set up an equation and solve each problem. A student did a word processing job for $24. It took him 1 hour longer than he expected, and therefore he earned $4 per hour less than he anticipated. How long did he expect that it would take to do the job?

Q: solve each equation. -2(3n - 1) + 3(n + 5) = -4(n - 4)

A: Given: The equation is -2(3n - 1) + 3(n + 5) = -4(n - 4). Calculation: The value of n can be…

Q: 2. V3x-1=-3

A:

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: solve each equation. 2a2 + 4a - 5 = 0

A: Quadratic equations are polynomial equation having degree of 2. They are in form ax2+bx+c=0 and have…

Q: Solve the equation without using a calculator.

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

Q: use an algebraic approach to solve each problem. Abby has 37 coins, consisting only of dimes and…

A: To solve the given problem.

Q: use an algebraic approach to solve each problem. If a pair of shoes costs a retailer $24, and he…

A: Given: The pair of shoes costs $24 for retailer. And, he sell them for $39.60. Let r represent the…

Q: Set up an equation and solve each of the following problems. To travel 60 miles, it takes Sue,…

A: Consider the provided information, Let t is the time for Doreen to go 50 miles and r is the Doreen's…

Q: 14. -1-2x-VI-3x =-1 3x -1

A: Given equation is -1-2x-1-3x=-1 solve the given equation and check extraneous solution

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: solve each equation. (a + 4)/4 = 3/a

A: Given: a+44=3a

Q: solve each equation. (2x - 5)/12 + (3x + 1)/4 = (x - 4)/6

A: To Solve: 2x-512+3x+14=x-46

Q: Which equation will solve the following word problem? Trey's income is $38,500, which is $4,250 less…

A:

Q: John Smith charges $100 for each yard he cuts. He makes $1000 every month he cuts which is 4 times a…

A:

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: 4) Solve each equation. a. 621 = 67x b. 5×+3 = C. 3x²-7 = 272x

A:

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: Write out the equation for the story problem and solve for the original price. Darnell paid $200 for…

A:

Q: set up an algebraic equation and solve each problem. An inheritance of $300,000 is to be divided…

A: Let the money received by the son be $3x. Then the money received by the local heart fund is $x…

Q: Solve the equation without using a calculator.

A: We know that, from property of exponents, am=an⇔m=n

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

A: We have to find x

Q: Two-thirds of Ariadne’s money together with five-sevenths of Brian’s money is equal to three-fifths…

A: Let Ariadne's money  = x Brian's money = y And Catriona's money = z

Q: 16. 3x+1-Vx-4 =3

A:

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: Solve the following equation. |x-8| = 5

A: Given           | x-8 | = 5 We know that          |X| = +-x

Q: solve each equation. |x - 3/4| = 2/3

A:

Q: Write the solution statement for all of the solutions to the equation - 5sec(0) = 10.

A:

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

A:

Q: .6= /m-3 т-3

A: Given : 6 = m-3

Q: Set up an equation that could be used to solve for the variable. 11 60°

A:

Q: Solve each equation. 7p+2 - 343

A: As we know from the exponent rule; If am=an then m=n   Given: 7p+2=343

Q: Solve each by setting up and solving an appropriate equation. Yuri bought a pair of running shoes at…

A: 25% discount sale for $78

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: 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. 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 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: Write out the equation for the story problem and solve for the original price. Darnell paid $220 for…

A: Consider the given statements. Let the original price of the t.v be x

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

A: given,

Q: Solve the equation without using a calculator .

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

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

A:

Q: A man bought a cow and a calf for $990, paying 8 times as much for the cow as for the calf. What was…

A: Let the cost of the calf= x  Cost of the cow = 8x  So total cost= x+8x=9x

Q: A licensed nurse practitioner is instructed to give a patient 2100 milligrams of an antibiotic over…

A: A licensed nurse practitioner is instructed to give a patient 2100 milligrams of an antibiotic over…

Q: Solve each equation and check for extraneous solutions: 7. .4/3x + 10 = 8 8. V5x -9- 13 = -7

A: Solve the equations

Q: Set up an equation and solve for x. 8 12

A:

Q: mna bought a calculator for two-thirds of its original price, and used a card that gave her a…

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 equation for x. 2/3 x - 1/4 a = b

A: Consider the given equation as, 23x-14a=b

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…

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.