A concert promoter needs to make $43,100 from the sale of 1780 tickets. The promoter charges $20 for some tickets and $35 for the others. Let x represent the number of $20 tickets and y represent the number of $35 tickets. (a) Write an equation that states that the sum of the tickets sold is 1780.       (b) Write a formula for how much money is received from the sale of $20 tickets? $        (c) Write a formula for how much money is received from the sale of $35 tickets? $        (d) Write an equation that states that the total amount received from the sale is $43,100.       (e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $43,100. x  =    y  =

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: Solve the equation: x^1/3 - x^1/6 - 2=0

A: Given problem:- Solve the equation: x1/3 - x1/6 - 2=0

Q: Solve the equation. 7x2 +5 - x = 6x2 + 10 x = [?] [ √ +1 []

A: We can solve the equation in the following steps.

Q: Solve the equation for x.  4ex . e-2x = 6

A: The given equation is 4ex.e-2x=6

Q: Members of a baseball team raised $967.50 to go to a tournament. They rented a bus for $450.00 and…

A:

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: 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: Part A Joan bought a soft drink for 3 dollars and 8 candy bars. She spent a total of 43 dollars. How…

A: Solution

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

A:

Q: A student has a savings account with $475 in it. She deposits $125 of her paycheck into the account…

A: A student has a savings account with $475 in it. She deposits $125 of her paycheck into the account…

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: A club bought a total of 280 orchestra and balcony tickets to an off-broadway show for a total of…

A:

Q: solve the equation 2\x-3 + 4\x+1=10

A: Given: 2x-3+4x+1=10

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A:

Q: use an algebraic approach to solve each problem. Sarah has a collection of nickels, dimes, and…

A:

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: Joey wants to buy a used car that costs $2500. He has already saved $1200 and makes $50 a week as a…

A: Given that , Joey wants to buy a used  car that costs $ 2500. He has already saved $1200 and makes $…

Q: Solve the equation 6 = -9 - 6x for x

A:

Q: Translate the following sentence into a mathematical equation: The total revenue R from selling x…

A: The total revenue R from selling x hot dogs is $3 times the number of hot dogs sold.

Q: use an algebraic approach to solve each problem. Suppose that Javier has a handful of coins,…

A: First, we shall list out the conversion between penny, nickel, and dime to dollar: 1 penny=0.01 $1…

Q: . A company hopes to hire 25 new employees each year. If the company employs 430 people today,…

A: Given that, Present no of employees in the company= 430 Every year they hire 25 new employees.

Q: A group of friends wants to go to the amusement park. They have $87.25 to spend on parking and…

A: The group of friends have $87.25 to spend on parking and admission. Parking fee is $6.25, which will…

Q: Compare the golf equation of h(x)=-16x2+120x and the baseball equation of h(x)=-16x2+60x+4 . What do…

A: Given that     The golf equation is h(x)= -16x2+120x    The baseball equation is h(x)= -16x2+60x+4

Q: 15 is always equal to the product of a number and 5” translates to a mathematical equation. true or…

A: 3×5=15

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: Carmen climbed to the top of a cliff 35ft above sea level she then dove into the ocean traveling a…

A:

Q: 1) Write the following statement as an equation and solve. Jake​ Drewrey, owner of​ Jake's…

A: The solution is given below.

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A: Given, Bobs sell phone company charges a bill for a month as follows:  unlimited calls and internet…

Q: set up an algebraic equation and solve each problem. The ratio of male students to female students…

A: To find the number of male and female student

Q: Charles needs enough fencing to enclose a rectangular staden with a perimeter of 140 feet . If the…

A: Perimeter of rectangular garden=140 feetLet length of garden is x & width is given 30…

Q: Solve the equation for x. x(x − 2) = 15

A:

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: Solve the equation. 5(x-2)/6 -x =1- x/9 x=?

A: 5x-26-x=1-x9

Q: Set up an equation and solve. A student has 8 liters of a 10% alcohol solution. How much pure…

A: Let x be the amount(in litres) pure alcohol the student should add.

Q: Set up an equation and solve.A rectangular piece of metal is 5in. longer than it is wide. Squares…

A:

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: Set up an equation and solve the following problem. Kent drives 240 miles in the same time that it…

A: The distance travelled by Kent, dK = 240 miles The distance travelled by Dave, dD = 220 miles  To…

Q: Victoria bought a jacket on sale for 20% off, and paid $85. What was the original price of the…

A:

Q: set up an algebraic equation and solve each problem. A 20-foot board is to be cut into two pieces…

A: Given- A 20-foot board is to be cut into two pieces whose lengths are in the ratio of 7 to 3. To…

Q: Time t-shirt shop charges a flat fee of $50 for a logo and $10 per T-shirt. XYZ T-shirt company…

A: Given First shop charges $50 for logo and $10 per T-shirt Second shop charges $15 for logo and $15…

Q: by setting up and solving an appropriate algebraic equation. A pharmacist has a 6% solution of cough…

A: A pharmacist has a 6% solution of cough syrup and a 14% solution of the same cough syrup. Let x…

Q: Solve for the variable: √(d+4) -√(6+2d)=-1

A: The equation is given as

Q: Solve the equation x" +9x = - 35(t-). x(0) = 1, x'(0) = 0

A:

Q: Solve the equation exactly for (0,2π)

A: Given trigonometric equation is:  Simplifying the equation,  Therefore,The solution to the given…

Q: A doggie daycare charges a flat registration fee of $5 plus a $16 charge per day. a) Write an…

A: Registration fee for doggie care is $5 and per day $16 is charged. It is asked to find equation for…

Q: Solve the equation for the value of x:         2x-3  = x-4 - x+1…

A: The given equation is

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A: Given: Expense each day is $2,250 per day. Overhead expenses are %6 per camera. Selling price of the…

Q: Emanuel can paint a room in 6 hours. Tom can paint the same room in 8 hours. How long does it take…

A: Given Emanuel can paint a room in 6 hours Tom can paint the same room in 8 hours

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.