solve each problem by setting up and solving the appropriate equation. Working together, Lolita and Doug can paint a shed in 3 hours and 20 minutes. If Doug can paint the shed by himself in 10 hours, how long would it take Lolita to paint the shed by herself?

Q: a rectangle with a length of 22 feet and an uknown width w has a perimeter of 74 feet. set up and…

A:

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: 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: Solve the equation without using a calculator.

A: To solve the equation log8 (x - 5) = 23

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: 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. (4x - 3)2 - 5 = 20

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

Q: solve each equation. 2x/-5 = 3/(4x - 13)

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

Q: solve each equation. a/(a - 5) + 2/(a - 6) = 2/(a2 - 11a + 30)

A: we have to solve the given equation : aa-5+2a-6=2a2-11a+30

Q: solve each of the equations. -5a = -a2

A: The given equation is, -5a=-a2 On simplifying the given equation, we get -5a=-a2-a2+5a=0-aa+5=0

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

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

Q: solve each equation. 4√x = x - 5

A: Solutions: Consider the given equation is, 4x = x-5 Squaring on both sides we have: 4x2 = x-5216x =…

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. Uta is driving from Florida to…

A: Consider that the Uta's speed is 65 miles, Sven's speed is 70 miles and Sven leaves half hour late…

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

A: 4x-3=-20

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. 33x-4 = 15

A: 33x-4=15

Q: A flower-bed is in the shape of a triangle with one side twice the length of the shortest side and…

A: Solution:-  Given that a flower‐bed is in the triangle shape.   The shortest side is x   one…

Q: A boy has $4.85 in nickels, dimes, and quarters.  If he has 35 coins in all, and five more quarters…

A: Let n represents the number of nickels.

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: 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. x/-4 = 3/(12x - 25)

A: Givenx-4=312x-25To find 'x'.

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. Amy agreed to clean her brother’s room for $36. It took…

A: Let the number of hours expected by Amy be "x"

Q: solve each equation. 4y - 3 = 21

A: Given equation: 4y-3=21

Q: Solve each by setting up and solving an appropriate equation. A Florida beach house rents at a 30%…

A: Given the usual weekly rental amount for month January is $3,750. To find the weekly rental for one…

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

A: given,

Q: set up an equation and solve each problem. The sum of the lengths of the two legs of a right…

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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 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 each equation. -7(a + 4) - 3(2a - 9) = 5(3a + 11)

A: Given equation is,  -7a+4-32a-9=53a+11.   It is simplified as follows:…

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

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Q: solve each equation. 20x2 + 41x + 20 = 0

A: we have to solve the equation 20x2 + 41x + 20 = 0.

Q: The sum of the three angles in a triangle in 180°. Three angles of a triangle are: (x-20)°, 50°, and…

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

A:

Q: solve each equation. -8(a + 5) = -2(4a - 3)

A: Consider the provided equation, -8a+5=-24a-3 Solve the above equation.

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: After answering Part 1 and 2, What do you find as the solution?

A:

Q: set up an equation and solve each problem. Suppose that the length of one leg of a right triangle is…

A: Pythagorean formula a2+b2=c2a and b are the legs.c is the hypotenuse

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.