Set up an equation and solve each of the following problems. It takes Amy twice as long to deliver papers as it does Nancy. How long would it take each girl to deliver the papers by herself if they can deliver the papers together in 40 minutes?

Q: Solve the given equation for x. 75x-5 = 31

A:

Q: Set up an equation and solve each of the following problems. Suppose that Wendy rides her bicycle 30…

A: Given:  Wendy rides her bicycle 30 miles in the same time that it takes Kim to ride her bicycle 20…

Q: How many gallons of 30% alcohol and 60% alcohol are needed to obtain a 20-gallon mixture which is…

A: Let x be the number of gallons of 30% alcohol. So, (20-x) will be the number of gallons of 60%…

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. 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 the following equation. 35x-4 = 6

A:

Q: After riding at a steady rate for 60 miles, a bicyclist had a flat tire and walked 8 miles to a…

A: Let the walking rate be x The cycling rate was 3 times faster than the walking rate. Therefore, The…

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: set up an equation and solve each problem. Find two numbers such that their sum is 6 and their…

A: Find two numbers such that their sum is 6 and their product is 7.

Q: 1.Tony is 6 years older than Jonathan. Six years ago, she was twice as old as he. How old is Tony?…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: set up an equation and solve each problem. On a 135-mile bicycle excursion, Maria averaged 5 miles…

A: You have to set this up as 2 different parts of long trip.    Lets call the 2nd part of the…

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: 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: Solve the following equation. 4x/5 -3=2-9x/10

A:

Q: Solve for the positive value of x that satisfies the following equation: (x + 20)(x - 5) = 350

A:

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: Solve the following equation. 9x-8=1.

A: We have to find x

Q: Set up an equation and solve each of the following problems. Barry can do a certain job in 3 hours,…

A: It is given that Barry can do a job in 3 hours and Sanchez can do the same job in 5 hours. hence,…

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 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: Solve the following equation. 33x-4 = 15

A: 33x-4=15

Q: Solve the following equation. 7x = 21

A: Given:7x=21

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

A:

Q: Solve each by setting up and solving an appropriate equation. Glenn invests $4000 at 5% annual…

A: The principle amount invested by Glenn is P=$4000 The annual interest rate is given as r=5% The time…

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: 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: There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven…

A: Extra charge = $0.50 per mile Total miles travelled = 48 miles Total cost = $64

Q: Dimitri has 40 math problems to do for homework. If he does 40 % of the assignment in one hour, how…

A:

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: 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: 3x-1 4x 5 = 3 2

A:

Q: Solve the following equation. 35x + 2 = 24

A:

Q: set up an equation and solve each of the following problems. The total surface area of a right…

A: Given: Total surface area of the cylinder is 54π square inches. Altitude is twice the length of the…

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

A: given,

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

A: Given: 5x-4=5x-4

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: Solve the equation without using a calculator .

A: Given equation: ex+4e-x=5

Q: Solve each by setting up and solving an appropriate equation. Carolyn has 19 bills consisting of…

A: Carolyn has 19 bills consisting of ten-dollar bills, twenty dollar bills, and fifty-dollar bills.…

Q: SOLVE THE FOLLOWING EQUATIONS:

A:

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: Solve the equation exactly for (0,2π)

A: Given trigonometric equation is:  Simplifying the equation,  Therefore,The solution to the given…

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: set up an equation and solve each problem. The difference between two whole numbers is 8, and the…

A: Given: The difference between two whole numbers is 8 and the difference between their reciprocals is…

Q: Find the two solutions to this equation, enter the lesser of the two answers in the first box. ax2 +…

A:

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: Solve the following equation. State exact simplified solutions. 32x-1 = g*-2

A:

Q: Pablo's father is 4 years older than his mother and Pablo is a third of his mother's age. If their…

A: topic - linear equation in one variable

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.