by setting up and solving an appropriate algebraic equation. Juan starts walking at 4 miles per hour. An hour and a half later, Cathy starts jogging along the same route at 6 miles per hour. How long will it take Cathy to catch up with Juan?

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: For Exercise, solve the equation. 4 = 3 + 3(x + 1)

A: Given:

Q: What is the answer for this equation?

A:

Q: Ql:- Solve the following equation? (General Solution) (1 – x)-220-- =0 AP

A: We will use knowledge of solving second order ODE with variable coefficients.

Q: Solve the equation for x.  4ex . e-2x = 6

A: The given equation is 4ex.e-2x=6

Q: Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x- 2) true?

A: A solution of an equation in the variable x is the value of x which satisfies the equation. If the…

Q: Solve the following equation for x: 272x-3 = 814-x

A: Given equation:

Q: Fiona, Ben, and Catherine are siblings whose ages are consecutive even integers. Fiona is the…

A:

Q: Make an appropriate substitution and solve the equation. (x2 + 4x)2 - 17(x2 + 4x) = -60

A:

Q: by setting up and solving an appropriate algebraic equation. Suppose that you have a supply of a 30%…

A: Suppose we are mixing x quarts of 30% solution and y quarts of 40% solution, the amount of alcohol…

Q: What is the first step you take when solving the equation 3-7 (y-4) = 38? Why is this your first…

A: Given equation: 3-7y-4=38

Q: Can 5 be the solution for x in the equation 5x- 2 = 23 ? How do you know?

A:

Q: use an algebraic approach to solve each problem. If a pair of shoes costs a retailer $24, and he…

A: Given: The pair of shoes costs $24 for retailer. And, he sell them for $39.60. Let r represent the…

Q: Adam’s desktop gaming computer weighs 5 pounds more than Sophia’s. If their computers weigh 73…

A: Let Sophia's computer weighs x pounds then Adam's computer weighs x+5 pounds.

Q: A vending machine has three times as many quarters in it has dollar bills. If the quarters and…

A: A vending machine has three times as many quarters in it has dollar bills. If the quarters and…

Q: Solve algebraically and round your answer to the nearest thousandth. 73-2 2 246 -

A: Solving the problem by using logarithm.

Q: 4) -2 = -csc2 0

A:

Q: A person wishes to build a rectangular fence that will enclose an area of 317 square feet. The width…

A:

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: An IT storekeeper ordered x mp4 players for a total cost of €840. He sold them at €20 each more than…

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: by setting up and solving an appropriate algebraic equation. Suppose that the length of a certain…

A: by setting up and solving an appropriate algebraic equation. Suppose that the length of a certain…

Q: solve the equation for x. 5x=(3x-2)(m+4)

A:

Q: solve the following equation x3-4x2+5x-2=0

A: Using the zero factor principle, it can be written that if ab=0 , then a=0 or b=0 . It is known that…

Q: how do i make a true or false equation?

A:

Q: by setting up and solving an appropriate algebraic equation. How many cups of grapefruit juice must…

A: To find: How many cups of grapefruit juice must be added to 40 cups of punch that is 5% grapefruit…

Q: How would you help someone solve the equation 3/x - 4/x = -1/x ?

A: To show 3x-4x=-1x.

Q: use an algebraic approach to solve each problem. If a head of lettuce costs a retailer $0.68, at…

A: The cost price of a head of lettuce is $0.68 The profit is 60% Let the selling price is x. The…

Q: set up an algebraic equation and solve each problem. Employees of an accounting firm were given a…

A: Givenemployees=540To find overweight employees.

Q: Set up an equation and solve. A student has 8 liters of a 10% alcohol solution. How much pure…

A: Let x be the amount(in litres) pure alcohol the student should add.

Q: Solve the equation: (2x - 1) (x - 1) = (x - 5) (2x - 5)

A: To solve, 2x-1x-1=x-52x-5

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: Remember to solve algebraically using the 4-step process and explain please. Fred is five years…

A: Let Fred's age be F years and Oshaun age be O yearsF+5=O             ---Eq  1F-4=23(O)        ---Eq…

Q: by setting up and solving an appropriate algebraic equation. A car leaves a town at 60 kilometers…

A: Given:           Speed of first car =60 km/hrSpeed of second car =75 km/hr

Q: Solve the equation for x  3(x-2)/5-x=8-(x/3)

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: use an algebraic approach to solve each problem. If 15 is subtracted from three times a certain…

A: Let the required number be 'a'.and three times a number=3aSince, it is given that if 15 is…

Q: Given 1 - 2x+4 = -35, what is the first step in solving this equation?

A: To solve an equation with modulus term, solve for both positive and negative.

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: Use the One-to-One Property to solve the equation for x. ex2-4  = e3x ​

A: Refer to the question,According to one to one property of exponents if bases are same, af(x) =…

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

A:

Q: Translate to an algebraic equation. use x as the variable in each case.5 less than a number is 12.

A: Let the number be x

Q: by setting up and solving an appropriate algebraic equation. How many gallons of a 12%-salt solution…

A: Let x gallons of 12%-salt solution be mixed with 6 gallons of a 20%-salt solution to obtain a…

Q: what is easyest way to solve this equation? X2+X-12=0

A:

Q: |-7z +5- 2 = 19

A: This question is based on absolute value.

Q: give the justification for each step of solving the equation 9x+12=10x-5

A:

Q: Solve the following equations: x4-x³-3x2-3x -18=0

A: To solvex4-x3-3x2-3x-18=0

Q: Solve |x – 3|2 - 4 |x – 3| = 12

A: The root of a quadratic equation, ax2+bx+c=0 is calculated using the quadratic formula,…

Q: Translate to an algebraic equation. use x as the variable in each case.3 more than a number is 7

A: Let the number be x

Q: Solve for the value of x. 5 9, r-4 x-7

A:

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.