

A: How many cups of grapefruit juice must be added to 30 cups of a punch that is 8% grapefruit juice to…

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

A: Whether the problem 2/3 (2t + 1) - 1/2 (3t - 2) = 2 is an equation or an expression. If it is an…

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.