set up an equation and solve each problem. The difference between two whole numbers is 8, and the difference between their reciprocals is 1/6. Find the two numbers.

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 this equation, csc2θ - 2cot θ = 4

A: The given equation is csc2θ – 2cot θ = 4.

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

A:

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: Two cyclists, 120 miles apart, start riding toward each other at the same time. One cycles 3 times…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

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: ..*.... The equation |x = 6 has the two solutions (smaller value) and (larger value).

A:

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: how to solve following equation for the unknown variable? 1/2x=12

A: Refer to the question we need to find the value of unknown variable 1/2x=12.

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: 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; a. If y = k/x, find the value of k using x = 8 and y = 12.b. Substitute the value for k into…

A: Given Data The equation is y=k/x.   (a) Put the value in the equation y=k/x at x=8 and y=12 to…

Q: Solve the following equation. 35x-4 = 6

A:

Q: Solve the following equations 3x+5 a). X-4 20 b). x2-4x+7 = x+ 2

A: Solution:-

Q: set up an equation and solve each problem. Find two integers whose product is 105 such that one of…

A: Solution: Let x= one of two integer      y= second of two integer   we will need to form equation…

Q: Solve the following equations x - 3 1. x + 2 x² – 4

A:

Q: solve each equation for the indicated variable. ax2 + bx = 0 for x

A: The given equation is, ax2+bx=0 The objective is to solve the equation for x.

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 the following equation. 5x * 4 = 0

A: Given query is to find the solution of the quadratic.

Q: Solve the equation below for the given variable: X+4 = 3x-6

A: Solving the equation for the given variable x +4 =3x -6

Q: set up an equation and solve each problem. Find two numbers whose sum is 6 and whose product is 2.

A: We have to convert the given algebraic statements to algebraic equations , then we can use…

Q: Solve each equation. 8x2 4x 5 0 0/1 V11 + 1 VII 1

A: In this question we have to solve the quadratic equation.

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

A:

Q: solve each equation for the indicated variable. 7/(y - 3) = 3/(x + 1) for y

A: To solve the given equation

Q: x +y 48. 2-a = b, for y

A: Solve for y x+yz-a=b

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 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 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: 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: 4) x3 – 2x2 + 5x – 10 = 0 %3D

A: We are given with the multiple number of question and our guideline is solve first question only…

Q: Two cyclists, 144 miles apart, start riding toward each other at the same time. One cycles 3 times…

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: Brandon walks 3 miles at a certain speed and then he jogs 3 miles per hour faster for 9 miles. If…

A: Given that Brandon walks 3 miles at a certain speed and then jogs 3 miles per hour faster for 9…

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: Two cyclists, 72 miles apart, start riding toward each other at the same time. One cycles 2 times as…

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: 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: To solve the equation x 125, we take the root %3D of each side. So the solution is x =

A: Given: To solve the equation x3=125, we take the ____________ root of each side. So the solution is…

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

A:

Q: how many loaves

A: answer is in next step

Q: Find the solutions of the equation, rounded to two decimal places. 4 - x2 = e-2x

A: The solutions of the equation can be found be plotting the graph of 4-x2 and e-2x on the same…

Q: Solve the following equation. x-4=8

A: The given equation is x-4=8. Add 4 on both the sides. x-4+4=8+4

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

A:

Q: Solve the following equation. 25x +2 = 18

A: A equation is given as, 25x+2=18 For solving the above equation apply the exponent rules, ex=y x=log…

Q: Emanuel can paint a room in 6 hours. Tom can paint the same room in 8 hours. How long does it take…

A: Given Emanuel can paint a room in 6 hours Tom can paint the same room in 8 hours

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.