One inlet pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours. How long will it take the pipe to fill the pool if the drain is left open? Show the equation(s) and the solution in hours.

Q: Solve x3 - 5x2 + 6x - 2 divided by x + 3 with steps.

A: Division of polynomial s

Q: solve equation for x   37x+1-6=0

A: To solve the given equation for x.

Q: Find two consecutive odd integers such that 3 times the square if the larger is 45 more than 10…

A: Let the two consecutive odd integers be (2x+1) and (2x=3) according to the question 3 times the…

Q: Nicholas paddles his canoe downstream from the Lodge to Big Bend in 2 hours and then back upstream…

A: Let x be the speed in still water and y be the speed of the current. Tabulate the given information

Q: Identify the type of solution for the problem and solve for the general equation

A:

Q: Solve for the value of 'x' 2x

A: Answer

Q: Solve equation.    2x/(x2 + 6x + 8)=x/(x + 4) -2/(x + 2)

A: Here given equation

Q: A 30 inch rope is cut into two pieces. One piece is twice the length of the other piece. How long is…

A: Let the length of the shorter rope be x  Then the length of the larger rope becomes 2x As the total…

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: The sum of the four consecutive even integers is 100. Write an equation that models this situation…

A: Given, the sum of the four consecutive even integers is 100. Let the first integer be 'x' ∴…

Q: Find the general solution  of the equation

A:

Q: Solve

A: Given,           x3+3x4=2

Q: Solve equation.  √(2x - 3) + x = 3

A:

Q: A cyclist managed to ride 5 miles against the wind in the same time that it took him to 10 miles…

A: Let x = rate of speed of the cycle  He ride 5 miles against the wind and 10 miles with the wind.

Q: An author works on a new book and after writing a few chapters, begins a new plan to write 600 words…

A:

Q: Solve equation (3x/5-x-3/2=x+2/3)

A: Given information:The given equation is 3x/5-x-3/2=x+2/3.

Q: Solve the equation. 5x (x+ 2) 9 °{-1+ } -170) V70 -1+ {1+ } V70

A: Given,

Q: Fahd's age is now twice the age of Faisal. If Fahd's age 6 years ago is equal to four times Faisal's…

A:

Q: Solve 4*- - gr-4 a. b. x- 2 d. 213

A: Solution: The objective is to solve the given equation

Q: clear

A:

Q: A couple has $25,000 in their retirement savings today. How many years do they have to save at 6%,…

A: Fixed amout that he have in starting = 25000 Let for x years he invest so, amount taken on 25000…

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: A cyclist managed to ride 5 miles against the wind in the same time than it took him to ride 10…

A: Let x be the speed of the cyclist and the speed of the wind is 4 mph.

Q: solve for the value of x: 10z-3=7z+9

A:

Q: Solve for the value of x. (4x) (5х- 15)° (10x- 30)°

A:

Q: When solving the equation 4(3x +2)-9 = &x² +7, Emily wrote 4(3x² +2) = &x + 16 as her first step.…

A: 4(3x2+2)-9=8x2+7 Emily wrote 4(3x2+2)=8x2+16

Q: In the equation 2 > Z, which value is NOT a part of the solution?

A: We have 2>Z The solution contains all the values of Z that are less than 2 So, the solution set…

Q: Leah wants to invest 12,000 in an account that pays 4.5 annual interest write equations for the…

A: A = p(1+r)^t

Q: find all solutions to the equation secx=-4

A:

Q: The number of players leaving the league can be calculated by starting with the quantity of four…

A: The objective of the question is representation to equation of the given situation.

Q: A 23­inch piece of string is to be cut into two pieces so that the length of the longer piece is…

A: Given: A 23­ inch piece of string is to be cut into two pieces so that the length of the longer…

Q: Solve equation.  4/(x + 2) +2/(x - 4) =30/(x2 - 2x - 8)

A:

Q: Solve the equation. 5q-4 4 =D4

A:

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: The area of a rectangle is 60 square feet. If the length of the rectangle is seven more feet than…

A: From the given problem:   Area of the rectangle = 60 square feet.   As we know that:   Area of the…

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: Solve for x. (3x - 63) A - C. (2x + 2)

A: We have to find x

Q: Solve linear equation. 7x + 4 = x + 16

A: we have been given the linear equation  7x+4=x+16

Q: please solve it as soon as possible

A:

Q: for 1b of this question, could you explain why why all the solutions of the original equation are…

A: It is provided that the original equation is (x2+y2-1)2+4y2-1=0 and the corresponding polar equation…

Q: Where do I start when solving for x in this equation:…

A: We have4[ 2x - ( x + 3 )] = 6 (x - 9)4(2x -x -3) = 6 (x - 9)4( x - 3) = 6 (x - 9)

Q: 3x-3 60

A: Given two parallel lines intersecting by a transversal line.

Q: Solve for x. 23x D - 12 10z2

A: Topic - zeros of quadratic equation

Q: 2. +3x+ 2 = 0

A: We have to find

Q: The product of two consecutive integers is 19 more than their sum. Find the integers

A: Let x be an integer and x+1 be its consecutive integer.It is given that their product is 19 more…

Q: The equation used to predict how long a cold will last is ŷ=-1.8 + 0.09x1 + 3.2x2 – 1.9x3, where…

A: From the given information, the regression equation is y^= ̶ 1.8+0.09x1+3.2x2 ̶ 1.9x3. Here, x1 is…

Q: Solve equation.   3x2 - 7x + 1 = 0

A:

Q: Solve the equation 3x2 - 2x - 2 = 0. Show all your working and give your answers correct to 2…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.