Solve each by setting up and solving an appropriate equation. Carolyn has 19 bills consisting of ten-dollar bills, twentydollar bills, and fifty-dollar bills. The number of twenties is three times the number of tens, and the number of fifties is one less than the number of tens. How many of each bill does Carolyn have? How much money does she have?

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: Isaiah weighs 10 pounds more than his friend Geoff. If the sum of their weights is 360 ​pounds, how…

A: Let x be Geoff’s weight in pounds. It is given, Isaiah weighs 10 pounds more than Geoff. Then…

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: 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: Her monthly salary is twice the sum of her husband’s salary and four. Her monthly salary is also…

A:

Q: solve each equation. 2 + 4/(t - 1) = 4/(t2 - t)

A: Given: 2+4t-1=4t2-t

Q: If Andrew has 3 times as many quarters as nickels and they have a combined value of 400 cents, how…

A:

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: 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: 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: 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: 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: 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: Translate the sentence to an equation and then solve. Twenty- four more than the product of four…

A:

Q: A collection of pennies and nickels has the value of $1.59. There is one more than twice as many…

A:

Q: In a​ triangle, the measure of the first angle is three times the measure of the second angle. The…

A: let measure of angle of triangle are ∠x , ∠ y , ∠z respectively. so,              ∠x +∠ y +∠z =180°

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

A:

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

A: Given52a-1=-63a+2To finda

Q: Solve each equation. r-10 =4

A: Explanation of the solution is given below...

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: The sum of Annie's, Bert's, and Chris's ages is 60. Annie is older than Bert by the same number of…

A: Let Annie, Bert and Chris present ages be A, B and C. Given A+B+C=60 Let Annie be older than Bert by…

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: A box contains only dimes and quarters. The number of dimes is three less than twice the number of…

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: set up an equation and solve each problem. Find two integers whose sum is 2 and whose product is…

A: Find two integers whose sum is 2 and whose product is -48.

Q: Translate the sentence into a equation and solve   the sum of one-fifth p and 38 is as much as…

A: Given that the sum of 1/5th p and 38 is as much as twice

Q: 30°

A: sec (angle) = hypo/ base cot(angle) = base/perpendicular  use this we will calculate b and c both…

Q: Solve each equation.  C-4/4 = c-4/8

A: Assuming the given the equation:

Q: Ahmed drove a car from Muscat to Abu Dhabi, a distance of 500 km, and then returned to Muscat. The…

A: Distance between Muscat and Abu Dhabi = 500Km let going from Muscat to Abu Dhabi speed of car = x…

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 equation. 5x2 = 43x - 24

A: 5x2 = 43x - 24 It can be re-written as  5x2 - 43x + 24 = 0

Q: Matt has twice as many stickers as David. How many stickers must Matt give David so that they will…

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 of the equations. (5x - 4) = √(5x - 4)

A: Given: 5x-4=5x-4

Q: A boy has to cover 4km to catch a bus. He travels part of the distance at 3km/h and runs the rest at…

A: Given that, Distance covered to catch a bus = 4 km Speed of walking = 3 km/hr Speed of running = 5…

Q: 2. Solve each equation. a) s. b) 2x - 5x -3

A:

Q: Solve each equation and check for extraneous solutions. Show work for full credit. 1) V7n = n 2) 9 =…

A:

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: 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 each equation. 30w2 - w - 20 = 0

A: Solve the equation 30w2-w-20=0 using middle term splitting. First, split the middle term -w.…

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 by setting up and solving an appropriate equation. The width of a rectangle is 2 meters…

A: Let ABCD be the rectangle with length l and width b  area of reactangle lb and perimeter is 2(l+b)

Q: solve each equation. 3w3 - 24w2 + 36w = 0

A: we have to solve the equation :-  3w3-24w2+36w=0

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.