by setting up and solving an appropriate algebraic equation. A pharmacist has a 6% solution of cough syrup and a 14% solution of the same cough syrup. How many ounces of each must be mixed to make 16 ounces of a 10% solution of cough syrup?

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: given the equation 4x-6=10(x-1)+7, what will be the value of x to make the equation true?

A: Consider the equation, 4x-6=10x-1+7

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: Fiona, Ben, and Catherine are siblings whose ages are consecutive even integers. Fiona is the…

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: use an algebraic approach to solve each problem. In a class of 62 students, the number of females is…

A: let x is the number of male and y is the number of females. Thus x+y=62     ....(1) Also given, the…

Q: by setting up and solving an appropriate algebraic equation. Suppose that you have a supply of a 30%…

A: Suppose we are mixing x quarts of 30% solution and y quarts of 40% solution, the amount of alcohol…

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 10-foot board is to be cut into 3 pieces. Two of the pieces will be the same length and one piece…

A: Topic:- algebra

Q: Five less than one times the quotient of a number and 7 is equal to 6 less than four times the…

A: Let the number be x Then the quotient of number and 7 is x7

Q: A vending machine has three times as many quarters in it has dollar bills. If the quarters and…

A: A vending machine has three times as many quarters in it has dollar bills. If the quarters and…

Q: three times the sum of b and 8 is equal to negative 48   translate to an equation

A:

Q: A cell phone company charges $30.00 per month for the first 300 minutes and $0.10 per each…

A: The required equation is  30+0.10*m=45

Q: A moving company charges $250 to rent a truck and $.40 for each mile driven. Mr. Lee paid a total of…

A: As per the company guidelines I'm restricted to solve your first question only. If you want to solve…

Q: Set up the equation -32 times a number minue 17 is equal to -28 less then the number

A:

Q: A wallet has an amount of P5,000.If it only has P200 bills and P100 bills and the total number of…

A:

Q: set up an equation and solve each problem. On a 135-mile bicycle excursion, Maria averaged 5 miles…

A: You have to set this up as 2 different parts of long trip.    Lets call the 2nd part of the…

Q: What value of x makes the equation -4+12x=8

A: SOLUTION-

Q: The sum of three consecutive even integers is 258. Find the three integers.

A:

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: A person wishes to build a rectangular fence that will enclose an area of 317 square feet. The width…

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: An IT storekeeper ordered x mp4 players for a total cost of €840. He sold them at €20 each more than…

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: by setting up and solving an appropriate algebraic equation. Suppose that the length of a certain…

A: by setting up and solving an appropriate algebraic equation. Suppose that the length of a certain…

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: by setting up and solving an appropriate algebraic equation. How many cups of grapefruit juice must…

A: To find: How many cups of grapefruit juice must be added to 40 cups of punch that is 5% grapefruit…

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

A:

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: set up an algebraic equation and solve each problem. Employees of an accounting firm were given a…

A: Givenemployees=540To find overweight employees.

Q: A boy has $4.85 in nickels, dimes, and quarters.  If he has 35 coins in all, and five more quarters…

A: Let n represents the number of nickels.

Q: solve each problem by setting up and solving the appropriate equation. Working together, Lolita and…

A: If work can be done in c hours by two persons and one person can complete the work in a hours and…

Q: by setting up and solving an appropriate algebraic equation. A car leaves a town at 60 kilometers…

A: Given:           Speed of first car =60 km/hrSpeed of second car =75 km/hr

Q: A tree farm charges $75.00 for a 5 - foot orange tree and $50.00 for delivery regardless of the…

A: A tree farm charges $75.00 for a 5 foot orange tree and $50.00 for delivery and delivery charge is…

Q: If the third of the three consecutive integers are increased by 14, it is equal to twice the first,…

A:

Q: by setting up and solving an appropriate algebraic equation. Two airplanes leave Chicago at the same…

A: For the first airplane: Given:  Travels at 450 miles per hour  Speed=450 miles per hour          Let…

Q: If a variable is divided by a number and that quotient is equal to some number, the first step in…

A: The given statement is False.

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

A:

Q: Find the indicated variable. Solve for x. (x+16) (4x-5)°

A:

Q: The solution set of the equation (x - 3) (3x + 5) = 0 is ___________  .

A: Given equation:  (x - 3) (3x + 5) = 0

Q: Two cars leave the same spot at 10 AM and travel in opposite directions. If one car is travelling at…

A:

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: use an algebraic approach to solve each problem. If a computer costs an electronics dealer $300, and…

A: Given that, computer costs an electronics dealer $300, Sell price = $800   The profit is the selling…

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

A:

Q: by setting up and solving an appropriate algebraic equation. How many gallons of a 12%-salt solution…

A: Let x gallons of 12%-salt solution be mixed with 6 gallons of a 20%-salt solution to obtain a…

Q: Describe, in words, how you would solve an equation similar to 3-4 2x-1 = 2x+7 3x+2

A:

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

A:

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…

Q: Pablo's father is 4 years older than his mother and Pablo is a third of his mother's age. If their…

A: topic - linear equation in one variable

Q: A concert promoter needs to make $81,000 from the sale of 1800 tickets. The promoter charges $40 for…

A: x+y=1800x= number of $40 ticketsy= number of $70 tickets

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.