9) Write an equation that models the following problem. Then use your equation to solve the problem. Two pumps are being used to fight a fire. One pumps 5000 gallons in 20 minutes, and the other pumps 5000 gallons in 25 minutes. How long will it take the two pumps together to pump 5000 gallons?

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: 6. In an ice cream shop, each ice cream cone (c) costs $3 and each bowl of ice cream (b) costs $5.…

A: According to the question,  In an ice cream shop, each ice cream cone (c) costs $3 and each bowl of…

Q: set up an equation and solve each problem. Two positive integers differ by 3, and their product is…

A: Given statement:  Two positive integers differ by 3, and their product is 108.

Q: What is the answer for this equation?

A:

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: How do you solve linear equations with 3 variables?

A: To solve equation with three variables, we use elimination method.First we take two equation, 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: Identify the type of solution for the problem and solve for the general equation

A:

Q: The equation used to predict how tall a dog will be as an adult is ŷ=4.5 + 0.7x1 + 0.55x2, where x1…

A: From the given information, the regression equation is y^=4.5+0.7x1+0.55x2. Here, x1 is the height…

Q: A car travel at 15 mph and a truck travel at 32 mph. The car needs two and a half hours more than…

A: Given: Speed of a car is 15 mph and speed of a truck is 32 mph. The car takes two and half hours…

Q: 2) The perimeter of a rectangle is 42 feet. The length decreased by three times the width is 1 foot.…

A: Given,        The perimeter of a rectangle is 42 feet. The length is decreased by three times…

Q: Amanda says she can solve the following problem using the equation below. Do you agree? Explain. A…

A: According to the question, there are 8 buses with a capacity of 24 students each, are used to…

Q: The equation x =2* has three solutions, x = 2, x= 4, and one other. Estimate the third solution as…

A: By graphing the equation

Q: Anna and Victor are mowing lawns for summer income. Victor working alone takes 2.5 times the time it…

A:

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

A:

Q: A school held a tennis tournament. After each round, one-fourth of the players were eliminated. If…

A: A geometric sequence is a series of numbers when the ratio of consecutive terms is constant…

Q: solve each equation. 4(2a + 3) - 3(4a - 2) = 5(4a - 7)

A: Consider the given equation, 42a+3-34a-2=54a-7 first, expand the brackets on both sides of the…

Q: 1.) Solve each equation. а.) 2(х — 3) + 5(1 — х) — 2 6-5х b.) 4х+3 -2

A:

Q: Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone…

A:

Q: A student wrote these steps while solving the equation -8 = 4+ 3x. Original Equation: -8 = 4+ 3x…

A:

Q: 28. IF five times a number is subtracted from 27, the result is nine more than four times the…

A: We use here simple algebraic computational operation.

Q: Not sure how to solve this.

A: The linear equations given as option are in one variable.Linear equations in one variable may have…

Q: How would I write this as a equation? "The output value is 4 less than one third of the input value

A:

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: Fatuma needs to mix a 10% acid solution with a 40% acid solution to create 300 millileters of a 34%…

A: Given that Fatuma needs to mix a 10% acid solution with a 40% acid solution to create 300…

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

A: Given: Marina solved a linear equation and found that it had an infinite number of solutions.

Q: set up an equation and solve each problem. A company has a rectangular parking lot 40 meters wide…

A: Consider the given information as b=40 and l=60

Q: 3. Write the following situation in the form of equations: Raju's father's age is 5 years more than…

A: Raju age is 13 years.

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

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: What does it mean to solve an equation?

A: An equation is an expression having the certain terms with equalityon both sides and is expressed…

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 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: Solve the equation.

A: x+4=6x+194

Q: V8x + 25 - x- 2 = 0

A: We have, √(8x +25) - x - 2 =0 => √(8x + 25) = x + 2    On squaring both side

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: 5. A plumber charges $25 for a service call, plus $50 per hour of service. Which equation below…

A:

Q: Fatuma needs to mix a 20% alcohol solution with a 60% alcohol solution to create 100 millileters of…

A: If x is the volume of the 20% alcohol solution, then you will have (200-x) of the 60% alcohol…

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

A:

Q: One inlet pipe can fill an empty pool in 8 hours, and a drain can empty the pool in 16 hours. How…

A:

Q: The cost of a car including tax is $26,521.25. If the tax rate is 8.25%, how much was the car before…

A: Cost of car including tax = $26521.25 Tax rate = 8.25% of original cost of car

Q: Write this equation in the simple form, I have the solution but I have a difficult time…

A: Given Simplify -2×6x2+43-6x2+423x2+4x2+432

Q: Dilbert needs to mix a 10% alcohol solution with a 50% alcohol solution to create 100 millileters of…

A: Let x ml=the quantity of 10% alcohol solution. So, the quantity of 50% alcohol solution is (100-x)…

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

A:

Q: The quantity demanded each month of the Sicard sports watch is related to the unit price by the…

A: Differentiating with respect to x, we get:

Q: Two cyclists, 64 miles apart, start riding toward each other at the same time. One cycles 3 times as…

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.